{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "#### Imports" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "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, WaterStorage\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": 32, "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 = 0.3\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", " 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", " Tref = 273 #K\n", " Cp = 4190 #J/kgK\n", " \n", " tank_max_power=10,\n", " tank_min_power=-10,\n", " tank_roundtrip_eff=0.90,\n", " tank_energy_density = 50 * 10e-3,\n", " tank_volume = 500,\n", " tank_lifetime = 25,\n", " tank_temperature = 368, #K\n", " min_storagelevel = 5,\n", " max_storagelevel = 23,\n", " tank_capex_per_MW = 3_000,\n", " tancapex_per_MWh = 10_000\n", "\n", "c = Config()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "273" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c.Tref" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "class Store():\n", " pass" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Model set-up" ] }, { "cell_type": "code", "execution_count": 35, "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\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\framework.py:35: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n", "c:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\framework.py:35: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n", "c:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\framework.py:35: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n", "c:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\framework.py:35: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n", "c:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\framework.py:35: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n", "C:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_17920/4233922362.py:3: FutureWarning:\n", "\n", "Argument `closed` is deprecated in favor of `inclusive`.\n", "\n" ] }, { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def setup_model(c):\n", " s = Store()\n", " \n", " s.time_fw = TimeFramework(start=c.start, end=c.end)\n", " mipf = Mipf(\n", " start=s.time_fw.start, \n", " end=s.time_fw.end, \n", " tidy=True, \n", " 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.hp_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, s.hp_storage_case]\n", " s.sde_cases = [s.hpcase_sde, s.optcase1, s.afrr_case]\n", " \n", " s.demand = load_demand_data(c, s)\n", " return s\n", "\n", "s = setup_model(c)\n", "s.optcases" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_17920/4233922362.py:3: 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Tsource (VDG)Tsink (VDG)MW (VDG)Tsource (NDG)Tsink (NDG)MW (NDG)Total demand
2019-01-01 00:00:00+01:0064.990143.3600.0020.510147.6200.000.00
2019-01-01 00:01:00+01:0064.985143.0890.0020.387147.6420.000.00
2019-01-01 00:02:00+01:0064.980142.8180.0020.264147.6640.000.00
2019-01-01 00:03:00+01:0064.975142.5470.0020.141147.6860.000.00
2019-01-01 00:04:00+01:0064.970142.2760.0020.018147.7080.000.00
........................
2019-12-31 23:55:00+01:0065.050129.97017.0467.070129.3505.6922.73
2019-12-31 23:56:00+01:0065.050129.97017.0467.070129.3505.6922.73
2019-12-31 23:57:00+01:0065.050129.97017.0467.070129.3505.6922.73
2019-12-31 23:58:00+01:0065.050129.97017.0467.070129.3505.6922.73
2019-12-31 23:59:00+01:0065.050129.97017.0467.070129.3505.6922.73
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525600 rows × 7 columns

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" ], "text/plain": [ " Tsource (VDG) Tsink (VDG) MW (VDG) \\\n", "2019-01-01 00:00:00+01:00 64.990 143.360 0.00 \n", "2019-01-01 00:01:00+01:00 64.985 143.089 0.00 \n", "2019-01-01 00:02:00+01:00 64.980 142.818 0.00 \n", "2019-01-01 00:03:00+01:00 64.975 142.547 0.00 \n", "2019-01-01 00:04:00+01:00 64.970 142.276 0.00 \n", "... ... ... ... \n", "2019-12-31 23:55:00+01:00 65.050 129.970 17.04 \n", "2019-12-31 23:56:00+01:00 65.050 129.970 17.04 \n", "2019-12-31 23:57:00+01:00 65.050 129.970 17.04 \n", "2019-12-31 23:58:00+01:00 65.050 129.970 17.04 \n", "2019-12-31 23:59:00+01:00 65.050 129.970 17.04 \n", "\n", " Tsource (NDG) Tsink (NDG) MW (NDG) Total demand \n", "2019-01-01 00:00:00+01:00 20.510 147.620 0.00 0.00 \n", "2019-01-01 00:01:00+01:00 20.387 147.642 0.00 0.00 \n", "2019-01-01 00:02:00+01:00 20.264 147.664 0.00 0.00 \n", "2019-01-01 00:03:00+01:00 20.141 147.686 0.00 0.00 \n", "2019-01-01 00:04:00+01:00 20.018 147.708 0.00 0.00 \n", "... ... ... ... ... \n", "2019-12-31 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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": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "demand.describe()" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Load in data" ] }, { "cell_type": "code", "execution_count": 40, "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": 41, "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": 42, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def load_data(c, s):\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", " 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": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Assets" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### COP curve" ] }, { "cell_type": "code", "execution_count": 43, "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": 44, "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": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cop_curve(140, 13)" ] }, { "cell_type": "code", "execution_count": 45, "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": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cop_curve(140, 73)" ] }, { "cell_type": "code", "execution_count": 46, "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": 47, "metadata": {}, "outputs": [], "source": [ "#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=13)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=99)" ] }, { "cell_type": "code", "execution_count": 49, "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": 50, "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": 51, "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, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 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4vLwancFSL2Hqn0O2reNf/t7vP/aFyubGrKw/M9ZGt3bV1qT+FjmbFQX1c80IqeyA2dqVYo36yVPfZltrGtW70bjrz8lpdh5RKPY2da5nl82nPFxazcFG57o0YtNsHO0Ovc7eR2zOdqodZ573lWa3cZl8tWf01PM272nPfegDYl4zIVb2mP5s5lpo2WP6zerY6IY0l/eg+lo0u/Wx2blA9f9e5J0/vmMmHgIQgAAEIAABCEAgHgInRvbEg7zxSFzPXtB+XjY/XdYeA/khAAEIQAACEIAABCAAAQhAAAIQsCeA7LFnpdoS2aOKl+QQgAAEIAABCEAAAhCAAAQgAIETQwDZE0mpkT2RFIJhQAACEIAABCAAAQhAAAIQgAAEjjkBZM8xLyDDhwAEIAABCEAAAhCAAAQgAAEIQAACtQSQPcwHCEAAAhCAAAQgAAEIQAACEIAABCDQQQSQPR1UTJ4KBCAAAQhAAAIQgAAEIAABCEAAAhBA9jAHIAABCEAAAhCAAAQgAAEIQAACEIBABxFA9nRQMXkqEIAABCAAAQhAAAIQgAAEIAABCEAA2cMcgAAEIAABCEAAAhCAAAQgAAEIQAACHUQA2dNBxeSpQAACEIAABCAAAQhAAAIQgAAEIAABZA9zAAIQgAAEIAABCEAAAhCAAAQgAAEIdBABZE8HFZOnAgEIQAACEIAABCAAAQhAAAIQgAAEkD3MAQhAAAIQgAAEIAABCEAAAhCAAAQg0EEEkD0dVEyeCgQgAAEIQAACEIAABCAAAQhAAAIQQPYwByAAAQhAAAIQgAAEIAABCEAAAhCAQAcRQPZ0UDF5KhCAAAQgAAEIQAACEIAABCAAAQhAANnDHIAABCAAAQhAAAIQgAAEIAABCEAAAh1EANnTQcXkqUAAAhCAAAQgAAEIQAACEIAABCAAAWQPcwACEIAABCAAAQhAAAIQgAAEIAABCHQQAWRPBxWTpwIBCEAAAhCAAAQgAAEIQAACEIAABJA9zAEIQAACEIAABCAAAQhAAAIQgAAEINBBBJA9HVRMngoEIAABCEAAAhCAAAQgAAEIQAACEED2MAcgAAEIQAACEIAABCAAAQhAAAIQgEAHEUD2dFAxeSoQgAAEIAABCEAAAhCAAAQgAAEIQADZwxyAAAQgAAEIQAACEIAABCAAAQhAAAIdRADZ00HF5KlAAAIQgAAEIAABCEAAAhCAAAQgAAFkD3MAAhCAAAQgAAEIQAACEIAABCAAAQh0EAFkTwcVk6cCAQhAAAIQgAAEIAABCEAAAhCAAASQPcwBCEAAAhCAAAQgAAEIQAACEIAABCDQQQSQPR1UTJ4KBCAAAQhAAAIQgAAEIAABCEAAAhBA9jAHIAABCEAAAhCAAAQgAAEIQAACEIBABxFA9nRQMXkqEIAABCAAAQhAAAIQgAAEIAABCEAA2cMcgAAEIAABCEAAAhCAAAQgAAEIQAACHUQA2dNBxeSpQAACEIAABCAAAQhAAAIQgAAEIAABZA9zAAIQgAAEIAABCEAAAhCAAAQgAAEIdBABZE8HFZOnAgEIQAACEIAABCAAAQhAAAIQgAAEkD3MAQhAAAIQgAAEIAABCEAAAhCAAAQg0EEEkD0dVEyeCgQgAAEIQAACEIAABCAAAQhAAAIQQPYwByAAAQhAAAIQgAAEIAABCEAAAhCAQAcRQPZ0UDF5KhCAAAQgAAEIQAACEIAABCAAAQhAANnDHIAABCAAAQhAAAIQgAAEIAABCEAAAh1EANnTQcXkqUAAAhCAAAQgAAEIQAACEIAABCAAAWQPcwACEIAABCAAAQhAAAIQgAAEIAABCHQQAWRPBxWTpwIBCEAAAhCAAAQgAAEIQAACEIAABJA9zAEIQAACEIAABCAAAQhAAAIQgAAEINBBBJA9HVRMngoEIAABCEAAAhCAAAQgAAEIQAACEED2MAcgAAEIQAACEIAABCAAAQhAAAIQgEAHEUD2dFAxeSoQgAAEIAABCEAAAhCAAAQgAAEIQADZwxyAAAQgAAEIQAACEIAABCAAAQhAAAIdRADZ00HF5KlAAAIQgAAEIAABCEAAAhCAAAQgAAFkj8ccuL+4lkSfmRr1yEJoKAJLK5syOtIvvT09oVKSx5HA/v6BLK1uyKmJEccMhIUksLm9I/t7IiPD/SHTksuRwMrapgwO9Et/H+9VjgiDhR0ciDxcXpPTk/w7HgyqR6LtnV3ZqezK2MigRxZCQxFY29iW3p5uGRzoC5WSPB4EHiyty6mJYenq6vLIQmgIApXdPdnY3JGJsaEQ6cgBATUCyB4PtMgeD3gKocgeBaiOKZE9juCUwpA9SmAd0yJ7HMEphCF7FKB6pET2eMBTCEX2KED1SIns8YAXOBTZExgo6dQIIHs80CJ7POAphCJ7FKA6pkT2OIJTCkP2KIF1TIvscQSnEIbsUYDqkRLZ4wFPIRTZowDVIyWyxwNe4FBkT2CgpFMjgOzxQIvs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyRwGqR0pkjwc8hVBkjwJUj5TIHg94gUORPYGBkk6NALLHAy2yxwOeQiiyRwGqY0pkjyM4pTBkjxJYx7TIHkdwCmHIHgWoHimRPR7wFEKRPQpQPVIiezzgBQ5F9gQGSjo1AsgeD7TIHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYQhexSgeqRE9njAUwhF9ihA9UiJ7PGAFzgU2RMYKOnUCCB7PNAiezzgKYQiexSgOqZE9jiCUwpD9iiBdUyL7HEEpxCG7FGA6pES2eMBTyEU2aMA1SMlsscDXuBQZE9goKRTI4Ds8UCL7PGApxCK7FGA6pgS2eMITikM2aME1jEtsscRnEIYskcBqkdKZI8HPIVQZI8CVI+UyB4PeIFDkT2BgZJOjQCyxwMtsscDnkIoskcBqmNKZI8jOKUwZI8SWMe0yB5HcAphyB4FqB4pkT0e8BRCkT0KUD1SIns84AUORfYEBko6NQLIHg+0yB4PeAqhyB4FqI4pkT2O4JTCkD1KYB3TInscwSmEIXsUoHqkRPZ4wFMIRfYoQPVIiezxgBc4FNkTGCjp1AggezzQIns84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqREtnjAU8hFNmjANUjJbLHA17gUGRPYKB16W6t3pO5xXm5vjQv/80z79PtrMOzI3s8Cozs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyRwGqR0pkjwc8hVBkjwJUj5TIHg94gUORPeGA3l55U+aWjdgpy/WlheTPm5VtGeztl9nJknz2H//zcJ2dwEzIHo+iI3s84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqREtnjAU8hFNmjANUjJbLHA17gUGSPG9Dbq/dTqbM8L3NL83JtcV62dlOxc2VyRq5MTMvVyZJcmZqRi2Nn3Toh6jECyB6PCYHs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyRwGqR0pkjwc8hVBkjwJUj5TIHg94gUORPe2BmhU7RuqYrVjXEsGzkKzYGejtkysTMzI7aX6VEsnztnHETnuibi2QPW7ckihkjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYQiexSgeqRE9njACxyK7Hkc6J1kxc68XFs2W7Hm5frigmzsbkl/T19V6phVOzPJip1L4+cCV4N0rQggezzmB7LHA55CKLJHAapjSmSPIzilMGSPEljHtMgeR3AKYcgeBageKZE9HvAUQpE9ClA9UiJ7POAFDj3Jsqe8+uCR1DFiZ2lB1iub0t/TW12pM52u3Jk6L5dYsRN45uVPh+zJz+wwAtnjAU8hFNmjANUxJbLHEZxSGLJHCaxjWmSPIziFMGSPAlSPlMgeD3gKocgeBageKZE9HvACh54U2VNee5CcrZNuxyrL3OIjsXPFbMGaSMXO1VMlVuwEnmOh0iF7PEgiezzgKYQiexSgOqZE9jiCUwpD9iiBdUyL7HEEpxCG7FGA6pES2eMBTyEU2aMA1SMlsscDXuDQTpQ9d1YfHEodsxVrrrpip6+nN12pMzEts1PpGTuXJ6YDEyWdFgFkjwdZZI8HPIVQZI8CVMeUyB5HcEphyB4lsI5pkT2O4BTCkD0KUD1SIns84CmEInsUoHqkRPZ4wAscetxlj1mxk5ytU70V6/rivKxVNqW3u6fmjJ30VqwnETuBZ0+x6ZA9HryRPR7wFEKRPQpQHVMiexzBKYUhe5TAOqZF9jiCUwhD9ihA9UiJ7PGApxCK7FGA6pES2eMBL3DocZI982sPH0kdcyvW0oKs7mxIb3e3zE6eTw9OnkxX7SB2Ak+UCNIhezyKgOzxgKcQiuxRgOqYEtnjCE4pDNmjBNYxLbLHEZxCGLJHAapHSmSPBzyFUGSPAlSPlMgeD3iBQ2OVPQvrizKXXHOeXnlubsVa2VlPVuykUicVO1cTsTMTmArpYiSA7PGoCrLHA55CKLJHAapjSmSPIzilMGSPEljHtMgeR3AKYcgeBageKZE9HvAUQpE9ClA9UiJ7POAFDo1B9mQrdhKpk5yxM5+s2Onp7k7FTvXg5EzyBEZAumNCANnjUShkjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYQiexSgeqRE9njACxxatOwxK3YOz9hZTLdimRU73V2p2DErdcyKnWTlzsSMdHV1BX7GpDuuBJA9HpVD9njAUwhF9ihAdUyJ7HEEpxSG7FEC65gW2eMITiEM2aMA1SMlsscDnkIoskcBqkdKZI8HvMChmrLn7vqSXF82QiddrWN+X95eTwTO1eS68xm5MpVeeT47dV7QOoGL22HpkD0eBUX2eMBTCEX2KEB1TInscQSnFIbsUQLrmBbZ4whOIQzZowDVIyWyxwOeQiiyRwGqR0pkjwe8wKGhZM+9jaVU6pgzdhaN2CnL0rZZsdNVPWMnXbFjDk+eZcVO4CqejHTIHo86I3s84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqREtnjAU8hFNmjANUjJbLHA17gUBfZc299KZU6yY1Y6YodI3a6pOtw+9XsqZlE6pjtWGaLFg8I+BJA9ngQRPZ4wFMIRfYoQHVMiexxBKcUhuxRAuuYFtnjCE4hDNmjANUjJbLHA55CKLJHAapHSmSPB7zAoe1kz72N5VTqVFfsmO1YS9trySjS7VclmU3O2Em3ZZlDlXlAQIMAsseDKrLHA55CKLJHAapjSmSPIzilMGSPEljHtMgeR3AKYcgeBageKZE9HvAUQpE9ClA9UiJ7POAFDq2VPW8asVO96jy59nxpXha3qmJn0qzUKdWcsVOSHlbsBK4G6VoRQPZ4zA9kjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYQiexSgeqRE9njACxR6f3MlkTnXFu/I3z0oyxtrd+Xh1mqSPT042dyGlZ6xY/67t7snUM+kgYAbAWSPG7ckCtnjAU8hFNmjANUxJbLHEZxSGLJHCaxjWmSPIziFMGSPAlSPlMgeD3gKocgeBageKZE9HvAcQu9vrCS3YmU3YhnJk4mdyxPn5OLIWXnq7EW5MmG2ZCF2HBATUgABZI8HZGSPBzyFUGSPAlTHlMgeR3BKYcgeJbCOaZE9juAUwpA9ClA9UiJ7POAphCJ7FKB6pET2eMBrE/pgcyWVOskZO+lWrAfVFTuXx6dl9lS6Uic5Z2diRuSgSzY2d2RibEhvUGSGQAACyB4PiMgeD3gKocgeBaiOKZE9juCUwpA9SmAd0yJ7HMEphCF7FKB6pET2eMBTCEX2KED1SIns8YBXE/pgc/WR1FmeTySPkT3mcXnCHJpspE62Heu89DXYitXugOYwIyULBPwJIHs8GCJ7POAphCJ7FKA6pkSJP9AUAAAgAElEQVT2OIJTCkP2KIF1TIvscQSnEIbsUYDqkRLZ4wFPIRTZowDVIyWyJz88s+0qu+Y83Y5VFnPujnlcGj8ns8kZO6Xq7zPS39Nr1QmyxwoTjSIggOxpU4Sbt27LZ7/woqyupaeqm0epdE4+/alPSGWvK/nvM1OjEZSSISB74pkDyJ54amFGguyJqx7InnjqgeyJpxZmJMieuOqB7ImrHsie1vUwN2CZ27DmFs12rHQrVq3YSVbsJAcnp6t3Bnr6nAuM7HFGR2DBBJA9FrLnK994ST7+G8/LpYsXHmvNyp6CZ2ub7pA98dQD2RNPLZA9cdXCjAbZE09NkD3x1ALZE1ctzGiQPXHVBNnzqB5G7JhVOoeHJy/Pi7kC3TzeNnb28IydK5PTydXnA73uYqfRLED2xPXaYDTNCSB7kD0d8/pA9sRTSmRPPLVA9sRVC2RPXPVA9sRVD1b2xFUPZE9c9TipsmfJrNhJDk6uHqC8VJZ7VbFzcewJmZ06n56zU73y3GfFjm3FkT22pGh31ASQPRayp3YbV7aFa2J8jKvXj3r21vWP7ImnIMieeGqB7ImrFsieuOqB7ImrHsieuOqB7ImrHidB9ixtrx+esZOs3Fmel3vrS0khLo6dlStTRuqY7VjmrJ0ZGeztP5IiIXuOBDudOhBA9uSE9tLL35H7Dx7Ixz7ygqxtVJLokaGjeaPJOfSOb765VZH+/h7p6e7u+Oca+xPcPziQre2KDA/y2oihVpXdXdk/EBnoszt4MIYxd/IYzGujt7dHent4rzrqOh+IyMbmtowMDRz1UOhfRHb39mV3b08G+8NuuQCuG4Htyq50d3VJX2+PWwKighJY39yR4aE+6ZL0zNDj/ljZ3pDrK2W5sXxXXl9dkBvLC/LmZroV6/zoGXlyfFqenJhOfr9sxI7HGTuhWe3t78tOZU+GBnivCs22Pt8Q3yW8ECN7cuIzBzYb4fPJj3748IBmJmFOiErNzU8E+/t6pKurM/4RVMJUTNoDka2digzyj2AxvNv0Yr5Ayb5Ibx9yIYaC7FR2pbenR7q7ea868nrwXnXkJagdwN7evpiVoX19yIUYClOp7CXvUz2I6RjKkfwQLRGhx/CfjpWd9UTmvL56N/n9xuqjM3bOj5yWy5MluTx2Ti4bsTM+LUNHtGLHttDmfWp3d0/6+/khmi0z13YsqnAll8Yhe3LyayR7uI0rJ0Sl5mzjUgLrkJZtXA7QFEO4jUsRrkNqDmh2gKYUwjYuJbCOadnG5QhOKYxtXEpgHdMel21cRuzMLS3I9cWyXDdn7SzNy8L6YvKsz4+dkdnJUvWMnRm5OmW2Yh2/lZVs43KcxIQVTgDZ0wb5D/78L+Ty5YuHN3GZVT3m8fxzH+TMnsKna+sOkT3xFATZE08tzEiQPXHVA9kTTz2QPfHUwowE2RNXPZA9cdUjRtmzurNRveo8lTrmjJ2FtYeHYic9ONlInfPJledDfcdP7DSaBcieuF4bjKY5AWRPm9nxwx//VD73xa8dtnrXM08n5/UMDgwgeyJ7ZSF74ikIsieeWiB74qqFGQ2yJ56aIHviqQWyJ65amNEge+KqyVHLntXKhlxfXJC5ZMVOeu15tmKnNHZGriYHJ5eSg5OvTE3LcO9gXAADjgbZExAmqVQJIHs88N5fXEui2cblATFgKLInIEzPVMgeT4CBw1nZExioZzpkjyfAgOHInoAwA6RiZU8AiAFTIHsCwgyQqkjZY1bsGLGTSR2zHWs+W7EzejrdhlXdjnVlclpG+oYCPMPjkwLZc3xqddJHiuzxmAHIHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYQhexSgeqRE9njAUwhF9ihA9UipJXvWshU7S/PVM3bKUq6KndLoqarUSVfszE6dPLHTqGTIHo+JTGihBJA9HriRPR7wFEKRPQpQHVMiexzBKYUhe5TAOqZF9jiCUwhD9ihA9UiJ7PGApxCK7FGA6pEyhOxZr2zKXLJix5yxkx6gfGf1QTKqUnXFjpE6V812rBO4Yse2PMgeW1K0O2oCyB6PCiB7POAphCJ7FKA6pkT2OIJTCkP2KIF1TIvscQSnEIbsUYDqkRLZ4wFPIRTZowDVI2Ve2bO+u1U9Y+dOInXMGTvltVTszIyeSlfqZNuxpmZk9IRtxfIohSB7fOgRWyQBZI8HbWSPBzyFUGSPAlTHlMgeR3BKYcgeJbCOaZE9juAUwpA9ClA9UiJ7POAphCJ7FKB6pGwle8yKnevmunOzFWtpXq4tl6VcXbEzPTJVlTrnk7N2zIqdsf5hj5EQiuxhDhwXAsgej0ohezzgKYQiexSgOqZE9jiCUwpD9iiBdUyL7HEEpxCG7FGA6pES2eMBTyEU2aMA1SNlJns297bTw5OrUsf8fmf1fpI5FTtmC9bM4a1Y4/0jHr0S2ogAsod5cVwIIHs8KoXs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyRwGqR0pkjwc8hVBkjwLUnCk3K9vJFqxrS/Pyt/duye2NN+X26puHYueR1JmRq5MlVuzk5OvaHNnjSo64ogkgezyII3s84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqREtnjAU8hFNmjALVFyq3d7UTqmO1Yc+bw5KWy3K6u2Dk3MikXhs/K25+4ID83ZbZjTQsrdoqtT21vyJ6jY0/P+Qgge/Lxeqw1sscDnkIoskcBqmNKZI8jOKUwZI8SWMe0yB5HcAphyB4FqB4pkT0e8BRCkT0KUKspN3d3qkInPWNnbnlebq+kK3bODk8m27DMSp0rU+l2rImBEcl7QLPe6MmM7GEOHBcCyB6PSiF7POAphCJ7FKA6pkT2OIJTCkP2KIF1TIvscQSnEIbsUYDqkRLZ4wFPIRTZEwaqETvJNedmxY658nxxXm6t3kuSPzE8kUqd5ODk9PfJgcZn7CB7wtQjRBZkTwiK5CiCALLHgzKyxwOeQiiyRwGqY0pkjyM4pTBkjxJYx7TIHkdwCmHIHgWoHimRPR7wFEKRPfmhbhmxY4ROshXL/F6WN1ZSsXN2eCIVOhMzyYodc5ByM7HTqGdkT/56aEUge7TIkjc0AWSPB1Fkjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYQie1pD3d6rpFuwkl/lZMXOGzUrdhKpMzkjs1Ol5OrzyYFRryohe7zwBQ1G9gTFSTJFAsgeD7jIHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYQhexSgeqRE9njAUwhF9jyCurNXkWvVrVhG8JhfN1fuJg3ODI2nUmeylIgdI3mmBv3ETqNyInsUJrljSmSPIzjCCieA7PFAjuzxgKcQiuxRgOqYEtnjCE4pDNmjBNYxLbLHEZxCGLJHAapHSmSPBzyF0JMqe7IVO9eXF5JtWHOLj8TO6aHxVOokZ+ykv04NjinQf2tKZE8hmK06QfZYYaJRBASQPR5FQPZ4wFMIRfYoQHVMiexxBKcUhuxRAuuYFtnjCE4hDNmjANUjJbLHA55C6EmQPTt7u9UzdtLtWGbFzo3lhYRmKnbS27DSM3bOyymFFTu2pUP22JLSb4fs0WdMD2EIIHs8OCJ7POAphCJ7FKA6pkT2OIJTCkP2KIF1TIvscQSnEIbsUYDqkRLZ4wFPIbTTZE9lf7d6zblZsTMvcw/vyI3qVqzTQ2NVqWNW7aS3Yp0uaMWObemQPbak9Nshe/QZ00MYAsgeD47IHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYQhexSgeqRE9njAUwg9zrJnd38vOTR5bindimXkzuvVFTtm21V2cHLy+8RMsoon9geyJ54KIXviqQUjaU0A2eMxQ5A9HvAUQpE9ClAdUyJ7HMEphSF7lMA6pkX2OIJTCEP2KED1SIns8YCnEHpcZE8qdubl+rKROgvJrVjm+nPzMAclJyt1zDas5HasUnKg8nF8IHviqRqyJ55aMBJkj9ocQPaooXVKjOxxwqYShOxRweqcFNnjjE4lENmjgtUpKbLHCZtaELJHDa1T4hhljxE7RuQkN2ItLshcIngeiR0jc7LDk43kOa5ip1HBkD1O01glCNmjgpWkCgRY2eMBFdnjAU8hFNmjANUxJbLHEZxSGLJHCaxjWmSPIziFMGSPAlSPlMgeD3gKoUcte/YO9lOpszyf3Ig1t1g+XLEzaVbsHB6cnJ6x88TQhAKFeFIie+KpBbInnlowktYEkD0eMwTZ4wFPIRTZowDVMSWyxxGcUhiyRwmsY1pkjyM4hTBkjwJUj5TIHg94CqFFyp79gwOZW7qTbsdaXKiu3inLgYhMDow8OmNnwtyKVZInhjtb7DQqJ7JHYZI7pkT2OIIjrHACyB4P5MgeD3gKocgeBaiOKZE9juCUwpA9SmAd0yJ7HMEphCF7FKB6pET2eMBTCNWSPfsH+9UzdqpixxykvDwvBwcHMjEwnFxxbs7YMVeemy1ZZ4cnFZ7d8UuJ7ImnZsieeGrBSFoTQPZ4zBBkjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYSGkD1mxU56xk75cMWOWb1jhM94/4jMGqlTvRHL/H5uZErhmXRGSmRPPHVE9sRTC0aC7FGbA8geNbROiZE9TthUgpA9KlidkyJ7nNGpBCJ7VLA6JUX2OGFTC0L2qKF1SpxX9hzIweEZO8nhyUvzydYsI3zGB0ZkdmI6vRXLrNwxYocVO7nqguzJhUu1MbJHFS/JAxJgZY8HTGSPBzyFUGSPAlTHlMgeR3BKYcgeJbCOaZE9juAUwpA9ClA9UiJ7POAphLaTPenByWWZM9edm5U7S/NiDlU2K3auTE2nV54n153PyDQrdrwrhOzxRhgsAbInGEoSKRNA9ngARvZ4wFMIRfYoQHVMiexxBKcUhuxRAuuYFtnjCE4hDNmjANUjJbLHA55CaK3sMSInuebcHJ5cvSHLXIM+1j8sVyarYsdsx5osIXYUamFSInuUwDqkRfY4QCPkSAggezywI3s84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqREtnjAS9gaHLGzuK8/OzBHbm5cldeX5kXI3ZG+4Zk9pQ5OLmUXns+OSMzo6cC9kyqVgSQPfHMD2RPPLVgJK0JIHs8ZgiyxwOeQiiyRwGqY0pkjyM4pTBkjxJYx7TIHkdwCmHIHgWoHimRPR7wHENfX66u1DE3Yi2Zc3bKqdjpH5ZLY+eSc3Z+/syFVOyMIHYcMQcJQ/YEwRgkCbInCEaSFEAA2eMBGdnjAU8hFNmjANUxJbLHEZxSGLJHCaxjWmSPIziFMGSPAlSPlMgeD3gWoTdW7srcwzvJ7VjpOTvzUtnflRGzYuexM3ZKUho9Je3O7LHokiYBCSB7AsL0TIXs8QRIeGEEkD0eqJE9HvAUQpE9ClAdUyJ7HMEphSF7lMA6pkX2OIJTCEP2KED1SIns8YBXF3qjumLH3IiVnbGzs2fEzmD1jJ30RixzgPL5sdMNO0b2hKtHiEzInhAUw+RA9oThSBZ9AsgeD8bIHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYQhexSgeqRE9rjBM+fqzC3Oy3VzgHJ1xc72XkWGewdldio9W8dInauTM1IaO2PdCbLHGlUhDZE9hWC26gTZY4WJRhEQQPZ4FAHZ4wFPIRTZowDVMSWyxxGcUhiyRwmsY1pkjyM4hTBkjwJUj5TInvbwjNhJVuokvxaSG7K2dysyXF2xk0idKXOAcklKTVbstO8lbYHssSVVTDtkTzGcbXpB9thQok0MBJA9HlVA9njAUwhF9ihAdUyJ7HEEpxSG7FEC65gW2eMITiEM2aMA1SMlsudxeG+s3pO5h+XqGTup4DErdob6Bg5X6pirzs3KnfM5VuzYlgjZY0uqmHbInmI42/SC7LGhRJsYCJxo2XPz1m357BdelF/5p/9E3v/suxvWI2uzurZ2+Pel0jn59Kc+IZW9ruT/nZkajaGWJ34MyJ54pgCyJ55amJEge+KqB7Innnoge+KphRnJSZY9b6zcq67WSW/FMocob+3uyGDfgFydmJFZsxWruh3rwvgThRQO2VMIZutOkD3WqNQbInvUEdNBIAInVvbUSpznfvUDLWXPV77xknz8N56XSxcvPIadlT2BZmGgNMieQCADpEH2BIAYMAWyJyDMAKmQPQEgBkqB7AkEMlCakyJ7bq3ek+uL8zK3nG7Fur5Uls3dHRnq7Zd0pc60XJlIV+xcLEjsNCohsifQxA6UBtkTCGSANMieABBJUQiBEyl7lldW5UsvflP+2Qd/Rf7oj1+RZ37haWRPIdNNtxNkjy7fPNmRPXlo6bdF9ugzztMDsicPLd22yB5dvnmzd6Lsub3yZlXqmAOUzZXn87JZ2U7EzhUjdiamE6lzdbIkRa3Ysa0LsseWVDHtkD3FcLbpBdljQ4k2MRA4cbLHiJ7PfP7L8tyHPiBv/7kr8tWvf6ut7DFbvbJtXNkWronxMWFlTwxT+NEYkD3x1APZE08tzEiQPXHVA9kTTz2QPfHUwozkuMue26v3ZW7xTiJ1zIqda0tmK9a2DBqxM2G2YU0nUufK1IxcHDsbF/wGo0H2xFUiZE889UD2xFMLRtKawImSPVvb24nced97f1ne+Y6nJPvvVit76vG99PJ35P6DB/Kxj7wgaxuV5K9HhgeYZxEQ2NzakYH+Xunu7o5gNCd7CAcHB2LqMTzEayOGmVDZ3ZWDfZH+/t4YhnPix7C1vSN9vb3S08N71ZFPhgOR9a1tGeG96shLYQawu7sne3v7MjDQF8V4Wg3iztp9ubGyIDeWF+R68vt8shWrv7tPnpw4l8idy+bX+LRcHCvmjJ3Q0Ix86+nukt7entCpyedAYH1zW0YG+0W60jNDeRwdgb39fans7MqgqQcPVQJDx+DfA1UAnslPlOzJVvWUy3ffgq3VuT21jc1ZP0b4fPKjHz48oJlJ6DkLA4Vv7+xJX1+3dPOPYCCi7mnMT8u3K7syiFxwhxgwcndvX0xN+nqRCwGxOqfaqewlosd8ieJxtAQOzGqS7YoM8mHyaAtR7X1v/0DMl6j+yORCef2B3Fi5KzdW5qu/L8jG7rb0dfcl27Auj5+Ty2Pp78dhxY5tsc3qha6uLulFTNsiU223tb0rAwO9wr8cqpitkpsV7BUjpvsQoVbAPBqxqMIDnoicKNlTj8plZU8j2cNtXH6TMFQ027hCkfTPwzYuf4YhM7CNKyRN/1xs4/JnGCoD27hCkQyTJ4ZtXOXVBzK3bG7ESs/Yub64IOuVTRno6avehpWesTM7dV4ujce/FcunMmzj8qEXPpZtXOGZumZkG5crOeKKJoDsqTuz55VXvy+vvvaD5Gp1cy7PD/78L+Ty5YuHN3GZVT3m8fxzH+TMnqJna5v+kD3xFATZE08tzEiQPXHVA9kTTz2QPfHUwoykaNlTXnsg1xbL1TN2jNiZl/XdLenv6a2esWOuPC/J7NSMXBo/FxesAkaD7CkAco4ukD05YCk3RfYoAyZ9MALInjay54c//ql87otfOwT+rmeeTs7rGRwYQPYEm4ZhEiF7wnAMkQXZE4JiuBzInnAsQ2RC9oSgGCYHsicMx1BZNGVPee2hzC2Vk2vOk1uxqit2+rp705U61V/mz5cnpkM9pWOdB9kTV/mQPfHUA9kTTy0YSWsCJ1r2+E4ObuPyJRg2HtkTlqdPNmSPD73wscie8Ex9MiJ7fOiFjUX2hOXpmy2U7DErdq5Xt2El27EWF2StsiG93T3pSp3J6XTlzlRJnkTsNC0bssd3RoeNR/aE5emTDdnjQ4/YIgkgezxoI3s84CmEInsUoDqmRPY4glMKQ/YogXVMi+xxBKcQhuxRgOqR0kX2zK89TFfqJHKnnIid1Z1HYie78tys2DG/eNgTQPbYsyqiJbKnCMp2fSB77DjR6ugJIHs8aoDs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyRwGqR8p2smdhfTGROnNLd9KVO0bsVFfspFKnuh1rakaenEDseJQiCUX2+BIMG4/sCcvTJxuyx4cesUUSQPZ40Eb2eMBTCEX2KEB1TInscQSnFIbsUQLrmBbZ4whOIQzZowDVI2Wt7EnFjjljJ70Va25xPlmx09PVXZU6JbkyNS2zEyVW7HgwbxWK7FEC65gW2eMITiEM2aMAlZQqBJA9HliRPR7wFEKRPQpQHVMiexzBKYUhe5TAOqZF9jiCUwhD9ihAdUhpxI6ROn/38I5cXyzLjbV7srK9Lt1dXTI7eb4qd9Irz80Knq6uLodeCMlLANmTl5hue2SPLt882ZE9eWjR9igJIHs86CN7POAphCJ7FKA6pkT2OIJTCkP2KIF1TIvscQSnEIbsUYDaJuXd9aX0bJ1kO9Z88vtyIna6k8OSL42elbc/caF69XkpET48joYAsudouDfrFdkTTz2QPfHUgpG0JoDs8ZghyB4PeAqhyB4FqI4pkT2O4JTCkD1KYB3TInscwSmEIXsUoNakvLexlMica2Y71mJ6gPLy9kYicA7P2JlKt2HNTszITmVPdiq7MjYyqDswslsRQPZYYSqsEbKnMNRtO0L2tEVEg0gIIHs8CoHs8YCnEIrsUYDqmBLZ4whOKQzZowTWMS2yxxGcQhiyJxzUNzeWU6mTrNZJf1/aXpcu6ao7Yyc9SNms5Kl/tDugOdxoyWRDANljQ6m4Nsie4li36wnZ044Qfx8LAWSPRyWQPR7wFEKRPQpQHVMiexzBKYUhe5TAOqZF9jiCUwhD9rhBvbexnAqdZXMj1rzMLc/L0tZakmx2srpSZ9KcsVNKVvD0dL9V7DTqGdnjVg+tKGSPFlm3vMgeN24aUcgeDark1CCA7PGgiuzxgKcQiuxRgOqYEtnjCE4pDNmjBNYxLbLHEZxCGLKnPVSzYieROtXzdcwNWYtVsZNuv0pvxcq2ZfV297RP2qQFsscZnUogskcFq3NSZI8zuuCByJ7gSEmoRADZ4wEW2eMBTyEU2aMA1TElsscRnFIYskcJrGNaZI8jOIUwZM/jUO9vrlQPTr6TXHVuJM+h2JmYkStTMzJrbsRKbsUqSa/lih3b0iF7bEkV0w7ZUwxn216QPbak9Nshe/QZ00MYAsgeD47IHg94CqHIHgWojimRPY7glMKQPUpgHdMiexzBKYSdZNnzYHNFzCqd7EYss3Ln4dZqQtncijWbHJxsVuyUEsHjs2LHtnTIHltSxbRD9hTD2bYXZI8tKf12yB59xvQQhkBhsuell78jr772Z8mon33PL8rzz30wzDM4wizIniOE36BrZE889UD2xFMLMxJkT1z1QPbEU4+TIntSsZOu1MluxXqwmYqdy+PnZPbU+WQb1mwid2akr6f3SIqE7DkS7E07RfbEVQ9kTzz1QPbEUwtG0ppAIbLnlVe/Lz/6m5/Ixz7yggwODIgRP6XStLz/2Xcf6/oge+IqH7Innnoge+KpBbInrlqY0SB74qlJJ8oeI3FSqZMeoGwkj5E9idiZMIcmV7diJX8uSf8RiZ1GswDZE89rw4wE2RNXPZA98dQD2RNPLRjJEcuere1t+erXvyXve+8vyzvf8VQympu3bifC55Mf/bBMjI8d2xohe+IqHbInnnoge+KpBbInrloge+Kqx3GXPWbbldl+NbdY3Y61/EjsXDIrdpIzdtLbscyKnZjEDrInrtdCo9Ege+KqEbInnnoge+KpBSM5YtmzvLIqX3rxm8m2rUsXLySjafT/jmOhkD1xVQ3ZE089kD3x1ALZE1ctkD1x1eM4yR5zULI5Yye96rycSB5zoLJ5pGInkzrTyRk7/T19ccG2GA0reywgFdgE2VMgbIuukD0WkApqguwpCDTdeBNQ38bVTPZ85vNfluc+9IHD1T7ez+QIEiB7jgB6iy6RPfHUA9kTTy2QPXHVAtkTVz1ilT1L2+syt3jn0eHJy/NirkA3j7eNnZXZU6XqVefTydXnA73HT+w0mgnInrheH8ieuOqB7ImnHsieeGrBSFoTQPZ4zBBkjwc8hVBkjwJUx5TIHkdwSmEc0KwE1jEtZ/Y4glMIi0H2LJkVO4cHJ8/L9aWy3MvEzvjZdAvWZElmq+ftDPb2K5CIIyWyJ446ZKNA9sRVD2RPPPVA9sRTC0YSgewxq3jK5bstR1IqnZNPf+oTx+oMH2RPXC8vZE889UD2xFMLMxJkT1z1QPbEU4+iZY9ZsZOdsWOkjpE82Yqdi2Nn5Yo5Y8fcijWVnrHTyWKn0SxA9sTz2jAjQfbEVQ9kTzz1QPbEUwtGcsSyp5MLgOyJq7rInnjqgeyJpxbInrhqYUaD7ImnJpqyZ3l7Q64vl2XuYSp1jOS5t7GUPPkL409UpU62HWtGhjp4xY5txZE9tqSKaYfsKYazbS/IHltS+u2QPfqM6SEMAfVtXGGGGWcWZE9cdUH2xFMPZE88tUD2xFULZE9c9Qgle1Z2zBk76TXnRuoYyXN3vSp2xs6khydPmAOUp+WqWbHTNxAXiEhGg+yJpBDVYSB74qoHsieeeiB74qkFI2lNoFDZY65bf/W1P3tsRM++5xeTm7qO4wPZE1fVkD3x1APZE08tkD1x1QLZE1c9XGTPijk8eXkhuRXLSB0jdxbWF5MnZlbsmO1X5pydZDvW5IwMIXasi47ssUZVSENkTyGYrTtB9lijUm+I7FFHTAeBCBQie8yNXObcnnNnzsjHPvKCDA6kP9Ha2t6Wr379W3L3/v1jd16PGT+yJ9AsDJQG2RMIZIA0yJ4AEAOm4MyegDADpGIbVwCIgVK0kz1mxc71xQW5vjwvc4vl5PdM7JwfO1MjdUqInQA1QfYEgBgwBbInILjr4L0AACAASURBVMwAqZA9ASAGSoHsCQSSNOoECpE9ZkWPeTRbwdPu79UpOHaA7HEEpxSG7FEC65AW2eMATTEE2aMI1yE1sscBmlJIrexZ3dmQ60sLh1Jnbql8KHZKY6eTK86vJtuxZuTK1LQM9w4qjerkpkX2xFV7ZE9c9UD2xFMPZE88tWAkrQmoy55s9c773vvL8s53PNVwND/88U/lT773p4+t+jkOhUP2xFUlZE889UD2xFMLMxJkT1z1QPYcfT3WKpsy93Be5pbL8tM3b8mdjTdlfu1hMrDS6OlHUie59nxGRvoQO0VUDdlTBGX7PpA99qyKaInsKYKyXR/IHjtOtDp6Auqyx2zh+tKL30xW9Vy6eKHhM75567aY1T2f/OiHuXr96OfEsR0Bsiee0iF74qkFsieuWpjRIHuKrclatmInOTg5PUC5vPYgFTtjp+XC0BPy1NmLyQHKs1PTMtI3VOwA6e2QALInrsmA7ImrHsieeOqB7ImnFoykNQF12cPKHqZgUQSQPUWRbt8Psqc9oyJbsLKnSNrt+0L2tGfk2mLdrNg5PGPnTiJ3yjUrdswqHbMNyxycbG7GGukblofLa3J6ctS1S+ICEkD2BIQZIBWyJwDEgCmQPQFheqZC9ngCJLwwAuqyxzyTdmfytPv7wmjk7IhtXDmBKTdH9igDzpEe2ZMDVgFNkT0FQM7RBbInB6wWTdcrW8kqnezgZPPnO9UVOzOjp1KpM1VKbsW6MjUjow1W7LQ7oDnMSMliSwDZY0uqmHbInmI42/aC7LElpd8O2aPPmB7CEChE9nAbV5hikaU1AWRPPDME2RNPLcxIkD1x1QPZk78eG7tbyRk72Tasa2bFzur9JNH0yFRV6pSS83XMip2x/mGrTpA9VpgKa4TsKQy1VUfIHitMhTVC9hSGum1HyJ62iGgQCYFCZE/2XF959fvy8re/+9hTf/Y9v9j0lq5IGDUdBit74qoQsieeeiB74qkFsieuWpjRIHta12QjWbGzkKzaubZcTn6/UxU72YqdbDuWuRVrvH/EucjIHmd0KoHIHhWszkmRPc7oVAKRPSpYnZIie5ywEXQEBAqVPUfw/FS7RPao4s2dHNmTG5laALJHDa1TYlb2OGFTC0L2PEK7WdmuSp304GRz3XkmdsyKnUdSZybZjjU+4C52GhUU2aM2zZ0SI3ucsKkFIXvU0DolRvY4YVMJQvaoYCWpAgFkjwdUZI8HPIVQZI8CVMeUyB5HcEphyB4lsI5pT6rs2apsi9l+NbeYbccqy+3qip1zI5PVM3bOHx6e7LNix7Y0yB5bUsW0Q/YUw9m2F2SPLali2iF7iuFs0wuyx4YSbWIgUIjs+eGPfyqf++LX5Hd/+7fkne946rHn3ervYgDUagzInrgqhOyJpx7InnhqYUaC7ImrHidB9mzu7lQPTjbbscoytzwvt1feTApxdnjysYOTzUHKE4FX7NhWHNljS6qYdsieYjjb9oLssSVVTDtkTzGcbXpB9thQok0MBAqRPe1u22r39zGAMmOoF1PInlgqk44D2RNPPZA98dQC2RNXLcxoOk32bBmxs1SW68vpOTtm5c6t1Xup2BmZTG/DSg5OTg9QnjwisdNoJiB74np9IHviqgeyJ656IHviqQeyJ55aMJLWBNRlT3YT13Mf+sBbVvVkQzMS5eU/+K58+lOfkInxsShrlokeM7hshRKyJ65SIXviqQeyJ55aIHviqsVxlz1G7BihY8TOXCJ27sit1WzFzkQqdKpXnZvfpwZH4ytAzYiQPXGVB9kTVz2QPXHVA9kTTz2QPfHUgpFEIHu+9OI3kxu3Ll280HA0N2/dFrO655Mf/XCUsicb3wv//L+Sr3zjW5KJK2RPXC8vZE889UD2xFMLZE9ctThOsmd7t5JcdX7NrNoxgmdxXt6orth5YniiesZOulpndrIU1Yod26oje2xJFdMO2VMMZ9tekD22pIpph+wphrNNL8geG0q0iYGA+sqere1t+erXvyXve+8vt1zZ8yff+1P52EdekMGBgRi4HI7BiJ6vfOMl+fhvPC+TExPymc9/GdkTVYUeDQbZE09hkD3x1ALZE1ctYpU9O3uVdKVOsmonFTs3V+4m8M4MjSdn7JiVOtnvsa/Ysa06sseWVDHtkD3FcLbtBdljS6qYdsieYjjb9ILssaFEmxgIqMse8yRfefX7Ui4vJKt7Gj3Mqp5SaVre/+y7Y2ByOAazBa12VVL9lrRsZc/ocFyCKiqIBQ5mY6siAwM90tPVXWCvdNWIgPkCtbG1LSNDvDZimCE7u3tysC8y0N8Tw3BO/Bg2tyvS19sjvT1H815V2d9NtmHdWFmQ15fNr0crdk4Pjcvl8Rm5MnFOLo9Py5MT0zI1EOf26hAT6UBE1je3ZZT3qhA4vXNU9vZlb29PBvv7vHORwJ/A1s6u9HR3Je9XPI6ewNpm+rmq6+iHcuJHsLe/Lzs7ezI0yHuV9mQYHICxD+NCZE+2uscMtHb1Tvb/796/H+V5PWZVz2e/8KKsrq29hbE5t+f8+YvJ/2cS+kzBcLE7O7vJB5Kubv4ZDEfVLdPBwYHsVPZkoL/XLQFRQQmYL09GwPXygT0oV9dklcqu9PT0SHcB71VG7NwwYmf1rtxYTeVOdnjyqcFxuTxmpM45uTwxLZfGpuXUYOeKnYb1OhDZ3jE/KODDpOt8Dhm3b2TP/oH09SEXQnJ1zbW7uyddXV3Sc0Ri2nXcnRq3vb2b/tCmi8+5R11js4J9d29P+vv4nKtdCxZV+BEuRPZkQzQrfF7+9ncfG/Fzv/qB6Fb0NEPabGXPmam4D6D0myLHJ5ptXPHUim1c8dTCjISr1+Oqh9ZtXJU9s2InPTz52mI52YplVu+Yx+mhsXQbljlAeaoks5MzJ0/sNJgGbOOK67XBNq646sE2rrjqwTaueOrBNq54asFIWhMoVPYc92Ige+KuILInnvoge+KpBbInrlqY0YSQPbv7ezVn7KRix6zaMQ+zOieVOumV5+bqc7M9i8dbCSB74poVyJ646oHsiaseyJ546oHsiacWjATZE2wOIHuCoVRJhOxRweqUFNnjhE0tiJU9amidEueVPbv7+zK3dCddtbO0kIgd82fzMAclJ2InuRHLyJ1ScqAyDzsCyB47TkW1QvYURdquH2SPHaeiWiF7iiLdvh9kT3tGtIiDACt7POrA1ese8BRCkT0KUB1TInscwSmFIXuUwDqmbSV7zIqdVOqkYie5HWupfCh2Dm/EMmJnYkbMFeg83Akge9zZaUQiezSouudE9riz04hE9mhQdcuJ7HHjRlTxBJA9HsyRPR7wFEKRPQpQHVMiexzBKYUhe5TAOqbNZE9PT1f1jJ15ufawnAqe6oqdyQGzYqe6Dctcez45I08MIXYckTcNQ/aEJuqXD9njxy90NLInNFG/fMgeP34ho5E9IWmSS5MAsseDLrLHA55CKLJHAapjSmSPIzilMGSPEtgcafcP9hORYw5O/tv7t5MbscwZOwdyIJMDIzVn7JSSM3ZYsZMDrkdTZI8HPIVQZI8CVI+UyB4PeAqhyB4FqI4pkT2O4AgrnACyxwM5sscDnkIoskcBqmNKZI8jOKUwZI8S2CZpDw4O5NpSOV21s7iQbMMyf94/OJCJ/mG5ND4ts5Pn5edPpyt2zg5PFjtAejskgOyJazIge+KqB7Inrnoge+KpB7InnlowktYEkD0eMwTZ4wFPIRTZowDVMSWyxxGcUhiyRwmsSCJw0jN2zDYsI3bS1Ttmxc7EwEhyro65FSvZkjVRknMjk0Fu49J7RicrM7Inrnoje+KqB7Inrnoge+KpB7InnlowEmSP2hxA9qihdUqM7HHCphKE7FHB6pwU2eOM7rFAs2InETvL8zL3cF7mqpLHCJ/x/hG5MmlW7KQ3Ys1OleRckxU7eW/jCjN6sjQigOyJa14ge+KqB7Inrnoge+KpB7InnlowEmSP2hxA9qihdUqM7HHCphKE7FHB6pwU2eOGLpE6i2WZS1bspAco7x3sy1j/cCJ1jNAx27DM6p3pkSnrTpA91qjUGyJ71BHn6gDZkwuXemNkjzriXB0ge3LhUm2M7FHFS/KABNjG5QET2eMBTyEU2aMA1TElsscRnFIYsqc9WCNzkpU65oyd6tXn5hr0sb5hmT2VCh0jdmYnS7nETqOekT3t61FUC2RPUaTt+kH22HEqqhWypyjSdv0ge+w4FdEK2VMEZfoIQQDZ40ER2eMBTyEU2aMA1TElsscRnFIYsudxsOnByWY7VnrGztxSWRKx0z+cbMXKpI4RPDOjp4JXBdkTHKlzQmSPMzqVQGSPClbnpMgeZ3QqgcgeFaxOSZE9TtgIOgICyB4P6MgeD3gKocgeBaiOKZE9juCUwk6y7DHXmydCJ5E7ZkvWfCJ2RvuG5crUdHLNebIVa3JGSqOnlSrweFpkTyGYrTpB9lhhKqwRsqcw1FYdIXusMBXWCNlTGOq2HSF72iKiQSQEkD0ehUD2eMBTCEX2KEB1TInscQSnFHZSZM+NlQWZe5hec56eszMvlf1dGekbSlbsXD08Y6ckJYUVO7blQ/bYktJvh+zRZ5ynB2RPHlr6bZE9+ozz9IDsyUNLty2yR5cv2cMRQPZ4sET2eMBTCEX2KEB1TInscQSnFNaJsufmyt3q4cnZdqyy7OztykjvYPWMnerhyZMzcr6gFTu25UP22JLSb4fs0WecpwdkTx5a+m2RPfqM8/SA7MlDS7ctskeXL9nDEUD2eLBE9njAUwhF9ihAdUyJ7HEEpxR23GVPKnbSbVjXqyt2tvcqhyt2sm1YVydmpDR2RoliuLTInnAsfTMhe3wJho1H9oTl6ZsN2eNLMGw8sicsT59syB4fesQWSQDZ40Eb2eMBTyEU2aMA1TElsscRnFLYcZI9RuykZ+yY7VgLyRk7O3sVGe4dTM7YMYcmX51MV+2cPwZip1FJkT1KE90hLbLHAZpiCLJHEa5DamSPAzTFEGSPItycqZE9OYHR/MgIIHs80CN7POAphCJ7FKA6pkT2OIJTCotV9ryxei+5FcvchpXeijUvZsXOUN+AXJkwZ+ycPzxA+biKHWSP0qQOlBbZEwhkoDTInkAgA6VB9gQCGSgNsicQyABpkD0BIJKiEALIHg/MyB4PeAqhyB4FqI4pkT2O4JTCYpA9t1bflLnFO6nUqd6QtbW7I4O9A3J1aqbmVqySXDimK3Zsy8fKHltS+u2QPfqM8/SA7MlDS78tskefcZ4ekD15aOm2Rfbo8iV7OALIHg+WyB4PeAqhyB4FqI4pkT2O4JTCipY9t7IVO8vz6Rk7y/OyWdlOVuykV52b7VjpVqyL408oPet40yJ74qkNsieeWpiRIHviqgeyJ656IHviqQeyJ55aMJLWBJA9HjME2eMBTyEU2aMA1TElsscRnFKYpuy5tfJmInPSbVjpdqzN3R0Z6u2XK+ZsnYnpROrMTs3IxbGzSs/weKVF9sRTL2RPPLVA9sRVCzMaZE9cNUH2xFMPZE88tWAkyB61OYDsUUPrlBjZ44RNJQjZo4LVOWko2XN79b5cXypXpc6CXFuel63KtgwasTORCp1k5c5USS6OnbwVO7YFQvbYktJvh+zRZ5ynB1b25KGl3xbZo884Tw/Injy0dNsie3T5kj0cAVb2eLBE9njAUwhF9ihAdUyJ7HEEpxTmInvurN4/XKljpE6yYqeyLQM9fTI7VZLZZMVOSa5MzcjbWLGTq3LInly4VBsje1Tx5k6O7MmNTDUA2aOKN3dyZE9uZGoByB41tCQOTADZ4wEU2eMBTyEU2aMA1TElsscRnFJYO9ljxI6ROanUMVuxFmSjsiUDvX0ym5ytk155bsTOpfFzSqM8OWmRPfHUGtkTTy3MSJA9cdUD2RNXPZA98dQD2RNPLRhJawLIHo8ZguzxgKcQiuxRgOqYEtnjCE4prFb2lFfvV6VO9YydxQXZ2N1KVuyYs3UenbFTQuwo1QPZowTWIS2yxwGaYgiyRxGuQ2pkjwM0xRBkjyLcnKmRPTmB0fzICCB7PNAjezzgKYQiexSgOqZE9jiCCxx2Z+1BsmLnZw9uy42lBbmxuiDrlS3p7+lNV+qYg5MnS8lZO6zYCQy/RTpkT3Gs2/WE7GlHqNi/R/YUy7tdb8iedoSK/XtkT7G8W/WG7ImnFoykNQFkj8cMQfZ4wFMIRfYoQHVMiexxBOcRVl57WD1jp5zcjjW3aMTOpvR198qTE9NyaWxa/t6Z88lWrMvj0x49EepLANnjSzBcPLInHMsQmZA9ISiGy4HsCccyRCZkTwiKYXIge8JwJIs+AWSPB2Nkjwc8hVBkjwJUx5TIHkdwlmHl6oqdROosmXN2FmRtZ0P6qit2ZpMzdtLDk43oaXdmj2W3NAtEANkTCGSANMieABADpkD2BIQZIBWyJwDEgCmQPQFheqZC9ngCJLwwAsgeD9TIHg94CqHIHgWojimRPY7gGoTNrz1MV+osZWfszMtaZVN6u3tkNjljp3qA8pT580zDjpE94eoRIhOyJwTFMDmQPWE4hsqC7AlFMkweZE8YjqGyIHtCkfTPg+zxZ0iGYgggezw4I3s84CmEInsUoDqmRPa4gVtYX0y2Yplf5qwds2JndWcjETvZGTvmZqyrUyV5sonYadQzssetHlpRyB4tsvnzInvyM9OMQPZo0s2fG9mTn5lmBLJHk26+3MiefLxofXQEkD0e7JE9HvAUQpE9ClAdUyJ72oPLxE4idcyV54sLsrKzLj1d3TI7VUrkjjk4Ob0hq/GKnfa9pC2QPbakimmH7CmGs00vyB4bSsW1QfYUx9qmJ2SPDaXi2iB7imPdridkTztC/H0sBJA9HpVA9njAUwhF9ihAdUyJ7Hkc3N2NJZlbTA9Ovr5YlrnlBVnZXpfurq7kNqwr5kYsc86OETuTM9IlXY7kG4che4Li9E6G7PFGGCwBsicYyiCJkD1BMAZLguwJhjJIImRPEIxBkiB7gmAkSQEEkD0ekJE9HvAUQpE9ClAdU55k2XN3fUmuL6fbsK4ZwbOUrtjp7upOrzo3V55PVQ9QnpxJhI/2A9mjTThffmRPPl6arZE9mnTz50b25GemGYHs0aSbPzeyJz8zrQhkjxZZ8oYmgOzxIIrs8YCnEIrsUYDqmPKkyJ57G0up1DFn7Cym27GWt9ely6zYMVKnulLH/G7O2Qm9Yse2PMgeW1LFtEP2FMPZphdkjw2l4toge4pjbdMTsseGUnFtkD3FsW7XE7KnHSH+PhYCyB6PSiB7POAphCJ7FKA6puxE2fPmxrLMmVuxktU66cqdJSN2RKrbsMxV59NVyVMqZMWObXmQPbakimmH7CmGs00vyB4bSsW1QfYUx9qmJ2SPDaXi2iB7imPdridkTztC/H0sBJA9HpVA9njAUwhF9ihAdUx53GXPm5vLNWfspCt2FrfWEhrpGTsz1TN20j+bQ5VjfiB74qoOsieeeiB74qmFGQmyJ656IHviqgeyJ556IHviqQUjaU3gxMme5ZVV+cznvyzl8t2ETKl0Tj79qU/IxPhYQ1I3b92Wz37hRVldS7/o1cZU9tKzNs5MjTLPIiCA7ImgCNUhHCfZY1bsJAcnL6Wrdsy152bFjnmkZ+ykK3ayq8/NNejH7YHsiatiyJ546oHsiacWyJ64amFGg+yJqybInnjqgeyJpxaMBNnzGIEf/vinUp6/K+9/9t3J/3/l1e/Lj/7mJ/Kxj7wggwMDb6FlZM9XvvGSfPw3npdLFy889ves7Inr5YXsiacescqe+5sridQxByhfe5jejpWt2Hkyu+p8Ir0Vy6zgOY5ip9EsQPbE89owI0H2xFMPZE88tUD2xFULZE989UD2xFMTZE88tWAkyJ6WBIz8efkPvtt0dQ+y5/i8hJA98dQqBtnzwIid5exGrHTlzsOt1QTSkxPTMjtltmClt2LNTs50jNhB9sTzOmg2EmRPPDVC9sRTC2RPXLVA9sRXD2RPPDVB9sRTC0aC7GlJ4KWXvyP3HzxoubKndhtX7bYvVvbE9fJC9sRTj6Jlj5E4yTXnZjtWcitWWR5sPhI7V4zYMSt3jNyZnJG+7t54YBUwElb2FAA5RxfInhywlJsie5QB50zPmT05gSk3ZxuXMuCc6ZE9OYEpNkf2KMIldVACJ+7Mnoye2b718re/2/bMnnratXJobaOS/PXoyGDQopDMjcDG5o4MDvRKd3fch+W6PbvjFXVwcCCmHiPDb90a6ftMjNh5fWVebiwtyOsrC8mKncXtVOxcGj8nl8fNap3p5HezNauv52SJnUZ8dyq7crAvMjAAC9/5FyJ+c2tH+vp6pbeH96oQPL1yHIisbW7J6DD/jntxDBS8u7snu3v7MjjQFygjaXwIbG9Xks9UfX3H76w6n+cda6yRb6ND/SJd6ZmhPI6OwN7evpjPVkOD/Uc3iBPS82A/n119Sn1iZU8Grd02rnq4ZluXET6f/OiHJTugmUnoMwXDxe5U9qS3tzuqK6/DPbvjlcn8tHxnd1cG+vzeoI3EublyV26s3pXXlxfkxurC4Vasi6NPyJPj03Jp3IgdI3nOSX83XxAazZS9/X0xNUEuxPE6Mj8R7Onulu5uPrAfdUUORGRnZ1cG+DB51KVI+t/bP5D9/X3p60UuxFCQyt6+mLcp837F4+gJmJVv/f29wr8cR1+L/YMD2d3dl35EqHoxWFThh/jEyx5zO9eXXvymPP/cB99yAHMjtI1kD7dx+U3CUNFs4wpF0j+PyzYuc1BycsZOcnByOVmxYw5UNo9L42dldup8sgXLrNoxZ+z09yB2bCvFNi5bUsW0YxtXMZxtemEblw2l4tqwjas41jY9sY3LhlJxbdjGVRzrdj2xjasdIf4+FgInTvaY7VulmXPyznc8ldTA/Perr/3g8IDm+v/+wZ//hVy+fPFQBJlVPeZh5BBn9sQyjdNxIHviqUc72WOuNr+2eCe9GSu5HWtezBXoqdg5J1emjNQxZ+zMJIJnALHjVVxkjxe+4MHInuBInRMie5zRqQQie1SwOidF9jijUwlE9qhgdUqK7HHCRtAREDhxsseszGl24HIj+WO2eX3ui187LM27nnn68DBnZM8RzNgWXSJ74qlHrezJVuykByfPy9xiWd7cTMXO28bPpqt1JksyW73yfLCX/c+hK4nsCU3ULx+yx49fyGhkT0ia/rmQPf4MQ2ZA9oSk6Z8L2ePPMFQGZE8okuTRJnDiZE9IoMiekDT9cyF7/Bn6ZjArdsxKHSN0/vbNW3Jr497hip2LY2eTFTuzE0bumFuxSjKE2PFFbhWP7LHCVFgjZE9hqNt2hOxpi6jQBsieQnG37QzZ0xZRoQ2QPYXibtkZsieeWjCS1gSQPR4zBNnjAU8hFNmjALVFymUjdsxKnYdlmTNXni/Ny72NpSTiwtgTcnH4CXnq3NuS7Vhm9Q5ip9j61PaG7Dk69o16RvbEUw9kTzy1MCNB9sRVD2RPXPVA9sRTD2RPPLVgJMgetTmA7FFD65QY2eOEzSpoZWdd5hbnZe7wjJ2y3F1Pxc7F8SeqByeXkhU7V83hyd39srS6IacmRqzy00iXALJHl2/e7MievMT02iN79Ni6ZEb2uFDTi0H26LF1yYzscaGmE4Ps0eFK1vAEWNnjwRTZ4wFPIRTZEwbq6s6GXDNSZ9HcipVuybqbrdgxYqe6UudqtmKnb+AtHbc7oDnMSMliSwDZY0uqmHbInmI42/SC7LGhVFwbZE9xrG16QvbYUCquDbKnONbtekL2tCPE38dCANnjUQlkjwc8hVBkT36oZsXO9cWFQ6lj5M7C+mKS6PzYmWTFTip10lU7w32DVp0ge6wwFdYI2VMYaquOkD1WmApphOwpBLN1J8gea1SFNET2FILZuhNkjzUq9YbIHnXEdBCIALLHAySyxwOeQiiypzVUs2Ln+tJCslInWbGzVD4UO6Wx0zI7UUquOp81YmdqWoZ77cROo16RPQoT3CMlsscDnkIoskcBqmNKZI8jOKUwZI8SWMe0yB5HcEphyB4lsA5pkT0O0Ag5EgLIHg/syB4PeAqhyJ5HUNcqm2KuOjdCJzlnZ3le5tceJg1KY2eSc3Wy7Vhm9c6I5Yod27Ihe2xJFdMO2VMMZ9tekD22pPTbIXv0GefpAdmTh5Z+W2SPPuM8PSB78tDSbYvs0eVL9nAEkD0eLJE9HvAUQk+q7FmvbD46PLl6xs78eip2zo+drkqdUvL77NS0jPQNKdB/PCWyRx1xrg6QPblwqTdG9qgjtu4A2WONqpCGyJ5CMFt3guyxRlVIQ2RPIZitOkH2WGGiUQQEkD0eRUD2eMBTCD0JsicVO+kZO9eTVTtlKWcrdkZPpWfrGKljVu5MTsto/7AC6fYpkT3tGRXZAtlTJO32fSF72jMqqgWypyjSdv0ge+w4FdUK2VMUabt+kD12nIpohewpgjJ9hCCA7PGgiOzxgKcQ2mmyZ72yJderV50bqWP+fGftQUJuZsSInarUMWftnJqR0QJW7NiWDdljS6qYdsieYjjb9oLssSWl3w7Zo884Tw/Injy09Nsie/QZ5+kB2ZOHlm5bZI8uX7KHI4Ds8WCJ7PGApxB6nGXPxu5WcitWJnWuLc9LefV+KnaSFTszyQHK5nezYmfsiFbs2JYN2WNLqph2yJ5iONv2guyxJaXfDtmjzzhPD8iePLT02yJ79Bnn6QHZk4eWbltkjy5fsocjgOzxYIns8YCnEHpcZM9mZTs9NHlpXq4tV1fsVMXO9MhUehtWdoDy1LSM948o0NJNiezR5Zs3O7InLzHd9sgeXb55siN78tDSb4vs0WecpwdkTx5a+m2RPfqMbXtA9tiSot1RE0D2eFQA2eMBTyE0RtmzmWzFWhCzUsfIHbNy506N2HkkdUoyOzEt4wPHT+w04PT5HQAAH75JREFUKiWyR2GCe6RE9njAUwhF9ihAdUyJ7HEEpxSG7FEC65gW2eMITikM2aME1iEtsscBGiFHQgDZ44Ed2eMBTyH0qGXPVmW7KnUebce6vfpm8kzPDU9Wt2CVqocnz8hEh4gdZI/CZA6cEtkTGKhnOmSPJ8CA4ciegDADpEL2BIAYMAWyJyDMAKmQPQEgBkqB7AkEkjTqBJA9HoiRPR7wFEKLlD2buzuHK3WSQ5SX5+XWSlXsjExVz9iZkStTM3JloiQTA0dzK5YCZquUrOyxwlRYI2RPYaitOkL2WGEqpBGypxDM1p0ge6xRFdIQ2VMIZutOkD3WqNQbInvUEdNBIALIHg+QyB4PeAqhWrJna3enenByeuX53OK83Fq9lzyDs8OThyt1kmvPJ2dksoNX7NiWDdljS6qYdsieYjjb9oLssSWl3w7Zo884Tw/Injy09Nsie/QZ5+kB2ZOHlm5bZI8uX7KHI4Ds8WCJ7PGApxAaQvZs71VkbrEsc8sL6cqdxTtyq7oV64nhifTw5Il0xc7sxIxMDo4qPJPjnxLZE1cNkT1x1QPZE089kD3x1MKMBNkTVz2QPXHVA9kTTz2QPfHUgpG0JoDs8ZghyB4PeAqheWXP9m5F5pLbsKpn7CzOyxvVFTtPDE1Uz9gxV53PJJJnCrFjXTVkjzWqQhoiewrBbN0JsscalXpDZI864lwdIHty4VJvjOxRR5yrA2RPLlyqjZE9qnhJHpAAsscDJrLHA55CaCvZY1bspLdhpbdimV83V+4mozgzNC6zU2bFTklmkzN2ZhA7nvVB9ngCDByO7AkM1DMdsscTYMBwZE9AmAFSIXsCQAyYAtkTEGaAVMieABADpUD2BAJJGnUCyB4PxMgeD3gKoZns2ZeDw7N1ri+XkzN2asWOOVtndjJdsWN+nRocUxjNyU6J7Imr/sieuOqB7ImnHsieeGphRoLsiaseyJ646oHsiaceyJ54asFIWhNA9njMEGSPB7xAoZX9veRcnevLC/LTe7fkjfW78sZKenjyabNixwid6hk7ZuXO6SHETiD0LdMge4qgbN8HsseeVREtkT1FULbrA9ljx6moVsieokjb9YPsseNUVCtkT1Gk2/eD7GnPiBZxEED2eNQB2eMBzyG0srebrtipOWPnxspCKnYGx+Ti6Fn5udMX5OpUunLHyB4eR0MA2XM03Jv1iuyJqx7InnjqgeyJpxZmJMieuOqB7ImrHsieeOqB7ImnFoykNQFkj8cMQfZ4wGsTumtW7JizdZKrzs0hyvPy+nIqdk4NjkqyFasqdczKHSN28h7QrDd6MiN74poDyJ646oHsiaceyJ54aoHsiasWZjTInrhqguyJpx7InnhqwUiQPWpzANkTBq0RO4dSx1x5vphKnlTsjKVn6yRXnZeSP5sDlRs9kD1h6hEiC7InBMVwOZA94ViGyITsCUExTA5kTxiOobKwsicUyTB5kD1hOIbKguwJRdI/D7LHnyEZiiHAyh4Pzsie/PD2DvbTlTrL83J9cUGuLZXl9arYMVebm1U6yc1Y1bN2nhiesO4E2WONSr0hskcdca4OkD25cKk3RvaoI7buANljjaqQhsieQjBbd4LssUZVSENkTyGYrTpB9lhholEEBJA9HkVA9rSGt7e/n0qdpfKjc3aW0hU7kwOj6eHJ1avOzbassznETqOekT0ekzlwKLInMFDPdMgeT4CBw5E9gYF6pEP2eMBTCEX2KED1SIns8YCnEIrsUYDqmBLZ4wiOsMIJIHs8kCN7HsHbP9hPztWZM2fsPEy3YZn/PpADmRwYObwRa3bqvMxOzEieFTu2JUL22JLSb4fs0WecpwdkTx5a+m2RPfqMbXtA9tiSKqYdsqcYzra9IHtsSRXTDtlTDGebXpA9NpRoEwMBZI9HFU6q7Dk4OEilTnJw8oJcX04PUN4/qIqdyVL1jJ2ZZDvW2eFJD8r2ocgee1baLZE92oTz5Uf25OOl3RrZo03YPj+yx55VES2RPUVQtu8D2WPPqoiWyJ4iKNv1geyx40SroyeA7PGowUmQPQciMrd45/CMHbNix5yzY4TPRHXFzqzZipWcsVOScyPFiJ1GZUP2eEzmwKHInsBAPdMhezwBBg5H9gQG6pEO2eMBTyEU2aMA1SMlsscDnkIoskcBqmNKZI8jOMIKJ4Ds8UDeabLHCJxs+5VZsWOkTrpiZ1/G+0fkyuS0JGKneivW9MiUB73wocie8ExdMyJ7XMnpxCF7dLi6ZkX2uJILH4fsCc/UJyOyx4de+FhkT3imPhmRPT70wsYie8LyJJseAWSPB9vjLnuMyElW6jys3o61PC/mUOWx/uH08OTqr9nJksQmdhqVDdnjMZkDhyJ7AgP1TIfs8QQYOBzZExioRzpkjwc8hVBkjwJUj5TIHg94CqHIHgWojimRPY7gCCucALLHA/lxkj3mevNrh2fspIcn7+7vpSt2pqYPrzo/LmIH2eMxcQsIRfYUADlHF8ieHLAKaIrsKQCyZRfIHktQBTVD9hQE2rIbZI8lqIKaIXsKAm3RDbLHAhJNoiCA7PEoQ6yyJ1mxk/wyhyfPy9zSHdmtrtgxW7HMNefJyp2JGZkZPeVBIK5QVvbEUw9kTzy1MCNB9sRVD2RPPPVA9sRTCzMSZE9c9UD2xFUPZE889UD2xFMLRtKaALKnzQy5eeu2fPYLL8rq2lrS8l3PPC0f+8gLMjgwIDHInteXF+T6otmOVZY5c/V5dcXOaN9QeiNWVeqYLVml0dMd/XpA9sRTXmRPPLVA9sRVCzMaZE88NUH2xFMLZE9ctTCjQfbEVRNkTzz1QPbEUwtGguzxmgOvvPp9Kc2ck3e+46kkz0svfyf5/fnnPli47LlhxE4idIzYSVftVPZ2ZaRvSGaTFTvmnJ1SsmLn/Fhni51GRUX2eE31oMHInqA4vZOxsscbYdAEyJ6gOL2SIXu88AUPZmVPcKReCZE9XviCByN7giN1TojscUZHYMEEWNmTE7iRPz/6m58kq3vWNipJ9Jmp0ZxZ2je/uXJX5h6WZW7ZrNoxkqcsO5nYSc7YSaWOWbnT6St22tNKWyB7bEnpt0P26DPO0wOyJw8t/bbIHn3Gtj0ge2xJFdMO2VMMZ9tekD22pIpph+wphrNNL8geG0q0iYEAsidHFba2t+WrX/+WnDl9OujKnpsr92Ru8U712vOFZOVOJnbSM3bSm7GuTpSkdAJX7NiWCNljS0q/HbJHn3GeHpA9eWjpt0X26DO27QHZY0uqmHbInmI42/aC7LElVUw7ZE8xnG16QfbYUKJNDASQPZZVMNu3Xn3tzxqe2TM+OmiZReSNlXtiztl5fSXdhmX+vLNXkeHeAXlyYlqeNHJnvJT8mRU71liThusbOzI42Cs93d35AmkdnMDB/oGsbW7L2Ij9ayP4IEh4SGCnsiv7+yKDA71QiYDAxuaO9Pf1Sm8v71VHXQ4je9Y2NmVsZOioh0L/ImK+QO3u7snQYD88IiCwtV2R7u6u5P2Kx9ETWF3fktHhAenq6jr6wZzwEezt7ScHyg8P8V6lPRV4//EjjOzJya/RNq5mk/D22ptyc/Wu3FhJ5c7NVSN2dmWot18ujZ2Ty+MzcnnsXPLn0uiZnCOheT0B8yGxt6ebfwQjmBoHIskH9r7enghGwxD2jOk5EOnpQS7EMBt29/aku7tbuvnAHkM5ZKeyJ/19vFfFUAyzKnT/4CD5t5zH0RPY3dtP3qeM8OFx9AR4rzr6GmQjMO9TRvjwOVe/JnkWVeiP5vj1gOzJWTNzO5dZ5fPJj35YKnvpP37mzJ5bq/eSW7GuLZWrZ+zMy9bujgz2DsjVx27FKsmFMcROTuxWzdnGZYWpkEZs4yoEs3UnbOOyRlVIQ7ZxFYLZqhO2cVlhKqwR27gKQ23VEdu4rDAV1ohtXIWhbtsR27jaIqJBJASQPW0K8e3v/pH8+//oH8qlixeSlkb03H/w4PCA5v/+//tDeWPtbiJ2hvoGZHbCnK+THqBs/nxh/IlISt35w0D2xFNjZE88tTAjQfbEVQ9kTzz1QPbEUwszEmRPXPVA9sRVD2RPPPVA9sRTC0bSmgCyp80M+eGPfyqf++LXDlu965mnE9EzODCQXL3+h9dek6fPvU1mp2bk4thZ5tsREkD2HCH8uq6RPfHUAtkTVy3MaJA98dQE2RNPLZA9cdXCjAbZE1dNkD3x1APZE08tGAmyR20OGNljHhpXr6sNuoMTI3viKS6yJ55aIHviqgWyJ656IHviqgcre+KqB7Inrnoge+KpB7InnlowEmSP2hxA9qihdUqM7HHCphKE7FHB6pyUbVzO6FQCWdmjgtUpKbLHCZtaELJHDa1TYmSPEza1IGSPGtrciZE9uZERcEQE2MblAR7Z4wFPIRTZowDVMSWyxxGcUhiyRwmsY1pkjyM4hTBkjwJUj5TIHg94CqHIHgWoHimRPR7wAociewIDJZ0aAWSPB1pkjwc8hVBkjwJUx5TIHkdwSmHIHiWwjmmRPY7gFMKQPQpQPVIiezzgKYQiexSgeqRE9njACxyK7AkMlHRqBJA9HmiRPR7wFEKRPQpQHVMiexzBKYUhe5TAOqZF9jiCUwhD9ihA9UiJ7PGApxCK7FGA6pES2eMBL3AosicwUNKpEUD2eKBF9njAUwhF9ihAdUyJ7HEEpxSG7FEC65gW2eMITiEM2aMA1SMlsscDnkIoskcBqkdKZI8HvMChyJ7AQEmnRgDZ44EW2eMBTyEU2aMA1TElsscRnFIYskcJrGNaZI8jOIUwZI8CVI+UyB4PeAqhyB4FqB4pkT0e8AKHInsCAyWdGgFkjwdaZI8HPIVQZI8CVMeUyB5HcEphyB4lsI5pkT2O4BTCkD0KUD1SIns84CmEInsUoHqkRPZ4wAsciuwJDJR0agSQPR5okT0e8BRCkT0KUB1TInscwSmFIXuUwDqmRfY4glMIQ/YoQPVIiezxgKcQiuxRgOqREtnjAS9wKLInMFDSqRFA9nigRfZ4wFMIRfYoQHVMiexxBKcUhuxRAuuYFtnjCE4hDNmjANUjJbLHA55CKLJHAapHSmSPB7zAociewEBJp0YA2aOGlsQQgAAEIAABCEAAAhCAAAQgAAEIQKB4Asie4pnTIwQgAAEIQAACEIAABCAAAQhAAAIQUCOA7FFDS2IIQAACEIAABCAAAQhAAAIQgAAEIFA8AWRP8czpEQIQgAAEIAABCEAAAhCAAAQgAAEIqBFA9jiifeXV78vL3/5uEv2uZ56Wj33kBRkcGHDMRpgNga3tbfnq178l//ZHP0maP/erH5D3P/vutqGmVuXygjz/3AfbtqWBPYEf/vin8rkvfi0JKJXOyac/9QmZGB9rmODmrdvy2S+8KKtra1bt7UdBy4xAnvek+nrwHhZ2Hrm+V5lRvPTyd+QnP/tZy9dT2NF2frbllVX5zOe/LOXy3eTJ/u5v/5a88x1PNX3ipgavvvZnj/297b83nU/T/xnmea8yvfm8nvxH29kZ8rCtfx1lZNr9+9/ZBMM+u7zvVfX/lvM+FbYeeT7nmp5r39t4XYStBdncCSB7HNiZF//Lf/Ddww/j5oOheSATHGDmCKnlnP2D+NyHPtD0Q3vtm/Sz7/lF6pODdbum5gPGV77xknz8N56XSxcvJP/A/ehvftJUeppalOfvHso5U8v7Dx4gSduBtvz7vO9Jpl6lmXOHrx3ewyxBWzbL+16Vpc0kAx8SLUFbNMu+zD7zC08n7z/1712NUvB6sADr2CTve1V9/Ry7JawJAdf3qiwdP0wLN7XyvlfVfw62+VwcbrSdn8nlc279d0M+53b+PDkOzxDZ41Al849jqTR9+MW1/sOLQ0pC2hAw/4h96cVvJsLGyAXzsP1AzoeR8NOrnqnNF6jaUfCaCVsT3/ekdrIu7Gg7O5vre1X2mvoHf/+dj/0wobNp6T87895kXh+f/OiHk5WHNvLA9t8W/dF3Xg9536v491tvDri+V2UjahSvN9rOz5z3var+c5fNe1vnUwz3DPN8zm3EPu/n4nAjJxMEHieA7Mk5I3hB5wQWqHmjN03bL6h8WAxUhJo09V+G8v5EybZ24UfeeRl935Oy+DOnT7P6LcD0cHmvqn09/OzvriN7AtQhS9FILLeTOfXbuNgaEaYgLu9V9bUYGx2Vf/E7Hz38oU+YkZ3MLC7vVbWk+GwVdt64vlf95V/9dfKaMI9asR12dCcvW57PuY3e2/J+Lj55hHnGRRFA9uQknb2g3/feXz7cAoG9zQnRoXn9TzxMClthwAcSB+BtQup/OpvnHzVeL2Hr4fOelH2R4syecDXJ+15lPuD/yff+9HBLI6vewtXCZKrnm30hMr/bbL3OzsT4zV//tZbn/IQddWdmy/te1ai9+ff81dd+wJlWAaZI3veq2i5Z1ROgAHUpXN6rTMy//vZ3ZW11PTkTETEdri55P+fWfyfJ87k43KjJBIG3EkD25JwVLj+ZytkFzRsQ8PkJFLIn/JTK8xOP2t754hS+FiHek2zFafjRd17GvO9VtQc61tLg3J4wc8Plp+X1Pdd/6A8zspOXJe97VSPZwxeocPMm73tVbc/tVseFG+XJyZT3vape1mWvjWff80tWl5ecHLJuzzTv59z6w85Nr6xEdGNPVFgCyB4Hnnn3nDt0QUgdAZ+95cie8NMpz17mrHdET/g6ZBl935Ma/YRXb7SdndnnvcqQYWVP2PmR9xyMRr0je8LVJO97VaOfrtef3xdudCcrk+t7FatzdeZJ3vcql5VAOiPvzKwun3NrSZh6/vH/9j35b3/tV7mtuTOnyLF5Vsgeh1L9/+3dX6hlVR0H8PXk+ODogwNTl0IwTcRSJCQSsVGYwUG0Pw8mSQwyQZlpYoIKgQiCCv5rHP+EDsMQEzEE0kMYDjQa9CxZ/kuLUrk0luA0PjQ+ydq6D/su99lnn7O347lrfe6LeO45+6zf57fOvseva689790kFngLL2kR6LprRNf/0RD2jD+dZt2lIA12fDkcvwfNI846J6WXPuw/8FS46GsXrNns3F0jxuvRoucqYc94PaiPNOsON+m5Kv4tOfTcn8I3r7isOoRz17g9mfdcFZ+/+/G9k31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RxYVP1cL9NgpPPorbnziyJ39pSKUZQPn73sStSTEm/+4TH5L/9Kc/vGt/IJOvcClJ3Jqb2FLL24rtf1Msb2G7wuPqczXyxb7YsplC2Rb3tcD2pb7Yvi7FhF+pfpSSJHFZlup3HMZJZE+xsWVeB574nfdHz+FKswUL++ky1nzLHtO3UrLXdlzkx5WTPaX2BSr8HZJ0/PjoNzkgAAEIQAACEIAABNIncGhkT/pok10xzr/YJsvopzWbdvrhSBYIQAACEIAABCAAAQhAAAIQgEBaBJA9aZGucB1kTyCFoBsQgAAEIAABCEAAAhCAAAQgAIEDTgDZE0gBkT2BFIJuQAACEIAABCAAAQhAAAIQgAAEDjgBZM8BLyDdhwAEIAABCEAAAhCAAAQgAAEIQAAC+QSQPYwHCEAAAhCAAAQgAAEIQAACEIAABCBQRQSQPVVUTG4FAhCAAAQgAAEIQAACEIAABCAAAQggexgDEIAABCAAAQhAAAIQgAAEIAABCECgiggge6qomNwKBCAAAQhAAAIQgAAEIAABCEAAAhBA9jAGIAABCEAAAhCAAAQgAAEIQAACEIBAFRFA9lRRMbkVCEAAAhCAAAQgAAEIQAACEIAABCCA7GEMQAACEIAABCAAAQhAAAIQgAAEIACBKiKA7KmiYnIrEIAABCAAAQhAAAIQgAAEIAABCEAA2cMYgAAEIAABCEAAAhCAAAQgAAEIQAACVUQA2VNFxeRWIAABCEAAAhCAAAQgAAEIQAACEIAAsocxAAEIQAACEIAABCAAAQhAAAIQgAAEqogAsqeKismtQAACEIAABCAAAQhAAAIQgAAEIAABZA9jAAIQgAAEIAABCEAAAhCAAAQgAAEIVBEBZE8VFZNbgQAEIAABCEAAAhCAAAQgAAEIQAACyB7GAAQgAAEIQAACEIAABCAAAQhAAAIQqCICyJ4qKia3AgEIQAACEIAABCAAAQhAAAIQgAAEkD2MAQhAAAIQgAAEIAABCEAAAhCAAAQgUEUEkD1VVExuBQIQgAAEIAABCEAAAhCAAAQgAAEIIHsYAxCAAAQgAAEIQAACEIAABCAAAQhAoIoIIHuqqJjcCgQgAAEIQAACEIAABCAAAQhAAAIQQPYwBiAAAQhAAAIQgAAEIAABCEAAAhCAQBURQPZUUTG5FQhAAAIQgAAEIAABCEAAAhCAAAQggOxhDEAAAhCAAAQgAAEIQAACEIAABCAAgSoigOypomJyKxCAAAQgAAEIQAACEIAABCAAAQhAANnDGIAABCAAAQhAAAIQgAAEIAABCEAAAlVEANlTRcXkViAAAQhAAAIQgAAEIAABCEAAAhCAALKHMQABCEAAAhCAAAQgAAEIQAACEIAABKqIALKniorJrUAAAhCAAAQgAAEIQAACEIAABCAAAWQPYwACEIAABCAAAQhAAAIQgAAEIAABCFQRAWRPFRWTW4EABCAAAQhAAAIQgAAEIAABCEAAAsgexgAEIAABCEAAAhCAAAQgAAEIQAACEKgiAsieKiomtwIBCEAAAhCAAAQgAAEIQAACEIAABJA9jAEIQAACEIAABCAAAQhAAAIQgAAEIFBFBJA9VVRMbgUCEIAABCAAAQhAAAIQgAAEIAABCCB7GAMQgAAEIAABCEAAAhCAAAQgAAEIQKCKCCB7qqiY3AoEIAABCEAAAhCAAAQgAAEIQAACEED2MAYgAAEIQAACEIAABCAAAQhAAAIQgEAVEUD2VFExuRUIQAACEIAABCAAAQhAAAIQgAAEIIDsYQxAAAIQgAAEIAABCEAAAhCAAAQgAIEqIoDsqaJicisQgAAEIAABCEAAAhCAAAQgAAEIQADZwxiAAAQgAAEIQAACEIAABCAAAQhAAAJVRADZU0XF5FYgAAEIQAACEIAABCAAAQhAAAIQgACyhzEAAQhAAAIQgAAEIAABCEAAAhCAAASqiACyp4qKya1AAAIQgAAEIAABCEAAAhCAAAQgAAFkD2MAAhCAAAQgAAEIQAACEIAABCAAAQhUEQFkTxUVk1uBAAQgAAEIQAACEIAABCAAAQhAAALIHocxMDW7FEX397Q7ZCHUF4G5hVVpb2uU+ro6XynJY0lgZ2dX5hZXpLerzTIDYT4JrK5vyM62SFtro8+05LIksLC0Ks1NjdLYwGuVJUJvYbu7IjPzS9LXze9xb1AdEq1vbMnG5pZ0tDU7ZCHUF4GllXWpr6uV5qYGXynJ40Bgem5ZertapaamxiELoT4IbG5ty8rqhnR1tPhIRw4IqBFA9jigRfY4wFMIRfYoQLVMieyxBKcUhuxRAmuZFtljCU4hDNmjANUhJbLHAZ5CKLJHAapDSmSPAzzPocgez0BJp0YA2eOAFtnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmSPJTiFMGSPAlSHlMgeB3gKocgeBagOKZE9DvA8hyJ7PAMlnRoBZI8DWmSPAzyFUGSPAlTLlMgeS3BKYcgeJbCWaZE9luAUwpA9ClAdUiJ7HOAphCJ7FKA6pET2OMDzHIrs8QyUdGoEkD0OaJE9DvAUQpE9ClAtUyJ7LMEphSF7lMBapkX2WIJTCEP2KEB1SInscYCnEIrsUYDqkBLZ4wDPcyiyxzNQ0qkRQPY4oEX2OMBTCEX2KEC1TInssQSnFIbsUQJrmRbZYwlOIQzZowDVISWyxwGeQiiyRwGqQ0pkjwM8z6HIHs9ASadGANnjgBbZ4wBPIRTZowDVMiWyxxKcUhiyRwmsZVpkjyU4hTBkjwJUh5TIHgd4CqHIHgWoDimRPQ7wPIciezwDJZ0aAWSPA1pkjwM8hVBkjwJUy5TIHktwSmHIHiWwlmmRPZbgFMKQPQpQHVIiexzgKYQiexSgOqRE9jjA8xyK7PEMlHRqBJA9DmiRPQ7wFEKRPQpQLVMieyzBKYUhe5TAWqZF9liCUwhD9ihAdUiJ7HGApxCK7FGA6pAS2eMAz3MossczUNKpEUD2OKBF9jjAUwhF9ihAtUyJ7LEEpxSG7FECa5kW2WMJTiEM2aMA1SElsscBnkIoskcBqkNKZI8DPM+hyB7PQEmnRgDZ44AW2eMATyEU2aMA1TIlsscSnFIYskcJrGVaZI8lOIUwZI8CVIeUyB4HeAqhyB4FqA4pkT0O8DyHIns8AxWR1a0NmViZlTvLs3JnaUbGl+fkzvKM/K///N/4v9ghyojscSg2sscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyB4FqA4pkT0O8BRCkT0KUB1SInsc4HkORfYkBzq1uhDJmwkjc7JSJ/p+eVbm15fvSlhXUyt9LR3S09wpX3r3k8kvRsQeAWSPw2BA9jjAUwhF9ihAtUyJ7LEEpxSG7FECa5kW2WMJTiEM2aMA1SElsscBnkIoskcBqkNKZI8DPM+hyJ67ga5tbcj4ymx2No75ambmZKTO1Mq8rG9v3hXQ0dgqfc2dWaHTIX2tndLb3C59LV3SY742d0lXU6vnqh3OdMgeh7ojexzgKYQiexSgWqZE9liCUwpD9iiBtUyL7LEEpxCG7FGA6pAS2eMATyEU2aMA1SElsscBnufQwyZ7ZtYWo1k50fKqFbO8ygidWZlanZPp1cW76DbU1stAa5f0tHRIb3NHJHXM197c/7dk/r++ts5zVUhXjACyx2FcIHsc4CmEInsUoFqmRPZYglMKQ/YogbVMi+yxBKcQhuxRgOqQEtnjAE8hFNmjANUhJbLHAZ7n0GqSPetbm9GsnJzAMbNyzPdm2dXkyrysbK3dRa+7qU36W7ulP5I27dFSqz4jc3IzdVrapa2hxTNx0tkSQPbYkhMRZI8DPIVQZI8CVMuUyB5LcEphyB4lsJZpkT2W4BTCkD0KUB1SInsc4CmEInsUoDqkRPY4wPMcepBkj5mVY2bh5JZVmY2Pp1bmZHJ1TiaW52VXdvfoNNU3SH9LVzQzJydvotk5LZ3Sk52lY5ZZ8Tg4BJA9DrVC9jjAUwhF9ihAtUyJ7LEEpxSG7FECa5kW2WMJTiEM2aMA1SElsscBnkIoskcBqkNKZI8DPM+hocieje2taMPj2yuZ2TiTRuIsG5GzIJOr87JQsPGxETdG5Bihk5mZ0yE92Rk6uf1ymuoaPNMi3X4SQPY40Ef2OMBTCEX2KEC1TInssQSnFIbsUQJrmRbZYwlOIQzZowDVISWyxwGeQiiyRwGqQ0pkjwM8z6FpyZ7ZtaW9E6zMXjlG4ERCZ3Uhmp1jZE/u0dzQJAPNmVk5RuSY2TjmT/5+OWZjZB6HiwCyx6HeyB4HeAqhyB4FqJYpkT2W4JTCkD1KYC3TInsswSmEIXsUoDqkRPY4wFMIRfYoQHVIiexxgOc51Ifs2dzZik6vyp1iNWlOrsruk2O+n1lbuqvXRuAMtHbLQEuX9GWFTrS0ymx83JQ52aqmpsbznZLuoBNA9jhUENnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmSPJTiFMGSPAlSHlMgeB3gKocgeBagOKZE9DvA8h8aRPXPry3JnaVomVudlemVBJrL75Ewuz8vk2rysbq7v9cpsaGxkzp7Qycocs2+OOcXKSJ2W+kbPd0G6w0AA2eNQZWSPAzyFUGSPAlTLlMgeS3BKYcgeJbCWaZE9luAUwpA9ClAdUiJ7HOAphCJ7FKA6pET2OMDzHLq6sSGjMxOyVru+t9GxWWI1vTovE9GeOfOya37BiEiN1ERLq8ysnP7WzszMHDNLp6VLerPLrLqa2jz3kHQQyBBA9jiMBGSPAzyFUGSPAlTLlMgeS3BKYcgeJbCWaZE9luAUwpA9ClAdUiJ7HOAphCJ7FKA6pET2OMBLGDq/vry3N46ZkTOd3SfHiByz1GphY3kvo9kHx8icvmazzCordcwsHXOiVVNHNDOnvrYuYQ9oDgE/BJA9DhyRPQ7wFEKRPQpQLVMieyzBKYUhe5TAWqZF9liCUwhD9ihAdUiJ7HGApxCK7FGA6pAS2eMALy90e3dHJlfmZWplXibMPjkrC9GyqozUmY9m5eQ2PjaSJlpelZU4ZjaO+f/upk5pq2mWkf4Baa1v9tMxskBAgQCyxwEqsscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyB4FqA4pkT0O8BRCkT0KUB1SInviwTOixpxYZeSN2fw4OsFqOfP/RvLMrC3uJTLLp8wx5ANZodOf3QA5dzx5T3N70YvG2bMnXm9pBQFdAsgeB77IHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQhexSgOqRE9jjAUwhF9ihAdUiJ7MnAMzvhjC/PyvjSrIyvzmaETiRz5qPv5/JOsRo08qatW4ZaeyKhY2bmmL1zzGlW5vvGunqriiB7rLARtA8EkD0O0JE9DvAUQpE9ClAtUyJ7LMEphSF7lMBapkX2WIJTCEP2KEB1SInscYCnEIrsUYDqkPIwyZ7FjRW5szwb/Ylm6CzNyp2Vmcz3y7N7FM0MnMG2nj2ZY+TOYGuPDLaZr90OtMuHInvU0JLYMwFkjwNQZI8DPIVQZI8CVMuUyB5LcEphyB4lsJZpkT2W4BTCkD0KUB1SInsc4CmEInsUoDqkrCbZs7WzHYmbPaGzPCPjef+/tpU5ltwcSW6kzREjdNqN1OmWobbeSO6Y7+tqax2I2ocie+zZEZkuAWSPA29kjwM8hVBkjwJUy5TIHktwSmHIHiWwlmmRPZbgFMKQPQpQHVIiexzgKYQiexSgOqQ8aLJndm1J7iy/NRsnN0vH/N306kJEwhxLbiROJHRaeyOpY5ZZHWnvib5vb2hxIKYXiuzRY0tmvwSQPQ48kT0O8BRCkT0KUC1TInsswSmFIXuUwFqmRfZYglMIQ/YoQHVIiexxgKcQiuxRgOqQMjTZs769Ge2Rc8fsnRMtt8osu7qT3UPH/Nw8zNHkRtyYP2Z51ZD5vrU3Wm411Ka31MoBdcVQZE9FRDQIhACyx6EQyB4HeAqhyB4FqJYpkT0O32HNAAAgAElEQVSW4JTCkD1KYC3TInsswSmEIXsUoDqkRPY4wFMIRfYoQHVIuR+yx5xeZYTORFbijC9n9swZX56RufXl6G7M8eRG4hxpzQqdSOL0RLNzhlq6paWh+o4mR/Y4DGRCUyWA7HHAjexxgKcQiuxRgGqZEtljCU4pDNmjBNYyLbLHEpxCGLJHAapDSmSPAzyFUGSPAlSHlBqyZ2VrLbMJclbiZPbQmZHJ1bloxs727k7UY3ME+ZE2MxunO1p2ZcROZi+dXulr6XS4q4MZiuw5mHU7jL1G9jhUHdnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmSPJTiFMGSPAlSHlMgeB3gKocgeBagOKW1kz+7ubrTxcWZmTmYT5OjIcjM7Z2VOzKlX5tFU15CZjWOWWmU3QY42RY5OteqJfs7jLQLIHkbDQSGA7HGoFLLHAZ5CKLJHAaplSmSPJTilMGSPEljLtMgeS3AKYcgeBagOKZE9DvAUQpE9ClAdUpaSPQsby5mTrbISJ5qps5oVOstze1fsb+nMzM7JSp3MyVZG6PRKd1ObQ88OXyiy5/DV/KDeMbLHoXLIHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQhexSgOqRE9jjAUwhF9ihAtUgZHVO+PCuvTdyW1ZrVaAPkCSN2jOBZmZXVzcwx5a31zdE+OZmZOZlZOuaI8pzcqavZn2PKLW45+BBkT/AlooNZAsgeh6GA7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEIYskcBqkNKZI8DPIVQZI8C1BIpzWbHZq+caImVWWq1kpmZc2d5WqZXF/eiMidaZU6zMkusMjNzjNTpjk694pEOAWRPOpy5ijsBZI8DQ2SPAzyFUGSPAlTLlMgeS3BKYcgeJbCWaZE9luAUwpA9ClAdUiJ7HOAphCJ7/EFd38ocUx7Nxok2RJ4Rc7KV+d78/Ub2mPLOxrbMyVZ5EmfIiJ32HqnfaJDerlapqanx1zEyWRFA9lhhI2gfCCB7HKAjexzgKYQiexSgWqZE9liCUwpD9iiBtUyL7LEEpxCG7FGA6pAS2eMATyEU2ZMM6tTqQjQ7JzrZasXMypnN7KVjjilfW4qSZY4pzxxJbvbPiZZdZWfmmBOuWhqaSl7UZoPmZHdA67gEkD1xSdFuvwkgexwqgOxxgKcQiuxRgGqZEtljCU4pDNmjBNYyLbLHEpxCGLJHAapDSmSPAzyFUGTP3VBXNtfyZuZkZ+ksmROuMlLH7K1jHmaz4yPtfXvLq8y+ObnlVmaTZNsHsseWnP84ZI9/pmTUIYDsceCK7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEIYskcBqkNKZI8DPIXQwyh7crNxxpdn8mbmZPbP2TumvL5BBqOZOZlNkAeyX3MbIjcqHVOO7FEY5JYpkT2W4AhLnQCyxwE5sscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyB4FqA4pkT0O8BRCq1H2zKwtRuLGnG41sTIv49kjyifNpsiFx5S392ZOtmrNSB3z/ZF2c0x5uwLtyimRPZUZpdUC2ZMWaa7jSgDZ40AQ2eMATyEU2aMA1TIlsscSnFIYskcJrGVaZI8lOIUwZI8CVIeUyB4HeAqhB1X2TK7My9jitIytTMntxWm5tTQdHVFu/n5zeysi1d3cnjmWvLVLBtq6ZaClK/p/s9zKSB2zt05oD2RPOBVB9oRTC3pSngCyx2GEIHsc4CmEInsUoFqmRPZYglMKQ/YogbVMi+yxBKcQhuxRgOqQEtnjAE8hNGTZM7++LLeWpuTO0kwkc8bMn8Vpub0yEwkdI2vMLJxjbX0y3NG3N0PHiJyB1m5prKtXIKabEtmjyzdJdmRPElq03U8CyB4H+sgeB3gKocgeBaiWKZE9luCUwpA9SmAt0yJ7LMEphCF7FKA6pET2OMBTCN1v2bO2uS63lqfl1uJ0dKJVJHWM0FmekeXN1eiOh9q6ZbitT46298lwe38kdsz/m7+vtgeyJ5yKInvCqQU9KU8A2eMwQpA9DvAUQpE9ClAtUyJ7LMEphSF7lMBapkX2WIJTCEP2KEB1SInscYCnEJqG7Nne3cksuVrKSJzo++Wp6P9ns8eVm9Othjv6ZTgSOn1ytK1XjnWYr31BLrdSKEWUEtmjRTZ5XmRPcmZE7A8BZI8Dd2SPAzyFUGSPAlTLlMgeS3BKYcgeJbCWaZE9luAUwpA9ClAdUiJ7HOAphPqUPWbz47Hlabkdzc6Zyuyjkz3xynS9paFZho3EMTKnoy9afmW+mr9rbWhWuLuDlxLZE07NkD3h1IKelCdQlbJnfmFRPv+lr8nY2Hh095/99Efl4oVzFcfCM8/+QIaHj8j7Hn/PXtvRGzflC19+WhaXlvb+bnh4SD73mU/K5nZN9Hf9PfuzK3/FGzpkDZA94RQc2RNOLUxPkD1h1QPZE049kD3h1ML0BNkTVj2Syp659SW5tTglt5dmIrGTmbEzI7eXp2VrZ1vqamr3llkdbe/d+/5YR/++nXAVFvHyvUH2hFMtZE84taAnh0z2rK2vyze+9V159JHzkbQxsubr335GPvHhJ+XUieNFafzwxz+VZ7/3XPSzJ373/ffInlLxzOwJ6+mF7AmnHsiecGqB7AmrFqY3yJ5waoLsCacWyJ6wamF6U0z2rGyt3bWHTu60KyN3VjfXo5swmyDn9s6Jll+19UZ76pjjy3nYE0D22LPzHYns8U2UfFoEqm5mj5E7ZobOpz72Qenq7JBC+VMOZKmZPcgereHnNy+yxy9Pl2zIHhd6/mOZ2eOfqUtGZI8LPb+xyB6/PF2zMbPHlaCfeDMLx+yZc2VmXCZWZmVifTazMfLStMytL0cXMfvoZDZF7ssuverPfG3rPVT76PghHi8LsicepzRaIXvSoMw1fBCoOtnz/EuX5dnvPxctszKyxzyMxDGPJ5/4QFlmcZZx5ZZwmdy5mT3dna0+akEORwKLS2vS2togdbV1jpkIdyWwu7srC8tr0tXe4pqKeA8E1jc2ZWdHpKW5wUM2UrgSWF5Zk8bGBmmo57XKlaVz/K7I3NKKdHfwe9yZpYcEm5tbsrG1LW0tTR6ykaISgfEVI3Gmoo2Ro82Rs5skT67MRaHN9Y1ytLVPjnX2yZHW3swGydFeOr3SWs8+OpX4+v753OKqdLc3i9RktpHgsX8Etra3ZW1tU9rbeB5oV6G+rlb7ElWdvyplz5/96M/l4x95SpqbMm8WXGRPYfVNrqnp6Sj/0spm9GMGYRjPke2dXamtqeF3YADlMP9avrOzI3W8QAdQDZEdU5Bdkdpa3iCGUBBeq0KoQqYPuyKys81rVSgV2TEF2d3ltcpjQcw+OndWZmR8dVburMzK+PJb3+/s7kTvm4609MhQW58caemNlloNtvbI0ZZe6WhoFamRqA2P/Sewvb0jtXW1piQ89plA9D53d1fqeF+lXgkmVbghrkrZ43NmTyHe/GVibNDsNvh8R7OMyzdR+3ws47JnpxHJMi4NqvY5WcZlz853JMu4fBN1y8cyLjt+y5ur0T46udk5ZoZONEtnaVpWtzaipINt3Zkjy81Sq/b+vaPLy+2jk3SDZrveExWXAMu44pLSb8cyLn3GXMEPgaqTPb737EH2+BloaWRB9qRBOd41kD3xOKXVCtmTFul410H2xOOURitkTxqU418D2VOa1cb2VnSqlTndyiy92jvtanlGFrL76HQ1tcmx9v7MkeWtvZkjzKPjy/us9tFB9sQfu2m0RPakQTneNZA98TjRav8JVJ3sqXQaV+4o9d//0O/dcxx7sT17fvYXP5eRkRN7J3nlLwnjNK79H8D5PUD2hFMPZE84tTA9QfaEVQ9kTzj1QPaEUwvTE2SP7O2bE83OWZyWW0tTcmd5RiZX5qNitZh9dPY2Re6TY2YPHXOMeXu/tDX43T8E2RPW8wPZE049kD3h1IKelCdQdbLH3O78wqJ8/ktfk7Gx8ejuP/vpj+6JnWKyJ//oddO+o71d/vAPPhYJHrPh8xe/8s09im979PzefkDInrCeXsiecOqB7AmnFsiesGpheoPsCacmyJ5wanGYZM/06kIkcsZWpuWto8tnou93xew/WBsdXX7UbIpsZudES6/M137paW5PrWjIntRQx7oQsicWplQaIXtSwcxFPBCoStnjgUusFMieWJhSa4TsSQ11xQsheyoiSrUBM3tSxV3xYsieiohSa4DsSQ11rAtV08yexY2V7L45M3Iru39ONFtneVrWtzIHfAy2dmWWWpnNkc0+OtmjzMvtoxMLpKdGyB5PID2lQfZ4AukhDbLHA0RSpEIA2eOAGdnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmSPJTiFMGSPAlSHlAdN9mztbEfLrHJLrsaWZ+SW2U9naVqM7DGPzsa2zGbI2aVX5vjyaNlVW5801NU70NIPRfboM05yBWRPElq6bZE9unzJ7o8AsseBJbLHAZ5CKLJHAaplSmSPJTilMGSPEljLtMgeS3AKYcgeBagOKUOVPQsby3J9flJuLE3IzYW3NkeeWJnbu9vu5nY51TUopzoG5VTnkJzoHIwkT2u93310HPAmDkX2JEamGoDsUcWbKDmyJxEuGu8jAWSPA3xkjwM8hVBkjwJUy5TIHktwSmHIHiWwlmmRPZbgFMKQPQpQHVLut+wxs3FGFybk5uKk3FiYyH4/JfPZ067MrTXXN2ZkTseAnOoakpHOITnZOSCdTW0Odx5mKLInrLoge8KpB7InnFrQk/IEkD0OIwTZ4wBPIRTZowDVMiWyxxKcUhiyRwmsZVpkjyU4hTBkjwJUh5RpyR4zU+fGwqTciKTOpFxfnIjkzvx6ZumVebQ0NMnJjgE53jmY+doxEAmegdYuhzs8WKHInrDqhewJpx7InnBqQU+QPWpjANmjhtYqMbLHCptKELJHBat1UmSPNTqVQGSPClarpMgeK2xqQb5lj5mpkxE6E3J9T+5MyFzeTJ32xlY50dEvx9sH5ERnRuiYr30tnWr3eVASI3vCqhSyJ5x6IHvCqQU9QfaojQFkjxpaq8TIHitsKkHIHhWs1kmRPdboVAKRPSpYrZIie6ywqQXZyp6lzVW5Pj8hN5Ym5cb8RGamzuKUzK0t7fXVbJRslltFM3T2pM6gdFfh8itfBUL2+CLpJw+yxw9HH1mQPT4okiMNAizjcqCM7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEIYskcBqkPKSrJneXM12kfHLL0y++pkll9Nymye1Olpbs/KnEE5bmbsdAxEy7CqcU8dB9SxQpE9sTCl1gjZkxrqihdC9lRERINACCB7HAqB7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEIYskcBqkPKnOypbdzNLrvKyJzr2aVY+VLHLLOKZuhkl19FUqdzQNoaWhx6QGg+AWRPWOMB2RNOPZA94dSCnpQngOxxGCHIHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQhexSgJki5vLkm17OnX5mv0UlYC1Myu764l2WwtTvaR+d4Z2aGzrGO/uhrS8PBPdI8AaJ9bYrs2Vf891wc2RNOPZA94dSCniB71MYAskcNrVViZI8VNpUgZI8KVuukyB5rdCqByB4VrFZJkT1W2BIHrWytZfbUMTN0zPKrrOCZXn1L6hxp65Fjbf1ypK1XzvQOR3LHSJ6muobE1yPADwFkjx+OvrIge3yRdM+D7HFnSIZ0CDCzx4EzsscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyB6/UFc21zIyZzEzQ8d8NZJnZu0tqTOcnZkTzdRpz8zYOd7eLw119VJpzx6/vSVbJQLInkqE0v05sidd3uWuhuwJpxb0pDwBZI/DCEH2OMBTCEX2KEC1TInssQSnFIbsUQJrmRbZYwlOIQzZYwd1dXM9OvkqM1vnrX11plcXooQ1NTWZ5VZZmZM7ztx8ra2pLXlRZI9dPbSikD1aZO3yInvsuGlEIXs0qJJTgwCyx4EqsscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyJ7yUNe21jP76CxOyY3cnjqLkzKVlTp1NbWZ0672jjQfzOyv09FvVS1kjxU2tSBkjxpaq8TIHitsKkHIHhWsJFUggOxxgIrscYCnEIrsUYBqmRLZYwlOKQzZowTWMi2yxxKcQhiyJwN1dWsjM0PHzNRZmtqbsZOTOo119ZHUMX9ys3SOt5vNkvu8VgXZ4xWnczJkjzNCrwmQPV5xOiVD9jjhIzhFAsgeB9jIHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQdNtljpM7N7DHmmRk7k9HR5pOr8xHd5vrGjNApONLcbJ6cxgPZkwbl+NdA9sRnlUZLZE8alONdA9kTjxOt9p8AssehBsgeB3gKocgeBaiWKZE9luCUwpA9SmAt0yJ7LMEphFWr7FnLzdTJbpJ8c8GcgjUhEysZqdNa35wROtnNkaOvHYMy2NqlQDl+SmRPfFZptET2pEE5/jWQPfFZabdE9mgTJr8vAsgeB5LIHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQddNmztbMdSZzR+Ylobx2zr47ZOHlieS6i1d7QkpE6HYPRqVcnzVKszgHpa+5QoOmeEtnjztBnBmSPT5ruuZA97gx9ZUD2+CJJHm0CyB4HwsgeB3gKocgeBaiWKZE9luCUwpA9SmAt0yJ7LMEphB0k2TO2NC3XzbHmc+MyujAuo4sTcmtxKqLS0dgqJ7sG5WRW6pxo64+kTk9zuwI1vZTIHj22NpmRPTbU9GKQPXpsk2ZG9iQlRvv9IoDscSCP7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEJYiLJnZWtNrs6Ny7WFcbk2f0dG5zNyZ2N7S+pr6+RU55Cc6hqKZunkvj9oUqdUKZE9CoPcISWyxwGeQiiyRwGqZUpkjyU4wlIngOxxQI7scYCnEIrsUYBqmRLZYwlOKQzZowTWMi2yxxKcQth+y57bSzNybeGOXJsfl2tzd+Tqwh2ZzO6rYzZFHuk6Iqc6BzNyp3NIjrX7Pf1KAalTSmSPEz7vwcge70idEiJ7nPB5DUb2eMVJMkUCyB4HuMgeB3gKocgeBaiWKZE9luCUwpA9SmAt0yJ7LMEphKUle9a3NiOpczWaqTOxN2vHbKTcUFsXSZ23/gzKfV1HpLm+SeGOw06J7AmrPsiesOqB7AmnHsiecGpBT8oTQPY4jBBkjwM8hVBkjwJUy5TIHktwSmHIHiWwlmmRPZbgFMI0ZI85xjw3Uycza+eOjC3NRL3va+mUka4hOZ2VO+brcJXP1klSNmRPElr6bZE9+oyTXAHZk4SWbltkjy5fsvsjgOxxYInscYCnEIrsUYBqmRLZYwlOKQzZowTWMi2yxxKcQpiL7Nne3YlEjll+ldlfZ1yuzo/L8uaq1NbU7M3UMcuwMnJnKNpImUdpAsiesEYHsieseiB7wqkHsiecWtCT8gSQPQ4jBNnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmSPJTiFsLiyZ3ZtKbNZ8sK4XIkEz3h05Ll5dDW17omdnNQxGyfzSE4A2ZOcmWYEskeTbvLcyJ7kzLQikD1aZMnrmwCyx4EosscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphxWSPETqZWTqZJVjmz/z6SnT1Ex2DMtKdWYZl/hipUy0nYSngTZwS2ZMYmWoAskcVb+LkyJ7EyNQCkD1qaEnsmQCyxwEosscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcJ7DFjdWomVXL9+5LhMbs3szd3Z2d6WtoUVOdw/JSGf2T3dmA+W6mlrPvSBdPgFkT1jjAdkTVj2QPeHUA9kTTi3oSXkCyB6HEYLscYCnEIrsUYBqmRLZYwlOKQzZowTWMi2yxxKcQ9itxam9E7CM4DGzdaZXF6KMQy3dcn/vsIx0HpGRSOoMyUBLl8PVCLUlgOyxJacTh+zR4WqbFdljS85/HLLHP1My6hBA9jhwRfY4wFMIRfYoQLVMieyxBKcUhuxRAmuZFtljCS5G2NrWejRbJyd0MsuwxmVzZ0ua6xsze+uY2TrZpVgn24dkeXld+rrbY2SniTYBZI824WT5kT3JeGm3RvZoE46fH9kTnxUt95cAsseBP7LHAZ5CKLJHAaplSmSPJTilMGSPEljLtMgeS3AFYXeWM0uvopOw5jKbJ5u/M4/Btm451TEkp7MzdcysnaPtvfdcOO4GzX56TJZKBJA9lQil+3NkT7q8K10N2VOJUHo/R/akx5oruRFA9jjwQ/Y4wFMIRfYoQLVMieyxBKcUhuxRAmuZFtmTDNzG9lZmP53FjNS5Nj8hVxbuyNrmutTX1uYtvzKzdgYjwdNa3xzrIsieWJhSa4TsSQ11rAshe2JhSq0Rsic11BUvhOypiIgGgRBA9jgUAtnjAE8hFNmjANUyJbLHEpxSGLJHCaxlWmRPaXBmHx0zU+dqJHXuyNWFOzK2OB0F9DZ3RPvpRPvqmP11OofkROeAZRUyYcgeJ3zeg5E93pE6JUT2OOHzHozs8Y7UOiGyxxodgSkTQPY4AEf2OMBTCEX2KEC1TInssQSnFIbsUQJrmRbZYyTLbiRyMjN1xuVaNGtnXMwJWeZh9tY51TUkpzszx5ybPXY6G9ssiZcOQ/Z4R+qUENnjhM97MLLHO1KnhMgeJ3xeg5E9XnGSTJEAsscBLrLHAZ5CKLJHAaplSmSPJTilMGSPEljLtIdN9sytL8to9gSsjOAZj/bXMY+OxtboiPPTZqZOVuqYWTtpPZA9aZGOdx1kTzxOabVC9qRFOt51kD3xOKXRCtmTBmWu4YMAsseBIrLHAZ5CKLJHAaplSmSPJTilMGSPEljLtNUse24sTkQyx0id3FIsI3vM43jnQDRTJzdrx0idvpYOS4p+wpA9fjj6yoLs8UXSTx5kjx+OvrIge3yRdM+D7HFnSIZ0CDjJnvmFRfn8l74mY2OZf6Er9xgeHpLPfeaT0tW5v2/sKvUzyc+RPUlo6bdF9ugzjnsFZE9cUum0Q/akwznuVapB9qxursubc7czS7HmxzMzdxbuyPbOjrQ2NGeON4/213lr1k59bV1cRKm1Q/akhjrWhZA9sTCl1gjZkxrqWBdC9sTClEojZE8qmLmIBwJOsqfw+s88+wMZHj4i73v8PXs/Wltfl29867vyW7/5G3LxwjkPXQ4nBbInnFqYniB7wqkHsiecWpieIHvCqsdBkz05sfPm3FgkeMzXsaXMpslH2nqimTrRvjrRnyEZbO0OC3iZ3iB7wioVsieseiB7wqoHsieceiB7wqkFPSlPwJvsMbN8vvr0d+TJJz4gp04cv+uqz790Wf7sR38uH//IU9Lc1FQ1NUH2hFVKZE849UD2hFMLZE9YtTC9CVn2rG1tyBuzRurcK3aG2/vk/u5hub/76N7XloaD/Tsd2RPW8wPZE1Y9kD1h1QPZE049kD3h1IKeBCB7Rm/cFDPr51Mf+yDLuBiRagSQPWpoEydG9iRGphrAzB5VvImThyJ7zIlYr8/diuTOG3Nj8sbsLbmxMBndTzWKnWKFQvYkHr6qAcgeVbyJkyN7EiNTDUD2qOJNlBzZkwgXjfeRgLeZPbnlWo8+cv6uZVzm3szMnme//xx79uxjoQ/DpZE94VQZ2RNOLUxPkD1h1WO/ZI85Aev1mbfkjpm9Yx6DrV1ypueYnOkejr4+0DMszfUHe8ZO3Ioje+KSSqcdsicdznGvguyJSyqddsiedDjHuQqyJw4l2oRAwJvsyUmdP/rjP5E//IOP7S3lym3i/Ph7332PBAoBgEsfWMblQs9/LLLHP1PbjMgeW3I6ccgeHa62WdOQPWNLM/Lm7C15ffZWZtbO3Jhsbm9JV1NbRuhEYicjd8zfHdYHsiesyiN7wqoHsieseiB7wqkHsiecWtCT8gS8yh5zqWIndH320x+tus2Zzb0ie8J6eiF7wqkHsiecWpieIHvCqodv2TO1siBvzGeWYUVyZ2ZMVrbWotk5ZpZO/qwdM4uHx1sEkD1hjQZkT1j1QPaEVQ9kTzj1QPaEUwt6krLsOUzAkT1hVRvZE049kD3h1ALZE1YtTG9cZM/CxnJmj53oj5E7YzK3viR1NbV7S7BycudYR394Nx9Yj5A9YRUE2RNWPZA9YdUD2RNOPZA94dSCniB71MYAskcNrVViZI8VNpUgZI8KVuukzOyxRqcSGFf25E7GMlInN3NnfHku6pM56jy3v475av6fR3ICyJ7kzDQjkD2adJPnRvYkZ6YZgezRpJssN7InGS9a7x8Br8u4zKlbX/jy07K4tHTPHQ0PDwWzQbPZMPqLX/lm1Me4/Sp2ohiyZ/8GbrErI3vCqQeyJ5xamJ4ge8KqRzHZU+5kLDNDJ3/zZCN3zEweHu4EkD3uDH1mQPb4pOmeC9njztBnBmSPT5puuZA9bvyITo+AN9mTfxrXw2fPyJ/+Pz+S/+X3fleam5qiY9ff+Y6LQezbY6TN17/9jHziw09Gm0j/8Mc/lRdevCQf/8hTUV8LH/l7EBWKIWRPegM1zpWQPXEopdMG2ZMO57hXQfbEJZVOOyN7Jjbm5NrC7b1jzzkZKx32hVdB9uwP91JXRfaEVQ9kT1j1QPaEUw9kTzi1oCflCXiTPUaKfPXp78iTT3wguqIRPJ/62Aelq7MjOnr9z3705yWFSppFMnJnbOzOXj8L5U+pvjCzJ80q2V0L2WPHTSMK2aNB1T4nsseenY/IwpOxzD47WzucjOWDrWsOZI8rQb/xyB6/PF2zIXtcCfqNR/b45emSDdnjQo/YNAmoyJ7uri754+/+B/nQU/82kg49nTUAACAASURBVD3FREmaN5l/LSOhzCMnpXIzd574nfeXnXmE7NmvisW/LrInPivtlsgebcLJ8iN7kvFyaR3nZKxjzf1yduCkHOvsdbkUsR4IIHs8QPSYAtnjEaaHVMgeDxA9pkD2eITpmArZ4wiQ8NQIeJM9+cu43vf4e6KZPcPDR8R8X2mpVGp3m51xlOuXua4P2VNTU5PmLXCtEgTMnheZUlCPEAZJph7UIoRaiOxmu0E9fNZjcXNFri3ckWuLd6KvVxfviDkty+ynM9JxREY6j8pI5xE53XFEjrS+JXZ2ZTf7KkU9fNbDNhevVbbkNOLMs8P8Fue5oUE3aU5eq5IS023Pa5Uu32TZd8X8YwHvc5NRs2nd191mE0ZM7p3/8sp67lOAVyj5e910tLfLH/7Bx6I9cvb7oTGzh0G431XNXH9+cU3aWhulvo6NS/e7ImZmz/zSqvR0tu53V7h+tEHzpuxsi7S1NsDDkkB0MtZc5rjzN+Zvy5uzt+Tuk7GG5Uz3MTnTM1zxZKzFpTVpamqUxgZeqyzL4S3MvFmfXViW3i7eTHqD6pBofWNbNje3pL3t3j0UHdISaklgeWVD6upqpbmp3jIDYT4JzMyvSE9nC4LBJ1TLXJtbO7K6tiGd7c2WGQiLSwChFpdU8XbeZva4dSO9aPbsSY912ldiGVfaxEtfj2Vc4dTC9IRlXMnqoX0yVtyj15P1mtY2BFjGZUNNL4ZlXHpsbTKzjMuGml4My7j02CbNzDKupMRov18EvMue/GPNczf12U9/NIiTuEx/Kp3GZWTQj3/ys3uOiWfPnv0aovGvi+yJz0q7JbJHm3Cy/Mie8rxGF8bl9ZlbqZ2MhexJNn41WyN7NOkmz43sSc5MMwLZo0k3eW5kT3JmWhHIHi2y5PVNwKvsMaLn2e8/d5coMZLkC19+Wv71v/ztaP+eEB75QqrwOPVC2ZO/HC3X98ff++vRBs8cvR5CNd/qA7InnHoge8KphekJsuetehSejGWWZm1up3syFrInnOcHsiecWpieIHvCqgeyJ6x6IHvCqQeyJ5xa0JPyBLzJntwGzb/1m79xzyyekI5e9zkgkD0+abrnQva4M/SVAdnji6SfPIdV9sQ5GetM97Cc6Tkmg61dfmDHyILsiQEppSbInpRAx7wMsicmqJSaIXtSAh3zMsiemKBSaIbsSQEyl/BCwJvsMTNgvvr0d6IZL4UbMYd09LoXatkkyB6fNN1zIXvcGfrKgOzxRdJPnsMge2bXluTN7AbKV+buyOuzt2RufSk6GcvInAd6MlLHyJ1jHf1+wFpmQfZYglMIQ/YoQHVIiexxgKcQiuxRgOqQEtnjAM9zKLLHM1DSqRHwJnuY2aNWIxLHJIDsiQkqhWbInhQgJ7hEtcmeQrFjJM/M2mJE5P7u4ejPmZ6jkdw53XUkAal0miJ70uEc5yrInjiU0muD7EmPdZwrIXviUEqvDbInPdaVroTsqUSIn4dCwJvsMTdUbHPjEPfs8QWfmT2+SPrJg+zxw9FHFmSPD4r+chxk2bMrIpenR+XV6Ztyefp6NHunUOzc33NkT/L4o6aXCdmjxzZpZmRPUmK67ZE9unyTZkf2JCWm2x7Zo8s3SXZkTxJatN1PAl5lj7mR0E/j8gkb2eOTpnsuZI87Q18ZkD2+SPrJc5Bkz/z6SiR3Xpm5Ia9M35BXZ25EEMzSq7O9J+TB3mMHSuwUqyCyx8+49pEF2eODor8cyB5/LH1kQvb4oOgvB7LHH0vXTMgeV4LEp0XAu+xJq+MhXAfZE0IV3uoDsieceiB7wqmF6UnIsufG4kQ0Y+eVmZvyytR1ub08IzU1NXKu76Q81HtczvWdkrO9x6WjsTUsqA69QfY4wPMciuzxDNQxHbLHEaDncGSPZ6CO6ZA9jgA9hiN7PMIklSoBZI8DXmSPAzyFUGSPAlTLlMgeS3BKYaHInq2d7WimzuUpI3duyOXpG7KytSbdTW1ZuXNCzmYljxKKINIie4IoQ9QJZE84tTA9QfaEVQ9kT1j1QPaEUw9kTzi1oCflCSB7HEYIsscBnkIoskcBqmVKZI8lOKWw/ZI906uL8srMdXll+rq8OnMzOiHLPE52DEZy52zfcTnbd0qOtPUo3XmYaZE94dQF2RNOLZA9YdXC9AbZE1ZNkD3h1APZE04t6Imi7DHHrX/+S1+TsbHxipyHh4fkc5/5pHR1dlRse1AaIHvCqhSyJ5x6IHvCqYXpSVqy5+r8nUjumBk7r07fkImVOWmoq88uxzoZ7blzrvektDQ0hQUo5d4ge1IGXuZyyJ5waoHsCasWyJ7w6oHsCacmyJ5wakFPFGXPYYeL7AlrBCB7wqkHsiecWmjJnvXtzWgDZTNr5/JMZubO2taG9LV0RlLHLMcyX8/0DIcFI4DeIHsCKEK2C8iecGqB7AmrFsie8OqB7AmnJsiecGpBT5A9amMA2aOG1ioxsscKm0oQskcFq3VSHzN7JlfmI7GTm7ljZvGYx31dR6PlWA9FcuekDLZ2WffzsAQie8KpNLInnFoge8KqBbInvHoge8KpCbInnFrQk32QPWZ511ef/o48+cQH5NSJ41VbA2RPWKVF9oRTD2RPOLUwPbGRPW/MjWWWY5k9d6auy/TaojTXN8rZvhNytufE3obKTfUNYd3sAegNsiecIiF7wqkFsiesWiB7wqsHsiecmiB7wqkFPUH2qI0BZI8aWqvEyB4rbCpByB4VrNZJK8kecyLWK9M3s0egmw2Vb4g5OWuwtTu7HMscgX5SRrqOWPeBwLcIIHvCGQ3InnBqgewJqxbInvDqgewJpybInnBqQU+QPWpjANmjhtYqMbLHCptKELJHBat10kLZc3tpJnMEutlzZ+a6XF+YiHKf6T4m5/pPyENmI+W+k9LbXD0b6lvDUwhE9ihAtUyJ7LEEpxTG0etKYC3TchqXJTilMGSPEliLtMgeC2iE7AsBlaPXWca1L7U89BdF9oQzBJA94dTC9OSF8avRBspXFsaifXfm1pelraH5ro2UzfKs+tq6sDpepb1B9oRTWGRPOLUwPUH2hFUPZE9Y9UD2hFMPZE84taAn5QkgexxGCDN7HOAphCJ7FKBapkT2WILzELa4uSKXp8yMHXP8udlQ+Ybs7O7KkdYeeXhgRM72Ho+OPz/eOeDhaqSwIYDssaGmE4Ps0eFqmxXZY0tOJw7Zo8PVNiuyx5ac/zhkj3+mZNQhoCJ7dLoaXlZkT1g1QfaEUw9kT3q1uLU4ldlrZ9bsuTMqY4vT0cWj48/7M8efn24/Im11rdLW2phex7hSSQLInnAGB7InnFqYniB7wqoHsieseiB7wqkHsiecWtCT8gScZU/hkq1iS7hGb9yUZ579gXzqYx+Urs7q2QMC2RPW0wvZE049kD06tdjZ3Ylm6pgNlM0fI3mWNlels6ktM2On75Q8FH09eVcHKm3QrNNbspYigOwJZ2wge8KpBbInrFqY3iB7wqoJsieceiB7wqkFPUH2qI0BZI8aWqvEyB4rbCpByB4/WOfWl7JixyzHuhltqmweJzoH5GzPyegY9If6Tsix9r6yF0T2+KmHryzIHl8k3fMge9wZ+szAzB6fNN1zIXvcGfrMgOzxSdMtF7LHjR/R6RFgZo8Da2SPAzyFUGSPAlTLlMgeO3ATK3Py0uRVuTR9PVqSZU7NqqupjWbqGKljvpoZPG0NLYkugOxJhEu9MbJHHXHsCyB7YqNKpSGyJxXMsS+C7ImNKpWGyJ5UMMe6CLInFiYaBUAA2eNQBGSPAzyFUGSPAlTLlMieeODy5Y6RPOb/zSlZF/pH5OH+ETnXd0Ie6DkWL1mZVsgeZ4ReEyB7vOJ0SobsccLnPRjZ4x2pU0JkjxM+78HIHu9IrRMie6zREZgyAWSPA3BkjwM8hVBkjwJUy5TInuLgJlfm5cXJK9HMnUK5c75/RC4MjMjpriOW1EuHIXu8I3VKiOxxwuc1GNnjFadzMmSPM0KvCZA9XnE6J0P2OCP0lgDZ4w0liZQJIHscACN7HOAphCJ7FKBapkT2ZMDNrC1GUufFqWvR1zvLs3szdzTlTmHZkD2WA1kpDNmjBNYiLbLHAppiCLJHEa5FamSPBTTFEGSPItyEqZE9CYHRfN8IeJE9n//S12RsbLzsTQwPD8nnPvNJTuPat1JX/4WRPeHU+LDKnoWNZXlx0oida/LC5BUZW5qW5vrGaFnWhYHT8sjAiNzXdTT1QiF7Ukde9oLInnDqgewJpxamJ8iesOqB7AmrHsiecOqB7AmnFvSkPAFn2XOYATOzJ6zqI3vCqcdhkT3m2PNLU6OZ2TuT12R0YVwa6+rl4b5T8ujAfdGyLB977rhWFtnjStBvPLLHL0+XbMgeF3r+Y5E9/pm6ZET2uNDzH4vs8c/UNiOyx5YccWkTQPY4EEf2OMBTCEX2KEC1TFmtsmdla00uT9+QF43cmbgqV+ZvS31tXXQE+iP9pyO5Y0RPaA9kT1gVQfaEUw9kTzi1MD1B9oRVD2RPWPVA9oRTD2RPOLWgJ+UJIHscRgiyxwGeQiiyRwGqZcpqkT2rWxvy2sxNeXHqajR759WZm1IjImf7TsojZllWVvBYYkotDNmTGupYF0L2xMKUSiNkTyqYY18E2RMbVSoNkT2pYI59EWRPbFTqDZE96oi5gCcCyB4HkMgeB3gKocgeBaiWKQ+q7NnY3pJXZ27IpenRaObOy9OjEYGHek/Iw/2nsoJnJJrNc5AeyJ6wqoXsCaceyJ5wamF6guwJqx7InrDqgewJpx7InnBqQU/KE0D2OIwQZI8DPIVQZI8CVMuUB0X2bO1syyszN+SV6evR7B2z787u7q6c6R6W8wOn5IKZudM/Em2yfJAfyJ6wqofsCaceyJ5waoHsCasWpjfInrBqguwJpx7InnBqQU+QPWpjANmjhtYqMbLHCptKUKiyx4gcI3fMcqwXJq7IS1PXZHNnKzohy+y7Y07MenRgRNoaWlS47FdSZM9+kS9+XWRPOPVA9oRTC2RPWLVA9oRXD2RPODVB9oRTC3qC7FEbA8geNbRWiZE9VthUgkKSPUbsvDJ9Q16eviYvTF2Ttc11OdU5JGd7T8iFwRF5pP8+6WpqVeEQSlJkTyiVyPQD2RNOPZA94dQC2RNWLZA94dUD2RNOTZA94dSCniB71MYAskcNrVViZI8VNpWg/ZQ9b8zekldmbsrLU9eiZVnmePQTHYOR3Hm4P7Oxcl9Lp8p9h5oU2RNWZZA94dQD2RNOLZA9YdUC2RNePZA94dQE2RNOLegJskdtDCB71NBaJUb2WGFTCUpT9lyZux3JnVenr8sLU1dlbm1Jhtv7ohOzHu47GS3NGmrtVrnPg5IU2RNWpZA94dQD2RNOLZA9YdUC2RNePZA94dQE2RNOLegJskdtDCB71NBaJUb2WGFTCdKUPaML49GGyq/M3JKXJq/I1OqCHG3vlYd6T8rZ3mPRcejDHf0q93VQkyJ7wqocsieceiB7wqkFsiesWiB7wqsHsiecmiB7wqkFPUH2qI0BZI8aWqvEyB4rbCpBPmXPjcXJrNzJLM26szwrQ23d8mDvCTnba2bunJKTHYMq91EtSZE9YVUS2RNOPZA94dQC2RNWLZA94dUD2RNOTZA94dSCniB71MYAskcNrVViZI8VNpUgF9lza3FKXp25IZenb8jlmeti/n+gtUse6j0hD/Yel/N9p+S+7qMq/a7WpMiesCqL7AmnHsiecGqB7AmrFsie8OqB7AmnJsiecGpBT5A9amMA2aOG1ioxsscKm0pQEtkztjQtr2VPzDLHoptlWr3N7dGeO2b2zrm+E/Jgz3GVfh6WpMiesCqN7AmnHsiecGqB7AmrFsie8OqB7AmnJsiecGpBT5A9amMA2aOG1ioxsscKm0pQOdljlmG9NnMjO3vnplydvy3dTW2R3MnM3jkmD/edUunXYU2K7Amr8siecOqB7AmnFsiesGqB7AmvHsiecGqC7AmnFvQE2aM2BpA9amitEiN7rLCpBOXLnsnVeXll+kZW8NyU12dvSWdjmzzUeyw7e+e4nO8fkRqVnpDUEED2hDUOkD3h1APZE04tkD1h1QLZE149kD3h1ATZE04t6AmyR20MIHvU0FolRvZYYfMetLCxLJcmr8s/3X5DRpcnohk8bQ0tcrb3eHb2znE523tCGurqvV+bhMUJIHvCGhnInnDqgewJpxbInrBqgewJrx7InnBqguwJpxb0BNmjNgaQPWporRIje6yweQm6PH1dzJ9LU9fk5enrsiu78kDnMbkwOLI3e6elvtHLtUiSnACyJzkzzQhkjybdZLmRPcl4abde39iSjc0t6Whr1r4U+WMQWFpZl/q6WmluaojRmibaBJA92oTj50f2xGdFy/0lULO8sr67v104uFdH9oRVO2RPevW4vTwjL0+OyqXpUbk8PRodh35f11E5339SzvWdiv7srIv0drWl1ymuVJIAsieswYHsCaceyJ5wamF6guwJqx7InrDqgewJpx7InnBqQU/KE0D2OIwQZI8DPIVQZI8C1GzK9e1NeXl6VF6cvCovT43KqzM3pa+lI9pI+eH+U9GeOyc6BvY6kOQ0Lr1ekzlHANkT1lhA9oRTD2RPOLVA9oRVC9MbZE9YNUH2hFMPZE84taAnyB61MYDsUUNrlRjZY4WtZNDNxSl5aeqqXJoalZcmr8rc+rKcHxiRC30ZuWMkT11NbdF4ZI/fWrhmQ/a4EvQbj+zxy9MlG7LHhZ7/WGb2+GfqkhHZ40LPfyyyxz9T24zIHltyxKVNoCpn9swvLMrnv/Q1GRsbj3h+9tMflYsXzpVkW6796I2b8oUvPy2LS0t78cPDQ/K5z3xSNrcz5wf197SnXTeuV4QAssdtWKxtbUTLsozYMYLHnJo11NYt5/tPR4LnwsBpGWjtinURZE8sTKk1QvakhjrWhZA9sTCl0gjZkwrm2BdB9sRGlUpDZE8qmGNfBNkTG5V6Q2SPOmIu4IlA1cmetfV1+ca3viuPPnJe3vf4e8TImq9/+xn5xIeflFMnjt+DrVL7cvHM7PE0Cj2lQfYkB3ljcUJenByVl6euyYuT12RxY0UuDIzI+b4RuTCQmcFj80D22FDTi0H26LG1yYzssaGmE4Ps0eFqmxXZY0tOJw7Zo8PVNiuyx5ac/zhkj3+mZNQhUHWyx8iZZ579gXzqYx+Urs4OKZQ5hRgrtUf26Aw8jazInspUV83snalr8tLUNbk0eU3emBuTI2090aydaHnWwGnpb+msnKhCC2SPM0KvCZA9XnE6J0P2OCP0lgDZ4w2ll0TIHi8YvSVB9nhD6SURsscLRi9JkD1eMJIkBQJVJ3uef+myPPv956JlVkb2mIeRP+bx5BMfuAdppfaFy7hyS7hMbmb2pDBCE1wC2VMc1ujCuLxkTs4ykmfymqxsrWX33jGzd0bkXN/JBJTjNUX2xOOUVitkT1qk410H2ROPUxqtkD1pUI5/DWRPfFZptET2pEE5/jWQPfFZabdE9mgTJr8vAlUpe/7sR38uH//IU9Lc1BRL9iRpb8TR1PR0lH9pZTPK39hQ56se5HEgsLW9I3V1NWL+O8wPM3vn8sx1eXXuulyevS5G9hxp7ZGHek7IuZ6TcrbnpPQ0Z0So5sP8Imyo57mhyThubiPfdkWkrvZwPzfi8tJuZ16ramtrpLaGemizjpOf16o4lNJps7O7K7s7u1JXV3zz/3R6wVVyBLZ3dqL3VOb1isf+E+C1av9rkOvB7u6ubO/sSj2vVepF6WxvUb9GNV+gKmWPz5k9hcXPX/aV26CZQRjGU2RpeV1amhsO5ZtEI3TM0egvz4xGX81my2bfHTNrx3x9sOfe/ao0q2bkwvLqunS0NWtehtwxCaxvbsrutkhzc0PMCJppElhZXZfGhgapr+cDrSbnOLnNzJ7F5VXh93gcWvptNje3ZXN7W1qbG/UvxhUqElhd24z+Ea2xob5iWxroE1hYWpOOtiap4R8K9GFXuIL5R5v19U1pa81MLOChR4BJFW5sq072VNqDp5y8SbrHD6dxuQ0+39GHaRnX8uZaZt+d7NKsq/N3ZLijP7vvzohc6B+R3hRm75SqIcu4fI9ut3ws43Lj5zuaZVy+idrnYxmXPTuNSJZxaVC1z8kyLnt2GpEs49KgapeTZVx23IhKn0DVyZ44p2uZo9R//0O/Fx3HXqn9z/7i5zIycmLvJK/8/X/Ysyf9AVvuitUue67M346ORM8cjX5dNnc25eG+U/LIwGk5339KHuo9EUxBkD3BlCLqCLInrHoge8KpB7InnFqYniB7wqoHsieseiB7wqkHsiecWtCT8gSqTvaY251fWJTPf+lrMjY2Ht39Zz/90UjsmEduw+Wc7KnU3mzg/MWvfHOP4tsePb+3HxCyJ6ynV7XJnqXNVXlpalQuTV6NjkU3S7WOdw7sHYt+oW9EupvbwypCtjfInrDKguwJqx7InnDqgewJpxbInrBqYXqD7AmrJsiecOqB7AmnFvTkEMqetIqO7EmLdLzrVIPseXNubE/wvDQ9Kju7O3K+75Rc6M/M3nmwN929d+KRv7cVsseWnE4cskeHq21WZI8tOf9xyB7/TF0yMrPHhZ7/WGSPf6YuGZE9LvT8xiJ7/PIkmx6BqpzZo4fr7szInrRIx7vOQZQ9CxvL0ZKszNKs0Wj2zomOwWjPnfMDZu+dU9LV1BYPQECtkD0BFYNlXGEVQ0SQPeGUBNkTTi1MT5A9YdUD2RNWPZA94dQD2RNOLehJeQLIHocRguxxgKcQelBkz+uzt+TlqVF5cfJqdHKWeeT23nm4/5Q80HNMgU66KZE96fKudDVm9lQilO7PkT3p8i53NWRPOLVA9oRVC9MbZE9YNUH2hFMPZE84taAnyB61MYDsUUNrlThU2TO/vpw5OWtyNPp6Y3FCTprZOwMjcr5/RB4ZGJGOxlarew41CNkTVmWQPWHVA9kTTj2QPeHUAtkTVi2QPeHVA9kTTk2QPeHUgp4ge9TGALJHDa1V4pBkj5m989Jk9mj0qWtSW1snF/pOyvmB09HSrPu7h63u8aAEIXvCqhSyJ6x6IHvCqQeyJ5xaIHvCqgWyJ7x6IHvCqQmyJ5xa0BNkj9oYQPaoobVKvJ+yZ3ZtSS5NXcsInplRubkwKac6h6JZOw9nZ++0N7RY3ddBDEL2hFU1ZE9Y9UD2hFMPZE84tUD2hFULZE949UD2hFMTZE84taAnyB61MYDsUUNrlTht2XN5+nq0qbKRPGbvnfqa+uzSrFPR1/u6jlrdRzUEIXvCqiKyJ6x6IHvCqQeyJ5xaIHvCqgWyJ7x6IHvCqQmyJ5xa0BNkj9oYQPaoobVKrC17bi1Oy+XpUbk0PRptsDyxMhcJHXMkenRy1sCItNU3W/W92oKQPWFVFNkTVj2QPeHUA9kTTi2QPWHVAtkTXj2QPeHUBNkTTi3oCbJHbQwge9TQWiX2LXtWttaiY9HNzB0zi+e1mZvS19Ip5sSsh/tOyoW+ETneOWDV12oPQvaEVWFkT1j1QPaEUw9kTzi1QPaEVQtkT3j1QPaEUxNkTzi1oCfIHrUxgOxRQ2uV2IfsmVyZl3+afEOeH78i/zRxRda3NyKxY07NMn/O9Z2Q2ppaq/4dpiBkT1jVRvaEVQ9kTzj1QPaEUwtkT1i1QPaEVw9kTzg1QfaEUwt6guxRGwPIHjW0VoltZc/owngkdp4ff1Oen3xTeprb5eLg/fLYwP1yYeB09P88khFA9iTjpd0a2aNNOFl+ZE8yXpqtkT2adJPnXt/Yko3NLeloY0l0cnr+I5ZW1qW+rlaamxr8JydjYgLInsTI1AKQPWpoSeyZQM3yyvqu55yHJh2yJ6xSJ5E9ZlnWC0bwTF6Jlmgd6+iXxwbuk4tD98vFgfulsa4+rJs7YL1B9oRVMGRPWPVA9oRTD2RPOLUwPUH2hFUPZE9Y9UD2hFMPZE84taAn5QkgexxGCLLHAZ5CaDnZs7O7G83aMbN3zCweM5vngZ5jcnHwvmgGj9lgmYc/Asgefyx9ZEL2+KDoLweyxx9L10zIHleCfuORPX55umZD9rgS9BuP7PHL0yUbsseFHrFpEkD2ONBG9jjAUwgtlD3Lm6vZ5VlXon14zH48jwyclscG748kz/3dwwq9IKUhgOwJaxwge8KqB7InnHoge8KphekJsieseiB7wqoHsieceiB7wqkFPSlPANnjMEKQPQ7wFEKN7FmrWZUXZ67ubbC8ubOVlTsZwXOsvU/hyqQsJIDsCWtMIHvCqgeyJ5x6IHvCqQWyJ6xamN4ge8KqCbInnHoge8KpBT1B9qiNAWSPGtpEiXMbLP9i7HW5NHNVOhpb5LGhBzJ78AzezwbLiWj6aYzs8cPRVxZkjy+SfvIge/xw9JEF2eODor8czOzxx9JHJmSPD4r+ciB7/LF0zYTscSVIfFoEmNnjQBrZ4wDPMbRwg+UjbT1ytvuUvPPYg/L2oTPSUt/oeAXCXQgge1zo+Y9F9vhn6pIR2eNCz28ssscvT9dsyB5Xgn7jkT1+ebpmQ/a4EvQXj+zxx5JMugSQPQ58kT0O8BKGFttg+XTXkWhp1tsGz8ijg/dJktO4El6e5gkJIHsSAlNujuxRBpwwPbInITDF5sgeRbgWqZE9FtAUQ5A9inAtUiN7LKAphSB7lMCS1jsBZI8DUmSPA7wYocU2WH6471QkeMyfh3pP3JUF2RMDakpNkD0pgY55GWRPTFApNUP2pAQ6xmWQPTEgpdgE2ZMi7BiXQvbEgJRiE2RPirArXArZE04t6El5AsgehxGC7HGAVyLUnJhlTs56fvxKdJLW+vaGXMzuvfPY0H1yomOw5EWRPf7rYZsR2WNLTicO2aPD1TYrsseWnP84ZI9/pi4ZkT0u9PzHInv8M3XJiOxxoec3FtnjlyfZTVZZ+AAAHi1JREFU9AggexzYInsc4OWF5jZYfn78TXl+8k1pbWiRx8zsnazkGWjtinUhZE8sTKk0Qvakgjn2RZA9sVGl0hDZkwrmWBdB9sTClFojZE9qqGNdCNkTC1NqjZA9qaGueCFkT0VENAiEALLHoRDIHnt4hRssD7Z2ycWBM3Jx6L5I9LQ1tCROjuxJjEwtANmjhtYqMbLHCptaELJHDW3ixMiexMhUA5A9qngTJ0f2JEamGoDsUcWbKDmyJxEuGu8jAWSPA3xkT3x4xTZYPtk5KI8N3h8dj2724KmrqY2fsEhLZI8TPq/ByB6vOJ2TIXucEXpNgOzxitMpGbLHCZ/3YGSPd6ROCZE9Tvi8ByN7vCO1TojssUZHYMoEkD0OwJE95eEV22D5wZ7j8rYj98vFgfvlXN9JB/r3hiJ7vOJ0SobsccLnPRjZ4x2pU0JkjxM+r8HIHq84nZMhe5wRek2A7PGK0zkZsscZobcEyB5vKEmkTADZ4wAY2XMvvMINlo3wyR2PbpZojXQecSBePhTZo4Y2cWJkT2JkqgHIHlW8iZMjexIjUwtA9qihtUqM7LHCphaE7FFDa5UY2WOFTSUI2aOClaQKBJA9DlCRPRl4hRssN9Y1ZjZYHjT775yRI209DpTjhyJ74rPSbons0SacLD+yJxkv7dbIHm3C8fMje+KzSqMlsicNyvGvgeyJzyqNlsieNCjHuwayJx4nWu0/AWSPQw0Os+wxGyw/P/GmvDB5Vcz3vc0d0d47RvI8NnS/dDa2OZC1C0X22HHTiEL2aFC1z4nssWenEYns0aBqlxPZY8dNKwrZo0XWLi+yx46bVhSyR4ts8rzInuTMiNgfAsgeB+6HTfb848QbYo5H/6eJK9FsnuGOfnksezy6mcXTVNfgQNM9FNnjztBXBmSPL5J+8iB7/HD0lQXZ44ukex5kjztDnxmQPT5puudC9rgz9JkB2eOTplsuZI8bP6LTI4DscWB9GGTPy9Oj8g/jb8jfjb0qNxYn5Ez3sFwcul8eG7hfLgyMONDzH4rs8c/UNiOyx5acThyyR4erbVZkjy05/3HIHv9MXTIie1zo+Y9F9vhn6pIR2eNCz28ssscvT7LpEUD2OLCtVtlzY3FS/vrmJXl+8kq0RMucmmWOSH/7kTNypvuYAzHdUGSPLt8k2ZE9SWjpt0X26DNOcgVkTxJaum2RPbp8k2ZH9iQlptse2aPLN2l2ZE9SYnrtkT16bMnslwCyx4FnNcme2bUl+etbL8vPx16WS1PXolk7bx98INp/53SX3glaDvjvCUX2+KTplgvZ48bPdzSyxzdRt3zIHjd+PqORPT5puudC9rgz9JkB2eOTpnsuZI87Q18ZkD2+SJJHmwCyx4HwQZc9q5vr8re3L8vPxy7L399+TR4ZPC1vH3pA3jF4Ro53DjiQ2Z9QZM/+cC92VWRPOLUwPUH2hFUPZE849UD2hFML0xNkT1j1QPaEVQ9kTzj1QPaEUwt6Up4AssdhhBxE2bO9uyN/d/tV+Zuxy/K3Y5flVOeQ/MrwOXnX8DkZbu91oLH/ocie/a9BrgfInnBqgewJqxamN8iecGqC7AmnFsiesGpheoPsCasmyJ5w6oHsCacW9ATZozYGDpLs+cX46/L3Y69Gs3j6WjoygufoWTnVNaTGJ+3EyJ60iZe+HrInnFoge8KqBbInrHoge8KqBzN7wqoHsieseiB7wqkHsiecWtATZI/aGAhd9jw/fkV+MfGa/N3tV6ShtkF+Zfis/PLRs/JAT7ibLLsUC9njQs9vLLLHL0/XbCzjciXoN56ZPX55umRD9rjQ8x+L7PHP1CUjsseFnv9YZI9/prYZkT225IhLmwDLuByIhyh7zFHp//XOa/KLO6/LxvZmtDzrl48+JA/3nXK404MRiuwJp07InnBqYXqC7AmrHsiecOqB7AmnFqYnyJ6w6oHsCaseyJ5w6oHsCacW9KQ8AWSPwwgJRfa8OTcW7cNjJM/8+pK866hZonVOHh087XB3By8U2RNOzZA94dQC2RNWLUxvkD3h1ATZE04tkD1h1cL0BtkTVk2QPeHUA9kTTi3oCbJHbQzsp+y5uTglP7/1spi9eG4tTss/O2Y2WT4r7xh6QO1+Q0+M7AmnQsiecGqB7AmrFsiesOqB7AmrHszsCaseyJ6w6oHsCaceyJ5wakFPkD1qYyBt2TOxPCd/Pfay/OLOa3JpelTefeKivOvoQ9FmyzxEkD3hjAJkTzi1QPaEVQtkT1j1QPaEVQ9kT1j1QPaEVQ9kTzj1QPaEUwt6guxRGwNpyJ759WX5q1uX5O/vvCr/NP6m/OrxC9Emy2az5YbaerV7O4iJkT3hVA3ZE04tkD1h1QLZE1Y9kD1h1QPZE1Y9kD1h1QPZE049kD3h1IKeIHvUxoCW7Fnd2pC/vnVJ/mbssvzD+OvyziMPyq8cPRfN4GlpaFK7n4OeGNkTTgWRPeHUAtkTVi2QPWHVA9kTVj2QPWHVA9kTVj2QPeHUA9kTTi3oCbJHbQz4lD27u7vyFzdfigTPL8Zfkwd7jsuvnbgQCZ7Oxja1e6imxMiecKqJ7AmnFsiesGqB7AmrHsiesOqB7AmrHsiesOqB7AmnHsiecGpBT5A9amPAh+z5u9uvyF/euiS/uP26DLV1y39z6u3REq2+lk61fldrYmRPOJVF9oRTC2RPWLVA9oRVD2RPWPVA9oRVD2RPWPVA9oRTD2RPOLWgJ8getTFgK3ueH78ifzV2Sf527BVprm+Q377vl+Vdw+fkSFuPWl8PQ2JkTzhVRvaEUwtkT1i1QPaEVQ9kT1j1QPaEVQ9kT1j1QPaEUw9kTzi1oCfIHucx8MMf/1Se/d5zUZ63PXpePv6Rp6S5qUmSyJ7L09ejfXh+PnZZVjc35F+ceZf82rELcrxzwLl/JMgQQPaEMxKQPeHUAtkTVi2QPWHVA9kTVj2QPWHVA9kTVj2QPeHUA9kTTi3oCbLHaQw8/9Jlefb7z8nnPvNJ6erskGee/UGU78knPlBR9lyZvy1/efOlSPCML8/Kb5/+JfmNkbfJfV1HnfpEcHECyJ5wRgayJ5xaIHvCqgWyJ6x6IHvCqgeyJ6x6IHvCqgeyJ5x6IHvCqQU9QfY4jQEjd4aHj8j7Hn9PlCdf/mxu10R/19/TvneNscXpaKNlc1z6jcUJeffJi/K+078kD/Ued+oHwZUJIHsqM0qrBbInLdLxrrO6viE72yJtrY3xAmilSmBhaVWamxqlsaFO9Tokr0wA2VOZUZotkD1p0q58LWRPZUZptkD2pEm7/LWQPeHUgp4ge6zHwNr6unzjW9+VRx85vyd7Rm/clK9/+xn5xIeflLb27kzu5h35q6zgeX32lvzy0Yfkt+97l1wcvM/62gQmJ4DsSc5MKwLZo0XWLi+yx46bVhSyR4ts8rzInuTMNCOQPZp0k+dG9iRnphmB7NGkmyw3sicZL1rvH4Ga5ZX13f27fNhXzsme3/rN35CLF85FnS2UPV95/j/Kq7M35MHuE/LeY4/JOwceCvum6B0EIAABCEAAAhCAAAQgAAEIQCBwAvkraALvapDdQ/aUKUucmT1/eftF+dWjjwRZXDoFAQhAAAIQgAAEIAABCEAAAhA4iASQPW5VQ/ZU4Jd0zx63chDtQoBlXC70/MayjMsvT9dsLONyJeg3nmVcfnm6ZGMZlws9/7Es4/LP1CUjy7hc6PmPZRmXf6a2GVnGZUuOuLQJIHsqEHc5jSvtYh726yF7whkByJ5wamF6guwJqx7InnDqgewJpxamJ8iesOqB7AmrHsiecOqB7AmnFvSkPAFkT4wR8sMf/1Se/d5zUcu3PXpePv6Rp6S5qani0esxUtPEIwFkj0eYjqmQPY4APYcjezwDdUyH7HEE6DEc2eMRpodUyB4PED2mQPZ4hOkhFbLHA0RPKZA9nkCSRp0AsscB8dTsUhTNWkIHiB5DkT0eYTqmQvY4AvQcjuzxDNQxHbLHEaDHcGSPR5geUiF7PED0mALZ4xGmh1TIHg8QPaVA9ngCSRp1AsgeB8TIHgd4CqHIHgWolimRPZbglMKQPUpgLdMieyzBKYQhexSgOqRE9jjAUwhF9ihAdUiJ7HGA5zkU2eMZKOnUCCB7HNAiexzgKYQiexSgWqZE9liCUwpD9iiBtUyL7LEEpxCG7FGA6pAS2eMATyEU2aMA1SElsscBnudQZI9noKRTI4DscUCL7HGApxCK7FGAapkS2WMJTikM2aME1jItsscSnEIYskcBqkNKZI8DPIVQZI8CVIeUyB4HeJ5DkT2egZJOjQCyxwEtsscBnkIoskcBqmVKZI8lOKUwZI8SWMu0yB5LcAphyB4FqA4pkT0O8BRCkT0KUB1SInsc4HkORfZ4Bko6NQLIHge0yB4HeAqhyB4FqJYpkT2W4JTCkD1KYC3TInsswSmEIXsUoDqkRPY4wFMIRfYoQHVIiexxgOc5FNnjGSjp1AggexzQInsc4CmEInsUoFqmRPZYglMKQ/YogbVMi+yxBKcQhuxRgOqQEtnjAE8hFNmjANUhJbLHAZ7nUGSPZ6CkUyOA7FFDS2IIQAACEIAABCAAAQhAAAIQgAAEIJA+AWRP+sy5IgQgAAEIQAACEIAABCAAAQhAAAIQUCOA7FFDS2IIQAACEIAABCAAAQhAAAIQgAAEIJA+AWRP+sy5IgQgAAEIQAACEIAABCAAAQhAAAIQUCOA7LFE+8Mf/1Se/d5zUfTbHj0vH//IU9Lc1GSZjbA4BNbW1+Ub3/qu/OMLl6LmT/zu++V9j7+nYqip1djYHXnyiQ9UbEuD+ASef+myfPEr34wChoeH5HOf+aR0dXYUTTB646Z84ctPy+LSUqz28XtByxyBJK9JhfXgNczvOLJ9rTK9eObZH8ilV18t+3zy29vqzza/sCif/9LXZGxsPLrZz376o3LxwrmSN25q8OOf/Je7fh73903103S/wySvVeZqLs8n995Wd4YkbAufRzkylX7/VzdBv3eX9LWq8Hc5r1N+65Hkfa65cv5rG88Lv7Ugmz0BZI8FO/Pkf/b7z+29GTdvDM0DmWABM0FIPufcL8Qnfuf9Jd+0579IP/7eX6c+CVhXamreYHz928/IJz78pJw6cTz6BffCi5dKSk9Ti7Hb43tyztRyanoaSVoJdMyfJ31NMvUaPjq099zhNSwm6JjNkr5W5dLmJANvEmOCjtEs92H20UfOR68/ha9dxVLwfIgB1rJJ0teqwvpZXpawEgRsX6ty6fjHNH9DK+lrVeH74Djvi/31tvoz2bzPLfxsyPvc6h8nB+EOkT0WVTK/HIeHj+x9cC1882KRkpAKBMwvsa8+/Z1I2Bi5YB5x35DzZsT/8CpkGucDVH4veM74rYnra1IlWee3t9Wdzfa1Kveceuc7Lt71jwnVTUv/7sxrk3l+fOpjH4xmHsaRB3F/t+j3vvqukPS1it/femPA9rUq16Ni8Xq9rf7MSV+rCt93xXltq36K/u4wyfvcYuyTvi/213MyQeBuAsiehCOCJ3RCYJ6aF3vRjPsBlTeLnoqQl6bww1DSf1GKWzv/Pa++jK6vSbn4/r4+Zr95GB42r1X5z4dXX///27u/UDuOOg7g+2R8SNqHBqJBKdSqSLUiImKRNikkJIj1z0MtBgkhilXbKFqohYIUCragVWPUSg0xSESCUBRKSwKNEQShoFitf2vxT7kYtdCYCMYnmdU97J3sPWf/TOK5M5/7EnLvObMzn9+cvXu/Z3bOc8KeBHVomugKlheFOfFtXG6NSFOQMeequBabNm6s7r37wOxNnzQ9K7OVMeeqtpRrq7TzZuy56sdP/aR+TYSvdrCdtnfltTbkOrfr3Db0urg8YSO+XALCnoHSzQt6186bZ7dASG8HIo54ePyOR2iib2DggmQE+IKnxO/ODvml5vWSth5TzknNH1L27ElXk6HnqnCB/8SJJ2e3NFr1lq4WoaXYt/mDKPzb59brZk+MO27fN3efn7S9zrO1oeeqrseH3+cnT522p1WCKTL0XNU+pFU9CQoQNTHmXBWe881jx6vz5/5Z74komE5Xl6HXufHfJEOui9P1WksELhYQ9gycFWPemRp4CA/vEJjyDpSwJ/2UGvKOR/vo/nBKX4sU56S+wWn63ufX4tBzVXtDx7aGfXvSzI0x75bHR44v+tP0rLxWhp6rusIef0ClmzdDz1XtIy9aHZeul+W0NPRcFYd1zWtjx/aben14STmy40Y69Do33uw8HNVKxHH2npVWQNgzwnPoPecjDuEpkcCUe8uFPemn05B7mZujC3rS16Fpceo5qesd3kvX27xbnnKuCjJW9qSdH0P3weg6urAnXU2Gnqu63l2P9+9L17uyWhp7rrI699LMk6HnqjErgS5Nz/Nsdcx1blsi1PP7j52oPrRvj09rznOKrJtRCXtGlGrop0mMOISndAjM+9SIee9oCHvST6dFn1IQBzsuDtPXoN3ionNSfOvDseOPVm9/21tWbXbuUyPS1WjsuUrYk64GTUuLPuEmPleF3yWnTv+oevc7d9VNOHelrcnQc1V4/KGHj8z26bEKMW09Fn0aV/h5/LvBqp60Neh7roqvc7vOXfc98FBlZU+a+iy6zp13S6kViGlqoJU0AsKekY7tpff2uxiJOPBp8RLJ9r3JXWFP+6PXm0Pdc9ed9l0Y6L7Ww9u+8S0n8UXIWreqqEeiYvxvD6ujx47XDcbnpPiiJH5tOIelq0Noaei5al5wl7ZnZbbW/H5YWTlTA7TPO/G5qmspvvNU2nkz7/qp6w+o9uPd3pi2FvPOVeFIcdhj5WFa/7i1eeeqPte59uxJW59517nxuapdO7dvpa2D1qYJCHum+Xk2AQIECBAgQIAAAQIECBAgQGCpBIQ9S1UOnSFAgAABAgQIECBAgAABAgQITBMQ9kzz82wCBAgQIECAAAECBAgQIECAwFIJCHuWqhw6Q4AAAQIECBAgQIAAAQIECBCYJiDsmebn2QQIECBAgAABAgQIECBAgACBpRIQ9ixVOXSGAAECBAgQIECAAAECBAgQIDBNQNgzzc+zCRAgQIAAAQIECBAgQIAAAQJLJSDsWapy6AwBAgQIECBAgAABAgQ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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": 53, "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": 54, "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": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sourceT = 63 + 273\n", "sinkT = 140 + 273\n", "cop_curve_new(sourceT, sinkT)" ] }, { "cell_type": "code", "execution_count": 55, "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": 56, "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": 57, "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": 58, "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, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 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\u001b[0mlifetime\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m25\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 27\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 28\u001b[1;33m tank = WaterStorage(\n\u001b[0m\u001b[0;32m 29\u001b[0m \u001b[0mname\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'MyStorage'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 30\u001b[0m \u001b[0mmax_power\u001b[0m\u001b[1;33m=\u001b[0m \u001b[0mc\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtank_max_power\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32mc:\\users\\shahla huseynova\\python\\29 - pyrecoy modelling framework\\pyrecoy\\pyrecoy\\assets.py\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, name, max_power, min_power, roundtrip_eff, energy_density, volume, lifetime, temperature, max_storagelevel, min_storagelevel)\u001b[0m\n\u001b[0;32m 120\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtemperature\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtemperature\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 121\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0menergy_density\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0menergy_density\u001b[0m \u001b[1;31m#MWh/m3\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 122\u001b[1;33m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmax_storage_capacity\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvolume\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0menergy_density\u001b[0m \u001b[1;31m#MWh\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 123\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmax_storagelevel\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mmax_storagelevel\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 124\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmin_storagelevel\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mmin_storagelevel\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mTypeError\u001b[0m: can't multiply sequence by non-int of type 'tuple'" ] } ], "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", " tank = WaterStorage(\n", " name='MyStorage',\n", " max_power= c.tank_max_power,\n", " min_power= c.tank_min_power,\n", " roundtrip_eff= c.tank_roundtrip_eff,\n", " energy_density = c.tank_energy_density,\n", " volume = c.tank_volume,\n", " lifetime = c.tank_lifetime,\n", " temperature = c.tank_temperature, #K\n", " min_storagelevel = c.min_storagelevel,\n", " max_storagelevel = c.max_storagelevel\n", " \n", " )\n", " tank.set_financials(\n", " capex_per_MW = c.tank_Capex_per_MW, \n", " capex_per_MWh = c.tank_capex_per_MWh, \n", " opex = 2_000, \n", " devex = 0, \n", " lifetime = 25\n", " )\n", "\n", "# tank.set_financials(\n", "# capex_per_MW,\n", "# capex_per_MWh,\n", "# 2_000,\n", "# 0,\n", "# lifetime=30\n", "# )\n", " \n", " s.hp_storagecase.add_asset(tank)\n", " s.baseline.add_asset(gasboiler)\n", " s.hpcase.add_asset(heatpump_vdg)\n", " s.hpcase.add_asset(heatpump_ndg)\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": null, "metadata": {}, "outputs": [], "source": [ "tank.name" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Optimization" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Strategies" ] }, { "cell_type": "code", "execution_count": null, "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)" ] }, { "cell_type": "code", "execution_count": null, "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", " \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)" ] }, { "cell_type": "code", "execution_count": null, "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": null, "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)" ] }, { "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": null, "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": null, "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)" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "### Run optimisation" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "tags": [ "exclude" ] }, "outputs": [ { "ename": "NameError", "evalue": "name 'baseline_sim' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32mC:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_17920/3689011240.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 20\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 21\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 22\u001b[1;33m \u001b[0ms\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrun_optimisation\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_17920/3689011240.py\u001b[0m in \u001b[0;36mrun_optimisation\u001b[1;34m(c, s)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mrun_optimisation\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[1;32m----> 2\u001b[1;33m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbaseline\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0massign_algorithm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbaseline_sim\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 3\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbaseline\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrun\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 4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhpcase\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0massign_algorithm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mhponly\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'baseline_sim' is not defined" ] } ], "source": [ "def run_optimisation(c, s):\n", " s.baseline.assign_algorithm(baseline_sim)\n", " s.baseline.run()\n", " \n", " s.hpcase.assign_algorithm(hponly)\n", " s.hpcase.run()\n", " \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.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": "markdown", "metadata": { "tags": [ "exclude" ] }, "source": [ "## Financials" ] }, { "cell_type": "code", "execution_count": null, "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": null, "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.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.hpcase_sde, s.optcase1, s.afrr_case]:\n", " case.add_eb_ode(commodity='electricity', tax_bracket=c.tax_bracket_e)\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", " 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", " \n", " return s\n", "\n", "s = collect_cashflows(c, s)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "def calculate_financials(c, s):\n", " for case in s.cases:\n", " case.calculate_ebitda()\n", "\n", " for case in [s.hpcase, 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": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "s.optcase1.cashflows" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "s.optcase1.ebitda_calc" ] }, { "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": { "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": [ "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.hpcase_sde, 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)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "exclude" ] }, "outputs": [], "source": [ "_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": { "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, _series.max() * 2]\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": [ "(SingleFigureComparison(s.optcases, 'mean_cop', label='COP').report).iplot(\n", " kind='bar',\n", " title='Mean COP by Casestudy',\n", " colors=recoygreen,\n", " dimensions=(600, 400),\n", " yTitle='Years'\n", ")" ] }, { "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 = 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": [ "%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": "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": "raw", "metadata": { "tags": [ "exclude" ] }, "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." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": 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