{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "#### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from datetime import timedelta\n", "import json\n", "import pprint\n", "from copy import deepcopy\n", "\n", "import cufflinks\n", "cufflinks.go_offline()\n", "import numpy as np\n", "from numpy.polynomial import Polynomial\n", "import pandas as pd\n", "from tqdm.notebook import tqdm\n", "\n", "from pyrecoy.assets import Heatpump, Eboiler, GasBoiler, HotWaterStorage\n", "from pyrecoy.colors import *\n", "from pyrecoy.converters import *\n", "from pyrecoy.financial import calculate_eb_ode, get_tax_tables, get_tax_rate, get_grid_tariffs_electricity\n", "from pyrecoy.framework import TimeFramework\n", "from pyrecoy.casestudy import CaseStudy\n", "from pyrecoy.plotting import ebitda_bar_chart, npv_bar_chart\n", "from pyrecoy.reports import CaseReport, ComparisonReport, BusinessCaseReport, SingleFigureComparison\n", "from pyrecoy.sensitivity import SensitivityAnalysis\n", "from pyrecoy.prices import get_tennet_data, get_afrr_capacity_fees_nl\n", "from pyrecoy.forecasts import Mipf\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "#### Development backlog" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "* aFRR (can improve the optimisation case)\n", "* Report\n", "\n", "--\n", "* Create strategy on imbalance POS (buy 100% day-ahead, and respond to high prices)\n", "* Graphs\n", " * EBITDA vs. baseline (earnings vs baseline)\n", "* Show COP curves in different cases, just for illustration\n", "* Energy report --> Check + add gas\n", "* Fix comparison reports\n", "* Model verification" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "#### Meeting Notes" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "##### Meeting 25-11-2020" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "* aFRR can help optimisation case\n", "* SDE++ should be included\n", "* Tsource sensitivity really gives interesting insights\n", "* Sensitivities should be verified (especially CO2, Tsink, Tsource, time period)\n", "* AP TNO: Update/verify COP curve\n", "* AP TNO: Update CAPEX\n", "* AP Mark: \n", " * Create graphs on COP curve with different Tsource, Tsink\n", " * Generate table and output in .csv (send it to Andrew)\n", "* Investigate opportunity to lower the COP and negative electricity prices\n", " * Technically feasible, but not really needed/possible to do it in this project\n", "* Could be interesting to run this model on a usecase with higher delta T\n", "* Conclusion: Finalize this model, but not add too much extra complexity, next steps is to go towards industrial partners with the results" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "# ENCORE : Heatpump Optimisation Framework\n", "\n", "***\n", "© Mark Kremer \n", "July 2020\n", "##### Cases\n", "In this model, 3 cases are compared:\n", "* **Baseline** : All heat is supplied by steam turbine\n", "* **Heatpump case** : All heat is supplied by heatpump\n", "* **Hybrid case** : Steam turbine and heatpump run in hybrid mode, and are optimised on costs in real-time" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "#### Loading config" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "class Config():\n", " start = '2019-01-01'\n", " end = '2019-12-31'\n", " \n", " hp_vdg_e_power = 23.3 # MW\n", " hp_ndg_e_power = 7.7 # MW\n", " hp_min_load = 0\n", " hp_lifetime = 25\n", " hp_capex = 200_000 # EUR/MWth\n", " hp_opex = 0.01 # in % of CAPEX\n", " hp_devex = 0.005 # in % of CAPEX\n", " \n", " gb_power = 35 # MW\n", " gb_efficiency = 0.9\n", " \n", " storage_power = 25\n", " storage_volume = 1000\n", " storage_cap_per_volume = 50 * 1e-3\n", " storage_lifetime = 25\n", " storage_temperature = 95\n", " storage_min_level = storage_volume * storage_cap_per_volume * 0.05\n", " storage_capex_per_MW = 7_000\n", " storage_capex_per_MWh = 5_000\n", " storage_opex_perc_of_capex = 0.02\n", " # storage_initial_level = 5\n", " threshold = 20\n", " \n", " tax_bracket_g = 4 \n", " tax_bracket_e = 4\n", " \n", " include_transport_costs = False\n", " grid_operator = 'Liander'\n", " connection_type = 'TS/MS'\n", " \n", " discount_rate = 0.1\n", " project_duration = 12\n", "\n", " forecast = 'ForeNeg'\n", " gas_price_multiplier = 1\n", " e_price_multiplier = 1\n", " e_price_volatility_multiplier = 1\n", " co2_price_multiplier = 1\n", " tsource_delta = 0\n", " tsink_delta = 0\n", " energy_tax_multiplier = 1\n", " \n", " # Review the SDE implementation\n", " sde_base_amount = 81\n", " longterm_gas_price = 24.00\n", " longterm_co2_price = 37.90\n", " sde_switch_price_correction = 40\n", " \n", " day_ahead_buying_perc = 0.3\n", " \n", " afrr_capacity_fee = 25_000\n", "\n", "c = Config()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "class Store():\n", " pass" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Model set-up" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def load_demand_data(c, s):\n", " demand = pd.read_csv('data/smurfit_demand_preprocessed.csv', delimiter=';', decimal=',')\n", " dt_index = pd.date_range(\n", " start=s.time_fw.start,\n", " end=s.time_fw.start + timedelta(days=365), freq='1T',\n", " closed='left',\n", " tz='Europe/Amsterdam')\n", " demand.index = dt_index\n", " demand['Total demand'] = demand['MW (VDG)'] + demand['MW (NDG)']\n", " demand = demand[c.start:c.end]\n", " return demand" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "s = Store()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\shahla huseynova\\recoy\\recoy - documents\\03 - libraries\\29 - pyrecoy modelling framework\\v1.2\\pyrecoy\\pyrecoy\\framework.py:40: UserWarning:\n", "\n", "The chosen timeperiod spans 365.99930555555557 days, which is not a full year. Beware that certain functions that use yearly rates might return incorrect values.\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Warning: Entries missing from dataset 'imbalanceRT_nl.csv'.\n", "Issue solved: Dataset was reindexed automatically.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_36740/332434720.py:3: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n" ] } ], "source": [ "def setup_model(c):\n", " s = Store()\n", " \n", " s.time_fw = TimeFramework(start=c.start, end=c.end)\n", " mipf = Mipf(start=s.time_fw.start, end=s.time_fw.end, tidy=True, include_nextQ=True,\n", " folder_path = r\"C:\\Users\\Shahla Huseynova\\Recoy\\Recoy - Documents\\03 - Libraries\\12 - Data Management\\Forecast Data\"\n", " ).data\n", " \n", " s.baseline = CaseStudy(time_fw=s.time_fw, freq='1T', name='Baseline')\n", " s.hpcase = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump only', data=mipf)\n", " #s.hpcase_sde = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + SDE', data=mipf)\n", " #s.optcase1 = CaseStudy(time_fw=s.time_fw, freq='1T', name='Optimisation', data=mipf)\n", " #s.afrr_case = CaseStudy(time_fw=s.time_fw, freq='1T', name='Optimisation + aFRR', data=mipf)\n", " s.storage_case = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + Storage', data=mipf)\n", " \n", " s.cases = list(CaseStudy.instances.values())\n", " #s.optcases = [s.hpcase, s.hpcase_sde, s.optcase1, s.afrr_case]\n", " s.optcases = [s.hpcase, s.storage_case]\n", " #s.sde_cases = [s.hpcase_sde, s.optcase1, s.afrr_case]\n", " s.sde_cases = []\n", " \n", " s.demand = load_demand_data(c, s)\n", " return s\n", "\n", "s = setup_model(c)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": true 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Tsource (VDG)Tsink (VDG)MW (VDG)Tsource (NDG)Tsink (NDG)MW (NDG)Total demand
count525600.000000525600.000000525600.000000525600.000000525600.000000525600.000000525600.000000
mean63.658798138.63767417.63671262.176305145.3516455.82382423.460537
std6.42277314.3285805.12325210.25255514.8960561.6916976.814125
min25.31000082.4800000.00000013.540000106.3300000.0000000.000000
25%64.892000126.07400017.01400063.516000131.5515005.61200022.676000
50%64.991000142.45000019.89200064.313000148.4900006.54000026.441000
75%65.076000151.73000020.81900065.546000158.1000006.88000027.690000
max70.070000166.02000023.25000073.470000172.0500007.65000030.900000
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" ], "text/plain": [ " Tsource (VDG) Tsink (VDG) MW (VDG) Tsource (NDG) \\\n", "count 525600.000000 525600.000000 525600.000000 525600.000000 \n", "mean 63.658798 138.637674 17.636712 62.176305 \n", "std 6.422773 14.328580 5.123252 10.252555 \n", "min 25.310000 82.480000 0.000000 13.540000 \n", "25% 64.892000 126.074000 17.014000 63.516000 \n", "50% 64.991000 142.450000 19.892000 64.313000 \n", "75% 65.076000 151.730000 20.819000 65.546000 \n", "max 70.070000 166.020000 23.250000 73.470000 \n", "\n", " Tsink (NDG) MW (NDG) Total demand \n", "count 525600.000000 525600.000000 525600.000000 \n", "mean 145.351645 5.823824 23.460537 \n", "std 14.896056 1.691697 6.814125 \n", "min 106.330000 0.000000 0.000000 \n", "25% 131.551500 5.612000 22.676000 \n", "50% 148.490000 6.540000 26.441000 \n", "75% 158.100000 6.880000 27.690000 \n", "max 172.050000 7.650000 30.900000 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.demand.describe()" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Load in data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def add_afrr_prices(c, case):\n", " try:\n", " aFRR_signal = pd.read_csv(f'data/aFRR_{c.start}.csv', delimiter=';', decimal=',', index_col='datetime')\n", " aFRR_signal.index = case.data.index\n", " except:\n", " data = get_tennet_data('balansdelta2017', pd.to_datetime(c.start), pd.to_datetime(c.end))\n", " data.index = data[[\"datum\", \"tijd\"]].apply(lambda x: \" \".join(x), axis=1)\n", " data.index = pd.to_datetime(data.index, format=\"%d-%m-%Y %H:%M\").tz_localize(\n", " \"Europe/Amsterdam\", ambiguous=True\n", " )\n", " data = data[~data.index.duplicated(keep=\"first\")]\n", " date_ix = pd.date_range(\n", " data.index[0], data.index[-1], freq=\"1T\", tz=\"Europe/Amsterdam\"\n", " )\n", " data = data.reindex(date_ix)\n", " aFRR_signal = data[['Hoogste_prijs_opregelen', 'Mid_prijs_opregelen', 'Laagste_prijs_afregelen']]\n", " aFRR_signal.to_csv(f'data/aFRR_{c.start}.csv', sep=';', decimal=',', index_label='datetime')\n", "\n", " try:\n", " aFRR_prices = pd.read_csv(f'data/aFRR_prices_{c.start}.csv', delimiter=';', decimal=',', index_col='datetime')\n", " aFRR_prices.index = case.data.index\n", " except:\n", " data = get_aFRR_prices_nl(pd.to_datetime(c.start), pd.to_datetime(c.end))\n", " data.index = pd.date_range(\n", " start=c.start,\n", " end=pd.to_datetime(c.end) + timedelta(days=1),\n", " tz='Europe/Amsterdam', \n", " freq='15T', \n", " closed='left'\n", " )\n", " aFRR_prices = data.reindex(case.data.index, method='ffill')\n", " aFRR_prices.to_csv(f'data/aFRR_prices_{c.start}.csv', sep=';', decimal=',', index_label='datetime')\n", " \n", " case.data = pd.concat([case.data, aFRR_signal, aFRR_prices], axis=1)\n", " return case" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def increase_volatility_by_factor(col, factor):\n", " mean = col.mean()\n", " diff_to_mean = col - mean\n", " new_diff = diff_to_mean * factor\n", " return mean + new_diff\n", "\n", "def multiply_by_factor(col, factor):\n", " mean = col.mean()\n", " diff_to_mean = col - mean\n", " \n", " cond = diff_to_mean > 0\n", " diff_to_mean[cond] *= factor\n", " diff_to_mean[~cond] /= factor\n", " return mean + diff_to_mean" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def load_data(c, s):\n", " if hasattr(s, 'afrr_case'):\n", " s.afrr_case = add_afrr_prices(c, s.afrr_case)\n", " \n", " for case in s.cases:\n", " case.add_gasprices()\n", " case.add_co2prices(perMWh=True)\n", " \n", " case.data['Gas prices (€/MWh)'] *= c.gas_price_multiplier\n", " case.data['CO2 prices (€/MWh)'] *= c.co2_price_multiplier\n", " case.data['CO2 prices (€/ton)'] *= c.co2_price_multiplier\n", " \n", " for case in s.optcases:\n", " case.data['NEG'] = multiply_by_factor(case.data['NEG'], c.e_price_multiplier)\n", " case.data['ForeNeg'] = multiply_by_factor(case.data['ForeNeg'], c.e_price_multiplier)\n", " case.data['DAM'] = multiply_by_factor(case.data['DAM'], c.e_price_multiplier)\n", " \n", " case.data['NEG'] = increase_volatility_by_factor(case.data['NEG'], c.e_price_volatility_multiplier)\n", " case.data['ForeNeg'] = increase_volatility_by_factor(case.data['ForeNeg'], c.e_price_volatility_multiplier)\n", " \n", " if hasattr(s, 'afrr_case'):\n", " for case in [s.afrr_case]:\n", " case.data['Hoogste_prijs_opregelen'] = multiply_by_factor(case.data['Hoogste_prijs_opregelen'], c.e_price_multiplier)\n", " case.data['Hoogste_prijs_opregelen'] = increase_volatility_by_factor(case.data['Hoogste_prijs_opregelen'], c.e_price_volatility_multiplier)\n", " case.data['aFRR_up'] = multiply_by_factor(case.data['aFRR_up'], c.e_price_multiplier)\n", " case.data['aFRR_up'] = increase_volatility_by_factor(case.data['aFRR_up'], c.e_price_volatility_multiplier)\n", "\n", " s.demand[['Tsource (VDG)', 'Tsource (NDG)']] += c.tsource_delta\n", " s.demand[['Tsink (VDG)', 'Tsink (NDG)']] += c.tsink_delta\n", " for case in s.cases:\n", " case.data = pd.concat([case.data, s.demand], axis=1) \n", "\n", " s.eb_ode_g = get_tax_rate('gas', 2020, 4)['EB+ODE'] * c.energy_tax_multiplier\n", " s.eb_ode_e = get_tax_rate('electricity', 2020, 4)['EB+ODE'] * c.energy_tax_multiplier\n", " s.grid_fees = get_grid_tariffs_electricity(c.grid_operator, 2020, c.connection_type)\n", " s.grid_fee_per_MWh = s.grid_fees['kWh tarief'] * 1000\n", " return s\n", "\n", "s = load_data(c, s)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DAMPOSNEGRSForePosForeNegForePos_nextQForeNeg_nextQGas prices (€/MWh)CO2 prices (€/ton)CO2 prices (€/MWh)Tsource (VDG)Tsink (VDG)MW (VDG)Tsource (NDG)Tsink (NDG)MW (NDG)Total demand
2019-01-01 00:00:00+01:0068.9234.8558.012.046.8352.70NaNNaN20.8334.246.664.990143.3600.020.510147.6200.00.0
2019-01-01 00:01:00+01:0068.9234.8558.012.032.1254.45NaNNaN20.8334.246.664.985143.0890.020.387147.6420.00.0
2019-01-01 00:02:00+01:0068.9234.8558.012.030.9748.64NaNNaN20.8334.246.664.980142.8180.020.264147.6640.00.0
2019-01-01 00:03:00+01:0068.9234.8558.012.051.1348.3557.7173.0520.8334.246.664.975142.5470.020.141147.6860.00.0
2019-01-01 00:04:00+01:0068.9234.8558.012.048.0452.0163.6079.0720.8334.246.664.970142.2760.020.018147.7080.00.0
\n", "
" ], "text/plain": [ " DAM POS NEG RS ForePos ForeNeg \\\n", "2019-01-01 00:00:00+01:00 68.92 34.85 58.01 2.0 46.83 52.70 \n", "2019-01-01 00:01:00+01:00 68.92 34.85 58.01 2.0 32.12 54.45 \n", "2019-01-01 00:02:00+01:00 68.92 34.85 58.01 2.0 30.97 48.64 \n", "2019-01-01 00:03:00+01:00 68.92 34.85 58.01 2.0 51.13 48.35 \n", "2019-01-01 00:04:00+01:00 68.92 34.85 58.01 2.0 48.04 52.01 \n", "\n", " ForePos_nextQ ForeNeg_nextQ Gas prices (€/MWh) \\\n", "2019-01-01 00:00:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:01:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:02:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:03:00+01:00 57.71 73.05 20.83 \n", "2019-01-01 00:04:00+01:00 63.60 79.07 20.83 \n", "\n", " CO2 prices (€/ton) CO2 prices (€/MWh) \\\n", "2019-01-01 00:00:00+01:00 34.24 6.6 \n", "2019-01-01 00:01:00+01:00 34.24 6.6 \n", "2019-01-01 00:02:00+01:00 34.24 6.6 \n", "2019-01-01 00:03:00+01:00 34.24 6.6 \n", "2019-01-01 00:04:00+01:00 34.24 6.6 \n", "\n", " Tsource (VDG) Tsink (VDG) MW (VDG) \\\n", "2019-01-01 00:00:00+01:00 64.990 143.360 0.0 \n", "2019-01-01 00:01:00+01:00 64.985 143.089 0.0 \n", "2019-01-01 00:02:00+01:00 64.980 142.818 0.0 \n", "2019-01-01 00:03:00+01:00 64.975 142.547 0.0 \n", "2019-01-01 00:04:00+01:00 64.970 142.276 0.0 \n", "\n", " Tsource (NDG) Tsink (NDG) MW (NDG) Total demand \n", "2019-01-01 00:00:00+01:00 20.510 147.620 0.0 0.0 \n", "2019-01-01 00:01:00+01:00 20.387 147.642 0.0 0.0 \n", "2019-01-01 00:02:00+01:00 20.264 147.664 0.0 0.0 \n", "2019-01-01 00:03:00+01:00 20.141 147.686 0.0 0.0 \n", "2019-01-01 00:04:00+01:00 20.018 147.708 0.0 0.0 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.hpcase.data.head()" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Assets" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### COP curve" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def cop_curve(Tsink, Tsource):\n", " Tsink += 273\n", " Tsource += 273\n", "\n", " c1 = 0.267 * Tsink / (Tsink - Tsource)\n", " c2 = 0.333 * Tsink / (Tsink - Tsource)\n", " \n", " return Polynomial([c2, c1])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$x \\mapsto \\text{1.0829055118110236} + \\text{0.8682755905511811}\\,x$" ], "text/plain": [ "Polynomial([1.08290551, 0.86827559], domain=[-1, 1], window=[-1, 1])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cop_curve(140, 13)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$x \\mapsto \\text{2.052671641791045} + \\text{1.6458358208955224}\\,x$" ], "text/plain": [ "Polynomial([2.05267164, 1.64583582], domain=[-1, 1], window=[-1, 1])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cop_curve(140, 73)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "heatpump = Heatpump(\n", " name='Heatpump',\n", " max_th_power=1,\n", " min_th_power=0,\n", " cop_curve=cop_curve\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=13)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=99)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "import itertools\n", "\n", "source_Ts = np.arange(25, 75) + 273\n", "sink_Ts = np.arange(80, 170) + 273\n", "\n", "df = pd.DataFrame(columns=list(sink_Ts), index=list(source_Ts))\n", "for sourceT, sinkT in itertools.product(source_Ts, sink_Ts):\n", " df.loc[sourceT, sinkT] = heatpump.get_cop(heat_output=0.5, Tsink=sinkT, Tsource=sourceT)\n", " \n", "#df.to_csv('cops_at_50perc_load.csv', sep=';', decimal=',')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sourceT = 63 + 273\n", "sinkT = 140 + 273\n", "loads = np.arange(0, 1, 0.01)\n", "\n", "cop_series = pd.Series(index=loads, dtype='float')\n", "load_series = pd.Series(index=loads, dtype='float')\n", "for load in loads:\n", " cop = heatpump.get_cop(heat_output=load, Tsink=sinkT, Tsource=sourceT)\n", " cop_series[load] = cop\n", " load_series[load] = load / cop " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "rgba(70, 165, 121, 1.0)", "dash": "solid", "shape": "linear", "width": 1.3 }, "mode": "lines", "name": "None", "text": "", "type": "scatter", "x": [ 0, 0.01, 0.02, 0.03, 0.04, 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JgMtNGsod9qb9HpL+RlD7ucgHAQhAAAIQgAAEIAABCEAAAhDIJYDQuEf1UKnioFKf6x4NE2khAAEIQAACEIAABCAAAQhAoEIJIDTu0cBUqjio1Oe6R8NEWghAAAIQgAAEIAABCEAAAhCoUAIIjQodGB4LAhCAAAQgAAEIQAACEIAABCAAgeIEEBpUBwQgAAEIQAACEIAABCAAAQhAAAJVRwChUXVDxgNDAAIQgAAEIAABCEAAAhCAAAQggNCgBiAAAQhAAAIQgAAEIAABCEAAAhCoOgIIjaobMh4YAhCAAAQgAAEIQAACEIAABCAAAYQGNQABCEAAAhCAAAQgAAEIQAACEIBA1RFAaFTdkPHAEIAABCAAAQhAAAIQgAAEIAABCCA0qAEIQAACEIAABCAAAQhAAAIQgAAEqo4AQqPqhowHhgAEIAABCEAAAhCAAAQgAAEIQAChQQ1AAAIQgAAEIAABCEAAAhCAAAQgUHUEEBpVN2Q8MAQgAAEIQAACEIAABCAAAQhAAAIIDWoAAhCAAAQgAAEIQAACEIAABCAAgaojgNCouiHjgSEAAQhAAAIQgAAEIAABCEAAAhBAaFADEIAABCAAAQhAAAIQgAAEIAABCFQdAYRG1Q0ZDwwBCEAAAhCAAAQgAAEIQAACEIAAQoMagAAEIAABCEAAAhCAAAQgAAEIQKDqCCA0qm7IeGAIQAACEIAABCAAAQhAAAIQgAAEEBrUAAQgAAEIQAACEIAABCAAAQhAAAJVRwChUXVDxgNDAAIQgAAEIAABCEAAAhCAAAQggNCgBiAAAQhAAAIQgAAEIAABCEAAAhCoOgIIjaobMh4YAhCAAAQgAAEIQAACEIAABCAAAYQGNQABCEAAAhCAAAQgAAEIQAACEIBA1RFAaFTdkPHAEIAABCAAAQhAAAIQgAAEIAABCCA0qAEIQAACEIAABCAAAQhAAAIQgAAEqo4AQqPqhowHhgAEIAABCEAAAhCAAAQgAAEIQAChQQ1AAAIQgAAEIAABCEAAAhCAAAQgUHUEEBpVN2Q8MAQgAAEIQAACEIAABCAAAQhAAAIIDWoAAhCAAAQgAAEIQAACEIAABCAAgaojgNCouiHjgSEAAQhAAAIQgAAEIAABCEAAAhBAaFADEIAABCAAAQhAAAIQgAAEIAABCFQdAYRG1Q0ZDwwBCEAAAhCAAAQgAAEIQAACEIAAQoMagAAEIAABCEAAAhCAAAQgAAEIQKDqCCA0qm7IeGAIQAACEIAABCAAAQhAAAIQgAAEEBrUAAQgAAEIQAACEIAABCAAAQhAAAJVRwChUXVDxgNDAAIQgAAEIAABCEAAAhCAAAQggNCgBiAAAQhAAAIQgAAEIAABCEAAAhCoOgIIjaobMh4YAhCAAAQgAAEIQAACEIAABCAAAYQGNQABCEAAAhCAAAQgAAEIQAACEIBA1RFAaFTdkPHAEIAABCAAAQhAAAIQgAAEIAABCCA0qAEIQAACEIAABCAAAQhAAAIQgAAEqo4AQqPqhowHhgAEIAABCEAAAhCAAAQgAAEIQAChQQ1AAAIQgAAEIAABCEAAAhCAAAQgUHUEEBpVN2Q8MAQgAAEIQAACEIAABCAAAQhAAAIIDWoAAhCAAAQgAAEIQAACEIAABCAAgaojgNCouiHjgSEAAQhAAAIQgAAEIAABCEAAAhBAaFADEIAABCAAAQhAAAIQgAAEIAABCFQdAYRG1Q0ZDwwBCEAAAhCAAAQgAAEIQAACEIAAQiOgBiamF2x0X3dbQC+EuhCYnFmUns4WqampcQmjrSeB5Tursrkl0trc4NkDYa4EqHFXYmHt76ysyvqGSFsLNR5GMnn09OyidLS3SO0+PseTU/NvubK6Jqtrm9Le2ujfCZFOBGbmlqSttUnqavc5xdHYj8Dq2rrcWVmXjrYmvw6IciYwO78sLc0NUl9X6xxLAARiE0BoBBBFaATA8wxlsucJzjMMoeEJLiCMGg+A5xGK0PCAFhiC0AgE6BiO0HAEFqE5QiMCRIcuEBoOsCI1RWhEAkk3UQggNAIwIjQC4HmGMtnzBOcZhtDwBBcQRo0HwPMIRWh4QAsMQWgEAnQMR2g4AovQHKERAaJDFwgNB1iRmiI0IoGkmygEEBoBGBEaAfA8Q5nseYLzDENoeIILCKPGA+B5hCI0PKAFhiA0AgE6hiM0HIFFaI7QiADRoQuEhgOsSE0RGpFA0k0UAgiNAIwIjQB4nqFM9jzBeYYhNDzBBYRR4wHwPEIRGh7QAkMQGoEAHcMRGo7AIjRHaESA6NAFQsMBVqSmCI1IIOkmCgGERgBGhEYAPM9QJnue4DzDEBqe4ALCqPEAeB6hCA0PaIEhCI1AgI7hCA1HYBGaIzQiQHToAqHhACtSU4RGJJB0E4UAQiMAI0IjAJ5nKJM9T3CeYQgNT3ABYdR4ADyPUISGB7TAEIRGIEDHcISGI7AIzREaESA6dIHQcIAVqSlCIxJIuolCAKERgBGhEQDPM5TJnic4zzCEhie4gDBqPACeRyhCwwNaYAhCIxCgYzhCwxFYhOYIjQgQHbpAaDjAitQUoREJJN1EIYDQCMCI0AiA5xnKZM8TnGcYQsMTXEAYNR4AzyMUoeEBLTAEoREI0DEcoeEILEJzhEYEiA5dIDQcYEVqitCIBJJuohBAaARgRGgEwPMMZbLnCc4zDKHhCS4gjBoPgOcRitDwgBYYgtAIBOgYjtBwBBahOUIjAkSHLhAaDrAiNUVoRAJJN1EIIDQCMCI0AuB5hjLZ8wTnGYbQ8AQXEEaNB8DzCEVoeEALDEFoBAJ0DEdoOAKL0ByhEQGiQxcIDQdYkZoiNPxB3l6akZGFCbm1MCW3FiZlZGFS/vd/9df+HRIpCI2AIkBoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWoTlCIwJEhy4QGg6wIjVFaBQHObk8JyPzkzKymJEVo4tTMrI4JaMLU7K+uXFXYG9zh/Q1d8oX3/topJHZm90gNALGHaERAM8zlMmeJzjPMISGJ7iAMGo8AJ5HKELDA1pgCEIjEKBjOELDEViE5giNCBAdukBoOMCK1HQvC42ZlUUZmTcrLIy0MKsspqy4GFualuX11bsI9zV3SG9zp/S3dEhvU4f0NHdKb3O7lRiZr3VEGpG93Q1CI2D8ERoB8DxDmex5gvMMQ2h4ggsIo8YD4HmEIjQ8oAWGIDQCATqGIzQcgUVojtCIANGhC4SGA6xITXez0FhYW5abVlhMyS0rLCbt381WkfnVpbsIGiHR39IlvU1GUnRIb0unFReZlRcIi0jlVrYbhEZZRMUbIDQC4HmGMtnzBOcZhtDwBBcQRo0HwPMIRWh4QAsMQWgEAnQMR2g4AovQHKERAaJDFwgNB1iRmlaz0LizviI37dkV22dYLE7J2OK03F6clqk783cR6mlql4GWLulr6ZQes7Kiyayw6JA+u+Iis9qC170ngNAIGAOERgA8z1Ame57gPMMQGp7gAsKo8QB4HqEIDQ9ogSEIjUCAjuEIDUdgEZojNCJAdOgCoeEAK1LTShYaqxvrdguIXVlhzq8w20GWZ7alxcxdBLoa22SwtcuusjDywq62aG63qyz67H9ri0SMbtIkgNAIoIvQCIDnGcpkzxOcZxhCwxNcQBg1HgDPIxSh4QEtMAShEQjQMRyh4QgsQnOERgSIDl0gNBxgRWp6L4XG5taWPcMic9CmkRbTMrY0I7eXpmVscUbWNtd33mVnY4sMtHTvrLKw51lsbwUxKy2MxOBV/QQQGgFjiNAIgOcZymTPE5xnGELDE1xAGDUeAM8jFKHhAS0wBKERCNAxHKHhCCxCc4RGBIgOXSA0HGBFapq20MicX5HZFmK3gxhZsTRr/1xeW9l5F+0NLTLY0iWDrd3S32rOssieX2HOtOiSblZYRBrxyu4GoREwPgiNAHieoUz2PMF5hiE0PMEFhFHjAfA8QhEaHtACQxAagQAdwxEajsAiNEdoRIDo0AVCwwFWpKahQsOsqDDXmN5amrJnV5iVFVZYLE7L3OrizlO21TdbWTGwvS2k39wO0tIpfU3t9vYQhEWkAa3ybhAaAQOI0AiA5xnKZM8TnGcYQsMTXEAYNR4AzyMUoeEBLTAEoREI0DEcoeEILEJzhEYEiA5dIDQcYEVqWk5omMM17dkVi5mtIOaGkHGzLWRxWiaX53aeotUKiy67JWSgxVxv2r1zO4g5z6KrsTXSE9PNbiaA0AgYXYRGADzPUCZ7nuA8wxAanuACwqjxAHgeoQgND2iBIQiNQICO4QgNR2ARmiM0IkB06AKh4QArUtMbk5Myu7kgkytzGWlhVllkD95cmpGtrS2bqaW+aVtWdMngtrAwqy3sTSFNHdLFlpBII7K3u0FoBIw/QiMAnmcokz1PcJ5hCA1PcAFh1HgAPI9QhIYHtMAQhEYgQMdwhIYjsAjNERoRIDp0gdBwgJWw6eLasty220DM7SBmlYXZGjKzLS1mZGVjzfbUVN8og82Z1RVmlUW/2R6yvdrCbAlhhUVC4DQLIoDQCMCH0AiA5xnKZM8TnGcYQsMTXEAYNR4AzyMUoeEBLTAEoREI0DEcoeEILEJzhEYEiA5dIDQcYG03XVlfk7Hl7YM27RkW09urLDLnWCyu3ckIi7oG6d8WFpmtId32atNWaZbhrl7pb+1wT04EBCITQGgEAEVoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWoTlCIwJEhy4QGoVhmbMqRhczKytGl6ZkdPvwzduLUzKzkjl4s7G23gqKzAqL7dUVrd0y2GquN+2SziJnWJQ7Q8Nh+GgKgWACCI0AhAiNAHieoUz2PMF5hiE0PMEFhFHjAfA8QhEaHtACQxAagQAdwxEajsAiNEdoRIDo0MVeFRrmnIpbixlRYf9cmLR/txJjaUbWNtYtRbOywtwUMtTSK0P2etPM9hAjMHy3hCA0HAqUpqkTQGgEIEZoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWoTlCIwJEhy52s9Aw0mLESospe2uIvep0YcquuDB/mldDbb3sb+2R/W09VlSYPwdbe2Soxay06JZ9NTUONJM1RWgk40QrHQIIjQDOCI0AeJ6hTPY8wXmGITQ8wQWEUeMB8DxCERoe0AJDEBqBAB3DERqOwCI0R2hEgOjQRbULjc2tTRldmJaRxcmMrNj+M7v6wqBorKuXoZYeGW43qyyMvOiW/a29sr+tV3qb2h1oxWmK0IjDkV7iEEBoBHBEaATA8wxlsucJzjMMoeEJLiCMGg+A5xGK0PCAFhiC0AgE6BiO0HAEFqE5QiMCRIcuqkFobGxtyq35SbllV1ZktoWMLEzsnHFhpYVZadHWm1lt0d4j+1t6ZKitR4bb+qSnwq43RWg4FChNUyeA0AhAjNAIgOcZymTPE5xnGELDE1xAGDUeAM8jFKHhAS0wBKERCNAxHKHhCCxCc4RGBIgOXVSK0Fjf3LArLDLSYmpHYJhtIub6U/Myt4aYrSA7Ky3saguz0qJHeu7BSgsHzHc1RWj4kiMuDQIIjQCqCI0AeJ6hTPY8wXmGITQ8wQWEUeMB8DxCERoe0AJDEBqBAB3DERqOwCI0R2hEgOjQhabQMAdtZs6vmJZbC5ktIreWMmdbjC3N2qduNtLCiAq70qJX9rd076y06K6wlRYOmBEavrCIS50AQiMAMUIjAJ5nKJM9T3CeYQgNT3ABYdR4ADyPUISGB7TAEIRGIEDHcISGI7AIzREaESA6dBFbaKxuS4uReXNryLa8WJq0Ky4mlud2pEXmDIsee3PIcFv2bIte2S3SotQQsELDoUBpmjoBhEYAYoRGADzPUCZ7nuA8wxAanuACwqjxAHgeoQgND2iBIQiNQICO4QgNR2ARmiM0IkB06MJHaKxurNmrTkfMIZxmlcXOmRbTMrktLZrUO6vLAAAgAElEQVTqG+05FsPmPIvsiovt7SFdjW0OT7j7miI0dt+YVvM7QmgEjB5CIwCeZyiTPU9wnmEIDU9wAWHUeAA8j1CEhge0wBCERiBAx3CEhiOwCM0RGhEgOnRRTGjcWV/NrLAw155u3yKSkReTMrk8bzM01zfJ/lZzY0h2e4g5iNOsuOiTrsZWh6fYW00RGntrvCv93SI0AkYIoREAzzOUyZ4nOM8whIYnuIAwajwAnkcoQsMDWmAIQiMQoGM4QsMRWITmCI0IEBN2sby+Ktdnx+X67ITMrM3ZAzmNvDDnW0zdyUqLRhne2R5ibg0x20Qyh3EiLRKCzmuG0PDjRlQ6BBAaAVwRGgHwPEOZ7HmC8wxDaHiCCwijxgPgeYQiNDygBYYgNAIBOoYjNByBRWiO0IgAMaeLO2srVlSMzGdWW9gVF2aLyPyEzKws2pYtdY1WUFhZ0Za58tQeyNnaI52stIg7ICKC0IiOlA4DCCA0AuAhNALgeYYy2fME5xmG0PAEFxBGjQfA8whFaHhACwxBaAQCdAxHaDgCi9AcoeEOcXltRUYWM7eGZLaJZG8RmdyRFq31zZntIUZYmLMsWjMHcvY1dUnDVoN0tDW5JybCiwBCwwsbQSkRQGgEgEVoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWoTlCozDExbXlbVGROYjTCIzsgZyz2ystWu2ZFuYgzu1bQ6zAyMiLjiIrLXwOBY0wzHu6C4TGnh7+invzCI2AIUFoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWofleFhpWWmRvDTFbROyZFpltInM70qI5s8rCHsS5vT2kzZxt0SvtDS3OI4DQcEYWHIDQCEZIBxEJIDQCYCI0AuB5hjLZ8wTnGYbQ8AQXEEaNB8DzCEVoeEALDEFoBAJ0DEdoOAKL0Hy3C42FrLRYyGwRyR7EOTI/KfNrS5ag2R5iBIW5McSuuDB/twdxdktHQ9zbQxAaEYrWsQuEhiMwmqdKAKERgBehEQDPM5TJnic4zzCEhie4gDBqPACeRyhCwwNaYAhCIxCgYzhCwxFYhOa7QWiML83KbXOOxdKk3F6csassbi+Zcy2mxazCMK82c6ZF9jwLexBn985BnD4rLXzRIzR8yfnHITT82REZnwBCI4ApQiMAnmcokz1PcJ5hCA1PcAFh1HgAPI9QhIYHtMAQhEYgQMdwhIYjsAjNq0VomJUW1+fG5cbCuNycn5Qbc+PbB3JOyebWliXR29xhV1YMtnbJUEvmEM7B1m57xoURGpXwQmjojwJCQ585GYsTQGgEVAdCIwCeZyiTPU9wnmEIDU9wAWHUeAA8j1CEhge0wBCERiBAx3CEhiOwCM0rTWhMLM9ZWXF9YcJedXpjflyuz4/J7Epme0hPU7sc7OiTg219sr+tz0oLKzFauqS+ti4CkXS7QGiky7dQ7wgNfeZkRGikUgMIjVSwluyUyZ4uc4SGLm+TjRrXZY7Q0OVtsiE0dJkjNHR5m2z3SmjcnJ+w0sLIi5vbf95YmJA766sWgjnH4mB7nxxoN/KiPyMx2vukpa66rztFaOjXOEJDnzkZERqp1ABCIxWsCA19rEUzIjT0BwOhocscoaHLG6Ghzxuhoc88TaFh5IRZYXFzYVKuz4/bFRdZiWHeaf2+OispDnX0y4HWPjnQ8ebfa/ft04ehkBGhoQA5LwVCQ585GREaqdQAQiMVrAgNfawIjQpijtDQHQyEhi5vhIY+b4SGPvMYQmN2ZdGeb3FzMbPi4sb8hF11YQ7rNC9zfoWRFgfb++WAWXmx/XezTWSvvRAa+iOO0NBnTsY9JjTGJybliSe/IpNTM/adf/Kxj8p73v1I2Tr46je+I8PDQ/LhD35gp+35Vy/Kl77+lCwvZ050Nq/eni554vHPSU1to/33vu62sn3TIA4BJntxOCbthRUaSUnFa0eNx2OZpCeERhJKcduw5SQuz3K9ITTKEYr/dRehYW4QMYdyWmFhD+g0Z1xMyPxq5nyLvuYOKysOtfXbgziNwDjUPiCdjS3xH7xKe0Ro6A8cQkOfORmLE9h1h4IuLS3Jk1/+ljxw7owVE0ZIfPOp71mpcfa+0wVJ/PAnz8jTP33Wfu0v/+L9bxEaxeJZoaH/rcVkT5c5QkOXt8lGjesyR2jo8jbZEBq6zBEaurxNtnyhYW4MyRzEaW4TmbD/2L8vTMjqxrp9QHOuxaF2s+KiTw609WVWXLT1SVNdg/4bqLKMCA39AUNo6DMn4x4SGkZgfPf7P5IvfObj0t/XK/mCo1QxFFuhgdConG8hJnu6Y4HQ0OWN0NDnjdDQZ47Q0GWO0NDjvby2ItcXxuXi2E2ZWJ2TW2a1xcK4jCxM2YcwcsLKim15MWz/NP/er/eQuzATQkN/UBEa+szJuIeExnO/fF5+8OOn7ZYQIzTMy4gK8/rspz5WshaSbDnJbjcxfWdXaHR1sOxP65tsZn5ZutqaRGpqtFLu6TzmB+HNLZHmxvo9zUHzzVPjmrRFVlfXZH1TpKWJGtciP7ewLG2tTbKPz3EV5Gtr67K6vimtzfymPxbw6TsLcjO7TWRh0v795vy4TN1ZsCk6GlrlgNkeYm4Sae+TYSMx2vqkr6Uz1iPQTw6BtfV1WV3dkNaWzFZwXukTWFi8I01N9VJXW5t+sj2Qoa52dx7YqzV0u27LiREaz/7Tz+Txz39CWloyoiFEaOQPhOlranrW9r+0smm/TBFqlavIxsam7KvdJ+gMHeabxmaIyL59ENchTo1rcc7mMUvBZYsa1+RuP8f37cNLK0Gnxv1Bjy1Py8jilIwsTsitxSm5tTRh/315fcV22t/cKftbemR/a58Mt/bKUEuP/bO5NiPscHb+7F0izce4qfNaflZxwRbUdmNzixoPInh3ML8cD4O5K4VGzBUa+Xhzt7RwKGhY8flEs+XEh5p/DFtO/Nn5RlLjvuT84thy4sctJIotJyH03GPZclKa2drGur1J5PqcOYwzc67Fje2/b2xtyr6afXaVhVlhYc61MGdd2L+390tDbV3Bzl0OBXUfUSLyCbDlRL8m2HKiz5yMxQnsOqER+wwNhEZlffsw2dMdD4SGLm+TjRrXZY7Q0OVtsiE0dJkjNDK8F1aX5MbCpL0C1RzIOWL+Pj8uo4vT9uvN9Y32UE5zxoU51+KAkRetfXbriOsLoeFKLKw9QiOMn080QsOHGjFpEdh1QqPcLSfZa1gf/ciH3nKVa6EzNJ75h3+UkyeO7tyQkrt9hVtO0irL4v0y2dNljtDQ5Y3Q0OeN0NBnjtDQZb7XhMbE8tzOLSL2KlRz1sXcuMysLFrw3U1tdnVFdsWFOefCrLrobW6PNjAIjWgoE3WE0EiEKWojhEZUnHQWSGDXCQ3DY3xiUp548isyOTVj8ZgrW9/z7kfs3wsJjdxrW02b5uZm+btPP2YlhjmTw9xykn2dPH5s53wOhEZg9XmEIzQ8oAWEIDQC4HmGUuOe4DzDEBqe4ALCEBoB8DxCd6vQMFef3rDbQ8bl+sKEjJh/nx+X5fVVS2l/W0/mUM6OzBaRA/ZK1F5prW/2oOgWgtBw4xXaGqERStA9HqHhzoyI9AjsSqGRHq67e0ZoaJF+Mw+TPV3mCA1d3iYbNa7LHKGhy9tkQ2joMq9mobGysZY512J+wkoLIy+yZ1xsyZbU19bZbSGHjLQw20XsFaiZv9fW3LtbAxAaujWO0NDlbbIhNPSZk7E4AYRGQHUgNALgeYYy2fME5xmG0PAEFxBGjQfA8whFaHhACwxBaAQCdAyvBqGxuLYs1+bG5Ya5/nRuYufv40uz9t22NbTIwbZeeyhn5pyLXrviYqi125GGTnOEhg7nbBaEhi5vhIY+bzKWJoDQCKgQhEYAPM9QJnue4DzDEBqe4ALCqPEAeB6hCA0PaIEhCI1AgI7hlSQ0ltdW5Mrcbbk6d1uuz43JtXlzvsWEzKws7Lyro51DcqxrSI51DMmxziErMboaWx3f9b1tjtDQ5Y/Q0OWN0NDnTUaERmo1gNBIDW3Rjpns6TJHaOjyNtmocV3mCA1d3iYbQkOX+b0SGjcXJuXqbEZeXJkdtX+/vZQ528y8musaxMiL40ZedO638sL8+76aGl1AKWRDaKQAtUSXCA1d3ggNfd5kRGikVgMIjdTQIjT00RbMiNDQHwiEhi5zhIYub4SGPu+0hYbZLnLZiosxuTpzW67MjVqJsbqxvvNmzdkWxzoH5XD7oBwxf3YMVOx2kRgjhNCIQTF5HwiN5KxiteQMjVgk6ScGAbacBFBEaATA8wxlsucJzjMMoeEJLiCMGg+A5xGK0PCAFhjCCo1AgI7hMYWGOZTz8vaWEbPiwqy8MNekZl9ma8jRriE50jEoRzoG7J9GXtTtq3V86upujtDQHT+Ehi5vkw2hoc+cjMUJIDQCqgOhEQDPM5TJnic4zzCEhie4gDBqPACeRyhCwwNaYAhCIxCgY7iP0JhdWbRbRKy8sOLCrMAYlc2tLZu9obbOrrY42mXExba86ByQjobqOuvCEWXi5giNxKiiNERoRMHo1AlCwwkXjVMmgNAIAIzQCIDnGcpkzxOcZxhCwxNcQBg1HgDPIxSh4QEtMAShEQjQMbyU0DB64ur2+RbZlRdXZm7fdUjncFuPHOkckiPtA9vbRQbF/DdexQkgNHSrA6Ghy9tkQ2joMydjcQIIjYDqQGgEwPMMZbLnCc4zDKHhCS4gjBoPgOcRitDwgBYYgtAIBOgYnhUaa7VrdpWFWW1hV1xsH9iZ7c6srjjS2W8P5syuujjcMWhXY/ByI4DQcOMV2hqhEUrQPR6h4c6MiPQIIDQC2CI0AuB5hjLZ8wTnGYbQ8AQXEEaNB8DzCEVoeEALDEFoBAIsE76+ubEtLEbtFamXZ0bl2ty4zK8t2UhznsXh9gF71oU53+Lo9paRrqa2dB9sD/WO0NAdbISGLm+TDaGhz5yMxQkgNAKqA6ERAM8zlMmeJzjPMISGJ7iAMGo8AJ5HKELDA1pgCEIjEGBO+PjSrJUWZtuIXXkxd1tuzk/stBhq7ZaDbf1ysHVATvbtt/LC3DjCK10CCI10+eb3jtDQ5Y3Q0OdNxtIEEBoBFYLQCIDnGcpkzxOcZxhCwxNcQBg1HgDPIxSh4QEtMASh4Q5wZWNt+2DObXkxNybmrIul9Tu2s7b6Zjnaaa5E3T7nwlyP2jEgTXUN4nMoqPsTEpFLAKGhWw8IDV3eCA193mREaKRWAwiN1NAW7ZjJni5zhIYub5ONGtdljtDQ5W2yITRKM7+1MGVXWlzbPuPC/N38N/OqqamRI0ZWdA5kzrroHLC3jfQ2txftFKGhX+MIDV3mCA1d3ggNfd5kRGikVgMIjdTQIjT00RbMiNDQHwiEhi5zhIYub4TGm7zN6gqzyuLK3FjmppG5zGGdZjWGefW3dNrDOc3KC3M459HOATnUPuA8YAgNZ2TBAQiNYIROHSA0nHBFacwZGlEw0kkkAmw5CQCJ0AiA5xnKZM8TnGcYQsMTXEAYNR4AzyMUoeEBLTBkL67QMOdamJUWmdtFMod1mvMvzKulrimzVcRIi67BzIGdHYPSXN8YSDoTjtCIgtGpE4SGE67gxgiNYITOHSA0nJERkCIBhEYAXIRGADzPUCZ7nuA8wxAanuACwqjxAHgeoQgND2iBIbtZaMytLsq12fGMvMg5rNPcPGJeRlYc6cysujB/mn83KzHSfCE00qRbuG+Ehi5zhIYub5MNoaHPnIzFCSA0AqoDoREAzzOUyZ4nOM8whIYnuIAwajwAnkcoQsMDWmDIbhEaZovIVXOzyPY/V+dGZerOgqXT29xhD+U80jkkR+2fZtvIgNRITSA993CEhjuz0AiERihBt3iEhhuvGK0RGjEo0kcsAgiNAJIIjQB4nqFM9jzBeYYhNDzBBYRR4wHwPEIRGh7QAkOqTWjMry7JZXvWxahcMmddbG8b2RKR5roGe75FVl6YP81ZF631zYGU4oUjNOKxTNoTQiMpqTjtEBpxOLr0gtBwoUXbtAkgNAIIIzQC4HmGMtnzBOcZhtDwBBcQRo0HwPMIRWh4QAsMqWShcXtxRi7P3pLLc6NyZWZULs3ckonlOfuOD7T32bMtzO0ih82ZF+2DMtjaFUgj/XCERvqM8zMgNHSZIzR0eZtsCA195mQsTgChEVAdCI0AeJ6hTPY8wXmGITQ8wQWEUeMB8DxCERoe0AJDKkVomIM6jbB4Y2ZEXp+9ZW8cWVxblrp9tXK0Y0iOd+2XY12DcsxsG+kcksba+sB3fm/CERr63BEauswRGrq8ERr6vMlYmgBCI6BCEBoB8DxDmex5gvMMQ2h4ggsIo8YD4HmEIjQ8oAWG3AuhcWNuXN6YzciLN6ZvyaXZW3JnfdXeJHK8c0hOdA/LiU4jMIa8rkYNRJJqOEIjVbwFO0do6DJHaOjyRmjo8yYjQiO1GkBopIa2aMdM9nSZIzR0eZts1Lguc4SGLm+TLW2hcW1+TN6YGrHS4o2ZW3YVxsrGmrTWN8mJ7v1yvHO/nOgatiswhtt69QEoZ0RoKAMXEYSGLnOEhi5vhIY+bzIiNFKrAYRGamgRGvpoC2ZEaOgPBEJDlzlCQ5d3bKFxZTZzzoVdeTEzav80V6S21Tdn5EVXRl6Yf4Zau/XfbAVkRGjoDwJCQ5c5QkOXN0JDnzcZERqp1QBCIzW0CA19tAiNCmGO0NAdCISGLu8QoWFWXFya3l51YVZfTI/IxtamdDS22m0jJ7szqy6MvBhoqfzDOrXIIzS0SL+ZB6GhyxyhocsboaHPm4wIjdRqAKGRGlqEhj5ahEaFMEdo6A4EQkOXdxKhsbW1tb1dZEQuTWdWXRiZsbm1JV2NrZntIt3b20Y690t/S6f+m6iijAgN/cFCaOgyR2jo8kZo6PMmI0IjtRpAaKSGFqGhjxahUSHMERq6A4HQ0OWdLzQ2tzYz8mL6zS0jZguJeXU3te2cdZE9tLO3uUP/gas8I0JDfwARGrrMERq6vBEa+rzJiNBIrQYQGqmhRWjoo0VoVAhzhIbuQCA09Hibsy3MaouXRq/KyPKEXJ4dtf+YlxEV5pYRIy6y20aM0OAVTgChEc7QtQeEhiuxsPYIjTB+PtGz88vS0twg9XW1PuHEQCAqAa5tDcCJ0AiA5xnKZM8TnGcYh4J6ggsIo8YD4HmEIjQ8oCUIWduWF5krUs1VqSNydW4sIy+aOqy4OJmzdcRsJeGVDgGERjpcS/WK0NBljtDQ5W2yITT0mZOxOAGERkB1IDQC4HmGMtnzBOcZhtDwBBcQRo0HwPMIRWh4QMsLWVlfs9tGXt++ItXIi+vzGXlhDufMXpFqD+3sHJKNOyId7S1Su68mPDk9lCWA0CiLKHoDhEZ0pCU7RGjo8kZo6PMmY2kCCI2ACkFoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQcIO2vL6aOaRz+4pUIzJuzI3bTsy1qNkrUu22ke799vrU/Nf07CJCww17UGuERhA+r2CEhhc27yCEhjc670BWaHijIzAFAgiNAKgIjQB4nqFM9jzBeYYhNDzBBYRR4wHwPEIRGsWhLa+tyBtm1cX2oZ2vz4zIyMKkDRhu69056+K4Pftiv7TWNyUaAYRGIkzRGiE0oqFM3BFCIzGqKA0RGlEwOnWC0HDCReOUCSA0AgAjNALgeYYy2fME5xmG0PAEFxBGjQfA8whFaGSgLa4tyxs5V6SaVRi3FqYy8qK91668ONk5nDm0s3NImusbPWhnQhAa3ui8AhEaXtiCghAaQficgxEazsiCAxAawQjpICIBhEYATIRGADzPUCZ7nuA8wxAanuACwqjxAHgeoXtRaMyvLu1sGTHnXZgVGKOL05bewfa+bWmxX06YbSNdw9JU1+BBtngIQiMqzrKdITTKIoreAKERHWnJDhEaurxNNoSGPnMyFieA0AioDoRGADzPUCZ7nuA8wxAanuACwqjxAHgeobtdaMytLoq9aWTGHNqZkRdjizOW1OGOgTe3jXQN2VtHGmrrPSi6hSA03HiFtkZohBJ0j0douDMLiUBohNDzi0Vo+HEjKh0CCI0ArgiNAHieoUz2PMF5hiE0PMEFhFHjAfA8QneT0Ji+s7Bz3oURGGbbyMTynKVypGPQnnORObRzv5hzL+pr6zyIhYcgNMIZuvSA0HChFactQiMOx6S9IDSSkorXDqERjyU9hRMIEhrjE5PyxJNfkcmpzG97Sr16e7rkicc/J/19veWaVs3XERr6Q8VkT5c5QkOXt8lGjesyr1ahMbuyJK9N35DslhEjLyaX5y28Y51DO2ddZM682C91+2p1wZbIhtDQHQqEhi5vkw2hocscoaHL22RDaOgzJ2NxAkFCI7/br37jOzI8PCQf/uAHdr60tLQkT375W/L+971X3vPuR3bVWCA09IeTyZ4uc4SGLm+Ehj7vahAam1tbVl5cnLqZ+XP6htze3jZiVlxkr0g9YW4b6RqWmpoafZAOGREaDrAiNEVoRIDo2AVCwxFYYHOERiBAj3CEhgc0QlIjEE1omNUaX/zat+XRv/mQnL3v9F0P/Nwvn5dn/+ln8vjnPyEtLS2pvRntjhEa2sT57bU2cYSGNnFqXJt4JQoNc0DnxanrVlxcmLwpr8/ctFiGWrvlVM9BOd19UE73HLB/VuMLoaE7aggNXd4mG0JDlzlCQ5e3yYbQ0GdOxuIEVITG+Vcvyne//yP5wmc+zpYTqjGIACs0gvA5ByM0nJEFB1DjwQidOrjXQmN9c0NeNfJi8kbmz+kbMruyaK9FPd19QE5nBUb3AelobHV6b5XaGKGhOzIIDV3eCA193ggNfeYIDX3mZFQQGtmtJQ+cO3PXlhOT2qzQ+MGPn+YMDSoxmACTvWCETh0gNJxwRWlMjUfBmLgTbaFhVl+YbSOvTl6XC1M37MGd5nWoo1/O9ByyEuO+3kNyqH0g8XuotoYIDd0RQ2jo8kZo6PNGaOgzR2joMyejgtDIiovv/v2P5O8+/djOtpPswaF/9qd/8hbRUe0Dw5YT/RFksqfLHKGhy9tko8Z1macpNDa2NuXC1HW5MHkj8+fUdZkxqy/qGuzKCyMwjLw403NQWuqadN/4PcyG0NCFj9DQ5Y3Q0OeN0NBnjtDQZ05GJaFh0hS6+eSTj3101x0Iat4rQkP/W4vJni5zhIYub4SGPu+YQmNsacauvMicf2EO8MycfXGgvS8jL4zE6D0kh3fx6oskI4jQSEIpXhuERjyWSXviDI2kpOK0Q2jE4ejSC0LDhRZt0yYQ7QyNtB+0EvtHaOiPCkJDlzlCQ5c3QkOft6/Q2LSrL8zNI5nVF+b8i+k7C9KUXX3RnZEXRmK01jfrv7EKzojQ0B0chIYub5MNoaHLHKGhy9tkQ2joMydjcQIIjYDqQGgEwPMMRWh4gvMMQ2h4ggsIo8YD4HmEJhUa48uzcsGee5E5+yK7+mK4rdeuvjjTe1Du6zkkRzoGPZ5ib4UgNHTHG6Ghyxuhoc8boaHPHKGhz5yMSkLD3Gbypa8/JcvLy2/J2NvTVTGHgppDSr/51PfsMyZ9rkI3tSA09L+1mOzpMkdo6PI22ahxXeaFhMaWbG3LixuZq1Onrsvk8rw01tZnzr6wKy8yB3i2N+yeq8i1yCM0tEhn8iA0dHkjNPR5IzT0mSM09JmTUUFo5N5y8uC5++S//vRZ+ewn/lZaWlrkq9/4jjzyrndUxDkaRkwYmWHO9Th732n54U+ekZdeviCPf/4T9lnzX7lnguTLD4SG/rcWkz1d5ggNXd4IDX3eRmiMLc7J9eXb9uwLs/rC/GNeZvXFqR6z8iJzgOexziH9B9yFGREauoOK0NDljdDQ543Q0GeO0NBnTkYFoWEm/l/82rfl0b/5kM323e//SL7wmY9Lf1+vvbb12X/6WVFpoDlARmCMjIzKZz/1MZs2X3AUexZWaGiOUvFcCA3dcUBo6PJGaOjwzkoLIzBembwuU3fmpH5fnV19kbl1JHP2Basv0hkPhEY6XIv1itDQ5Y3Q0OeN0NBnjtDQZ05GZaFhJMbXv/2f5dMf/49WaBSSAfdqUMxqEfPKCo3sCoy/+nd/WXIFCULjXo3Y3XkRGrrjgNDQ5Y3QiM/bbBUxW0YyW0du2K0kZkvJUGu33TpyvGO/HG8/IA8MHY6fnB4LEkBo6BYGQkOXN0JDnzdCQ585QkOfORkVhEbulpMPf/ADdpvJ8PCQmL+X29ahOUC5z2XyxhAaNTU1mm9hT+fa2toSeGuWwNZ2Mmpcizo1Hkb68tyoXJq7Ka/Pjsil2RGZXJmT2ppaOdG5X453DMvJzmE50TEs7Q2t24mM3hCpEWo8jHzyaGo8Oas4LanxOByT95KpcdOez5Xk1EJaUuMh9HxiqXEfasVjeruyP5PE7Xev9JbaLSe5Z080NzfL3336MXtmxb1+pbFCgyLUG9Wp2SXp7mhGaighX76zJptbIq3N9UoZSUONJ68Bc01q9taRC9PX5eLUTTHXqQ62dsnp7sy2EbON5ETXcNFO76ysycaGSGsLNZ6cfFhLc6Vle1uz1O5jshdGMln0yuq6rK1tSltrQ7IAWgUTML+9bm1pkrpaajwYZoIOVtc2ZGVlXdrbGhO0pkkMAnMLd6S5qUHq6/bF6G7P98Eva8NKIDWhEfZY6UVzhkZ6bDV6ZsuJBuU3c7DlRJe3yUaNF2durkq9aP6Zui6vTl6XsaUZqa3ZZ7eOnDHyojtzdWpXU1vigUt6bWviDmlYlgBbTsoiitqALSdRcSbqzEi7tlYjNJjsJQIW2IgtJ4EAPcLZcuIBjZDUCEQXGrlXomaf2two8p53P5Lam3DpuNwtJ0Z4/PwXv3rLFbOcoeFCOb22TPbSY1uoZ4SGLm+Expu8Z1YWt7Xuyu0AACAASURBVFdfXJcLk5mrUze2NqW/pTNzZer2wZ0nuw8EDRJCIwifVzBCwwubdxBCwxuddyBCwxudVyBCwwtbUBBCIwgfwZEJRBUaRmb84MdP3yUDjAj40tefkn/z5++152lUwitXuuRfxZovNHK3zmSf/ZGH32EPFeXaVv3RRGjoMkdo6PLey0LjjZkRe2inWXnx2vQNGV2ctlvLMvIis/LC3D7S7bD6IsnoITSSUIrbBqERl2e53hAa5QjF/zpCIz7TUj0iNHR5m2wIDX3mZCxOIJrQyB4K+v73vfctqzEq6drWmMWA0IhJM1lfCI1knGK1QmjEIpm8n71Q47Mri/bWkVfN7SOTmT/XNzfs6gsjLczWEbuFpOdgcnCeLREanuACwhAaAfA8QhEaHtACQxAagQAdwxEajsAiNEdoRIBIF9EIRBMaZiXDF7/2bXn0bz70lsM/K+na1mjkRFihERNmwr72wmQvIQqVZggNFcx3JdmNNf76zE25MGnOv7hhz78wqy/My8iLzMGdh+w5GL1N7erAERrqyAWhocscoaHL22RDaOgyR2jo8jbZEBr6zMlYnEA0ocEKDcpMg8BunOxpcPPNgdDwJecfV+01fntxxooLs23E3Dpi/tzc2rKrL8zKi4y8OChnutNffZFkFBAaSSjFbYPQiMuzXG8IjXKE4n8doRGfaakeERq6vBEa+rzJWJpANKFh0hQ6ULMSz9CIVRRsOYlFMnk/1T7ZS/5OK6MlQkN/HKqtxi/N3JKXJq7KyxOX7cGdsytL0lhbL6d6DuxsHzndc0C6GpPfPKJJHaGhSTuTC6GhyxyhocvbZENo6DJHaOjyRmjo8yajotAwqSr9lpOYBYHQiEkzWV/VNtlL9q4qtxVCQ39sKr3GzdWpL09ckZcnrspLk1flztqKDLZ2y7m+o3Jfb+bq1CMdg/rgPDMiNDzBBYQhNALgeYQiNDygBYYgNAIBOoYjNByBRWjOlpMIEOkiGoGoKzSiPVWVdITQ0B+oSp/s6RNJNyNCI12+hXqvtBp/dfKalRcvT16VVyavyZ31Vdnf1iNn+47KA71H7J8DLZ36oCJlRGhEAunQDULDAVaEpgiNCBAdu0BoOAILbI7QCAToEY7Q8IBGSGoEEBoBaBEaAfA8Qyttsuf5NqomDKGhP1T3usazqy+MwDBXqK5urMlwW6+c6z0q5/qOyLn+o9LX3KEPJqWMCI2UwJboFqGhyxyhocvbZENo6DJHaOjyNtkQGvrMyVicAEIjoDoQGgHwPEPv9WTP87GrNgyhoT90mjW+ubW5s/ripYkrcnHyuqxtbsiB9j4rMB7oy6zA6G3Wv31EizxCQ4v0m3kQGrrMERq6vBEa+rwRGvrMERr6zMmYktAwV7U+8eRXZHJqpizj3p4ueeLxz0l/X2/ZttXSAKGhP1Kakz39d1d5GREa+mOSZo2vbaxnBMbUVXll4po9xHN9c0MOdwzIWbt95Ig80HdUupsq8wDPNEYDoZEG1dJ9IjR0mSM0dHkjNPR5IzT0mSM09JmTMSWhsdfBIjT0KyDNyZ7+u6n8jAgN/TGKWePmvAuzdcRIDHMWxsWpG7KxtSlHO4bk/r7DmS0kfUelq7FV/41WSEaEhv5AIDR0mSM0dHkjNPR5IzT0mSM09JmTEaGRSg0gNFLBWrLTmJM9/aevvowIDf0xC6nxpfU78vLENcluH7kwfUO2trbkRNewnOk5aOWF2UbSsYcFRv6IIjT0axyhocscoaHLG6Ghzxuhoc8coaHPnIzKQsNsRfni174tj/7Nh+Tsfad3LX+Ehv7Qhkz29J+2+jMiNPTH0KXG51eX5OXJa/LKxBW5MHXTbiExr1PdB3YEhlmF0d7Qov9GqiQjQkN/oBAauswRGrq8ERr6vBEa+swRGvrMyYjQSKUGEBqpYC3ZqctkT//pdl9GhIb+mJaq8ZmVRTG3kGS2j9yUi9M3ZF9NjZzuOSRneg7I/b3mDIwj0lrfrP/gVZoRoaE/cAgNXeYIDV3eCA193ggNfeYIDX3mZERopFIDCI1UsCI09LEWzYjQ0B+MXKExdWdBXpq4bG8fuTB9U16fvil1+2rldPdBOW0Ehj3E84i01DXpP+guyYjQ0B9IhIYuc4SGLm+Ehj5vhIY+c4SGPnMyIjRSqQGERipYERr6WBEaFcJ8fHlWnr92UW7eGbcHeL4xMyKNtfVyqsdsITkk9/Uckgd6j0hTfWOFPHH1PwZCQ38MERq6zBEaurwRGvq8ERr6zBEa+szJiNBIpQYQGqlgRWjoY0Vo3CPmo4vTO9tHLkxfl0szt6Sptj6zhaT3oJUY54zAqGu4R0+4+9MiNPTHGKGhyxyhocsboaHPG6Ghzxyhoc+cjMpCY68AR2jojzRnaOgyZ8tJXN43FyZ3to9cnLoul2dH7XkXZvvIaXuQ5yEZqu+Xoe4OqampiZuc3goSQGjoFwZCQ5c5QkOXN0JDnzdCQ585QkOfORlTFBr5N5oUuuHk/KsX5bvf/5F84TMfl/6+3l0zHggN/aFEaOgyR2iE8b45PyEXpm7Y20fMn1fnbtsbR7Lywlylen/vYamvrdtJRI2HMXeNRmi4Egtvj9AIZ+jSA0LDhVactjNzS9LW2iR1tfvidEgvJQkgNPQLBKGhz5yMCI1UagChkQrWkp0y2dNljtBw4319LnP2xYXpG3Jh8rpcmx+TrsZWu4UkKzHu6z1kD/Ys9qLG3ZiHtkZohBJ0j0douDMLiUBohNDzi0Vo+HHzjUJo+JLzj0No+LMjMj6BmsWlla2QblmhIdLX3RaCkFgHAkz2HGBFaIrQKA1xbGlGzk9clVcmr8srk9fk+vyY9DS1y+mezPkXZiuJOchzX03y39JR4xEK16ELhIYDrEhNERqRQCbsBqGREFTEZgiNiDATdIXQSAApchOERmSgdBdEAKERgI8VGgHwPEOZ7HmC8wxDaNwNbnntjpyfur4tMa5ZidHR0Cpn+w7LfT2H5Yy5jaT3kNSI//kX1LhnsXqGITQ8wQWEITQC4HmEIjQ8oAWGIDQCATqGIzQcgUVojtCIAJEuohFAaASgRGgEwPMMZbLnCc4zDKEh9uyLVyavWolxfvK6LK+vyP19h+Vsz2E523vE/t1crRrrRY3HIpmsH4RGMk4xWyE0YtIs3xdCozyj2C0QGrGJlu4PoaHL22RDaOgzJ2NxAgiNgOpAaATA8wxlsucJzjNsLwoNc5Xq+Ykr8vKkWYFxVW4tTMmRzkE525ORF2f7jkhvU7sn0fJh1Hh5RjFbIDRi0kzWF0IjGadYrRAasUgm7wehkZxVjJYIjRgU3fpAaLjxonW6BKIIjSee/IpMTs2UfNLeni554vHPcctJuuO563tnsqc7xHtBaCyZbSST1+S8XYVxzd5IYg7yPNd31MqLc31H5EjHoBp4alwNtU2E0NDlbbIhNHSZIzR0eZtsCA1d5ggNXd4mG0JDnzkZixMIFhp7GS4rNPRHn8meLvPdKjQuTt+QVyauycsTV6zMWF5flft7D8m5/qNyrueIFRmlbiJJcxSo8TTpvrVvhIYub4SGPm+Ehj5zhIYuc4SGLm+Ehj5vMpYmgNAIqBCERgA8z1Ame57gPMN2i9Aw20bsORhT1+WViasysjAph9oHtldgZM7C6G3u8KQUN4waj8uzXG8IjXKE4n+dFRrxmZbqEaGhy9tkQ2joMkdo6PJGaOjzJiNCI7UaQGikhrZox0z2dJlXq9BYXluR81NmBUbmME+zjSR7G8nZvqNyrvewHO/arwszYTZqPCGoSM0QGpFAOnSD0HCAFaEpQiMCRMcuEBqOwAKbIzQCAXqEs+XEAxohqRFghUYAWoRGADzPUCZ7nuA8w6pJaLw2fTNzE8nEVXug5+Lasl2BcX/vYXmg76jc33NYGuvi3UbiibRsGDVeFlHUBgiNqDgTdYbQSIQpWiOERjSUiTtCaCRGFaUhQiMKRqdOEBpOuGicMgGERgBghEYAPM9QJnue4DzDKllomNtIzPYRsxLDbCe5OT8pw+29cq73qJztPWwP9exv6fR85/cujBrXZY/Q0OVtsiE0dJkjNHR5m2wIDV3mCA1d3iYbQkOfORmLE0BoBFQHQiMAnmcokz1PcJ5hlSQ07qytyMtT27eRjF+VV6euS1tDi5UXGYFxRE52H/B8p5UTRo3rjgVCQ5c3QkOfN0JDnzlCQ5c5QkOXN0JDnzcZSxNAaARUCEIjAJ5nKJM9T3CeYfdaaLyWvY3EXqt6TRZWl+RMz6HMYZ7bEqOprtHz3VVmGDWuOy4IDV3eCA193ggNfeYIDV3mCA1d3ggNfd5kRGikVgMIjdTQFu2YyZ4uc22hcXtxJnMbyWTmSlVzG8n+th65v9cIjMx1qkOt3boQlLNR47rAERq6vBEa+rwRGvrMERq6zBEaurwRGvq8yYjQSK0GEBqpoUVo6KMtmDFtobG8viqvbMsL86f5p7m+MSMvjMToPyKnuw9WCA2dx0Bo6HDOZkFo6PJGaOjzRmjoM0do6DJHaOjyRmjo8yYjQiO1GkBopIYWoaGPVk1o2NtIjLwwB3pOXpP51SU51X3A3kZyrj9zpWprfXOFENB/DISGLnOEhi5vhIY+b4SGPnOEhi5zhIYub4SGPm8yIjRSqwGERmpoERr6aFMTGmNLM1ZemKtUX568IiPzkzLQ0iVn+47K2b5D9laS4bbeCnnH9/4xEBq6Y4DQ0OWN0NDnjdDQZ47Q0GWO0NDljdDQ501GhEZqNYDQSA0tQkMfbTShccdsI5nKnIHxysR1OT95VZrqGuT+nswKjPt7D9ntJLwKE0Bo6FYGQkOXN0JDnzdCQ585QkOXOUJDlzdCQ583GREaqdUAQiM1tAgNfbRBQuP1mRE5P2HOwLgqL49flfm1JTneud+egWEO9Hyg74i0N7RUyLuq7MdAaOiOD0JDlzdCQ583QkOfOUJDlzlCQ5c3QkOfNxkRGqnVAEIjNbQIDX20TkJjfGnWrrww8uL81FW5OT8hfc0dcr+5TrXviJztOSKHOvor5F1U12MgNHTHC6Ghyxuhoc8boaHPHKGhyxyhocsboaHPm4wIjdRqAKGRGlqEhj7akkKjrqFGzttzMK7am0jM3+v31cnZ/sNWXpjrVM3NJDU1NRXy5NX7GAgN3bFDaOjyRmjo80Zo6DNHaOgyR2jo8kZo6PMmI0IjtRpAaKSGFqGhj/YtGa/O3ZbfjLwur05dk1enr9vbSI52DsnZ3sNWYJhzMLqb2irgSXfXIyA0dMcToaHLG6Ghzxuhoc8coaHLHKGhyxuhoc+bjAiN1GoAoZEaWoSGPlrZ3NqUF8evyAvjl+TF8ctirlftbGi1Z2C8beCYnOs7LEc6Bu/Bk+2tlAgN3fFGaOjyRmjo80Zo6DNHaOgyR2jo8kZo6PMmI0IjtRpAaKSGFqGhhHZyeV5eGr8kL0xcthLDnI1hVmE82H9M3tZ/TE51HJC6mnppbW5QeiLSIDR0awChocsboaHPG6GhzxyhocscoaHLG6Ghz5uMCI3UagChkRpahEaKaK/MjcoLty/L78fekBcnLttMb+s7Jg8OHJMH+o/Jya7hnezLd1Zlc0sQGimOR37XCA1F2CKC0NDljdDQ543Q0GeO0NBljtDQ5Y3Q0OdNRoRGajWA0EgNLUIjMtqXxq/IH8bfkD+MXbJbSXqa2uXBgRPydrsS47j0NrcXzIjQiDwQCbpDaCSAFLEJQiMizIRdTc8uSkd7i9Tu4xDhhMiCmiE0gvB5BSM0vLB5ByE0vNF5B87OL0tLc4PU19V690EgBGIRqFlcWtmK1Vml9DM+MSlPPPkVmZyasY/0ycc+Ku959yNFH69U+/OvXpQvff0pWV5e3onv7emSJx7/nNTUNtr/1tfNwYhaY89kLxnppfU7Vl78YeyyvDD2htxanJLDHQPy9oHj8mB/5p+G2rqynSE0yiKK3oAaj460ZIcIDV3eJhtCQ5c5QkOXt8mG0NBljtDQ5W2yITT0mZOxOIFdJzSWlpbkyS9/Sx44d0Y+/MEPiBES33zqe1ZqnL3v9FtIlGtfKp4VGvrfWkz2ijO/vTRj5UVGZFyShbVlOdd31G4nefvAMbmv97DzgCE0nJEFB1DjwQidOkBoOOGK0hihEQVj4k4QGolRRWuI0IiGMlFHCI1EmKI2QmhExUlngQR2ndAwAuK73/+RfOEzH5f+vl7JFxb5vMq1R2gEVljkcCZ7dwN9Y2ZEXhi7JL83B3uOXZLmuobMCoyB4/L2/uNyoL0vaAQQGkH4vIKpcS9s3kEIDW903oEIDW90XoEIDS9sQUEIjSB8zsEIDWdkwQEIjWCEdBCRwK4TGs/98nn5wY+ftltCjNAwr69+4zv2z89+6mNvQVeuff6Wk+x2E9M3KzQiVmLCrvb6ZM/sDzPiwp6HcfuSXJq9Jf0tnZnzMOzBnsels7E1Ic3yzRAa5RnFbrHXazw2z3L9ITTKEYr/dYRGfKalekRo6PI22RAauswRGrq8TTaEhj5zMhYnsCuFxrP/9DN5/POfkJaWlkRCw6W9kSNT07O2/6WVTdt/Qz0H4mh9k62tb+y5A4gW1pfl5Ykrcn7qirw0eVUm7szK4fYBOddzVM71HJGzvUeltmZfKkOwubklRqJweF8qeAt2uhdrXI/uWzNR4/r0TY3X1dUKR4LqsN/c2pKtzS2prU3n/xM676K6sqxvbEhtLTWuNWqmxs1neR01roVc1jc27c+GNTV8kseA3tHWHKObPdvHrhQaMVdo5FdG7haV7KGgFKHe98/cwh1pb23c9R+g5hDPlyYuywvjl+zVqsvrK/JAr7lW1ZyJcfyuq1XTpG9+s7e1JdLUWJ9mGvrOIbBXarxSBn11bU02NkSam6hxrTFZWLwjLc2Nso9bTlSQr62ty9rGlrRQ4yq8TZKFxRX7mYJE0kG+vr4hq2sb9tYNXjoEFpdWpLGxHokUCTe/HA8DueuERrkzMUoJCtczN7jlJKz4fKJ383L8i9M3MudhjF2yKzJa65vsrSRv6z8mb+8/IfvbenyQBcWw5SQIn1fwbq5xLyApB7HlJGXABbpny4kuc7ac6PI22dhyosucLSe6vE02tpzoMydjcQK7TmgkubXEXMP66Ec+ZK9yLdf+mX/4Rzl54ujODSm553Fwhob+t9ZumuxtbG3a20jMzSRGYlyduy1Drd3yYP8JedBIjMHj0lZ/b5egITSocX0CuhkRGrq8TTaEhi5zhIYub4SGPm+Ehj5zhIY+czLuIaFh3ur4xKQ88eRXZHJqxr5zc2WrkRfmlT3kMys0yrU3h4aaa1+zr5PHj+2cz4HQ0P/WqnahMbOymLladTxzterk8pzdPvLg4HF5e1/mdpJKeiE09Eej2mtcn1hYRoRGGD+faISGDzX/GISGPzvfSFZo+JLzi0No+HELiUJohNAjNjaBXbdCIzagUv0hNDRpZ3JV42TvxvyEFRgv3M6IjNXNdbuV5MG+4/bP41379UEmzIjQSAgqYrNqrPGIb1+9K4SGOnJWaCgjR2goA2fLiTpwhIY6crac6CMnYwkCCI2A8kBoBMDzDK2Wyd4rk9e2r1e9JObvHQ2t8vaBY5nzMAZOyEBLlycB3TCEhi7vapV2+pTiZURoxGOZtCdWaCQlFacdQiMOR5deWKHhQiu8LUIjnKFrD6zQcCVG+zQJIDQC6CI0AuB5hlaq0FjdWJM/jF/OnIcxfkluzI3LgfZeex6GkRjv6D8uzfWNnu/63oUhNPTZV2qN65PQyYjQ0OGcmwWhocscoaHL22RDaOgyR2jo8jbZEBr6zMlYnABCI6A6EBoB8DxDK2myN3VnXv5gzsMYM+dhvCHmfIwzPYfkwYFjdjuJuWK12l8IDf0RrKQa13/3+hkRGvrMERq6zBEaurwRGvq8ERr6zBEa+szJiNBIpQYQGqlgLdnpvZ7sXZ0b27mZxJyHYV5v7zdXqx6XdwwelyMdg/pQUsyI0EgRbpGu73WN67/je5sRoaHPH6GhyxyhocsboaHPG6Ghzxyhoc+cjAiNVGoAoZEK1ooTGi9NXJEXzKGeY5fkwtQN6Wpqs+dgPNh31P7Z29yhD0IpI0JDCXROGoSGLnOEhi5vkw2hocscoaHLG6Ghzxuhoc8coaHPnIwIjVRqAKGRCtZ7LjQW1pblhbHL8qI5E2P8kowsTMqhjv6dlRhmRUZjXb3+m78HGREa+tARGrrMERq6vBEa+rwRGvrMOUNDlzlCQ5e3yYbQ0GdORoRGKjWA0EgF6z0RGuYQzxcmtiXG2GVZWr8j5/qOygN9R+TBgeNytveI/putgIwIDf1BQGjoMkdo6PJGaOjzRmjoM0do6DJHaOjyRmjo8yZjaQIcChpQIQiNAHieoTEne5kVGBmJcWHqur1a9cGBo/JA/zF5W99xGW7r8XzK3ROG0NAfy5g1rv/01ZcRoaE/Zmw50WWO0NDlbbIhNHSZIzR0eSM09HmTEaGRWg0gNFJDW7Tj0Mne78bekN+Nvia/uf2a3UpyuGNAHjQCo/+4PNh/VJrqqu9q1TRHAaGRJt3CfYfWuP4TV3dGhIb++CE0dJkjNHR5IzT0eSM09Jmz5USfORmLE2CFRkB1IDQC4HmG+kz2zGGevx17TX49+prcnJ+Qk90H5OGhU/LQ4Ek53X3Q80n2RhhCQ3+cfWpc/yl3T0aEhv5YIjR0mSM0dHkjNPR5IzT0mSM09JmTEaGRSg0gNFLBWrLTpJO9l8avyK9vX5Tfjr4u1+fH5HjXfisxHh48JWd6Duk/eJVmRGjoD1zSGtd/st2ZEaGhP64IDV3mCA1d3ggNfd4IDX3mCA195mREaKRSAwiNVLB6C42XJ67YrSRGYlyduy1HO4bk4f0ZiXF/72H9h90FGREa+oOI0NBljtDQ5W2yITR0mSM0dHkjNPR5IzT0mSM09JmTEaGRSg0gNFLB6iQ0Xpm8ZiXG726/Lpdmbsnh9gErMR4aPCUP9B3Vf8BdlhGhoT+gCA1d5ggNXd4IDX3eCA195hwKqsscoaHL22RDaOgzJyNCI5UaQGikgrWs0BjfmJbfjb0mv739urw+fVMOtvfJQ0On5F2Dp+Vt/cf0H2oXZ0Ro6A8uQkOXOUJDlzdCQ583QkOfOUJDlzlCQ5c3QkOfNxlLE+BQ0IAKQWgEwHMMNeLiN6OvyfO3Lsil2Vsy3Na7fSbGaXn7wHHH3mielABCIympeO0QGvFYJukJoZGEUtw2bDmJy7NcbwiNcoTifx2hEZ9pqR4RGrq8ERr6vMmI0EitBhAaqaG1HZstJEZimC0lF6auy1Brt5zrOib/6sj9dksJr/QJIDTSZ5yfAaGhyxyhocvbZENo6DJHaOjyNtkQGrrMERq6vBEa+rzJiNBIrQYQGvHRXpkbld/cykgMcz7GQEuXPDx4eudcjKmZRenpbJGampr4yenxLQQQGvpFgdDQZY7Q0OWN0NDnjdDQZ47Q0GWO0NDljdDQ501GhEZqNYDQiIP22vyYlRi/vf2avDRxRfqaO6zEeGj7hpLamn07iZjsxWGetBeERlJS8dpR4/FYJukJoZGEUtw2rNCIy7NcbwiNcoTifx2hEZ9pqR4RGrq8ERr6vMmI0EitBhAa/mhvzE/Ib0dfk1/fvigvjl+W3uZ2eefAqcy5GEOnpH5fXcHOmez5M/eJRGj4UAuLocbD+LlGIzRciYW3R2iEM3TpAaHhQitOW4RGHI5Je0FoJCUVrx23nMRjSU/hBDgUNIAhQsMN3sjC5PaZGBflD2OXpLupTd45eEoeNv8MnZLG2vqyHTLZK4soagOERlSciTqjxhNhitYIoRENZeKOEBqJUUVpiNCIgtGpE4SGE67gxgiNYITOHSA0nJERkCIBhEYAXIRGeXiji9P2PIzf3Loovxt7XToaW+WhwZNWYrxr6JQ01TWW7ySnBZM9J1zBjREawQidO6DGnZEFBSA0gvB5BSM0vLB5ByE0vNF5ByI0vNF5BSI0vLAFBSE0gvARHJkAQiMAKEKjMLyxpRn5ze2LO+ditDa0WInxrsFT8tDQKWmtb/KmzmTPG51XIELDC1tQEDUehM85GKHhjCw4AKERjNCpA4SGE64ojREaUTAm7gShkRhVtIYIjWgo6SgCAYRGAESExpvwJpbnrMT47fYNJY21DfLw0El7varZTtLe0BJA+s1QJntRMCbuBKGRGFW0htR4NJSJOkJoJMIUtRFCIyrOsp0hNMoiit4AoREdackOERq6vE02hIY+czIWJ4DQCKiOvS40Jpfn5Xdjr2XOxRh9Ter27bMrMTIS47R0NrYG0C0cymQvOtKSHSI0dHmbbNS4LnOEhi5vkw2hocscoaHL22RDaOgyR2jo8kZo6PMmY2kCCI2ACtmLQmP6zoL8zpyJYf4Zfc3SM9tIHho4aSWGOegzzReTvTTpvrVvhIYub4SGPm+Ehj5zhIYuc4SGLm+Ehj5vhIY+c1Zo6DMnY3ECCI2A6tgrQmNuZVF+e/t1KzF+PfqarG+u20M9Hxoyh3uelt7mjgCKbqEIDTdeoa0RGqEE3eOpcXdmIREIjRB6frEIDT9uvlEIDV9y/nGs0PBn5xOJ0PChFhaD0AjjR3RcAgiNAJ67WWjcWVuR50cvyK9vvya/HX1NltdXdyTGQ4OnZaClM4CcfyiTPX92PpEIDR9qYTHUeBg/12iEhiux8PYIjXCGLj0gNFxoxWmL0IjDMWkvCI2kpOK1Q2jEY0lP4QQQGgEMd6PQeGn8ivzq1nn51cirMrk8ty0xTtlzMYZauwNoxQllsheHY9JeEBpJScVrR43HY5mkJ4RGEkpx2yA04vIs1xtCoxyh+F9HaMRnWqpHhIYub5MNoaHPnIzFCSA0AqpjtwiNWwtT8i+3XpVfjbwiF6auy7m+I/JH+++Tdw2dlgNtvQGE4ocy2YvP5Fxr6wAAGXhJREFUtFSPCA1d3iYbNa7LHKGhy9tkQ2joMkdo6PI22RAauswRGrq8ERr6vMlYmgBCI6BCqllorG2u21UY/zKSWY1xvGu/FRjmH/P3Sn0x2dMdGYSGLm+Ehj5vhIY+c4SGLnOEhi5vhIY+b4SGPnNWaOgzJ2NxAgiNgOqoRqFxfuKqPL+9GqO+tl7eNXTKSoxzfUcDSOiFIjT0WJtMCA1d3ggNfd4IDX3mCA1d5ggNXd4IDX3eCA195ggNfeZkRGikUgPVIjRGF6flX0ZekedvXZDr8+PyJ8P3yx8P32fPx6i2F0JDd8QQGrq8ERr6vBEa+swRGrrMERq6vBEa+rwRGvrMERr6zMmI0EilBipZaKxurNtzMYzI+NWtV+Qd/SfkTw7cL4/sPyMdDa2p8NDoFKGhQfnNHAgNXd4IDX3eCA195ggNXeYIDV3eCA193ggNfeYIDX3mZERopFIDlSg0Xp64YreU/HLkFWmrb5Y/3n+fFRlHOgZTYaDdKUJDlzhCQ5c3QkOfN0JDnzlCQ5c5QkOXN0JDnzdCQ585QkOfORkRGqnUQKUIjeyWErMiY3RxSv5o6D754+Ez9qrV3fZCaOiOKEJDlzdCQ583QkOfOUJDlzlCQ5c3QkOfN0JDnzlCQ585GREaqdTAvRQaKxtrdiXGv4y8Kv/z5nl5eOiUXY1hzsZob2hJ5f1WQqcIDd1RQGjo8kZo6PNGaOgzR2joMkdo6PJGaOjzRmjoM0do6DMnI0IjlRq4F0Ljpe0tJc/deEl6mzrkj6zEOLNrtpSUGyiERjlCcb+O0IjLM0lv1HgSSvHaIDTisUzaE0IjKak47RAacTi69DIztyRtrU1SV7vPJYy2ngQQGp7gAsIQGgHwCI1OgGtbA5BqCY1bi1P2cM9f3HhZZlcX5aGBU3YlxjsHTwY8fXWGMtnTHTeEhi5vk40a12WO0NDlbbIhNHSZIzR0eZtsCA1d5ggNXd4mG0JDnzkZixNAaARUR5pCI7ulxEiM3429Lu8cOCl/NHTaioy2XbylpNxwMNkrRyju1xEacXkm6Y0aT0IpXhuERjyWSXtCaCQlFacdQiMOR5deEBoutMLbIjTCGbr2gNBwJUb7NAkgNALopiE0Xh6/Iv9z5Lz88/UX5WBHvzw0cNJKjMMdAwFPuntCmezpjiVCQ5e3yUaN6zJHaOjyNtkQGrrMERq6vE02hIYuc4SGLm+TDaGhz5yMxQkgNAKqI5bQuDk/abeU/PONF2VlY1UeGjxpz8Z4x8CJgKfbnaFM9nTHFaGhyxuhoc8boaHPHKGhyxyhocsboaHPG6Ghzxyhoc+cjAiNVGogRGjcWV+1N5T88/UX5Pz0dXl44KQVGX984H5prWtK5Xl3Q6cIDd1RRGjo8kZo6PNGaOgzR2joMkdo6PJGaOjzRmjoM0do6DMnI0IjlRrwERovjV+xKzGeu/mSnOjcbw/2/KP9p+VQO1tKkgwSQiMJpXhtEBrxWCbtiRpPSipOO4RGHI4uvSA0XGiFt0VohDN07YEtJ67EwtojNML4+UQjNHyoEZMWAbacJCD7w588I0//9Fnb8uTxY/L45z8hLS0tklRojMxPyHM3X5af3XhB9tXss+diPDR4St4+cDxBdprkEmCyp1sPCA1d3iYbNa7LHKGhy9tkQ2joMkdo6PI22RAauswRGrq8TTaEhj5zMhYngNAoUx3P/fJ5+cGPn5YnHv+c9Pf1yle/8R0b8dlPfayk0FheX5Vf3HhJfn7zRbk0PSrvHDppRcYjw2ekhS0l3t+TTPa80XkFIjS8sAUFUeNB+JyDERrOyIIDEBrBCJ06QGg44YrSGKERBWPiThAaiVFFa4jQiIaSjiIQQGiUgWgExvDwkHz4gx+wLXMFR01to/1vfd1tO738buwN+fmNF+Xn11+Us31H7NkY7xw8JYc6+iMMF10w2dOtAYSGLm+TjRrXZY7Q0OVtsiE0dJkjNHR5m2wIDV3mCA1d3iYbQkOfORmLE0BolKiOpaUlefLL35IHzp3ZERrnX70o33zqe/LJxz4qA4PDNnq5bkl+dv1Fee7GS9JU2yAP2dUYp+SB/qPUXmQCTPYiAy3THUJDlzdCQ583QkOfOUJDlzlCQ5c3QkOfN0JDnzlCQ585GREaXjWQFRrvf9975T3vfsT2kS80/o/f/UDG78zIA93H5FzPUXlbz3FpqmvwykcQBCAAAQhAAAIQgAAEIAABCOwdArmr/ffOu473TlmhUYJlkhUa/+/N38m5nmMy2NwVb1ToCQIQgAAEIAABCEAAAhCAAAR2PQGERtgQIzTK8HM9QyNsOIguR4AtJ+UIxf06W07i8kzSGzWehFK8Nmw5iccyaU9sOUlKKk47tpzE4ejSC2douNAKb8uWk3CGrj2w5cSVGO3TJIDQKEPX95aTNAdtL/fNZE939BEaurxNNmpclzlCQ5e3yYbQ0GWO0NDlbbIhNHSZIzR0eZtsCA195mQsTgChkaA6fviTZ+Tpnz5rW548fkwe//wnpKWlpeS1rQm6pYkHASZ7HtACQhAaAfA8Q6lxT3CeYQgNT3ABYQiNAHgeoQgND2iBIQiNQICO4QgNR2ARmiM0IkCki2gEEBoBKCemF2w0+54CIDqGMtlzBBbYHKERCNAjnBr3gBYQgtAIgOcZitDwBOcZhtDwBBcQhtAIgOcRitDwgBYYgtAIBEh4VAIIjQCcCI0AeJ6hTPY8wXmGITQ8wQWEUeMB8DxCERoe0AJDEBqBAB3DERqOwCI0R2hEgOjQBULDAVakpgiNSCDpJgoBhEYARoRGADzPUCZ7nuA8wxAanuACwqjxAHgeoQgND2iBIQiNQICO4QgNR2ARmiM0IkB06AKh4QArUlOERiSQdBOFAEIjACNCIwCeZyiTPU9wnmEIDU9wAWHUeAA8j1CEhge0wBCERiBAx3CEhiOwCM0RGhEgOnSB0HCAFakpQiMSSLqJQgChEYARoREAzzOUyZ4nOM8whIYnuIAwajwAnkcoQsMDWmAIQiMQoGM4QsMRWITmCI0IEB26QGg4wIrUFKERCSTdRCGA0AjAiNAIgOcZymTPE5xnGELDE1xAGDUeAM8jFKHhAS0wBKERCNAxHKHhCCxCc4RGBIgOXSA0HGBFaorQiASSbqIQQGgEYERoBMDzDGWy5wnOMwyh4QkuIIwaD4DnEYrQ8IAWGILQCAToGI7QcAQWoTlCIwJEhy4QGg6wIjVFaEQCSTdRCCA0omCkEwhAAAIQgAAEIAABCEAAAhCAAAQ0CSA0NGmTCwIQgAAEIAABCEAAAhCAAAQgAIEoBBAaUTDSCQQgAAEIQAACEIAABCAAAQhAAAKaBBAamrTJBQEIQAACEIAABCAAAQhAAAIQgEAUAggNT4w//Mkz8vRPn7XRJ48fk8c//wlpaWnx7I2wLIHxiUl54smvyOTUjP1Pn3zso/Kedz9SFtBXv/EdGR4ekg9/8ANl29LgbgIutfzcL5+Xbz71vZ0OqH33anKtcVPbz//m9zuJkn5PuD/Z7o1wqfFcCtl6h7lbbYTWuMn2l3/xfj7PHbC71vjS0pI8+eVvyeuXLtss8HaALSIuNX7+1Yvypa8/JcvLy3cl4f+fbsxzf/7o7emSJx7/nPT39RbtJPd7orm5Wf7u04/J2ftOuyXdw61dPyPyvyf4TNnDxXMP3jpCwwO6+VD9wY+f3vkwNRMO8/rspz7m0RshWQLZD88Hzp2xP8iaHwLM5NlMJor9Tyj3f1h8eLrXkmstG94Hh4esZMqOV093J7WfEL1rjZsfEL7/g5/If3r0r60wTfI9kfBR9kwz1xrPgsn94RmhkbxcXGvc9Mz/Q5PzLdTStcbzxygs+96L9qnxfEr8EsatbvL/32d+Fnnp5QtFf5mY/z2R/+9u2fdm69zP5ays+Kt/95cFf8lY6HvCSLxHP/KhRL+U3JuEedcxCSA0PGjm/4+ID0oPiAVCzP+wvvv9H8kXPvNxa91dfujihwO/MQit5XI/VPg91e6NCqlxQ6XcDxW7l5z/O/Op8ew4/e1HPizffOq/SLEf4vyfavdG+tQ4QiOsHlxr3Hxuj4yMIqI9sfvUeG6q/HjPx9hTYfk1W07u5/9sUq79noKZ4M2anzW++LVvy6N/86GdXyiW+pwuNA/icz0BaJpEI4DQcERZaJLNB6UjxCLNQz4QERruYxCjlvkflhv3kBo3mUz8d//+RyydTYjdp8ZzP8+NWDVb4BAaCYFv12juCkYTWe5zIn9bFavtkvP2qfF83izHT847+znsWuO5Gfh5xY13oc+QcnI/+/Xurm67iuOZ//u/I/EcsBea15T6BVahn234hZcDcJoGE0BoOCLM/vDw/ve9d2cZFULDEWIJofHsP/3sriWE5X4QznbFDwjuYxBay6xMcmdumPnUeO4ebLY/JOfuWuP5v5Uq90Nz8ifZOy19azxLKFvrLFVOVjOuNV6ovZl4/PwXvyp7JkGyJ9r9rUJqnNUZfvWR/zNeks9mE3Pz1qjcHBkVpJ0b90J1WkpQFBoPhIYbc1qHEUBoOPLz+W2IY4o92zzkt9cIDfeyCallVgq4847xm70kP8T5PdnujHKt8WKH9xk6iKRkNRLyOY6gTsY4t5VrjRcSGnyuuHH3rXGXbbRuT7T7W+f/cqtczeZvUeFnFrcacV2hkf35JvfQePPfHnn4HWxtc0NPa08CCA0PcK77VT1S7MmQkH2pCA2/kvGpZX4w8GNtokJqnMmeH3efGs9mKvdDs98T7e4oalx/fF1rvNBvu/P3y+u/i+rJ6FvjrGr0H2PXMzR8VnT4P93ui3Q9Q6MQATMGj7zrHRwKuvvKoyLfEULDY1hcTxT3SLEnQ8qdHF5qKTJCw69kytWy4To1PbuzDYgfyPw4Z6PK1Xh2Av1nf/onOzf9/H/P/Uo+/rcfsV2wHN+df7kaL7XcHqHhztu1xg3jf3j2f8hH//rf79R4udut3J9qd0e41ni+lGZpuFt9uNa46Z3VGW6M81uXu+Uk/3M8/9/5RYw7/1K3nOT/rJLfO58p7ryJCCOA0PDk53rnu2eaPRdW6m73QpO53HEwsNgn6V4ypWo5X2jkHyYHc3fepWo8/4eE/HvgTTa2PrgzL1XjCA13nuUiqPFyhOJ/3bXGc9v39nRxfobjkLjUuOmaCZ4j4ALNc6/Szq/ZQp/juT+v8LOhO//8nz9yD2suJDRyP1PYauLOm4gwAgiN/7+9ewuxqgrjAL5exx7yUmAmUhYVJRQFUlQUVGRQMiBiRkYoZGklZlH45JME3bCLoaBFQiYhSL0YISQplVQYWFSUQZAJ5aUXpbdYG/Zhuz0z5zh75mxX6zcvyszZe63v953zcP6stXYzP1cTIECAAAECBAgQIECAAAECLQgINFpANyQBAgQIECBAgAABAgQIECDQTECg0czP1QQIECBAgAABAgQIECBAgEALAgKNFtANSYAAAQIECBAgQIAAAQIECDQTEGg083M1AQIECBAgQIAAAQIECBAg0IKAQKMFdEMSIECAAAECBAgQIECAAAECzQQEGs38XE2AAAECBAgQIECAAAECBAi0ICDQaAHdkAQIECBAgAABAgQIECBAgEAzAYFGMz9XEyBAgAABAgQIECBAgAABAi0ICDRaQDckAQIECBAgQIAAAQIECBAg0ExAoNHMz9UECBAgQIAAAQIECBAgQIBACwICjRbQDUmAAAECBAgQIECAAAECBAg0ExBoNPNzNQECBAgQIECAAAECBAgQINCCgECjBXRDEiBAgAABAgQIECBAgAABAs0EBBrN/FxNgAABAgQIECBAgAABAgQItCAg0GgB3ZAECBAgQIAAAQIECBAgQIBAMwGBRjM/VxMgQIAAgUYCf/19LKxb/0pYvHA43HbL3Eb3GtTFp06dCutffivMue7q8OCC+V2HHVRd+744ELZ/uCusW7smXHzRtEERGIcAAQIECBA4DwQEGudBE0yBAAECBP6fAq++sTkc+ObgiMVNmzo5PP3E0vD621sFGmN8C/QTaHyw86Pw+f4vG4cecaw3N71bzDT2rhqi9BPyjLFElxEgQIAAAQIjCAg0vDUIECBAgMAABEZasTColQzjWWI/X94HVVc/gcZ41F6vJ4ZV8eeZpx4r/o3z2P3p3rD22ZVh0qRJ4zGkexAgQIAAAQI9BAQa3iIECBAgQGAAAr0CjeH754W9+74Kvxz+rZjN3Jtu6HxZLqdXXfExNDQUnlu1PFx7zVWhGjAcOXK0WBUSVxA8v3pl2PzO++GK2bPCr4d/P+PeSxYvKLa6HDt+srj98APzOttHyrmWf6vPZ6yBxg8//hxe2rApnD59umuNcSXFro93d7pRrbH8Zbe51VdL1NsZ73vo+5+KsCH+lNtlSqv4uytnXz5qGBHnHldnPLn80cK8GmCU95x3zx3JbBsawFveEAQIECBAYMIFBBoTTmwAAgQIECAQQq9A49TpfzsBRfnFf9kjizpfkLutCNjy3o7imstmzSy+pMcwJH7hLs/iKIOHP/48eta9Y0/KQKT+ZT3Oddv2neHxZQ8Xqw3Kud9+681F6DGWQKNeU3mPqVMu7AQ3MXiYOWN6Z/71rSL1ecQa+lmh0S3QqFp1u2/9PTtaoPHtd4fCga8PnhVAed8TIECAAAECEysg0JhYX3cnQIAAAQKFQK9Ao3ooaD0wiF+mt2zbEV5YvaJz8GX1NfPvu7vrIZ3dgod+f1dvWwwF4oqGuMViLIFGNVQot2T0CiOi2YuvbQzLliwqVkWM5R6xjpFWaFQPNK0HRvX6R9pyEle6lHOM15QrUHqtGvGxIECAAAECBJoLCDSaG7oDAQIECBDoKdAk0KgeRlkfKG4VmYhAo749JI5bbsuI/z/Xp5zEwGDGjOlnPBWlHljE+3Y7SLVcddItdOgVioxXoBHv0+1Q0D179xdBT1zNEk3KbSe9ApKebxgvIECAAAECBHoKCDR6EnkBAQIECBBoLtA00Bjt0aQjrZjodzVG/XXlWRbV7Sv9rHKoKnVb0TBaoBEfuRrP9JgyeUrnLIt+7jHIQKP+LqgGMvFvI52x4ZDQ5p8fdyBAgAABAt0EBBreFwQIECBAYAACTQKN+vkN9em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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig_load_curve = load_series.iplot(title=f'Heatpump Load curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='E-load', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n", "fig_load_curve" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def cop_curve_new(Tsink, Tsource):\n", " Tsink += 273\n", " Tsource += 273\n", " Tlift = Tsink - Tsource\n", "\n", " c0 = 0.0005426*Tlift**2 - 0.1178*Tlift + 6.962\n", " c1 = 6.7058 \n", " c2 = -1.79\n", " \n", " return Polynomial([c0, c1, c2])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "data": { "text/latex": [ "$x \\mapsto \\text{19.2496754} + \\text{6.7058}\\,x - \\text{1.79}\\,x^{2}$" ], "text/plain": [ "Polynomial([19.2496754, 6.7058 , -1.79 ], domain=[-1, 1], window=[-1, 1])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sourceT = 63 + 273\n", "sinkT = 140 + 273\n", "cop_curve_new(sourceT, sinkT)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "heatpump = Heatpump(\n", " name='Heatpump',\n", " max_th_power=1,\n", " min_th_power=0,\n", " cop_curve=cop_curve_new\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "import itertools\n", "\n", "source_Ts = np.arange(25, 75) + 273\n", "sink_Ts = np.arange(80, 170) + 273\n", "\n", "df = pd.DataFrame(columns=list(sink_Ts), index=list(source_Ts))\n", "for sourceT, sinkT in itertools.product(source_Ts, sink_Ts):\n", " df.loc[sourceT, sinkT] = heatpump.get_cop(heat_output=0.5, Tsink=sinkT, Tsource=sourceT)\n", " \n", "#df.to_csv('cops_at_50perc_load.csv', sep=';', decimal=',')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sourceT = 63 + 273\n", "sinkT = 140 + 273\n", "loads = np.arange(0, 1, 0.01)\n", "\n", "cop_series = pd.Series(index=loads, dtype='float')\n", "load_series = pd.Series(index=loads, dtype='float')\n", "for load in loads:\n", " cop = heatpump.get_cop(heat_output=load, Tsink=sinkT, Tsource=sourceT)\n", " cop_series[load] = cop\n", " load_series[load] = load / cop " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": true }, "data": [ { "line": { "color": "rgba(255, 153, 51, 1.0)", "dash": "solid", "shape": "linear", "width": 1.3 }, "mode": "lines", "name": "None", "text": "", "type": "scatter", "x": [ 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 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", 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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig_load_curve = load_series.iplot(title=f'Heatpump Load curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='E-load', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n", "fig_load_curve" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Create and assign assets" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def create_and_assign_assets(c, s):\n", " heatpump_vdg = Heatpump(\n", " name='Heatpump VDG',\n", " max_th_power=c.hp_vdg_e_power,\n", " min_th_power=c.hp_vdg_e_power * c.hp_min_load,\n", " cop_curve=cop_curve_new\n", " )\n", "\n", " heatpump_ndg = Heatpump(\n", " name='Heatpump NDG',\n", " max_th_power=c.hp_ndg_e_power,\n", " min_th_power=c.hp_ndg_e_power * c.hp_min_load,\n", " cop_curve=cop_curve_new\n", " )\n", "\n", " capex_vdg = c.hp_capex*(heatpump_vdg.max_th_power) \n", " capex_ndg = c.hp_capex*(heatpump_ndg.max_th_power)\n", " heatpump_vdg.set_financials(capex=capex_vdg, opex=c.hp_opex*capex_vdg, devex=c.hp_devex*capex_vdg, lifetime=25)\n", " heatpump_ndg.set_financials(capex=capex_ndg, opex=c.hp_opex*capex_ndg, devex=c.hp_devex*capex_ndg, lifetime=25)\n", "\n", " gasboiler = GasBoiler(\n", " name='Gasboiler',\n", " max_th_output=c.gb_power,\n", " efficiency=c.gb_efficiency\n", " )\n", " gasboiler.set_financials(capex=0, opex=0, devex=0, lifetime=25)\n", " \n", " waterstorage = HotWaterStorage(\n", " name='HotWaterStorage',\n", " rated_power=c.storage_power, \n", " capacity_per_volume=c.storage_cap_per_volume,\n", " volume=c.storage_volume, \n", " temperature=c.storage_temperature,\n", " min_storagelevel=c.storage_min_level,\n", " # initial_storagelevel=c.storage_initial_level\n", " )\n", " capex_ws = c.storage_capex_per_MW * waterstorage.max_power + c.storage_capex_per_MWh * waterstorage.capacity\n", " opex_ws = c.storage_opex_perc_of_capex * capex_ws\n", " waterstorage.set_financials(capex=capex_ws, opex=opex_ws, devex=0, lifetime=c.storage_lifetime)\n", " \n", " s.baseline.add_asset(gasboiler)\n", " s.hpcase.add_asset(heatpump_vdg)\n", " s.hpcase.add_asset(heatpump_ndg)\n", " s.storage_case.add_asset(heatpump_vdg)\n", " s.storage_case.add_asset(heatpump_ndg)\n", " s.storage_case.add_asset(waterstorage)\n", "# s.hpcase_sde.add_asset(heatpump_vdg)\n", "# s.hpcase_sde.add_asset(heatpump_ndg)\n", "# s.optcase1.add_asset(heatpump_vdg)\n", "# s.optcase1.add_asset(heatpump_ndg)\n", "# s.optcase1.add_asset(gasboiler)\n", "# s.afrr_case.add_asset(heatpump_vdg)\n", "# s.afrr_case.add_asset(heatpump_ndg)\n", "# s.afrr_case.add_asset(gasboiler)\n", " return s\n", "\n", "s = create_and_assign_assets(c, s)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "HotWaterStorage(name=HotWaterStorage, rated_power=25, capacity=50.0, temperature=95, min_storagelevel=2.5)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.assets['HotWaterStorage']" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Optimization" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Strategies" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def baseline_sim(case):\n", " gasboiler = list(case.assets.values())[0]\n", " data = case.data\n", " demand = (data['MW (VDG)'] + data['MW (NDG)']).to_list()\n", "\n", " minutes = iter(range(len(case.data)))\n", " th_output = [0] * len(case.data)\n", " gas_input = [0] * len(case.data)\n", "\n", " for m in minutes:\n", " th_output[m], gas_input[m] = gasboiler.set_heat_output(demand[m])\n", "\n", " data['output_MW_th'] = np.array(th_output)\n", " data['output_MWh_th'] = np.array(data['output_MW_th']/60)\n", " data['gb_input_MW'] = np.array(gas_input)\n", " data['gb_input_MWh'] = np.array(data['gb_input_MW']/60)\n", " case.data = data.round(5)\n", " return case" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def hponly(case):\n", " hp_vdg = case.assets['Heatpump VDG']\n", " hp_ndg = case.assets['Heatpump NDG']\n", " demand_vdg = case.data['MW (VDG)'].to_list()\n", " demand_ndg = case.data['MW (NDG)'].to_list()\n", " Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n", " Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n", " Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n", " Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n", "\n", " hp_vdg_input = [0] * len(case.data)\n", " hp_ndg_input = [0] * len(case.data)\n", " hp_vdg_output = [0] * len(case.data)\n", " hp_ndg_output = [0] * len(case.data)\n", "\n", " minutes = iter(range(len(case.data)))\n", " for m in minutes:\n", " demand = demand_vdg[m]\n", " if demand != 0:\n", " hp_vdg_input[m], hp_vdg_output[m] = hp_vdg.set_heat_output(\n", " heat_output=demand,\n", " Tsink=Tsink_vdg[m],\n", " Tsource=Tsource_vdg[m]\n", " )\n", "\n", " demand = demand_ndg[m]\n", " if demand != 0:\n", " hp_ndg_input[m], hp_ndg_output[m] = hp_ndg.set_heat_output(\n", " heat_output=demand_ndg[m],\n", " Tsink=Tsink_ndg[m],\n", " Tsource=Tsource_ndg[m]\n", " )\n", "\n", " case.data['hp_output_MW'] = np.array(hp_vdg_output) + np.array(hp_ndg_output)\n", " case.data['hp_input_MW'] = np.array(hp_vdg_input) + np.array(hp_ndg_input)\n", " case.data['cop'] = case.data['hp_output_MW'] / -case.data['hp_input_MW']\n", " \n", " for col in case.data.columns:\n", " if col.endswith('MW'):\n", " case.data[col + 'h'] = case.data[col] / 60\n", "\n", " case.data = case.data.round(3)\n", " return case" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "Tref = 0\n", "Cp = 4190 #J/kgK\n", "MWtoJs = 1000_000\n", "\n", "def power_to_mass_flow(power_MW, Tsink, Tref, Cp):\n", " return power_MW * MWtoJs /(Cp*(Tsink - Tref))\n", "def energy_to_storage(hp_heat_output_MW, process_demand_MW):\n", " return hp_heat_output_MW - process_demand_MW #MW\n", "\n", "def Tsource_calculation(Tstorage, discharge_power, Tsource, process_mass_flow): \n", " discharge_mass_flow = power_to_mass_flow(discharge_power, Tstorage, Tref, Cp)\n", " \n", " combined_mass_flow = (discharge_mass_flow + process_mass_flow)\n", " if combined_mass_flow == 0:\n", " return 0\n", " else: \n", " return (Tstorage * discharge_mass_flow + Tsource * process_mass_flow) / combined_mass_flow" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def hponly_with_storage(case):\n", " hp_vdg = case.assets['Heatpump VDG']\n", " hp_ndg = case.assets['Heatpump NDG']\n", " ws = case.assets['HotWaterStorage']\n", " demands_vdg = case.data['MW (VDG)'].to_list()\n", " demands_ndg = case.data['MW (NDG)'].to_list()\n", " Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n", " Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n", " Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n", " Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n", " dam_prices = case.data['DAM'].to_list()\n", " pos_prices = case.data['POS'].to_list()\n", " neg_prices = case.data['NEG'].to_list()\n", "\n", " hp_vdg_input = [0] * len(case.data)\n", " hp_ndg_input = [0] * len(case.data)\n", " hp_vdg_output = [0] * len(case.data)\n", " hp_ndg_output = [0] * len(case.data)\n", "\n", " minutes = len(case.data)\n", " storage_levels = [None] * minutes\n", " to_storage_list = [0] * minutes\n", " from_storage_vdg_list = [0] * minutes\n", " to_storage_vdg_list = [0] * minutes\n", " from_storage_ndg_list = [0] * minutes\n", " to_storage_ndg_list = [0] * minutes\n", " \n", " new_tsources_vdg = deepcopy(case.data['Tsource (VDG)'].to_list())\n", " new_tsources_ndg = deepcopy(case.data['Tsource (NDG)'].to_list())\n", " \n", " ws.set_chargelevel(ws.min_chargelevel)\n", " \n", " for m in range(minutes):\n", " tsource_vdg = Tsource_vdg[m]\n", " tsink_vdg = Tsink_vdg[m]\n", " tsource_ndg = Tsource_ndg[m]\n", " tsink_ndg = Tsink_ndg[m]\n", " demand_vdg = demands_vdg[m]\n", " demand_ndg = demands_ndg[m]\n", " \n", " from_storage_vdg_MW = 0\n", " to_storage_vdg_MW = 0 \n", " from_storage_ndg_MW = 0\n", " to_storage_ndg_MW = 0 \n", " \n", " if neg_prices[m] < dam_prices[m] - c.threshold:\n", " # overproduce\n", " desired_hp_load_vdg = min(demand_vdg + ws.charging_power_limit, hp_vdg.max_th_power)\n", " e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(desired_hp_load_vdg, tsink_vdg, tsource_vdg)\n", " \n", " to_storage_vdg_MW = th_load_vdg - demand_vdg\n", " to_storage_vdg_MW = -ws.charge(round(to_storage_vdg_MW, 3))\n", " \n", " extra_charging_power_constraint = ws.max_power - to_storage_vdg_MW\n", " \n", " desired_hp_load_ndg = min(\n", " demand_ndg + min(ws.charging_power_limit, extra_charging_power_constraint), \n", " hp_ndg.max_th_power\n", " )\n", " e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(desired_hp_load_ndg, tsink_ndg, tsource_ndg)\n", " \n", " to_storage_ndg_MW = th_load_ndg - demand_ndg\n", " to_storage_ndg_MW = -ws.charge(round(to_storage_ndg_MW, 3))\n", " \n", " elif pos_prices[m] > dam_prices[m] + c.threshold:\n", " # take from storage\n", " from_process_massflow_vdg = power_to_mass_flow(demand_vdg, tsink_vdg, Tref, Cp)\n", " try:\n", " from_storage_vdg_MW = ws.discharging_power_limit\n", " tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n", " \n", " e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n", " except: \n", " from_storage_vdg_MW = 0\n", " tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n", " e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n", " \n", " from_storage_vdg_MW = ws.discharge(round(from_storage_vdg_MW, 3))\n", " from_process_massflow_ndg = power_to_mass_flow(demand_ndg, tsink_ndg, Tref, Cp)\n", " \n", " \n", " \n", " \n", " try:\n", " from_storage_ndg_MW = min(ws.max_power - from_storage_vdg_MW, ws.discharging_power_limit)\n", " tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n", " e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n", " except: \n", " from_storage_vdg_MW = 0\n", " tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n", " e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n", " \n", " from_storage_ndg_MW = ws.discharge(round(from_storage_ndg_MW))\n", "\n", " discharge = True\n", " else:\n", " e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(\n", " heat_output=demand_vdg,\n", " Tsink=tsink_vdg,\n", " Tsource=tsource_vdg\n", " )\n", "\n", " e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(\n", " heat_output=demand_ndg,\n", " Tsink=tsink_ndg,\n", " Tsource=tsource_ndg\n", " )\n", " \n", " \n", " hp_vdg_input[m] = e_load_vdg\n", " hp_vdg_output[m] = th_load_vdg\n", " hp_ndg_input[m] = e_load_ndg\n", " hp_ndg_output[m] = th_load_ndg\n", " \n", " storage_levels[m] = ws.chargelevel\n", " new_tsources_vdg[m] = tsource_vdg\n", " new_tsources_ndg[m] = tsource_ndg\n", " to_storage_vdg_list[m] = to_storage_vdg_MW\n", " from_storage_vdg_list[m] = from_storage_vdg_MW\n", " to_storage_ndg_list[m] = to_storage_ndg_MW\n", " from_storage_ndg_list[m] = from_storage_ndg_MW\n", "\n", " case.data['hp_output_MW'] = np.array(hp_vdg_output) + np.array(hp_ndg_output)\n", " case.data['hp_input_MW'] = np.array(hp_vdg_input) + np.array(hp_ndg_input)\n", " case.data['cop'] = case.data['hp_output_MW'] / -case.data['hp_input_MW']\n", " case.data['tsource_vdg'] = new_tsources_vdg\n", " case.data['tsource_ndg'] = new_tsources_ndg\n", " case.data['to_storage_ndg_MW'] = to_storage_ndg_list\n", " case.data['from_storage_ndg_MW'] = from_storage_ndg_list\n", " case.data['to_storage_vdg_MW'] = to_storage_vdg_list\n", " case.data['from_storage_vdg_MW'] = from_storage_vdg_list\n", " case.data['to_storage_MW'] = case.data['to_storage_vdg_MW'] + case.data['to_storage_ndg_MW']\n", " case.data['from_storage_MW'] = case.data['from_storage_vdg_MW'] + case.data['from_storage_ndg_MW']\n", " case.data['storage_level_MWh'] = storage_levels\n", " \n", " for col in case.data.columns:\n", " if col.endswith('MW'):\n", " case.data[col + 'h'] = case.data[col] / 60\n", "\n", " case.data = case.data.round(3)\n", " return case\n", "# Negative values = Buy, positive values = Sell" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "# charge_times = print(sum(s.storage_case.data['to_storage_MW']!= 0))\n", "# discharge_times = print(sum(s.storage_case.data['from_storage_MW']!= 0))\n", "# # 154476 times out of 525600, the storage is used to charge/dischage\n", "# # from 39 000 to 110 000 discharge time increases\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "s.storage_case = hponly_with_storage(s.storage_case)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DAM 49.580\n", "POS 157.020\n", "NEG 157.020\n", "RS 1.000\n", "ForePos 72.810\n", "ForeNeg 78.740\n", "ForePos_nextQ NaN\n", "ForeNeg_nextQ NaN\n", "Gas prices (€/MWh) 22.380\n", "CO2 prices (€/ton) 34.240\n", "CO2 prices (€/MWh) 6.600\n", "Tsource (VDG) 65.055\n", "Tsink (VDG) 158.025\n", "MW (VDG) 20.705\n", "Tsource (NDG) 63.755\n", "Tsink (NDG) 161.590\n", "MW (NDG) 6.860\n", "Total demand 27.565\n", "hp_output_MW 27.565\n", "hp_input_MW -4.893\n", "cop 5.634\n", "tsource_vdg 85.046\n", "tsource_ndg 63.755\n", "to_storage_ndg_MW 0.000\n", "from_storage_ndg_MW 0.000\n", "to_storage_vdg_MW 0.000\n", "from_storage_vdg_MW 25.000\n", "to_storage_MW 0.000\n", "from_storage_MW 25.000\n", "storage_level_MWh 47.083\n", "hp_output_MWh 0.459\n", "hp_input_MWh -0.082\n", "to_storage_ndg_MWh 0.000\n", "from_storage_ndg_MWh 0.000\n", "to_storage_vdg_MWh 0.000\n", "from_storage_vdg_MWh 0.417\n", "to_storage_MWh 0.000\n", "from_storage_MWh 0.417\n", "Name: 2019-01-01 09:45:00+01:00, dtype: float64" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data.iloc[585]" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DAMPOSNEGhp_output_MWto_storage_MWTotal demand
count525600.000000525600.000000525600.000000525600.000000525600.000000525600.000000
mean41.19580140.39106042.55408224.4937681.03323223.460537
std11.27817351.22693152.0032526.8434743.2688266.814125
min-9.020000-487.650000-487.6500000.0000000.0000000.000000
25%34.10000024.47000025.53000022.7680000.00000022.676000
50%39.70000031.11000032.16000026.9600000.00000026.441000
75%47.39250040.90000042.54000027.9700000.00000027.690000
max121.460000936.120000936.12000031.00000025.00000030.900000
\n", "
" ], "text/plain": [ " DAM POS NEG hp_output_MW \\\n", "count 525600.000000 525600.000000 525600.000000 525600.000000 \n", "mean 41.195801 40.391060 42.554082 24.493768 \n", "std 11.278173 51.226931 52.003252 6.843474 \n", "min -9.020000 -487.650000 -487.650000 0.000000 \n", "25% 34.100000 24.470000 25.530000 22.768000 \n", "50% 39.700000 31.110000 32.160000 26.960000 \n", "75% 47.392500 40.900000 42.540000 27.970000 \n", "max 121.460000 936.120000 936.120000 31.000000 \n", "\n", " to_storage_MW Total demand \n", "count 525600.000000 525600.000000 \n", "mean 1.033232 23.460537 \n", "std 3.268826 6.814125 \n", "min 0.000000 0.000000 \n", "25% 0.000000 22.676000 \n", "50% 0.000000 26.441000 \n", "75% 0.000000 27.690000 \n", "max 25.000000 30.900000 " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW', 'Total demand']].describe()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DAMPOSNEGhp_output_MWto_storage_MWfrom_storage_MWTotal demand
2019-08-25 05:20:00+02:0028.0327.4027.4020.6300.0000.020.630
2019-10-26 20:53:00+02:0035.7721.6521.6527.7140.0000.027.714
2019-01-31 03:39:00+01:0046.8243.8443.8426.4080.0000.026.408
2019-04-07 07:22:00+02:0039.4332.2232.2227.4060.0000.027.406
2019-09-09 19:27:00+02:0060.6419.0219.0222.9830.0000.022.983
2019-11-09 08:35:00+01:0042.0232.2132.2122.9300.0000.022.930
2019-01-20 10:33:00+01:0057.0044.6744.6721.1210.0000.021.121
2019-11-11 13:55:00+01:0045.6046.3746.3727.5700.0000.027.570
2019-11-25 03:18:00+01:0035.4033.35176.3529.8600.0000.029.860
2019-03-13 03:20:00+01:0037.4031.5431.5420.6900.0000.020.690
2019-11-10 12:45:00+01:0040.1011.3711.3731.0002.8750.028.125
2019-12-19 15:14:00+01:0038.7226.3735.0227.4500.0000.027.450
2019-04-16 04:08:00+02:0035.0634.7334.730.0000.0000.00.000
2019-09-16 09:36:00+02:0055.3128.6128.6131.00010.3020.020.698
2019-01-15 01:28:00+01:0042.00342.00342.0027.8680.0000.027.868
2019-11-05 03:40:00+01:0024.9925.6125.6122.4300.0000.022.430
2019-07-13 15:58:00+02:0033.5126.5726.5728.3280.0000.028.328
2019-05-22 14:06:00+02:0036.9948.6548.6527.7220.0000.027.722
2019-07-21 06:48:00+02:0029.8827.0727.0728.6860.0000.028.686
2019-12-31 17:53:00+01:0046.0620.7520.7531.0008.2270.022.773
\n", "
" ], "text/plain": [ " DAM POS NEG hp_output_MW to_storage_MW \\\n", "2019-08-25 05:20:00+02:00 28.03 27.40 27.40 20.630 0.000 \n", "2019-10-26 20:53:00+02:00 35.77 21.65 21.65 27.714 0.000 \n", "2019-01-31 03:39:00+01:00 46.82 43.84 43.84 26.408 0.000 \n", "2019-04-07 07:22:00+02:00 39.43 32.22 32.22 27.406 0.000 \n", "2019-09-09 19:27:00+02:00 60.64 19.02 19.02 22.983 0.000 \n", "2019-11-09 08:35:00+01:00 42.02 32.21 32.21 22.930 0.000 \n", "2019-01-20 10:33:00+01:00 57.00 44.67 44.67 21.121 0.000 \n", "2019-11-11 13:55:00+01:00 45.60 46.37 46.37 27.570 0.000 \n", "2019-11-25 03:18:00+01:00 35.40 33.35 176.35 29.860 0.000 \n", "2019-03-13 03:20:00+01:00 37.40 31.54 31.54 20.690 0.000 \n", "2019-11-10 12:45:00+01:00 40.10 11.37 11.37 31.000 2.875 \n", "2019-12-19 15:14:00+01:00 38.72 26.37 35.02 27.450 0.000 \n", "2019-04-16 04:08:00+02:00 35.06 34.73 34.73 0.000 0.000 \n", "2019-09-16 09:36:00+02:00 55.31 28.61 28.61 31.000 10.302 \n", "2019-01-15 01:28:00+01:00 42.00 342.00 342.00 27.868 0.000 \n", "2019-11-05 03:40:00+01:00 24.99 25.61 25.61 22.430 0.000 \n", "2019-07-13 15:58:00+02:00 33.51 26.57 26.57 28.328 0.000 \n", "2019-05-22 14:06:00+02:00 36.99 48.65 48.65 27.722 0.000 \n", "2019-07-21 06:48:00+02:00 29.88 27.07 27.07 28.686 0.000 \n", "2019-12-31 17:53:00+01:00 46.06 20.75 20.75 31.000 8.227 \n", "\n", " from_storage_MW Total demand \n", "2019-08-25 05:20:00+02:00 0.0 20.630 \n", "2019-10-26 20:53:00+02:00 0.0 27.714 \n", "2019-01-31 03:39:00+01:00 0.0 26.408 \n", "2019-04-07 07:22:00+02:00 0.0 27.406 \n", "2019-09-09 19:27:00+02:00 0.0 22.983 \n", "2019-11-09 08:35:00+01:00 0.0 22.930 \n", "2019-01-20 10:33:00+01:00 0.0 21.121 \n", "2019-11-11 13:55:00+01:00 0.0 27.570 \n", "2019-11-25 03:18:00+01:00 0.0 29.860 \n", "2019-03-13 03:20:00+01:00 0.0 20.690 \n", "2019-11-10 12:45:00+01:00 0.0 28.125 \n", "2019-12-19 15:14:00+01:00 0.0 27.450 \n", "2019-04-16 04:08:00+02:00 0.0 0.000 \n", "2019-09-16 09:36:00+02:00 0.0 20.698 \n", "2019-01-15 01:28:00+01:00 0.0 27.868 \n", "2019-11-05 03:40:00+01:00 0.0 22.430 \n", "2019-07-13 15:58:00+02:00 0.0 28.328 \n", "2019-05-22 14:06:00+02:00 0.0 27.722 \n", "2019-07-21 06:48:00+02:00 0.0 28.686 \n", "2019-12-31 17:53:00+01:00 0.0 22.773 " ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW', 'from_storage_MW','Total demand']].sample(20)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n", " 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n", " 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n", " 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand'],\n", " dtype='object')" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.hpcase.data.columns" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n", " 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n", " 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n", " 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand',\n", " 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg', 'tsource_ndg',\n", " 'to_storage_ndg_MW', 'from_storage_ndg_MW', 'to_storage_vdg_MW',\n", " 'from_storage_vdg_MW', 'to_storage_MW', 'from_storage_MW',\n", " 'storage_level_MWh', 'hp_output_MWh', 'hp_input_MWh',\n", " 'to_storage_ndg_MWh', 'from_storage_ndg_MWh', 'to_storage_vdg_MWh',\n", " 'from_storage_vdg_MWh', 'to_storage_MWh', 'from_storage_MWh'],\n", " dtype='object')" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data.columns" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "# hp_selection = s.hpcase.data[['DAM', 'POS', 'NEG', 'hp_input_MW', 'hp_output_MW', 'cop', 'Total demand']]\n", "hp_selection = s.hpcase.data[['DAM', 'POS', 'NEG', 'Total demand']]\n", "storage_selection = s.storage_case.data[['hp_input_MW', 'hp_output_MW', 'cop', 'to_storage_MW', 'from_storage_MW']]\n", "\n", "selection = pd.concat([hp_selection, storage_selection], axis=1)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DAMPOSNEGTotal demandhp_input_MWhp_output_MWcopto_storage_MWfrom_storage_MW
2019-12-04 09:46:00+01:0058.0118.4818.4827.534-5.52531.0005.6103.4660.0
2019-09-17 06:21:00+02:0045.9031.5031.5020.806-3.52420.8065.9040.0000.0
2019-05-29 21:58:00+02:0047.1337.1137.1127.780-5.18527.7805.3580.0000.0
2019-07-05 00:52:00+02:0029.8022.8922.8922.738-4.07022.7385.5860.0000.0
2019-03-29 08:22:00+01:0047.6231.0331.0329.712-5.40129.7125.5010.0000.0
2019-07-12 06:40:00+02:0042.9744.8344.8322.940-3.99822.9405.7380.0000.0
2019-05-18 20:26:00+02:0045.1749.4249.420.000-0.0000.000NaN0.0000.0
2019-05-28 22:01:00+02:0038.7725.9225.9229.816-5.35329.8165.5700.0000.0
2019-12-22 12:28:00+01:0035.0053.2053.2020.706-3.73120.7065.5490.0000.0
2019-11-05 11:51:00+01:0048.4328.7128.7127.582-5.21127.5825.2940.0000.0
2019-02-15 07:28:00+01:0059.9839.4339.4327.678-5.43631.0005.7023.3220.0
2019-01-05 02:06:00+01:0045.6857.1457.1420.670-3.64420.6705.6730.0000.0
2019-06-16 22:45:00+02:0047.8024.1124.1122.735-4.71431.0006.5768.2650.0
2019-03-05 12:37:00+01:0042.59-2.16-2.1622.783-4.86831.0006.3688.2170.0
2019-12-15 17:41:00+01:0039.1026.43109.9520.667-3.52720.6675.8600.0000.0
2019-12-26 20:50:00+01:0037.2415.8615.8627.780-5.40831.0005.7323.2200.0
2019-06-19 23:19:00+02:0034.9952.1152.1123.017-3.94423.0175.8360.0000.0
2019-12-19 15:53:00+01:0038.7221.3521.3527.814-5.11727.8145.4360.0000.0
2019-03-11 11:01:00+01:0042.6639.1739.1726.731-4.86626.7315.4930.0000.0
2019-07-12 08:44:00+02:0058.3063.3063.3022.880-3.99422.8805.7280.0000.0
\n", "
" ], "text/plain": [ " DAM POS NEG Total demand hp_input_MW \\\n", "2019-12-04 09:46:00+01:00 58.01 18.48 18.48 27.534 -5.525 \n", "2019-09-17 06:21:00+02:00 45.90 31.50 31.50 20.806 -3.524 \n", "2019-05-29 21:58:00+02:00 47.13 37.11 37.11 27.780 -5.185 \n", "2019-07-05 00:52:00+02:00 29.80 22.89 22.89 22.738 -4.070 \n", "2019-03-29 08:22:00+01:00 47.62 31.03 31.03 29.712 -5.401 \n", "2019-07-12 06:40:00+02:00 42.97 44.83 44.83 22.940 -3.998 \n", "2019-05-18 20:26:00+02:00 45.17 49.42 49.42 0.000 -0.000 \n", "2019-05-28 22:01:00+02:00 38.77 25.92 25.92 29.816 -5.353 \n", "2019-12-22 12:28:00+01:00 35.00 53.20 53.20 20.706 -3.731 \n", "2019-11-05 11:51:00+01:00 48.43 28.71 28.71 27.582 -5.211 \n", "2019-02-15 07:28:00+01:00 59.98 39.43 39.43 27.678 -5.436 \n", "2019-01-05 02:06:00+01:00 45.68 57.14 57.14 20.670 -3.644 \n", "2019-06-16 22:45:00+02:00 47.80 24.11 24.11 22.735 -4.714 \n", "2019-03-05 12:37:00+01:00 42.59 -2.16 -2.16 22.783 -4.868 \n", "2019-12-15 17:41:00+01:00 39.10 26.43 109.95 20.667 -3.527 \n", "2019-12-26 20:50:00+01:00 37.24 15.86 15.86 27.780 -5.408 \n", "2019-06-19 23:19:00+02:00 34.99 52.11 52.11 23.017 -3.944 \n", "2019-12-19 15:53:00+01:00 38.72 21.35 21.35 27.814 -5.117 \n", "2019-03-11 11:01:00+01:00 42.66 39.17 39.17 26.731 -4.866 \n", "2019-07-12 08:44:00+02:00 58.30 63.30 63.30 22.880 -3.994 \n", "\n", " hp_output_MW cop to_storage_MW from_storage_MW \n", "2019-12-04 09:46:00+01:00 31.000 5.610 3.466 0.0 \n", "2019-09-17 06:21:00+02:00 20.806 5.904 0.000 0.0 \n", "2019-05-29 21:58:00+02:00 27.780 5.358 0.000 0.0 \n", "2019-07-05 00:52:00+02:00 22.738 5.586 0.000 0.0 \n", "2019-03-29 08:22:00+01:00 29.712 5.501 0.000 0.0 \n", "2019-07-12 06:40:00+02:00 22.940 5.738 0.000 0.0 \n", "2019-05-18 20:26:00+02:00 0.000 NaN 0.000 0.0 \n", "2019-05-28 22:01:00+02:00 29.816 5.570 0.000 0.0 \n", "2019-12-22 12:28:00+01:00 20.706 5.549 0.000 0.0 \n", "2019-11-05 11:51:00+01:00 27.582 5.294 0.000 0.0 \n", "2019-02-15 07:28:00+01:00 31.000 5.702 3.322 0.0 \n", "2019-01-05 02:06:00+01:00 20.670 5.673 0.000 0.0 \n", "2019-06-16 22:45:00+02:00 31.000 6.576 8.265 0.0 \n", "2019-03-05 12:37:00+01:00 31.000 6.368 8.217 0.0 \n", "2019-12-15 17:41:00+01:00 20.667 5.860 0.000 0.0 \n", "2019-12-26 20:50:00+01:00 31.000 5.732 3.220 0.0 \n", "2019-06-19 23:19:00+02:00 23.017 5.836 0.000 0.0 \n", "2019-12-19 15:53:00+01:00 27.814 5.436 0.000 0.0 \n", "2019-03-11 11:01:00+01:00 26.731 5.493 0.000 0.0 \n", "2019-07-12 08:44:00+02:00 22.880 5.728 0.000 0.0 " ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "selection.sample(20)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DAM 41.195801\n", "POS 40.391060\n", "NEG 42.554082\n", "Total demand 23.460537\n", "hp_input_MW -4.388094\n", "hp_output_MW 24.493768\n", "cop 5.568844\n", "to_storage_MW 1.033232\n", "from_storage_MW 1.028095\n", "dtype: float64" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "selection.mean()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "########################\n", "\n", "# This is where we left\n", "\n", "########################" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def cost_function(th_load, cop, electricity_cost, alt_heat_price, demand):\n", " return (\n", " th_load / cop * electricity_cost\n", " + (demand - th_load) * alt_heat_price\n", " )" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def hybrid_imb_optimisation(case, decimals, s):\n", " gb = case.assets['Gasboiler']\n", " hp_vdg = case.assets['Heatpump VDG']\n", " hp_ndg = case.assets['Heatpump NDG']\n", " demand_vdg = case.data['MW (VDG)'].round(decimals).to_list()\n", " demand_ndg = case.data['MW (NDG)'].round(decimals).to_list()\n", " Tsink_vdg = case.data['Tsink (VDG)'].round(decimals).to_list()\n", " Tsink_ndg = case.data['Tsink (NDG)'].round(decimals).to_list()\n", " Tsource_vdg = case.data['Tsource (VDG)'].round(decimals).to_list()\n", " Tsource_ndg = case.data['Tsource (NDG)'].round(decimals).to_list()\n", " fore_neg = case.data[c.forecast].fillna(999).round(decimals).to_list()\n", " gas_prices = case.data['Gas prices (€/MWh)'].round(decimals).to_list()\n", " co2_prices = case.data['CO2 prices (€/MWh)'].round(decimals).to_list()\n", " eb_ode_g = s.eb_ode_g\n", " eb_ode_e = s.eb_ode_e\n", " \n", " gb_input = [0] * len(case.data)\n", " gb_output = [0] * len(case.data)\n", "\n", " minutes = range(len(case.data))\n", " hp_output = [0] * len(case.data)\n", " hp_input = [0] * len(case.data)\n", "\n", " for m in tqdm(minutes):\n", " dem_vgd = demand_vdg[m]\n", " if dem_vgd != 0:\n", " max_load = min(hp_vdg.max_th_power, dem_vgd)\n", " min_load = hp_vdg.min_th_power\n", " Tsink = Tsink_vdg[m]\n", " Tsource = Tsource_vdg[m]\n", " cop_max_load = hp_vdg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n", " cop_min_load = hp_vdg.get_cop(heat_output=min_load, Tsink=Tsink_vdg[m], Tsource=Tsource_vdg[m])\n", " \n", " cost_full_load = cost_function(\n", " th_load=max_load,\n", " cop=cop_max_load,\n", " electricity_cost=fore_neg[m] + eb_ode_e - c.sde_switch_price_correction,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " cost_min_load = cost_function(\n", " th_load=min_load,\n", " cop=cop_min_load,\n", " electricity_cost=fore_neg[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " if cost_full_load < cost_min_load:\n", " hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(max_load, Tsink, Tsource)\n", " else:\n", " hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(min_load, Tsink, Tsource)\n", " else:\n", " hp_vdg_input, hp_vdg_output = (0, 0)\n", "\n", " dem_ngd = demand_ndg[m]\n", " if dem_ngd != 0:\n", " max_load = min(hp_ndg.max_th_power, dem_ngd)\n", " min_load = hp_ndg.min_th_power\n", " Tsink = Tsink_ndg[m]\n", " Tsource = Tsource_ndg[m]\n", " cop_max_load = hp_ndg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n", " cop_min_load = hp_ndg.get_cop(heat_output=min_load, Tsink=Tsink, Tsource=Tsource)\n", " \n", " cost_full_load = cost_function(\n", " th_load=max_load,\n", " cop=cop_max_load,\n", " electricity_cost=fore_neg[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_ngd\n", " )\n", " \n", " cost_min_load = cost_function(\n", " th_load=min_load,\n", " cop=cop_min_load,\n", " electricity_cost=fore_neg[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " if cost_full_load <= cost_min_load:\n", " hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(max_load, Tsink=Tsink, Tsource=Tsource)\n", " else:\n", " hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(min_load, Tsink=Tsink, Tsource=Tsource)\n", " else:\n", " hp_ndg_input, hp_ndg_output = (0, 0)\n", "\n", " hp_out = hp_vdg_output + hp_ndg_output\n", " hp_output[m] = hp_out\n", " hp_input[m] = hp_vdg_input + hp_ndg_input\n", " remaining_demand = max(dem_vgd+dem_ngd-hp_out, 0)\n", " gb_output[m], gb_input[m] = gb.set_heat_output(remaining_demand)\n", "\n", " case.data['hp_output_MW'] = np.array(hp_output)\n", " case.data['hp_input_MW'] = np.array(hp_input)\n", " case.data['gb_output_MW'] = np.array(gb_output)\n", " case.data['gb_input_MW'] = np.array(gb_input)\n", "\n", " for col in case.data.columns:\n", " if col.endswith('MW'):\n", " case.data[col + 'h'] = case.data[col] / 60\n", "\n", " case.data = case.data.round(5)\n", " return case" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "aFRR\n", "* Bid in a volume (X MW) --> Strategy is to only bid in on aFRR down\n", "* Remaining demand is filed in by gasboiler\n", "* Bid price at switch price?\n", "* Assume direct response to 0% for now?\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def calc_afrr_capacity(case):\n", " hp_vdg = case.assets['Heatpump VDG']\n", " hp_ndg = case.assets['Heatpump NDG']\n", " \n", " capacity = 0\n", " for hp in [hp_vdg, hp_ndg]:\n", " max_th_output = hp.max_th_power\n", " cop = hp.get_cop(max_th_output, Tsink=135, Tsource=60)\n", " e_power = max_th_output / cop\n", " capacity += e_power\n", " return capacity" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def aFRR_optimisation(case, s):\n", " s.afrr_case.afrr_capacity = calc_afrr_capacity(s.afrr_case)\n", " gb = case.assets['Gasboiler']\n", " hp_vdg = case.assets['Heatpump VDG']\n", " hp_ndg = case.assets['Heatpump NDG']\n", " demand_vdg = case.data['MW (VDG)'].to_list()\n", " demand_ndg = case.data['MW (NDG)'].to_list()\n", " Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n", " Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n", " Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n", " Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n", " afrr_up = case.data['Hoogste_prijs_opregelen'].fillna(-999).to_list()\n", " gas_prices = case.data['Gas prices (€/MWh)'].to_list()\n", " co2_prices = case.data['CO2 prices (€/MWh)'].to_list()\n", " eb_ode_g = s.eb_ode_g\n", " eb_ode_e = s.eb_ode_e\n", " \n", " gb_input = [0] * len(case.data)\n", " gb_output = [0] * len(case.data)\n", "\n", " minutes = range(len(case.data))\n", " hp_output = [0] * len(case.data)\n", " hp_input = [0] * len(case.data)\n", "\n", " for m in tqdm(minutes):\n", " dem_vgd = demand_vdg[m]\n", " if dem_vgd != 0:\n", " max_load = min(hp_vdg.max_th_power, dem_vgd)\n", " min_load = hp_vdg.min_th_power\n", " Tsink = Tsink_vdg[m]\n", " Tsource = Tsource_vdg[m]\n", " cop_max_load = hp_vdg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n", " cop_min_load = hp_vdg.get_cop(heat_output=min_load, Tsink=Tsink_vdg[m], Tsource=Tsource_vdg[m])\n", " \n", " cost_full_load = cost_function(\n", " th_load=max_load,\n", " cop=cop_max_load,\n", " electricity_cost=afrr_up[m] + eb_ode_e - c.sde_switch_price_correction,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " cost_min_load = cost_function(\n", " th_load=min_load,\n", " cop=cop_min_load,\n", " electricity_cost=afrr_up[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " if cost_full_load < cost_min_load:\n", " hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(max_load, Tsink, Tsource)\n", " else:\n", " hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(min_load, Tsink, Tsource)\n", " else:\n", " hp_vdg_input, hp_vdg_output = (0, 0)\n", "\n", " dem_ngd = demand_ndg[m]\n", " if dem_ngd != 0:\n", " max_load = min(hp_ndg.max_th_power, dem_ngd)\n", " min_load = hp_ndg.min_th_power\n", " Tsink = Tsink_ndg[m]\n", " Tsource = Tsource_ndg[m]\n", " cop_max_load = hp_ndg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n", " cop_min_load = hp_ndg.get_cop(heat_output=min_load, Tsink=Tsink, Tsource=Tsource)\n", " \n", " cost_full_load = cost_function(\n", " th_load=max_load,\n", " cop=cop_max_load,\n", " electricity_cost=afrr_up[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_ngd\n", " )\n", " \n", " cost_min_load = cost_function(\n", " th_load=min_load,\n", " cop=cop_min_load,\n", " electricity_cost=afrr_up[m] + eb_ode_e,\n", " alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n", " demand=dem_vgd\n", " )\n", " \n", " if cost_full_load <= cost_min_load:\n", " hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(max_load, Tsink=Tsink, Tsource=Tsource)\n", " else:\n", " hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(min_load, Tsink=Tsink, Tsource=Tsource)\n", " else:\n", " hp_ndg_input, hp_ndg_output = (0, 0)\n", "\n", " hp_out = hp_vdg_output + hp_ndg_output\n", " hp_output[m] = hp_out\n", " hp_input[m] = hp_vdg_input + hp_ndg_input\n", " remaining_demand = max(dem_vgd+dem_ngd-hp_out, 0)\n", " gb_output[m], gb_input[m] = gb.set_heat_output(remaining_demand)\n", "\n", " case.data['hp_output_MW'] = np.array(hp_output)\n", " case.data['hp_input_MW'] = np.array(hp_input)\n", " case.data['gb_output_MW'] = np.array(gb_output)\n", " case.data['gb_input_MW'] = np.array(gb_input)\n", "\n", " for col in case.data.columns:\n", " if col.endswith('MW'):\n", " case.data[col + 'h'] = case.data[col] / 60\n", "\n", " case.data = case.data.round(5)\n", " return case" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Run optimisation" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def run_optimisation(c, s):\n", " s.baseline = baseline_sim(s.baseline)\n", " s.hpcase = hponly(s.hpcase)\n", " s.storage_case = hponly_with_storage(s.storage_case)\n", "# s.hpcase_sde.assign_algorithm(hponly)\n", "# s.hpcase_sde.run()\n", " \n", "# s.optcase1.assign_algorithm(hybrid_imb_optimisation)\n", "# s.optcase1.run(decimals=2, s=s)\n", " \n", "# s.afrr_case.assign_algorithm(aFRR_optimisation)\n", "# s.afrr_case.run(s=s)\n", " \n", " for case in [s.hpcase, s.storage_case]: # [s.hpcase, s.hpcase_sde, s.optcase1, s.afrr_case]:\n", " case.mean_cop = case.data['hp_output_MW'].sum() / case.data['hp_input_MW'].abs().sum()\n", " \n", " return s\n", "\n", "s = run_optimisation(c, s)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.451794715081109" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.hpcase.data['hp_output_MW'].sum() /s.hpcase.data['hp_input_MW'].abs().sum() " ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.581870973294327" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data['hp_output_MW'].sum() /s.storage_case.data['hp_input_MW'].abs().sum() " ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DAMPOSNEGRSForePosForeNegForePos_nextQForeNeg_nextQGas prices (€/MWh)CO2 prices (€/ton)...MW (VDG)Tsource (NDG)Tsink (NDG)MW (NDG)Total demandhp_output_MWhp_input_MWcophp_output_MWhhp_input_MWh
2019-01-01 00:00:00+01:0068.9234.8558.012.046.8352.70NaNNaN20.8334.24...0.020.510147.6200.00.00.00.0NaN0.00.0
2019-01-01 00:01:00+01:0068.9234.8558.012.032.1254.45NaNNaN20.8334.24...0.020.387147.6420.00.00.00.0NaN0.00.0
2019-01-01 00:02:00+01:0068.9234.8558.012.030.9748.64NaNNaN20.8334.24...0.020.264147.6640.00.00.00.0NaN0.00.0
2019-01-01 00:03:00+01:0068.9234.8558.012.051.1348.3557.7173.0520.8334.24...0.020.141147.6860.00.00.00.0NaN0.00.0
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5 rows × 23 columns

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" ], "text/plain": [ " DAM POS NEG RS ForePos ForeNeg \\\n", "2019-01-01 00:00:00+01:00 68.92 34.85 58.01 2.0 46.83 52.70 \n", "2019-01-01 00:01:00+01:00 68.92 34.85 58.01 2.0 32.12 54.45 \n", "2019-01-01 00:02:00+01:00 68.92 34.85 58.01 2.0 30.97 48.64 \n", "2019-01-01 00:03:00+01:00 68.92 34.85 58.01 2.0 51.13 48.35 \n", "2019-01-01 00:04:00+01:00 68.92 34.85 58.01 2.0 48.04 52.01 \n", "\n", " ForePos_nextQ ForeNeg_nextQ Gas prices (€/MWh) \\\n", "2019-01-01 00:00:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:01:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:02:00+01:00 NaN NaN 20.83 \n", "2019-01-01 00:03:00+01:00 57.71 73.05 20.83 \n", "2019-01-01 00:04:00+01:00 63.60 79.07 20.83 \n", "\n", " CO2 prices (€/ton) ... MW (VDG) Tsource (NDG) \\\n", "2019-01-01 00:00:00+01:00 34.24 ... 0.0 20.510 \n", "2019-01-01 00:01:00+01:00 34.24 ... 0.0 20.387 \n", "2019-01-01 00:02:00+01:00 34.24 ... 0.0 20.264 \n", "2019-01-01 00:03:00+01:00 34.24 ... 0.0 20.141 \n", "2019-01-01 00:04:00+01:00 34.24 ... 0.0 20.018 \n", "\n", " Tsink (NDG) MW (NDG) Total demand hp_output_MW \\\n", "2019-01-01 00:00:00+01:00 147.620 0.0 0.0 0.0 \n", "2019-01-01 00:01:00+01:00 147.642 0.0 0.0 0.0 \n", "2019-01-01 00:02:00+01:00 147.664 0.0 0.0 0.0 \n", "2019-01-01 00:03:00+01:00 147.686 0.0 0.0 0.0 \n", "2019-01-01 00:04:00+01:00 147.708 0.0 0.0 0.0 \n", "\n", " hp_input_MW cop hp_output_MWh hp_input_MWh \n", "2019-01-01 00:00:00+01:00 0.0 NaN 0.0 0.0 \n", "2019-01-01 00:01:00+01:00 0.0 NaN 0.0 0.0 \n", "2019-01-01 00:02:00+01:00 0.0 NaN 0.0 0.0 \n", "2019-01-01 00:03:00+01:00 0.0 NaN 0.0 0.0 \n", "2019-01-01 00:04:00+01:00 0.0 NaN 0.0 0.0 \n", "\n", "[5 rows x 23 columns]" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.hpcase.data.head()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "vis_data = s.storage_case.data[[\n", " 'storage_level_MWh', \n", " #'to_storage_ndg_MW', \n", " #'to_storage_vdg_MW', \n", " 'to_storage_MW', \n", " #'from_storage_ndg_MW', \n", " #'from_storage_vdg_MW',\n", " 'from_storage_MW'\n", "]]\n", "\n", "cops = pd.concat([s.hpcase.data['cop'], s.storage_case.data['cop']], axis=1)\n", "vis_data = pd.concat([vis_data, cops], axis=1)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": true }, "data": [ { "line": { "color": "rgba(255, 153, 51, 1.0)", "dash": "solid", "shape": "linear", "width": 1.3 }, "mode": "lines", "name": "storage_level_MWh", "text": "", "type": "scatter", "x": [ "2019-01-01 00:00:00+01:00", 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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis_data.loc['2019-01-01', :].iplot(subplots=True, shape=(5,1), dimensions=(1000, 800))" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(9052.612, 9013.202999999998)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total_to_storage = s.storage_case.data['to_storage_MWh'].sum()\n", "total_from_storage = s.storage_case.data['from_storage_MWh'].sum()\n", "total_to_storage, total_from_storage" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n", " 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n", " 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n", " 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand',\n", " 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg', 'tsource_ndg',\n", " 'to_storage_ndg_MW', 'from_storage_ndg_MW', 'to_storage_vdg_MW',\n", " 'from_storage_vdg_MW', 'to_storage_MW', 'from_storage_MW',\n", " 'storage_level_MWh', 'hp_output_MWh', 'hp_input_MWh',\n", " 'to_storage_ndg_MWh', 'from_storage_ndg_MWh', 'to_storage_vdg_MWh',\n", " 'from_storage_vdg_MWh', 'to_storage_MWh', 'from_storage_MWh'],\n", " dtype='object')" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data.columns" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hp_output = s.storage_case.data['hp_output_MW'].round(2)\n", "demand_and_to_storage = (s.storage_case.data['Total demand'] + s.storage_case.data['to_storage_MW']).round(2)\n", "hp_output.equals(demand_and_to_storage)" ] }, { "cell_type": "code", "execution_count": 61, 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"text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pd.concat([hp_output, demand_and_to_storage], axis=1).resample('H').sum().iplot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Financials" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def calculate_sde_subsidy(c, s, case):\n", " hp_capacity = abs(case.assets['Heatpump VDG'].max_th_power) + abs(case.assets['Heatpump NDG'].max_th_power)\n", " case.full_load_hours = abs(case.data['hp_output_MWh'].sum() / hp_capacity)\n", "\n", " subsidized_hours = min(case.full_load_hours, 8000)\n", " subsidized_MWh = subsidized_hours * hp_capacity\n", "\n", " base_amount_per_MWh_th = round(c.sde_base_amount*0.173 + c.longterm_gas_price, 2)\n", " base_subsidy_amount = round(base_amount_per_MWh_th * subsidized_MWh, 2)\n", " long_term_gas_price_LHV = round(EURperHHV_to_EURperLHV(c.longterm_gas_price), 2)\n", " base_amount_gas = (2/3)*long_term_gas_price_LHV*0.9\n", " mean_ttf_price_LHV = round(EURperHHV_to_EURperLHV(case.data['Gas prices (€/MWh)'].mean()), 2)\n", " correction_amount_gas = max(mean_ttf_price_LHV, base_amount_gas)\n", " avoided_gas_consumption = subsidized_MWh/0.9\n", " correction_gas = round(correction_amount_gas * avoided_gas_consumption, 2)\n", "\n", " base_amount_co2 = (2/3)*c.longterm_co2_price\n", " avoided_co2_emission = avoided_gas_consumption * 0.226\n", " mean_ets_price = round(EURperHHV_to_EURperLHV(case.data['CO2 prices (€/ton)'].mean()), 2)\n", " correction_amount_co2 = max(base_amount_co2, mean_ets_price)\n", " correction_co2 = round(correction_amount_co2 * avoided_co2_emission, 2)\n", "\n", " sde_subsidy_corrected = max(base_subsidy_amount - (correction_gas + correction_co2), 0)\n", " sde_per_MWh_th = sde_subsidy_corrected / subsidized_MWh\n", " sde_per_MWh_e = sde_subsidy_corrected / case.data['hp_input_MWh'].abs().sum()\n", "\n", " case.sde_results = {\n", " 'base_amount': base_subsidy_amount,\n", " 'correction_gas': correction_gas,\n", " 'correction_co2': correction_co2,\n", " 'corrected_amount': sde_subsidy_corrected,\n", " 'sde_per_MWh_th': sde_per_MWh_th,\n", " 'sde_per_MWh_e': sde_per_MWh_e\n", " }\n", " return case" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n", " 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n", " 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n", " 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand',\n", " 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg', 'tsource_ndg',\n", " 'to_storage_ndg_MW', 'from_storage_ndg_MW', 'to_storage_vdg_MW',\n", " 'from_storage_vdg_MW', 'to_storage_MW', 'from_storage_MW',\n", " 'storage_level_MWh', 'hp_output_MWh', 'hp_input_MWh',\n", " 'to_storage_ndg_MWh', 'from_storage_ndg_MWh', 'to_storage_vdg_MWh',\n", " 'from_storage_vdg_MWh', 'to_storage_MWh', 'from_storage_MWh'],\n", " dtype='object')" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.storage_case.data.columns" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def collect_cashflows(c, s):\n", " s.hpcase.generate_electr_market_results(nom_col='hp_input_MWh', real_col='hp_input_MWh')\n", " s.storage_case.data['nomination_MWh'] = s.hpcase.data['hp_input_MWh']\n", " s.storage_case.generate_electr_market_results(nom_col='nomination_MWh', real_col='hp_input_MWh')\n", "\n", "# s.hpcase_sde.generate_electr_market_results(nom_col='hp_input_MWh', real_col='hp_input_MWh')\n", " \n", "# s.optcase1.data['DA Nom'] = s.hpcase.data['hp_input_MWh'] * c.day_ahead_buying_perc\n", "# s.optcase1.generate_electr_market_results(nom_col='DA Nom', real_col='hp_input_MWh')\n", " \n", "# s.afrr_case.data['POS'] = s.afrr_case.data['aFRR_up'].fillna(value=s.afrr_case.data['POS'])\n", "# s.afrr_case.data['DA Nom'] = s.hpcase.data['hp_input_MWh']\n", "# s.afrr_case.generate_electr_market_results(nom_col='DA Nom', real_col='hp_input_MWh')\n", "# s.afrr_case.add_cashflow('aFRR capacity fee (€)', c.afrr_capacity_fee * s.afrr_case.afrr_capacity)\n", " \n", " for case in [s.baseline]: #, s.optcase1, s.afrr_case]:\n", " case.add_gas_costs(gasvolumes_col='gb_input_MWh')\n", " case.add_co2_costs(volume_cols='gb_input_MWh', fuel='gas')\n", " case.add_eb_ode(commodity='gas', tax_bracket=c.tax_bracket_g)\n", " \n", " for case in [s.hpcase, s.storage_case]: #, s.hpcase_sde, s.optcase1, s.afrr_case]:\n", " \n", " case.add_eb_ode(commodity='electricity', tax_bracket=c.tax_bracket_e, cons_col='hp_input_MWh')\n", " case.add_grid_costs(\n", " power_MW_col='hp_input_MW',\n", " grid_operator=c.grid_operator,\n", " year=2020, \n", " connection_type=c.connection_type\n", " )\n", " \n", " for case in s.sde_cases:\n", " case = calculate_sde_subsidy(c=c, s=s, case=case)\n", " case.add_cashflow('SDE++ subsidy (€)', case.sde_results['corrected_amount'])\n", " return s\n", "\n", "s = collect_cashflows(c, s)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "ename": "TypeError", "evalue": "calculate_ebitda() missing 1 required positional argument: 'project_duration'", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[1;32mC:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_36740/2532175915.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 13\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 14\u001b[1;33m \u001b[0ms\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcalculate_financials\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32mC:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_36740/2532175915.py\u001b[0m in \u001b[0;36mcalculate_financials\u001b[1;34m(c, s)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mcalculate_financials\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mcase\u001b[0m \u001b[1;32min\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcases\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mcase\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcalculate_ebitda\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mcase\u001b[0m \u001b[1;32min\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhpcase\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mstorage_case\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;31m#, s.hpcase_sde, s.optcase1, s.afrr_case]:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mTypeError\u001b[0m: calculate_ebitda() missing 1 required positional argument: 'project_duration'" ] } ], "source": [ "def calculate_financials(c, s):\n", " for case in s.cases:\n", " case.calculate_ebitda()\n", "\n", " for case in [s.hpcase, s.storage_case]: #, s.hpcase_sde, s.optcase1, s.afrr_case]:\n", " case.calculate_business_case(\n", " project_duration=c.project_duration, \n", " discount_rate=c.discount_rate, \n", " baseline=s.baseline\n", " )\n", " \n", " return s\n", "\n", "s = calculate_financials(c, s)" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Visualisations" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "fig_demands_over_time = s.demand['Total demand'].resample('H').mean().iplot(\n", " title='Smurfit Kappa: Heat demand by Hour in MW', \n", " yTitle='MW', \n", " colors=recoygreen,\n", " asFigure=True,\n", " dimensions=(800, 400)\n", ")\n", "fig_demands_over_time" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "demands_fig = s.demand[['Tsource (VDG)', 'Tsink (VDG)', 'Tsource (NDG)', 'Tsink (NDG)']].resample('H').mean().iplot(\n", " kind='box',\n", " title='Smurfit Kappa: Source and Sink temperatures',\n", " color=recoygreen,\n", " yTitle='Temperature in degrees C',\n", " legend=False,\n", " asFigure=True,\n", " dimensions=(800, 400)\n", ")\n", "demands_fig" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "s.storage_case.data.columns" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "temp_comparison = pd.concat([s.storage_case.data[['tsource_ndg', 'tsource_vdg']], s.storage_case.data[['Tsource (NDG)', 'Tsource (VDG)']]], axis=1)\n", "temp_comparison.columns = ['Tsource (NDG) -after', 'Tsource (VDG) - after', 'Tsource (NDG) - before', 'Tsource (VDG) - before']\n", "temp_comparison.resample('15T').mean().iplot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "s.storage_case.data[['tsource_ndg', 'tsource_vdg']].idxmin()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "s.storage_case.data.loc['2019-01-04 07:45:00']" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "temp_comparison.resample('15T').min()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "test_hp = Heatpump(\n", " name='Heatpump for Testing',\n", " max_th_power=1,\n", " min_th_power=0.3,\n", " cop_curve=cop_curve\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "# Tsrc_vdg, Tsnk_vdg, Tsrc_ndg, Tsnk_ndg = s.demand[['Tsource (VDG)', 'Tsink (VDG)', 'Tsource (NDG)', 'Tsink (NDG)']].mean().to_list()\n", "# mean_gas_price = (s.optcase1.data['Gas prices (€/MWh)'].mean() \n", "# + s.eb_ode_g \n", "# + s.optcase1.data['CO2 prices (€/MWh)'].mean()\n", "# )\n", "\n", "# max_gas_price = (s.optcase1.data['Gas prices (€/MWh)'].max() \n", "# + s.eb_ode_g \n", "# + s.optcase1.data['CO2 prices (€/MWh)'].max()\n", "# )\n", "\n", "# min_gas_price = (s.optcase1.data['Gas prices (€/MWh)'].min() \n", "# + s.eb_ode_g \n", "# + s.optcase1.data['CO2 prices (€/MWh)'].min()\n", "# )\n", "\n", "# Tsrc_vdg_min, Tsnk_vdg_min, Tsrc_ndg_min, Tsnk_ndg_min = s.demand[['Tsource (VDG)', 'Tsink (VDG)', 'Tsource (NDG)', 'Tsink (NDG)']].min().to_list()\n", "# Tsrc_vdg_max, Tsnk_vdg_max, Tsrc_ndg_max, Tsnk_ndg_max = s.demand[['Tsource (VDG)', 'Tsink (VDG)', 'Tsource (NDG)', 'Tsink (NDG)']].max().to_list()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "import plotly.graph_objs as go\n", "def create_load_trace(gas_price, Tsnk, Tsrc, name):\n", " loads = []\n", " eprices = list(range(1000))\n", " for eprice in eprices:\n", " _, load = test_hp.set_opt_load(\n", " electricity_cost=eprice + s.eb_ode_e,\n", " alt_heat_price=gas_price / 0.9,\n", " demand=1, \n", " Tsink=Tsnk,\n", " Tsource=Tsrc\n", " )\n", " loads.append(load)\n", " trace = go.Scatter(x=eprices, y=loads, name=name)\n", " return trace" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "# import plotly.graph_objects as go\n", "# import numpy as np\n", "\n", "# fig = go.Figure()\n", "\n", "# configs = {\n", "# 'mean': [mean_gas_price, Tsnk_vdg, Tsrc_vdg],\n", "# 'unfav_gas': [min_gas_price, Tsnk_vdg, Tsrc_vdg],\n", "# 'fav_gas': [max_gas_price, Tsnk_vdg, Tsrc_vdg],\n", "# 'unfav_all': [min_gas_price, Tsnk_vdg_max, Tsrc_vdg_min],\n", "# 'fav_all': [max_gas_price, Tsnk_vdg_min, Tsrc_vdg_max],\n", "# }\n", "\n", "# for name, config in configs.items():\n", "# trace = create_load_trace(*config, name)\n", "# fig.add_trace(trace)\n", "\n", "# fig.update_layout(title='Switch prices for different configurations')\n", "# fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "date = s.baseline.data.index[0].strftime('%Y-%m-%d')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "fig_steamboiler = s.baseline.data[['Total demand', 'output_MW_th']].abs().loc[date, :].iplot(\n", " subplots=True, \n", " title=f'Steamboiler only case on {date}',\n", " subplot_titles=['Total demand', 'Steam boiler output (MW)'],\n", " legend=False,\n", " dimensions=(800, 400),\n", " colors=[recoydarkblue, recoygreen], \n", " asFigure=True,\n", " shape = (2, 1)\n", ")\n", "fig_steamboiler" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "fig_heatpump = s.hpcase.data[['Total demand', 'hp_output_MW']].abs().loc[date, :].iplot(\n", " subplots=True, \n", " title=f'Heatpump only case on {date}', \n", " subplot_titles=['Total demand', 'Heatpump output (MW)'],\n", " legend=False,\n", " dimensions=(800, 400),\n", " colors=[recoydarkblue, recoygreen], \n", " asFigure=True,\n", " shape = (2, 1)\n", ")\n", "fig_heatpump" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "# fig_optcase = s.optcase1.data[['hp_output_MW', 'gb_output_MW', 'NEG']].loc[date, :].iplot(\n", "# subplots=True, \n", "# title=f'Hybrid case on {date}',\n", "# subplot_titles=['Heatpump output (MW)', 'Steam boiler output (MW)', 'Imbalance price (€/MWh)'],\n", "# legend=False,\n", "# dimensions=(800, 600),\n", "# colors=[recoydarkblue, recoygreen, recoyred],\n", "# asFigure=True,\n", "# shape=(3,1)\n", "# )\n", "# fig_optcase" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "# date = '2019-09-04'\n", "\n", "# fig_optcase2 = s.optcase1.data[['hp_output_MW', 'gb_output_MW', 'NEG']].loc[date, :].iplot(\n", "# subplots=True, \n", "# title=f'Hybrid case on {date}',\n", "# subplot_titles=['Heatpump output (MW)', 'Steam boiler output (MW)', 'Imbalance price (€/MWh)'],\n", "# legend=False,\n", "# dimensions=(800, 600),\n", "# colors=[recoydarkblue, recoygreen, recoyred],\n", "# asFigure=True,\n", "# shape=(3,1)\n", "# )\n", "# fig_optcase2" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "report = ComparisonReport(\n", " cases=s.optcases, \n", " kind='electr_market_results',\n", ")\n", "report.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "casereport = ComparisonReport(cases = s.cases, kind='ebitda_calc', baseline=s.baseline, comparison='relative')\n", "casereport.show(presentation_format=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "BusinessCaseReport(s.hpcase).show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "#price chart\n", "from copy import deepcopy\n", "\n", "data = deepcopy(s.baseline.data)\n", "data = data[data.columns[:2]]\n", "data[data.columns[1]] = MWh_gas_to_tonnes_CO2(data[data.columns[1]])\n", "data = data.rename(columns={\"CO2 prices (€/ton)\": \"CO2 prices (€/MWh)\"})\n", "\n", "data.resample('D').mean().iplot(dimensions=(800, 300), title='Gasprices vs. CO2 prices', colors=recoycolors)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "# #price chart\n", "# from copy import deepcopy\n", "\n", "# s.optcase1.data['DAM'].resample('D').mean().iplot(dimensions=(800, 300), title='Electricity Prices', colors=recoycolors)\n", "\n", "# _source_output = s.optcase1.data[['hp_output_MWh', 'gb_output_MWh']].resample('M').sum()\n", "# _total_output = _source_output.sum(axis=1)\n", "# _data = _source_output.divide(_total_output, axis=0).rename(\n", "# columns={'hp_output_MWh':'Heat pump', 'gb_output_MWh':'Gasboiler'}\n", "# ) * 100\n", "\n", "# production_fig = _data.iplot(\n", "# kind='bar',\n", "# barmode='stack',\n", "# colors=[recoydarkblue, recoygreen],\n", "# title='Hybrid case: Heat production per Month by Source in % share',\n", "# yTitle='Share of production in %',\n", "# dimensions=(600, 400),\n", "# asFigure=True\n", "# )\n", "\n", "# production_fig = production_fig.update_layout(legend_traceorder=\"reversed\")\n", "# production_fig" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "report = ComparisonReport(s.cases, kind='capex').report\n", "report = report[report.index.str.contains('CAPEX')].T\n", "capex_fig = report.iplot(\n", " kind='bar', \n", " barmode='relative',\n", " colors=recoycolors,\n", " title='CAPEX by Casestudy',\n", " yTitle='CAPEX in €',\n", " dimensions=(600, 400),\n", " asFigure=True,\n", ")\n", "\n", "capex_fig = capex_fig.update_layout(legend_traceorder=\"reversed\")\n", "capex_fig" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "cashflow_report = ComparisonReport(cases = s.cases, kind='cashflows')\n", "\n", "fig = cashflow_report.report.T.iplot(\n", " kind='bar',\n", " barmode='relative',\n", " colors=recoycolors,\n", " title='OPEX breakdown',\n", " asFigure=True,\n", " yTitle='€',\n", " dimensions=(800, 600)\n", ")\n", "\n", "ebitda_report = ComparisonReport(cases=s.cases, kind='ebitda_calc')\n", "scat = go.Scatter(\n", " mode='markers',\n", " y=ebitda_report.report.loc['EBITDA (€)', :].values, \n", " x=ebitda_report.report.columns, \n", " line=go.scatter.Line(color=recoydarkgrey),\n", " marker=dict(\n", " color=recoydarkgrey,\n", " size=20,\n", " line=dict(\n", " color=recoydarkgrey,\n", " width=3\n", " ),\n", " symbol='line-ew'\n", " ),\n", " name='EBITDA (€)'\n", ")\n", "fig.add_trace(scat)\n", "fig" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# ebitda_report.show(comparison='relative')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_series = SingleFigureComparison(s.cases, 'ebitda', label='EBITDA').report\n", "ebitda_graph = _series.iplot(\n", " kind='bar',\n", " title='Yearly EBITDA by Casestudy in €',\n", " colors=recoygreen,\n", " dimensions=(600, 400), \n", " yTitle='EBITDA in €',\n", " asFigure=True,\n", " yrange=[_series.min() * 1.2, max(_series.max() * 2, 0)]\n", ")\n", "\n", "ebitda_graph.update_traces(\n", " text=_series.values/1000_000, \n", " textposition='outside', \n", " texttemplate=\"%{text:.1f}M €\", \n", ")\n", "\n", "ebitda_graph" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_series = SingleFigureComparison(s.optcases, 'npv', label='NPV').report\n", "\n", "npv_graph = _series.iplot(\n", " kind='bar',\n", " title='NPV by Casestudy in €',\n", " colors=recoygreen,\n", " dimensions=(600, 400), \n", " yTitle='NPV in €',\n", " asFigure=True,\n", " yrange=[0, _series.max() * 1.1]\n", ")\n", "\n", "npv_graph.update_traces(\n", " text=_series.values/1000_000, \n", " textposition='outside', \n", " texttemplate=\"%{text:.1f}M €\", \n", ")\n", "\n", "npv_graph" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "irr_report = (SingleFigureComparison(s.optcases, 'irr', label='IRR').report * 100)\n", "irr_fig = irr_report.iplot(\n", " kind='bar',\n", " title='IRR by Casestudy in %',\n", " colors=recoygreen,\n", " dimensions=(600, 400),\n", " yTitle='IRR in %',\n", " asFigure=True,\n", " yrange=[0, irr_report.max() * 1.2]\n", ")\n", "\n", "irr_fig.update_traces(\n", " text=irr_report.values, \n", " textposition='outside', \n", " texttemplate=\"%{text:.0f} %\", \n", ")\n", "\n", "irr_fig" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_series = (SingleFigureComparison(s.optcases, 'spp', label='Simple Payback Time').report)\n", "spt_fig = _series.iplot(\n", " kind='bar',\n", " title='Simple Payback Time by Casestudy in Years',\n", " colors=recoygreen,\n", " dimensions=(600, 400),\n", " yTitle='Years',\n", " asFigure=True,\n", " yrange=[0, _series.max() * 1.2]\n", ")\n", "\n", "spt_fig.update_traces(\n", " text=_series.values, \n", " textposition='outside', \n", " texttemplate=\"%{text:.1f} years\", \n", ")\n", "\n", "spt_fig " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "mean_cops = (SingleFigureComparison(s.optcases, 'mean_cop', label='COP').report)\n", "cop_fig = mean_cops.iplot(\n", " kind='bar',\n", " title='Mean COP by Casestudy',\n", " colors=recoygreen,\n", " dimensions=(600, 400),\n", " yTitle='COP',\n", " asFigure=True,\n", " yrange=[0, mean_cops.max() * 1.2]\n", ")\n", "\n", "cop_fig.update_traces(\n", " text=mean_cops.values, \n", " textposition='outside', \n", " texttemplate=\"%{text:.1f}\", \n", ")\n", "\n", "cop_fig " ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Sensitivity analysis" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "We have agreed that for the sensitivity analysis we will vary the following key assumptions in the flex-model:\n", "1. Market prices of gas and electricity. We will use the actual prices for 2019, the actual prices for 2020.\n", "2. aFRR prices +/- 30%\n", "3. CAPEX\n", "4. CO2 price\n", "5. Tsource +/- 10 degrees Celsius\n", "6. Tsink\n", " * Roam off the peak / lower pressure\n", " * Stabalize / running average per hour/ 2 hours\n", "7. __A scenario with a constraint on grid capacity and a scenario without grid capacity as a constraint__\n", "8. Energy Tax and ODE +/- 30%" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def setup():\n", " _c = Config()\n", " s = setup_model(c=_c)\n", " return s\n", "\n", "def routine(c, s):\n", " s = load_data(c=c, s=s)\n", " s = create_and_assign_assets(c=c, s=s)\n", " #s = preprocessing(c=c, s=s)\n", " s = run_optimisation(c=c, s=s)\n", " #s = postprocessing(c=c, s=s)\n", " s = collect_cashflows(c=c, s=s)\n", " s = calculate_financials(c=c, s=s)\n", " return s" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%time _s = setup()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%time result = routine(c, _s)\n", "npv = result.hpcase.npv\n", "npv" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# sensitivity:Storage temperature\n", "values = range(80, 120, 10)\n", "param = 'storage_temperature'\n", "kpis = ['npv','irr','spp', 'mean_cop']\n", "\n", "sens = SensitivityAnalysis(c, _s, routine, param, values, kpis)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='volume(m3)',\n", " yTitle='NPV in €',\n", " yrange=[output.min().min()*1.1, 0],\n", " title='Sensitivity: Storage volume',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity: Water storage volume" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "(_s.demand['MW (VDG)'] + _s.demand['MW (NDG)']).to_list()[:3]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%time _s = setup()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "values = range(100, 500, 100)\n", "param = 'storage_volume'\n", "kpis = ['npv','irr','spp']\n", "\n", "sens = SensitivityAnalysis(c, _s, routine, param, values, kpis)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "[case.name for case in s.cases][1:]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='volume(m3)',\n", " yTitle='NPV in €',\n", " yrange=[output.min().min()*1.1, 0],\n", " title='Sensitivity: Storage volume',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('irr', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='volume(m3)',\n", " yTitle='irr in %',\n", " yrange=[output.min().min()*1.1, 0],\n", " title='Sensitivity: IRR',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='volume(m3)',\n", " yTitle='years',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: payback time',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('mean_cop', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='volume(m3)',\n", " yTitle='COP',\n", " yrange=[output.min().min()*1.1, 0],\n", " title='Sensitivity: COP',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity: CAPEX per MW storage" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "values = range(4_000, 10_000, 2_000)\n", "param = 'storage_capex_per_MW'\n", "kpis = ['npv', 'irr', 'spp', 'mean_cop']\n", "\n", "sens = SensitivityAnalysis(c, _s, routine, param, values, kpis)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='CAPEX',\n", " yTitle='NPV in Euro',\n", " yrange=[output.min().min()*1.1, 0],\n", " title='Sensitivity: NPV in euro',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='CAPEX/MW',\n", " yTitle='years',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: payback time',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity: CAPEX per MWh storage" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "values = range(1_000, 5_000, 1000)\n", "param = 'storage_capex_per_MWh'\n", "kpis = ['npv', 'spp', 'mean_cop']\n", "\n", "sens = SensitivityAnalysis(c, _s, routine, param, values, kpis)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='CAPEX/MWh',\n", " yTitle='NPV',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: NPV in Euro',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='CAPEX/MWh',\n", " yTitle='years',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: Payback time',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity: threshold price" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "values = range(10, 60, 10)\n", "param = 'threshold'\n", "kpis = ['npv', 'spp', 'mean_cop']\n", "\n", "sens = SensitivityAnalysis(c, _s, routine, param, values, kpis)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='threshold',\n", " yTitle='NPV',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: NPV in Euro',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='threshold',\n", " yTitle='years',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: SPP in years',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "output = sens.single_kpi_overview('mean_cop', case_names=[case.name for case in s.cases][1:])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='threshold',\n", " yTitle='COP',\n", " yrange=[output.min().min()*1.2, 0],\n", " title='Sensitivity: SOP',\n", " colors=recoycolors,\n", " dimensions=(600, 400),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Heat Pump CAPEX" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0.7, 1, 1.3, 2]\n", "for value in values:\n", " _c = Config()\n", " _c.hp_capex *= value\n", " configs[value*100] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%%time\n", "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "\n", "sens_capex = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='CAPEX factor (%)',\n", " yTitle='Payback Period in years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Heat Pump CAPEX (€)',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_capex" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: CO2 prices" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "mean = 24.86\n", "co2_prices = [10, 25, 50, 100]\n", "\n", "for price in co2_prices:\n", " _c = Config()\n", " multiplier = price / mean\n", " _c.co2_price_multiplier = multiplier\n", " configs[price] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%%time\n", "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('ebitda', case_names=['Baseline', 'Heatpump + SDE', 'Heatpump only', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Mean CO2 price in €',\n", " yTitle='EBITDA in €',\n", " yrange=[output.min().min() * 1.1, 0],\n", " title='Sensitivity: CO2 prices > EBITDA',\n", " colors=[recoypurple, recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_co2_spp = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Mean CO2 price in €',\n", " yTitle='Payback Period in Years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: CO2 prices',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_co2_spp" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Mean CO2 price in €',\n", " yTitle='NPV in €',\n", " yrange=[output.min().min() * 10, output.max().max()*1.1],\n", " title='Sensitivity: CO2 prices > NPV',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Gas prices" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0.7, 1, 1.3]\n", "for value in values:\n", " _c = Config()\n", " _c.gas_price_multiplier = value\n", " configs[value * 100] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%%time\n", "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Gas price factor (%)',\n", " yTitle='NPV in €',\n", " yrange=[output.min().min()*1.5, output.max().max()*1.1],\n", " title='Sensitivity: Gas prices',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Day Ahead buying amount" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0, 0.5, 1]\n", "for value in values:\n", " _c = Config()\n", " _c.day_ahead_buying_perc = value\n", " configs[value * 100] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Volume in %',\n", " yTitle='NPV in €',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Volume bought on Day-Ahead market in %',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Electricity prices" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0.7, 1, 1.3]\n", "for value in values:\n", " _c = Config()\n", " _c.e_price_multiplier = value\n", " configs[value * 100] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_eprices = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Electricity price factor in %',\n", " yTitle='Payback Period in years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Electricity prices',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_eprices" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Electricity price volatility" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0.7, 1, 1.3]\n", "for value in values:\n", " _c = Config()\n", " _c.e_price_volatility_multiplier = value\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_evol = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Volatility factor',\n", " yTitle='Payback period in years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: E-price volatility',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_evol" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: aFRR capacity fee" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [10_000, 25_000, 50_000]\n", "for value in values:\n", " _c = Config()\n", " _c.afrr_capacity_fee = value\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_affr_fee = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='aFRR capacity fee in €/MW',\n", " yTitle='Payback Period in years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: aFRR capacity fee',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_affr_fee" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Energy tax" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [0.7, 1, 1.3]\n", "for value in values:\n", " _c = Config()\n", " _c.energy_tax_multiplier = value\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Factor',\n", " yTitle='NPV in €',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Energy taxes',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Tsource" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [-25, -10, 0, 10, 25]\n", "for value in values:\n", " _c = Config()\n", " _c.tsource_delta = value\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.loc[-25, 'Heatpump only'] = np.nan\n", "sens_tsource = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Tsource delta',\n", " yTitle='Payback Period in years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Tsource',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_tsource" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('mean_cop', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Tsource delta',\n", " yTitle='COP',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Tsource > Mean COP',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Tsink" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_s = setup()\n", "configs = {}\n", "values = [-25, -10, 0, 10, 25]\n", "for value in values:\n", " _c = Config()\n", " _c.tsink_delta = value\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "sens = SensitivityAnalysis(_s, routine, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_tsink = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Tsink delta',\n", " yTitle='Payback Period in Years',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Tsink',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_tsink" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "output = sens.single_kpi_overview('mean_cop', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "sens_tsink_cop = output.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Tsink delta',\n", " yTitle='COP',\n", " yrange=[0, output.max().max()*1.1],\n", " title='Sensitivity: Tsink > Mean COP',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400),\n", " asFigure=True\n", ")\n", "sens_tsink_cop" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Sensitivity: Time period" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def routine2(c, s):\n", " s = setup_model(c=c)\n", " s = load_data(c=c, s=s)\n", " s = create_and_assign_assets(c=c, s=s)\n", " s = run_optimisation(c=c, s=s)\n", " s = collect_cashflows(c=c, s=s)\n", " s = calculate_financials(c=c, s=s)\n", " return s" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "configs = {}\n", "start_values = ['2018-01-01', '2019-01-01', '2019-11-01']\n", "\n", "for value in start_values:\n", " _c = Config()\n", " _c.start = value\n", " _c.end = (pd.to_datetime(value) + timedelta(days=364)).strftime('%Y-%m-%d')\n", " configs[value] = _c" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "%%time\n", "sens = SensitivityAnalysis(_s, routine2, configs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "result = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n", "result.iplot(\n", " mode='lines+markers',\n", " symbol='circle-dot',\n", " size=10,\n", " xTitle='Start date',\n", " yTitle='NPV in €',\n", " yrange=[0, result.max().max()*1.1],\n", " title='Sensitivity: Modelled time period',\n", " colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n", " dimensions=(600, 400)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Report" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "renderer = 'svg'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# __Presentation Flexible Heatpumps__\n", "\n", "ENCORE meeting: 17-12-2020\n", "Mark Kremer\n", "\n", " \n", " \n", " \n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## __Central question:__\n", "#### *Can Smurfit Kappi shorten the Payback Period of an investment in a Heatpump by operating it in a flexible manner?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Flexible operations on imbalance market__\n", "\n", "Benefiting from fluctuations in electricity market prices by ramping the asset up- and down (increasing and decreasing the electricity consumption)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_example_1 = s.hpcase.data[['DAM']].iloc[:60*24].iplot(\n", " title='Day-Ahead prices on arbitrary day in €/MWh',\n", " yrange=[-100, 200],\n", " colors=recoygreen, \n", " yTitle='Price in €/MWh',\n", " xTitle='Time of Day',\n", " dimensions=(800, 400),\n", " asFigure=True\n", ")\n", "\n", "fig_example_1.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Imbalance prices are very volatile, with prices below -100 and above 200 €/MWh on a daily basis." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_example_2 = s.hpcase.data[['DAM', 'POS']].rename(columns={'POS':'IMB'}).iloc[:60*24].iplot(\n", " title='Imbalance Prices on arbitrary day in €/MWh',\n", " colors=[recoygreen, recoydarkblue], \n", " yTitle='Price in €/MWh',\n", " xTitle='Time of Day',\n", " dimensions=(800, 400),\n", " asFigure=True\n", ")\n", "\n", "fig_example_2.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is possible to benefit from these fluctiations, if you have __flexibility__\n", "* Storage options\n", "* Hybrid installations (e.g. with gas-powered assets)\n", "\n", "In this case we are looking at a __hybrid set-up of a Steamboiler and a Heatpump__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Simulations & mathematical modelling__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* To answer the central question, we have build a simulation model\n", "* The model simulates the operations of a hybrid set-up of a Heatpump and a Steamboiler over the timespan of 1 years (on a 1 minute basis)\n", "* The goal of the model is to minimize the operating costs, in order to reach the shortest Payback Period\n", "* We are taking into account all major investment and operating costs, including:\n", " * Asset CAPEX\n", " * Commodity costs for gas and electricity\n", " * Energy taxes\n", " * Grid transport costs\n", " * SDE++ subsidies\n", " * Maintenance costs\n", " * CO2 allowances\n", "* The output of the model is a Payback Period for an investment in an heatpump, in different scenario's" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Casestudies__\n", "5 main scenario's" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "1. Steamboiler only (baseline, baseload)\n", "2. Heatpump only (stand-alone, baseload, without SDE++)\n", "3. Heatpump + SDE\n", "4. Heatpump + SDE + Steam boiler (hybrid set-up) on Imbalance market\n", "5. Heatpump + SDE + Steam boiler (hybrid set-up) on aFRR (secondary reserve market)\n", "\n", "Besides that, we modelled 11 sensitivities:\n", "* Heatpump CAPEX\n", "* Gas & CO2 prices\n", "* Electricity prices & volatility\n", "* Energy taxes\n", "* Bidding strategies\n", "* Source temperatures (affecting COP)\n", "* Sink temperatures (affecting COP)\n", "* Time period (2018, 2019, 2020)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Smurfit Kappa case__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is based on the context of Smurfit Kappa (paper factory)\n", "* Currently a Steamboiler is providing the 20-30 MW of average heat demand for drying processes\n", "* We add a 31 MW heatpump (to make sure it can cover entire demand)\n", "* The steam demand must be fulfilled at all times, by either the heatpump or the gasboiler\n", "* The heatpump and steam boiler can both respond very quickly (within minutes) within a flexible range (30%-100% for heatpump)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_demands_over_time.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Source temperatures of around 65 degrees C\n", "* Sink temperatures of 125-170 degrees C \n", "* Average Temperature lift of about 85 degrees C" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "demands_fig.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Heat pump__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "COP roughly between 4 and 1.5, depending on load, Tsource and Tsink" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def cop_curve(Tsink, Tsource):\n", " Tsink += 273\n", " Tsource += 273\n", "\n", " c1 = 0.267 * Tsink / (Tsink - Tsource)\n", " c2 = 0.333 * Tsink / (Tsink - Tsource)\n", " \n", " return Polynomial([c2, c1])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sourceT = 63\n", "sinkT = 140\n", "cop_curve(sourceT, sinkT)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_cop_curve.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Optimisation__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* At each moment in time, we calculate the cheapest option to produce the required heat. \n", "* Taking into account the COP fluctuations, due to changing Tsource and Tsink\n", "* Taking into account fluctuating market prices (electricity, gas, CO2)\n", "* We are predicting real-time electricity prices using our forecasting models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Some example days:__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Steamboiler only is following demand pattern" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_steamboiler.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar pattern for heatpump only case" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_heatpump.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hybrid set-up is responding to price fluctuactions, steam boiler taking over at high prices" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_optcase.show(renderer=renderer)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig_optcase2.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Business case__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "CAPEX of around 6 M€ (200.000 €/MW), which need to be earned back by savings in operating costs" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "capex_fig.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Savings in EBITDA compared to the baseline are about 1.5 mln € without subsidy, and up to 4.5 mln € including subsidy\n", "* The optimisation on aFRR allows for a 30-40% improvement in EBITDA" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ebitda_graph.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resulting in a Payback Period of 5.4 years without subsidy, and 1.8 years with subsidy" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "spt_fig.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The added value of the optimisation is limited (in absolute terms), which is explained by the high COP of the heatpump" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "production_fig.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The heatpump is filling in 95-98 % of the demand. \n", "* Because of its high COP, it is almost always cheaper to run than the steam boiler\n", "* Switch price is on average around 90€/MWh (excluding subsidies)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Sensitivities__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If CAPEX is 200%, subsidy is needed to keep a good Payback Time" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_capex.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Subsidies are protecting the business case againsts low CO2 prices" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_co2_spp.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The businesscase is quite sensitive to Tsource and Tsink differences, because they directly impact the COP\n", "* The Smurtfit Kappa case, with a temperature lifte of about 85 degrees C on average, looks favorable. \n", "* When the temperature lift is higher, the COP will decrease and the business case will degrade" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_tsource.show(renderer=renderer)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_tsink.show(renderer=renderer)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_tsink_cop.show(renderer=renderer)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sens_eprices.show(renderer=renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### __Conclusions__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The business case for a Heat Pump seems favourable\n", "* Flexible operation, using aFRR, can improve the operational results by 30-40%\n", "* However, this only results in a marginal improvement of the business case\n", "* SDE++ has a very favourable effect on the business case, but is not critical\n", "* The business case is notably sensitive to the temperature lift required, and is therefore strongly dependent on the specific use case." ] } ], "metadata": { "interpreter": { "hash": "fea6e7ab4c0ed1d184e153838ac4b2d24a0985a5f17e99f4f437a114b66796b8" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" 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