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"cell_type": "markdown",
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"source": [
"#### Imports"
]
},
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"execution_count": 1,
"metadata": {
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"data": {
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" \n",
" "
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"output_type": "display_data"
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],
"source": [
"from datetime import timedelta\n",
"import json\n",
"import pprint\n",
"from copy import deepcopy\n",
"from statistics import mean\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",
"import plotly.graph_objs as go\n",
"\n",
"from pyrecoy.assets import Heatpump, Eboiler, GasBoiler, HotWaterStorage\n",
"from pyrecoy.colors import *\n",
"from pyrecoy.converters import *\n",
"from pyrecoy.financial import calculate_eb_ode, get_tax_tables, get_tax_rate, get_grid_tariffs_electricity\n",
"from pyrecoy.framework import TimeFramework\n",
"from pyrecoy.casestudy import CaseStudy\n",
"from pyrecoy.plotting import ebitda_bar_chart, npv_bar_chart\n",
"from pyrecoy.reports import CaseReport, ComparisonReport, BusinessCaseReport, SingleFigureComparison\n",
"from pyrecoy.sensitivity import SensitivityAnalysis\n",
"from pyrecoy.prices import get_tennet_data, get_afrr_capacity_fees_nl\n",
"from pyrecoy.forecasts import Mipf\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"#### Development backlog"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
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},
"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"
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},
"source": [
"##### Meeting 25-11-2020"
]
},
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"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
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},
"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"
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"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"
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},
"source": [
"#### Loading config"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"exclude"
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},
"outputs": [],
"source": [
"class Config():\n",
" start = '2019-01-01'\n",
" end = '2019-12-31'\n",
" \n",
" hp_vdg_e_power = 23.3 # MW\n",
" hp_ndg_e_power = 7.7 # MW\n",
" hp_min_load = 0\n",
" hp_lifetime = 25\n",
" hp_capex = 200_000 # EUR/MWth\n",
" hp_opex = 0.01 # in % of CAPEX\n",
" hp_devex = 0.005 # in % of CAPEX\n",
" \n",
" gb_power = 35 # MW\n",
" gb_efficiency = 0.9\n",
" \n",
" storage_power = 10\n",
" storage_volume = 1000\n",
" storage_cap_per_volume = 50 * 1e-3 \n",
" storage_lifetime = 25\n",
" storage_temperature = 95\n",
" storage_min_level = 5\n",
" storage_capex_per_MW = 8_000\n",
" storage_capex_per_MWh = 10_000\n",
" storage_opex_perc_of_capex = 0.02\n",
" storage_initial_level = 5\n",
" \n",
" tax_bracket_g = 4 \n",
" tax_bracket_e = 4\n",
" \n",
" include_transport_costs = False\n",
" grid_operator = 'Liander'\n",
" connection_type = 'TS/MS'\n",
" \n",
" discount_rate = 0.1\n",
" project_duration = 12\n",
"\n",
" forecast = 'ForeNeg'\n",
" gas_price_multiplier = 1\n",
" e_price_multiplier = 1\n",
" e_price_volatility_multiplier = 1\n",
" co2_price_multiplier = 1\n",
" tsource_delta = 0\n",
" tsink_delta = 0\n",
" energy_tax_multiplier = 1\n",
" \n",
" # Review the SDE implementation\n",
" sde_base_amount = 81\n",
" longterm_gas_price = 24.00\n",
" longterm_co2_price = 37.90\n",
" sde_switch_price_correction = 40\n",
" \n",
" day_ahead_buying_perc = 0.3\n",
" \n",
" afrr_capacity_fee = 25_000\n",
"\n",
"c = Config()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"exclude"
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},
"outputs": [],
"source": [
"class Store():\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Model set-up"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
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"exclude"
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},
"outputs": [],
"source": [
"def load_demand_data(c, s):\n",
" demand = pd.read_csv('data/smurfit_demand_preprocessed.csv', delimiter=';', decimal=',')\n",
" dt_index = pd.date_range(\n",
" start=s.time_fw.start,\n",
" end=s.time_fw.start + timedelta(days=365), freq='1T',\n",
" closed='left',\n",
" tz='Europe/Amsterdam')\n",
" demand.index = dt_index\n",
" demand['Total demand'] = demand['MW (VDG)'] + demand['MW (NDG)']\n",
" demand = demand[c.start:c.end]\n",
" return demand"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"s = Store()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"tags": [
"exclude"
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},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\users\\shahla huseynova\\recoy\\recoy - documents\\03 - libraries\\29 - pyrecoy modelling framework\\v1.2\\pyrecoy\\pyrecoy\\framework.py:40: UserWarning:\n",
"\n",
"The chosen timeperiod spans 365.99930555555557 days, which is not a full year. Beware that certain functions that use yearly rates might return incorrect values.\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning: Entries missing from dataset 'imbalanceRT_nl.csv'.\n",
"Issue solved: Dataset was reindexed automatically.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_25832/332434720.py:3: FutureWarning:\n",
"\n",
"Argument `closed` is deprecated in favor of `inclusive`.\n",
"\n"
]
}
],
"source": [
"def setup_model(c):\n",
" s = Store()\n",
" \n",
" s.time_fw = TimeFramework(start=c.start, end=c.end)\n",
" mipf = Mipf(start=s.time_fw.start, end=s.time_fw.end, tidy=True, include_nextQ=True,\n",
" folder_path = r\"C:\\Users\\Shahla Huseynova\\Recoy\\Recoy - Documents\\03 - Libraries\\12 - Data Management\\Forecast Data\").data\n",
" \n",
" s.baseline = CaseStudy(time_fw=s.time_fw, freq='1T', name='Baseline')\n",
" s.hpcase = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump only', data=mipf)\n",
" #s.hpcase_sde = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + SDE', data=mipf)\n",
" #s.optcase1 = CaseStudy(time_fw=s.time_fw, freq='1T', name='Optimisation', data=mipf)\n",
" #s.afrr_case = CaseStudy(time_fw=s.time_fw, freq='1T', name='Optimisation + aFRR', data=mipf)\n",
" s.storage_case = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + Storage', data=mipf)\n",
" \n",
" s.cases = list(CaseStudy.instances.values())\n",
" #s.optcases = [s.hpcase, s.hpcase_sde, s.optcase1, s.afrr_case]\n",
" s.optcases = [s.hpcase, s.storage_case]\n",
" #s.sde_cases = [s.hpcase_sde, s.optcase1, s.afrr_case]\n",
" s.sde_cases = []\n",
" \n",
" s.demand = load_demand_data(c, s)\n",
" return s\n",
"\n",
"s = setup_model(c)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
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"linkText": "Export to plot.ly",
"plotlyServerURL": "https://plot.ly",
"showLink": true
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},
{
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"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Tsource (VDG) | \n",
" Tsink (VDG) | \n",
" MW (VDG) | \n",
" Tsource (NDG) | \n",
" Tsink (NDG) | \n",
" MW (NDG) | \n",
" Total demand | \n",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 63.658798 | \n",
" 138.637674 | \n",
" 17.636712 | \n",
" 62.176305 | \n",
" 145.351645 | \n",
" 5.823824 | \n",
" 23.460537 | \n",
"
\n",
" \n",
" | std | \n",
" 6.422773 | \n",
" 14.328580 | \n",
" 5.123252 | \n",
" 10.252555 | \n",
" 14.896056 | \n",
" 1.691697 | \n",
" 6.814125 | \n",
"
\n",
" \n",
" | min | \n",
" 25.310000 | \n",
" 82.480000 | \n",
" 0.000000 | \n",
" 13.540000 | \n",
" 106.330000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
"
\n",
" \n",
" | 25% | \n",
" 64.892000 | \n",
" 126.074000 | \n",
" 17.014000 | \n",
" 63.516000 | \n",
" 131.551500 | \n",
" 5.612000 | \n",
" 22.676000 | \n",
"
\n",
" \n",
" | 50% | \n",
" 64.991000 | \n",
" 142.450000 | \n",
" 19.892000 | \n",
" 64.313000 | \n",
" 148.490000 | \n",
" 6.540000 | \n",
" 26.441000 | \n",
"
\n",
" \n",
" | 75% | \n",
" 65.076000 | \n",
" 151.730000 | \n",
" 20.819000 | \n",
" 65.546000 | \n",
" 158.100000 | \n",
" 6.880000 | \n",
" 27.690000 | \n",
"
\n",
" \n",
" | max | \n",
" 70.070000 | \n",
" 166.020000 | \n",
" 23.250000 | \n",
" 73.470000 | \n",
" 172.050000 | \n",
" 7.650000 | \n",
" 30.900000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"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 "
]
},
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"metadata": {},
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],
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},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
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},
"source": [
"## Load in data"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def add_afrr_prices(c, case):\n",
" try:\n",
" aFRR_signal = pd.read_csv(f'data/aFRR_{c.start}.csv', delimiter=';', decimal=',', index_col='datetime')\n",
" aFRR_signal.index = case.data.index\n",
" except:\n",
" data = get_tennet_data('balansdelta2017', pd.to_datetime(c.start), pd.to_datetime(c.end))\n",
" data.index = data[[\"datum\", \"tijd\"]].apply(lambda x: \" \".join(x), axis=1)\n",
" data.index = pd.to_datetime(data.index, format=\"%d-%m-%Y %H:%M\").tz_localize(\n",
" \"Europe/Amsterdam\", ambiguous=True\n",
" )\n",
" data = data[~data.index.duplicated(keep=\"first\")]\n",
" date_ix = pd.date_range(\n",
" data.index[0], data.index[-1], freq=\"1T\", tz=\"Europe/Amsterdam\"\n",
" )\n",
" data = data.reindex(date_ix)\n",
" aFRR_signal = data[['Hoogste_prijs_opregelen', 'Mid_prijs_opregelen', 'Laagste_prijs_afregelen']]\n",
" aFRR_signal.to_csv(f'data/aFRR_{c.start}.csv', sep=';', decimal=',', index_label='datetime')\n",
"\n",
" try:\n",
" aFRR_prices = pd.read_csv(f'data/aFRR_prices_{c.start}.csv', delimiter=';', decimal=',', index_col='datetime')\n",
" aFRR_prices.index = case.data.index\n",
" except:\n",
" data = get_aFRR_prices_nl(pd.to_datetime(c.start), pd.to_datetime(c.end))\n",
" data.index = pd.date_range(\n",
" start=c.start,\n",
" end=pd.to_datetime(c.end) + timedelta(days=1),\n",
" tz='Europe/Amsterdam', \n",
" freq='15T', \n",
" closed='left'\n",
" )\n",
" aFRR_prices = data.reindex(case.data.index, method='ffill')\n",
" aFRR_prices.to_csv(f'data/aFRR_prices_{c.start}.csv', sep=';', decimal=',', index_label='datetime')\n",
" \n",
" case.data = pd.concat([case.data, aFRR_signal, aFRR_prices], axis=1)\n",
" return case"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def increase_volatility_by_factor(col, factor):\n",
" mean = col.mean()\n",
" diff_to_mean = col - mean\n",
" new_diff = diff_to_mean * factor\n",
" return mean + new_diff\n",
"\n",
"def multiply_by_factor(col, factor):\n",
" mean = col.mean()\n",
" diff_to_mean = col - mean\n",
" \n",
" cond = diff_to_mean > 0\n",
" diff_to_mean[cond] *= factor\n",
" diff_to_mean[~cond] /= factor\n",
" return mean + diff_to_mean"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def load_data(c, s):\n",
" if hasattr(s, 'afrr_case'):\n",
" s.afrr_case = add_afrr_prices(c, s.afrr_case)\n",
" \n",
" for case in s.cases:\n",
" case.add_gasprices()\n",
" case.add_co2prices(perMWh=True)\n",
" \n",
" case.data['Gas prices (€/MWh)'] *= c.gas_price_multiplier\n",
" case.data['CO2 prices (€/MWh)'] *= c.co2_price_multiplier\n",
" case.data['CO2 prices (€/ton)'] *= c.co2_price_multiplier\n",
" \n",
" for case in s.optcases:\n",
" case.data['NEG'] = multiply_by_factor(case.data['NEG'], c.e_price_multiplier)\n",
" case.data['ForeNeg'] = multiply_by_factor(case.data['ForeNeg'], c.e_price_multiplier)\n",
" case.data['DAM'] = multiply_by_factor(case.data['DAM'], c.e_price_multiplier)\n",
" \n",
" case.data['NEG'] = increase_volatility_by_factor(case.data['NEG'], c.e_price_volatility_multiplier)\n",
" case.data['ForeNeg'] = increase_volatility_by_factor(case.data['ForeNeg'], c.e_price_volatility_multiplier)\n",
" \n",
" if hasattr(s, 'afrr_case'):\n",
" for case in [s.afrr_case]:\n",
" case.data['Hoogste_prijs_opregelen'] = multiply_by_factor(case.data['Hoogste_prijs_opregelen'], c.e_price_multiplier)\n",
" case.data['Hoogste_prijs_opregelen'] = increase_volatility_by_factor(case.data['Hoogste_prijs_opregelen'], c.e_price_volatility_multiplier)\n",
" case.data['aFRR_up'] = multiply_by_factor(case.data['aFRR_up'], c.e_price_multiplier)\n",
" case.data['aFRR_up'] = increase_volatility_by_factor(case.data['aFRR_up'], c.e_price_volatility_multiplier)\n",
"\n",
" s.demand[['Tsource (VDG)', 'Tsource (NDG)']] += c.tsource_delta\n",
" s.demand[['Tsink (VDG)', 'Tsink (NDG)']] += c.tsink_delta\n",
" for case in s.cases:\n",
" case.data = pd.concat([case.data, s.demand], axis=1) \n",
"\n",
" s.eb_ode_g = get_tax_rate('gas', 2020, 4)['EB+ODE'] * c.energy_tax_multiplier\n",
" s.eb_ode_e = get_tax_rate('electricity', 2020, 4)['EB+ODE'] * c.energy_tax_multiplier\n",
" s.grid_fees = get_grid_tariffs_electricity(c.grid_operator, 2020, c.connection_type)\n",
" s.grid_fee_per_MWh = s.grid_fees['kWh tarief'] * 1000\n",
" return s\n",
"\n",
"s = load_data(c, s)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" RS | \n",
" ForePos | \n",
" ForeNeg | \n",
" ForePos_nextQ | \n",
" ForeNeg_nextQ | \n",
" Gas prices (€/MWh) | \n",
" CO2 prices (€/ton) | \n",
" CO2 prices (€/MWh) | \n",
" Tsource (VDG) | \n",
" Tsink (VDG) | \n",
" MW (VDG) | \n",
" Tsource (NDG) | \n",
" Tsink (NDG) | \n",
" MW (NDG) | \n",
" Total demand | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2019-01-01 00:00:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 46.83 | \n",
" 52.70 | \n",
" NaN | \n",
" NaN | \n",
" 22.38 | \n",
" 24.98 | \n",
" 4.82 | \n",
" 64.990 | \n",
" 143.360 | \n",
" 0.0 | \n",
" 20.510 | \n",
" 147.620 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:01:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 32.12 | \n",
" 54.45 | \n",
" NaN | \n",
" NaN | \n",
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" 64.985 | \n",
" 143.089 | \n",
" 0.0 | \n",
" 20.387 | \n",
" 147.642 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:02:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 30.97 | \n",
" 48.64 | \n",
" NaN | \n",
" NaN | \n",
" 22.38 | \n",
" 24.98 | \n",
" 4.82 | \n",
" 64.980 | \n",
" 142.818 | \n",
" 0.0 | \n",
" 20.264 | \n",
" 147.664 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:03:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 51.13 | \n",
" 48.35 | \n",
" 57.71 | \n",
" 73.05 | \n",
" 22.38 | \n",
" 24.98 | \n",
" 4.82 | \n",
" 64.975 | \n",
" 142.547 | \n",
" 0.0 | \n",
" 20.141 | \n",
" 147.686 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:04:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 48.04 | \n",
" 52.01 | \n",
" 63.60 | \n",
" 79.07 | \n",
" 22.38 | \n",
" 24.98 | \n",
" 4.82 | \n",
" 64.970 | \n",
" 142.276 | \n",
" 0.0 | \n",
" 20.018 | \n",
" 147.708 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DAM POS NEG RS ForePos ForeNeg \\\n",
"2019-01-01 00:00:00+01:00 68.92 34.85 58.01 2.0 46.83 52.70 \n",
"2019-01-01 00:01:00+01:00 68.92 34.85 58.01 2.0 32.12 54.45 \n",
"2019-01-01 00:02:00+01:00 68.92 34.85 58.01 2.0 30.97 48.64 \n",
"2019-01-01 00:03:00+01:00 68.92 34.85 58.01 2.0 51.13 48.35 \n",
"2019-01-01 00:04:00+01:00 68.92 34.85 58.01 2.0 48.04 52.01 \n",
"\n",
" ForePos_nextQ ForeNeg_nextQ Gas prices (€/MWh) \\\n",
"2019-01-01 00:00:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:01:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:02:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:03:00+01:00 57.71 73.05 22.38 \n",
"2019-01-01 00:04:00+01:00 63.60 79.07 22.38 \n",
"\n",
" CO2 prices (€/ton) CO2 prices (€/MWh) \\\n",
"2019-01-01 00:00:00+01:00 24.98 4.82 \n",
"2019-01-01 00:01:00+01:00 24.98 4.82 \n",
"2019-01-01 00:02:00+01:00 24.98 4.82 \n",
"2019-01-01 00:03:00+01:00 24.98 4.82 \n",
"2019-01-01 00:04:00+01:00 24.98 4.82 \n",
"\n",
" Tsource (VDG) Tsink (VDG) MW (VDG) \\\n",
"2019-01-01 00:00:00+01:00 64.990 143.360 0.0 \n",
"2019-01-01 00:01:00+01:00 64.985 143.089 0.0 \n",
"2019-01-01 00:02:00+01:00 64.980 142.818 0.0 \n",
"2019-01-01 00:03:00+01:00 64.975 142.547 0.0 \n",
"2019-01-01 00:04:00+01:00 64.970 142.276 0.0 \n",
"\n",
" Tsource (NDG) Tsink (NDG) MW (NDG) Total demand \n",
"2019-01-01 00:00:00+01:00 20.510 147.620 0.0 0.0 \n",
"2019-01-01 00:01:00+01:00 20.387 147.642 0.0 0.0 \n",
"2019-01-01 00:02:00+01:00 20.264 147.664 0.0 0.0 \n",
"2019-01-01 00:03:00+01:00 20.141 147.686 0.0 0.0 \n",
"2019-01-01 00:04:00+01:00 20.018 147.708 0.0 0.0 "
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.hpcase.data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Assets"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### COP curve"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def cop_curve(Tsink, Tsource):\n",
" Tsink += 273\n",
" Tsource += 273\n",
"\n",
" c1 = 0.267 * Tsink / (Tsink - Tsource)\n",
" c2 = 0.333 * Tsink / (Tsink - Tsource)\n",
" \n",
" return Polynomial([c2, c1])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$x \\mapsto \\text{1.0829055118110236} + \\text{0.8682755905511811}\\,x$"
],
"text/plain": [
"Polynomial([1.08290551, 0.86827559], domain=[-1, 1], window=[-1, 1])"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cop_curve(140, 13)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$x \\mapsto \\text{2.052671641791045} + \\text{1.6458358208955224}\\,x$"
],
"text/plain": [
"Polynomial([2.05267164, 1.64583582], domain=[-1, 1], window=[-1, 1])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cop_curve(140, 73)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"heatpump = Heatpump(\n",
" name='Heatpump',\n",
" max_th_power=1,\n",
" min_th_power=0,\n",
" cop_curve=cop_curve\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=13)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=99)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"import itertools\n",
"\n",
"source_Ts = np.arange(25, 75) + 273\n",
"sink_Ts = np.arange(80, 170) + 273\n",
"\n",
"df = pd.DataFrame(columns=list(sink_Ts), index=list(source_Ts))\n",
"for sourceT, sinkT in itertools.product(source_Ts, sink_Ts):\n",
" df.loc[sourceT, sinkT] = heatpump.get_cop(heat_output=0.5, Tsink=sinkT, Tsource=sourceT)\n",
" \n",
"#df.to_csv('cops_at_50perc_load.csv', sep=';', decimal=',')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sourceT = 63 + 273\n",
"sinkT = 140 + 273\n",
"loads = np.arange(0, 1, 0.01)\n",
"\n",
"cop_series = pd.Series(index=loads, dtype='float')\n",
"load_series = pd.Series(index=loads, dtype='float')\n",
"for load in loads:\n",
" cop = heatpump.get_cop(heat_output=load, Tsink=sinkT, Tsource=sourceT)\n",
" cop_series[load] = cop\n",
" load_series[load] = load / cop "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
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"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",
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},
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"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",
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" return Polynomial([c0, c1, c2])"
]
},
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"cell_type": "code",
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"metadata": {
"tags": [
"exclude"
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"text/latex": [
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],
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"Polynomial([19.2496754, 6.7058 , -1.79 ], domain=[-1, 1], window=[-1, 1])"
]
},
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},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"tags": [
"exclude"
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"source": [
"heatpump = Heatpump(\n",
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" max_th_power=1,\n",
" min_th_power=0,\n",
" cop_curve=cop_curve_new\n",
")"
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{
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"\n",
"source_Ts = np.arange(25, 75) + 273\n",
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"\n",
"df = pd.DataFrame(columns=list(sink_Ts), index=list(source_Ts))\n",
"for sourceT, sinkT in itertools.product(source_Ts, sink_Ts):\n",
" df.loc[sourceT, sinkT] = heatpump.get_cop(heat_output=0.5, Tsink=sinkT, Tsource=sourceT)\n",
" \n",
"#df.to_csv('cops_at_50perc_load.csv', sep=';', decimal=',')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"tags": [
"exclude"
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"source": [
"sourceT = 63 + 273\n",
"sinkT = 140 + 273\n",
"loads = np.arange(0, 1, 0.01)\n",
"\n",
"cop_series = pd.Series(index=loads, dtype='float')\n",
"load_series = pd.Series(index=loads, dtype='float')\n",
"for load in loads:\n",
" cop = heatpump.get_cop(heat_output=load, Tsink=sinkT, Tsource=sourceT)\n",
" cop_series[load] = cop\n",
" load_series[load] = load / cop "
]
},
{
"cell_type": "code",
"execution_count": 28,
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"text": "Heatpump Load curve at Tsource=336 and Tsink=413"
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"source": [
"fig_load_curve = load_series.iplot(title=f'Heatpump Load curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='E-load', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n",
"fig_load_curve"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Create and assign assets"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def create_and_assign_assets(c, s):\n",
" heatpump_vdg = Heatpump(\n",
" name='Heatpump VDG',\n",
" max_th_power=c.hp_vdg_e_power,\n",
" min_th_power=c.hp_vdg_e_power * c.hp_min_load,\n",
" cop_curve=cop_curve_new\n",
" )\n",
"\n",
" heatpump_ndg = Heatpump(\n",
" name='Heatpump NDG',\n",
" max_th_power=c.hp_ndg_e_power,\n",
" min_th_power=c.hp_ndg_e_power * c.hp_min_load,\n",
" cop_curve=cop_curve_new\n",
" )\n",
"\n",
" capex_vdg = c.hp_capex*(heatpump_vdg.max_th_power) \n",
" capex_ndg = c.hp_capex*(heatpump_ndg.max_th_power)\n",
" heatpump_vdg.set_financials(capex=capex_vdg, opex=c.hp_opex*capex_vdg, devex=c.hp_devex*capex_vdg, lifetime=25)\n",
" heatpump_ndg.set_financials(capex=capex_ndg, opex=c.hp_opex*capex_ndg, devex=c.hp_devex*capex_ndg, lifetime=25)\n",
"\n",
" gasboiler = GasBoiler(\n",
" name='Gasboiler',\n",
" max_th_output=c.gb_power,\n",
" efficiency=c.gb_efficiency\n",
" )\n",
" gasboiler.set_financials(capex=0, opex=0, devex=0, lifetime=25)\n",
" \n",
" waterstorage = HotWaterStorage(\n",
" name='HotWaterStorage',\n",
" rated_power=c.storage_power, \n",
" capacity_per_volume=c.storage_cap_per_volume,\n",
" volume=c.storage_volume, \n",
" temperature=c.storage_temperature,\n",
" min_storagelevel=c.storage_min_level,\n",
" initial_storagelevel=c.storage_initial_level\n",
" )\n",
" capex_ws = c.storage_capex_per_MW * waterstorage.max_power + c.storage_capex_per_MWh * waterstorage.capacity\n",
" opex_ws = c.storage_opex_perc_of_capex * capex_ws\n",
" waterstorage.set_financials(capex=capex_ws, opex=opex_ws, devex=0, lifetime=c.storage_lifetime)\n",
" \n",
" s.baseline.add_asset(gasboiler)\n",
" s.hpcase.add_asset(heatpump_vdg)\n",
" s.hpcase.add_asset(heatpump_ndg)\n",
" s.storage_case.add_asset(heatpump_vdg)\n",
" s.storage_case.add_asset(heatpump_ndg)\n",
" s.storage_case.add_asset(waterstorage)\n",
"# s.hpcase_sde.add_asset(heatpump_vdg)\n",
"# s.hpcase_sde.add_asset(heatpump_ndg)\n",
"# s.optcase1.add_asset(heatpump_vdg)\n",
"# s.optcase1.add_asset(heatpump_ndg)\n",
"# s.optcase1.add_asset(gasboiler)\n",
"# s.afrr_case.add_asset(heatpump_vdg)\n",
"# s.afrr_case.add_asset(heatpump_ndg)\n",
"# s.afrr_case.add_asset(gasboiler)\n",
" return s\n",
"\n",
"s = create_and_assign_assets(c, s)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"HotWaterStorage(name=HotWaterStorage, rated_power=10, capacity=50.0, temperature=95, min_storagelevel=5.0)"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.assets['HotWaterStorage']"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Optimization"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Strategies"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def baseline_sim(case):\n",
" gasboiler = list(case.assets.values())[0]\n",
" data = case.data\n",
" demand = (data['MW (VDG)'] + data['MW (NDG)']).to_list()\n",
"\n",
" minutes = iter(range(len(case.data)))\n",
" th_output = [0] * len(case.data)\n",
" gas_input = [0] * len(case.data)\n",
"\n",
" for m in minutes:\n",
" th_output[m], gas_input[m] = gasboiler.set_heat_output(demand[m])\n",
"\n",
" data['output_MW_th'] = np.array(th_output)\n",
" data['output_MWh_th'] = np.array(data['output_MW_th']/60)\n",
" data['gb_input_MW'] = np.array(gas_input)\n",
" data['gb_input_MWh'] = np.array(data['gb_input_MW']/60)\n",
" case.data = data.round(5)\n",
" return case"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def hponly(case):\n",
" hp_vdg = case.assets['Heatpump VDG']\n",
" hp_ndg = case.assets['Heatpump NDG']\n",
" demand_vdg = case.data['MW (VDG)'].to_list()\n",
" demand_ndg = case.data['MW (NDG)'].to_list()\n",
" Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n",
" Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n",
" Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n",
" Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n",
"\n",
" hp_vdg_input = [0] * len(case.data)\n",
" hp_ndg_input = [0] * len(case.data)\n",
" hp_vdg_output = [0] * len(case.data)\n",
" hp_ndg_output = [0] * len(case.data)\n",
"\n",
" minutes = iter(range(len(case.data)))\n",
" for m in minutes:\n",
" demand = demand_vdg[m]\n",
" if demand != 0:\n",
" hp_vdg_input[m], hp_vdg_output[m] = hp_vdg.set_heat_output(\n",
" heat_output=demand,\n",
" Tsink=Tsink_vdg[m],\n",
" Tsource=Tsource_vdg[m]\n",
" )\n",
"\n",
" demand = demand_ndg[m]\n",
" if demand != 0:\n",
" hp_ndg_input[m], hp_ndg_output[m] = hp_ndg.set_heat_output(\n",
" heat_output=demand_ndg[m],\n",
" Tsink=Tsink_ndg[m],\n",
" Tsource=Tsource_ndg[m]\n",
" )\n",
"\n",
" case.data['hp_output_MW'] = np.array(hp_vdg_output) + np.array(hp_ndg_output)\n",
" case.data['hp_input_MW'] = np.array(hp_vdg_input) + np.array(hp_ndg_input)\n",
" case.data['cop'] = case.data['hp_output_MW'] / -case.data['hp_input_MW']\n",
" \n",
" for col in case.data.columns:\n",
" if col.endswith('MW'):\n",
" case.data[col + 'h'] = case.data[col] / 60\n",
"\n",
" case.data = case.data.round(3)\n",
" return case"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"Tref = 0\n",
"Cp = 4190 #J/kgK\n",
"MWtoJs = 1000_000\n",
"\n",
"def power_to_mass_flow(power_MW, Tsink, Tref, Cp):\n",
" return power_MW * MWtoJs /(Cp*(Tsink - Tref))\n",
"\n",
"def energy_to_storage(hp_heat_output_MW, process_demand_MW):\n",
" return hp_heat_output_MW - process_demand_MW #MW\n",
"\n",
"def Tsource_calculation(Tstorage, discharge_power, Tsource, process_mass_flow): \n",
" discharge_mass_flow = power_to_mass_flow(discharge_power, Tstorage, Tref, Cp)\n",
" \n",
" combined_mass_flow = (discharge_mass_flow + process_mass_flow)\n",
" if combined_mass_flow == 0:\n",
" return 0\n",
" else: \n",
" return (Tstorage * discharge_mass_flow + Tsource * process_mass_flow) / combined_mass_flow"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def hponly_with_storage(case):\n",
" hp_vdg = case.assets['Heatpump VDG']\n",
" hp_ndg = case.assets['Heatpump NDG']\n",
" ws = case.assets['HotWaterStorage']\n",
" demands_vdg = case.data['MW (VDG)'].to_list()\n",
" demands_ndg = case.data['MW (NDG)'].to_list()\n",
" Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n",
" Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n",
" Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n",
" Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n",
" dam_prices = case.data['DAM'].to_list()\n",
" pos_prices = case.data['POS'].to_list()\n",
" neg_prices = case.data['NEG'].to_list()\n",
"\n",
" hp_vdg_input = [0] * len(case.data)\n",
" hp_ndg_input = [0] * len(case.data)\n",
" hp_vdg_output = [0] * len(case.data)\n",
" hp_ndg_output = [0] * len(case.data)\n",
"\n",
" minutes = len(case.data)\n",
" storage_levels = [None] * minutes\n",
" to_storage_list = [0] * minutes\n",
" from_storage_vdg_list = [0] * minutes\n",
" to_storage_vdg_list = [0] * minutes\n",
" from_storage_ndg_list = [0] * minutes\n",
" to_storage_ndg_list = [0] * minutes\n",
" \n",
" new_tsources_vdg = case.data['Tsource (VDG)'].to_list()\n",
" new_tsources_ndg = case.data['Tsource (NDG)'].to_list()\n",
" \n",
" ws.set_chargelevel(ws.min_chargelevel)\n",
" \n",
" for m in range(minutes):\n",
" tsource_vdg = Tsource_vdg[m]\n",
" tsink_vdg = Tsink_vdg[m]\n",
" tsource_ndg = Tsource_ndg[m]\n",
" tsink_ndg = Tsink_ndg[m]\n",
" demand_vdg = demands_vdg[m]\n",
" demand_ndg = demands_ndg[m]\n",
" \n",
" from_storage_vdg_MW = 0\n",
" to_storage_vdg_MW = 0 \n",
" from_storage_ndg_MW = 0\n",
" to_storage_ndg_MW = 0 \n",
" \n",
" if neg_prices[m] < dam_prices[m] - 10:\n",
" # overproduce\n",
" desired_hp_load_vdg = min(demand_vdg + ws.charging_power_limit, hp_vdg.max_th_power)\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(desired_hp_load_vdg, tsink_vdg, tsource_vdg)\n",
" \n",
" to_storage_vdg_MW = th_load_vdg - demand_vdg\n",
" to_storage_vdg_MW = -ws.charge(round(to_storage_vdg_MW, 3))\n",
" \n",
" extra_charging_power_constraint = ws.max_power - to_storage_vdg_MW\n",
" \n",
" desired_hp_load_ndg = min(\n",
" demand_ndg + min(ws.charging_power_limit, extra_charging_power_constraint), \n",
" hp_ndg.max_th_power\n",
" )\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(desired_hp_load_ndg, tsink_ndg, tsource_ndg)\n",
" \n",
" to_storage_ndg_MW = th_load_ndg - demand_ndg\n",
" to_storage_ndg_MW = -ws.charge(round(to_storage_ndg_MW, 3))\n",
" \n",
" \n",
" elif pos_prices[m] > dam_prices[m] + 10:\n",
" # take from storage\n",
" from_process_massflow_vdg = power_to_mass_flow(demand_vdg, tsink_vdg, Tref, Cp)\n",
" try:\n",
" from_storage_vdg_MW = ws.discharging_power_limit\n",
" tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n",
" except: \n",
" from_storage_vdg_MW = 0\n",
" tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n",
" \n",
" from_storage_vdg_MW = ws.discharge(round(from_storage_vdg_MW, 3))\n",
" # print({f'from_storage_vdg_MW='})\n",
" from_process_massflow_ndg = power_to_mass_flow(demand_ndg, tsink_ndg, Tref, Cp)\n",
" \n",
" try:\n",
" from_storage_ndg_MW = min(ws.max_power - from_storage_vdg_MW, ws.discharging_power_limit)\n",
" tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n",
" except: \n",
" from_storage_vdg_MW = 0\n",
" tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n",
" \n",
" from_storage_ndg_MW = ws.discharge(round(from_storage_ndg_MW))\n",
" else:\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(\n",
" heat_output=demand_vdg,\n",
" Tsink=tsink_vdg,\n",
" Tsource=tsource_vdg\n",
" )\n",
"\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(\n",
" heat_output=demand_ndg,\n",
" Tsink=tsink_ndg,\n",
" Tsource=tsource_ndg\n",
" )\n",
" if tsource_vdg < 64:\n",
" from_process_massflow_vdg = power_to_mass_flow(demand_vdg, tsink_vdg, Tref, Cp)\n",
" try:\n",
" from_storage_vdg_MW = ws.discharging_power_limit\n",
" tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n",
" except: \n",
" from_storage_vdg_MW = 0\n",
" tsource_vdg = Tsource_calculation(ws.temperature, from_storage_vdg_MW, tsource_vdg, from_process_massflow_vdg)\n",
" e_load_vdg, th_load_vdg = hp_vdg.set_heat_output(demand_vdg, tsink_vdg, tsource_vdg)\n",
" \n",
" from_storage_vdg_MW = ws.discharge(round(from_storage_vdg_MW, 3))\n",
" else:\n",
" pass\n",
" if tsource_ndg < 64:\n",
" from_process_massflow_ndg = power_to_mass_flow(demand_ndg, tsink_ndg, Tref, Cp)\n",
" \n",
" try:\n",
" from_storage_ndg_MW = min(ws.max_power - from_storage_vdg_MW, ws.discharging_power_limit)\n",
" tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n",
" except: \n",
" from_storage_vdg_MW = 0\n",
" tsource_ndg = Tsource_calculation(ws.temperature, from_storage_ndg_MW, tsource_ndg, from_process_massflow_ndg)\n",
" e_load_ndg, th_load_ndg = hp_ndg.set_heat_output(demand_ndg, tsink_ndg, tsource_ndg)\n",
" \n",
" from_storage_ndg_MW = ws.discharge(round(from_storage_ndg_MW))\n",
" else:\n",
" pass\n",
" \n",
" \n",
" \n",
" hp_vdg_input[m] = e_load_vdg\n",
" hp_vdg_output[m] = th_load_vdg\n",
" hp_ndg_input[m] = e_load_ndg\n",
" hp_ndg_output[m] = th_load_ndg\n",
" \n",
" storage_levels[m] = ws.chargelevel\n",
" new_tsources_vdg[m] = tsource_vdg\n",
" new_tsources_ndg[m] = tsource_ndg\n",
" to_storage_vdg_list[m] = to_storage_vdg_MW\n",
" from_storage_vdg_list[m] = from_storage_vdg_MW\n",
" to_storage_ndg_list[m] = to_storage_ndg_MW\n",
" from_storage_ndg_list[m] = from_storage_ndg_MW\n",
" \n",
" case.data['hp_output_MW'] = np.array(hp_vdg_output) + np.array(hp_ndg_output)\n",
" case.data['hp_input_MW'] = np.array(hp_vdg_input) + np.array(hp_ndg_input)\n",
" case.data['cop'] = case.data['hp_output_MW'] / -case.data['hp_input_MW']\n",
" case.data['tsource_vdg'] = new_tsources_vdg\n",
" case.data['tsource_ndg'] = new_tsources_ndg\n",
" case.data['to_storage_ndg_MW'] = to_storage_ndg_list\n",
" case.data['from_storage_ndg_MW'] = from_storage_ndg_list\n",
" case.data['to_storage_vdg_MW'] = to_storage_vdg_list\n",
" case.data['from_storage_vdg_MW'] = from_storage_vdg_list\n",
" case.data['to_storage_MW'] = case.data['to_storage_vdg_MW'] + case.data['to_storage_ndg_MW']\n",
" case.data['from_storage_MW'] = case.data['from_storage_vdg_MW'] + case.data['from_storage_ndg_MW']\n",
" case.data['storage_level_MWh'] = storage_levels\n",
" \n",
" for col in case.data.columns:\n",
" if col.endswith('MW'):\n",
" case.data[col + 'h'] = case.data[col] / 60\n",
"\n",
" case.data = case.data.round(3)\n",
" return case"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"s.storage_case = hponly_with_storage(s.storage_case)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" RS | \n",
" ForePos | \n",
" ForeNeg | \n",
" ForePos_nextQ | \n",
" ForeNeg_nextQ | \n",
" Gas prices (€/MWh) | \n",
" CO2 prices (€/ton) | \n",
" ... | \n",
" from_storage_MW | \n",
" storage_level_MWh | \n",
" hp_output_MWh | \n",
" hp_input_MWh | \n",
" to_storage_ndg_MWh | \n",
" from_storage_ndg_MWh | \n",
" to_storage_vdg_MWh | \n",
" from_storage_vdg_MWh | \n",
" to_storage_MWh | \n",
" from_storage_MWh | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2019-10-02 06:19:00+02:00 | \n",
" 43.75 | \n",
" 11.76 | \n",
" 11.76 | \n",
" -1.0 | \n",
" 18.95 | \n",
" 19.55 | \n",
" 62.79 | \n",
" 62.79 | \n",
" 10.0 | \n",
" 24.20 | \n",
" ... | \n",
" 0.0 | \n",
" 33.440 | \n",
" 0.511 | \n",
" -0.074 | \n",
" 0.037 | \n",
" 0.0 | \n",
" 0.130 | \n",
" 0.0 | \n",
" 0.167 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-11 11:16:00+01:00 | \n",
" 71.33 | \n",
" 52.55 | \n",
" 52.55 | \n",
" 1.0 | \n",
" 28.71 | \n",
" 38.46 | \n",
" NaN | \n",
" NaN | \n",
" 21.6 | \n",
" 22.59 | \n",
" ... | \n",
" 0.0 | \n",
" 29.702 | \n",
" 0.517 | \n",
" -0.078 | \n",
" 0.034 | \n",
" 0.0 | \n",
" 0.103 | \n",
" 0.0 | \n",
" 0.137 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
2 rows × 38 columns
\n",
"
"
],
"text/plain": [
" DAM POS NEG RS ForePos ForeNeg \\\n",
"2019-10-02 06:19:00+02:00 43.75 11.76 11.76 -1.0 18.95 19.55 \n",
"2019-01-11 11:16:00+01:00 71.33 52.55 52.55 1.0 28.71 38.46 \n",
"\n",
" ForePos_nextQ ForeNeg_nextQ Gas prices (€/MWh) \\\n",
"2019-10-02 06:19:00+02:00 62.79 62.79 10.0 \n",
"2019-01-11 11:16:00+01:00 NaN NaN 21.6 \n",
"\n",
" CO2 prices (€/ton) ... from_storage_MW \\\n",
"2019-10-02 06:19:00+02:00 24.20 ... 0.0 \n",
"2019-01-11 11:16:00+01:00 22.59 ... 0.0 \n",
"\n",
" storage_level_MWh hp_output_MWh hp_input_MWh \\\n",
"2019-10-02 06:19:00+02:00 33.440 0.511 -0.074 \n",
"2019-01-11 11:16:00+01:00 29.702 0.517 -0.078 \n",
"\n",
" to_storage_ndg_MWh from_storage_ndg_MWh \\\n",
"2019-10-02 06:19:00+02:00 0.037 0.0 \n",
"2019-01-11 11:16:00+01:00 0.034 0.0 \n",
"\n",
" to_storage_vdg_MWh from_storage_vdg_MWh \\\n",
"2019-10-02 06:19:00+02:00 0.130 0.0 \n",
"2019-01-11 11:16:00+01:00 0.103 0.0 \n",
"\n",
" to_storage_MWh from_storage_MWh \n",
"2019-10-02 06:19:00+02:00 0.167 0.0 \n",
"2019-01-11 11:16:00+01:00 0.137 0.0 \n",
"\n",
"[2 rows x 38 columns]"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.data.sample(2)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" hp_output_MW | \n",
" to_storage_MW | \n",
" Total demand | \n",
" tsource_ndg | \n",
" tsource_vdg | \n",
" cop | \n",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 501212.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 41.195801 | \n",
" 40.391060 | \n",
" 42.554082 | \n",
" 25.034942 | \n",
" 2.039792 | \n",
" 23.460537 | \n",
" 65.004023 | \n",
" 65.999198 | \n",
" 5.691525 | \n",
"
\n",
" \n",
" | std | \n",
" 11.278173 | \n",
" 51.226931 | \n",
" 52.003252 | \n",
" 7.209481 | \n",
" 3.294336 | \n",
" 6.814125 | \n",
" 14.946889 | \n",
" 10.209534 | \n",
" 0.618899 | \n",
"
\n",
" \n",
" | min | \n",
" -9.020000 | \n",
" -487.650000 | \n",
" -487.650000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.687000 | \n",
"
\n",
" \n",
" | 25% | \n",
" 34.100000 | \n",
" 24.470000 | \n",
" 25.530000 | \n",
" 22.810000 | \n",
" 0.000000 | \n",
" 22.676000 | \n",
" 64.040000 | \n",
" 64.946000 | \n",
" 5.452000 | \n",
"
\n",
" \n",
" | 50% | \n",
" 39.700000 | \n",
" 31.110000 | \n",
" 32.160000 | \n",
" 27.576000 | \n",
" 0.000000 | \n",
" 26.441000 | \n",
" 65.040000 | \n",
" 65.024000 | \n",
" 5.651000 | \n",
"
\n",
" \n",
" | 75% | \n",
" 47.392500 | \n",
" 40.900000 | \n",
" 42.540000 | \n",
" 30.130000 | \n",
" 3.330000 | \n",
" 27.690000 | \n",
" 67.694000 | \n",
" 65.970000 | \n",
" 5.851000 | \n",
"
\n",
" \n",
" | max | \n",
" 121.460000 | \n",
" 936.120000 | \n",
" 936.120000 | \n",
" 31.000000 | \n",
" 10.000000 | \n",
" 30.900000 | \n",
" 95.000000 | \n",
" 95.000000 | \n",
" 7.442000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DAM POS NEG hp_output_MW \\\n",
"count 525600.000000 525600.000000 525600.000000 525600.000000 \n",
"mean 41.195801 40.391060 42.554082 25.034942 \n",
"std 11.278173 51.226931 52.003252 7.209481 \n",
"min -9.020000 -487.650000 -487.650000 0.000000 \n",
"25% 34.100000 24.470000 25.530000 22.810000 \n",
"50% 39.700000 31.110000 32.160000 27.576000 \n",
"75% 47.392500 40.900000 42.540000 30.130000 \n",
"max 121.460000 936.120000 936.120000 31.000000 \n",
"\n",
" to_storage_MW Total demand tsource_ndg tsource_vdg \\\n",
"count 525600.000000 525600.000000 525600.000000 525600.000000 \n",
"mean 2.039792 23.460537 65.004023 65.999198 \n",
"std 3.294336 6.814125 14.946889 10.209534 \n",
"min 0.000000 0.000000 0.000000 0.000000 \n",
"25% 0.000000 22.676000 64.040000 64.946000 \n",
"50% 0.000000 26.441000 65.040000 65.024000 \n",
"75% 3.330000 27.690000 67.694000 65.970000 \n",
"max 10.000000 30.900000 95.000000 95.000000 \n",
"\n",
" cop \n",
"count 501212.000000 \n",
"mean 5.691525 \n",
"std 0.618899 \n",
"min 0.687000 \n",
"25% 5.452000 \n",
"50% 5.651000 \n",
"75% 5.851000 \n",
"max 7.442000 "
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW', 'Total demand', 'tsource_ndg', 'tsource_vdg', 'cop']].describe()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"186929\n",
"137967\n"
]
},
{
"data": {
"text/plain": [
"324896"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = print(sum(s.storage_case.data['to_storage_MW']!= 0))\n",
"b = print(sum(s.storage_case.data['from_storage_MW']!= 0))\n",
"# 154476 times out of 525600, the storage is used to charge/dischage\n",
"c=186929+137967\n",
"c"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" hp_output_MW | \n",
" to_storage_MW | \n",
" from_storage_MW | \n",
" Total demand | \n",
" tsource_vdg | \n",
" tsource_ndg | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2019-09-07 01:06:00+02:00 | \n",
" 30.00 | \n",
" 22.98 | \n",
" 22.98 | \n",
" 26.900 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 26.900 | \n",
" 65.040 | \n",
" 63.614 | \n",
"
\n",
" \n",
" | 2019-03-29 21:54:00+01:00 | \n",
" 43.04 | \n",
" 31.18 | \n",
" 31.18 | \n",
" 30.790 | \n",
" 1.156 | \n",
" 1.000 | \n",
" 29.844 | \n",
" 64.024 | \n",
" 69.316 | \n",
"
\n",
" \n",
" | 2019-09-28 08:52:00+02:00 | \n",
" 33.20 | \n",
" 24.08 | \n",
" 31.70 | \n",
" 27.660 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 27.660 | \n",
" 65.002 | \n",
" 62.044 | \n",
"
\n",
" \n",
" | 2019-05-01 11:12:00+02:00 | \n",
" 32.89 | \n",
" 221.02 | \n",
" 221.02 | \n",
" 27.362 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 27.362 | \n",
" 65.030 | \n",
" 63.570 | \n",
"
\n",
" \n",
" | 2019-11-18 08:39:00+01:00 | \n",
" 45.87 | \n",
" 41.74 | \n",
" 41.74 | \n",
" 28.325 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 28.325 | \n",
" 66.071 | \n",
" 65.108 | \n",
"
\n",
" \n",
" | 2019-05-13 09:21:00+02:00 | \n",
" 47.26 | \n",
" 34.62 | \n",
" 34.62 | \n",
" 22.930 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 22.930 | \n",
" 65.086 | \n",
" 67.476 | \n",
"
\n",
" \n",
" | 2019-09-13 20:02:00+02:00 | \n",
" 52.43 | \n",
" 49.03 | \n",
" 49.03 | \n",
" 27.708 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 27.708 | \n",
" 64.940 | \n",
" 65.036 | \n",
"
\n",
" \n",
" | 2019-04-30 20:19:00+02:00 | \n",
" 51.76 | \n",
" 32.85 | \n",
" 32.85 | \n",
" 30.250 | \n",
" 3.120 | \n",
" 3.600 | \n",
" 27.880 | \n",
" 64.060 | \n",
" 77.574 | \n",
"
\n",
" \n",
" | 2019-02-27 10:31:00+01:00 | \n",
" 44.57 | \n",
" 24.98 | \n",
" 24.98 | \n",
" 30.716 | \n",
" 1.379 | \n",
" 1.779 | \n",
" 29.621 | \n",
" 64.010 | \n",
" 71.214 | \n",
"
\n",
" \n",
" | 2019-03-10 16:31:00+01:00 | \n",
" 33.95 | \n",
" 19.59 | \n",
" 19.59 | \n",
" 30.092 | \n",
" 3.505 | \n",
" 3.505 | \n",
" 27.495 | \n",
" 65.000 | \n",
" 77.649 | \n",
"
\n",
" \n",
" | 2019-01-11 02:11:00+01:00 | \n",
" 45.43 | \n",
" 142.21 | \n",
" 142.21 | \n",
" 22.902 | \n",
" 0.000 | \n",
" 10.000 | \n",
" 22.902 | \n",
" 78.001 | \n",
" 68.744 | \n",
"
\n",
" \n",
" | 2019-12-16 09:13:00+01:00 | \n",
" 46.10 | \n",
" 59.95 | \n",
" 59.95 | \n",
" 20.788 | \n",
" 0.000 | \n",
" 10.000 | \n",
" 20.788 | \n",
" 79.016 | \n",
" 65.880 | \n",
"
\n",
" \n",
" | 2019-06-24 16:33:00+02:00 | \n",
" 33.87 | \n",
" 27.95 | \n",
" 27.95 | \n",
" 27.058 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 27.058 | \n",
" 63.983 | \n",
" 64.069 | \n",
"
\n",
" \n",
" | 2019-11-03 01:58:00+01:00 | \n",
" 25.70 | \n",
" -3.93 | \n",
" 27.42 | \n",
" 23.816 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 23.816 | \n",
" 65.942 | \n",
" 58.290 | \n",
"
\n",
" \n",
" | 2019-11-18 16:33:00+01:00 | \n",
" 55.00 | \n",
" 25.71 | \n",
" 25.71 | \n",
" 0.000 | \n",
" 10.000 | \n",
" 10.000 | \n",
" 0.000 | \n",
" 95.000 | \n",
" 0.000 | \n",
"
\n",
" \n",
" | 2019-03-06 07:00:00+01:00 | \n",
" 49.64 | \n",
" 32.74 | \n",
" 32.74 | \n",
" 30.780 | \n",
" 10.000 | \n",
" 0.000 | \n",
" 20.780 | \n",
" 64.990 | \n",
" 65.450 | \n",
"
\n",
" \n",
" | 2019-05-21 07:37:00+02:00 | \n",
" 49.92 | \n",
" 40.73 | \n",
" 40.73 | \n",
" 22.870 | \n",
" 0.000 | \n",
" 0.000 | \n",
" 22.870 | \n",
" 66.017 | \n",
" 68.964 | \n",
"
\n",
" \n",
" | 2019-07-24 02:37:00+02:00 | \n",
" 38.48 | \n",
" 23.80 | \n",
" 23.80 | \n",
" 30.246 | \n",
" 2.912 | \n",
" 2.912 | \n",
" 28.088 | \n",
" 65.959 | \n",
" 76.437 | \n",
"
\n",
" \n",
" | 2019-05-25 00:26:00+02:00 | \n",
" 41.97 | \n",
" 29.21 | \n",
" 29.21 | \n",
" 0.000 | \n",
" 10.000 | \n",
" 10.000 | \n",
" 0.000 | \n",
" 95.000 | \n",
" 0.000 | \n",
"
\n",
" \n",
" | 2019-06-14 20:36:00+02:00 | \n",
" 57.36 | \n",
" 32.65 | \n",
" 32.65 | \n",
" 0.000 | \n",
" 10.000 | \n",
" 10.000 | \n",
" 0.000 | \n",
" 95.000 | \n",
" 0.000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DAM POS NEG hp_output_MW to_storage_MW \\\n",
"2019-09-07 01:06:00+02:00 30.00 22.98 22.98 26.900 0.000 \n",
"2019-03-29 21:54:00+01:00 43.04 31.18 31.18 30.790 1.156 \n",
"2019-09-28 08:52:00+02:00 33.20 24.08 31.70 27.660 0.000 \n",
"2019-05-01 11:12:00+02:00 32.89 221.02 221.02 27.362 0.000 \n",
"2019-11-18 08:39:00+01:00 45.87 41.74 41.74 28.325 0.000 \n",
"2019-05-13 09:21:00+02:00 47.26 34.62 34.62 22.930 0.000 \n",
"2019-09-13 20:02:00+02:00 52.43 49.03 49.03 27.708 0.000 \n",
"2019-04-30 20:19:00+02:00 51.76 32.85 32.85 30.250 3.120 \n",
"2019-02-27 10:31:00+01:00 44.57 24.98 24.98 30.716 1.379 \n",
"2019-03-10 16:31:00+01:00 33.95 19.59 19.59 30.092 3.505 \n",
"2019-01-11 02:11:00+01:00 45.43 142.21 142.21 22.902 0.000 \n",
"2019-12-16 09:13:00+01:00 46.10 59.95 59.95 20.788 0.000 \n",
"2019-06-24 16:33:00+02:00 33.87 27.95 27.95 27.058 0.000 \n",
"2019-11-03 01:58:00+01:00 25.70 -3.93 27.42 23.816 0.000 \n",
"2019-11-18 16:33:00+01:00 55.00 25.71 25.71 0.000 10.000 \n",
"2019-03-06 07:00:00+01:00 49.64 32.74 32.74 30.780 10.000 \n",
"2019-05-21 07:37:00+02:00 49.92 40.73 40.73 22.870 0.000 \n",
"2019-07-24 02:37:00+02:00 38.48 23.80 23.80 30.246 2.912 \n",
"2019-05-25 00:26:00+02:00 41.97 29.21 29.21 0.000 10.000 \n",
"2019-06-14 20:36:00+02:00 57.36 32.65 32.65 0.000 10.000 \n",
"\n",
" from_storage_MW Total demand tsource_vdg \\\n",
"2019-09-07 01:06:00+02:00 0.000 26.900 65.040 \n",
"2019-03-29 21:54:00+01:00 1.000 29.844 64.024 \n",
"2019-09-28 08:52:00+02:00 0.000 27.660 65.002 \n",
"2019-05-01 11:12:00+02:00 0.000 27.362 65.030 \n",
"2019-11-18 08:39:00+01:00 0.000 28.325 66.071 \n",
"2019-05-13 09:21:00+02:00 0.000 22.930 65.086 \n",
"2019-09-13 20:02:00+02:00 0.000 27.708 64.940 \n",
"2019-04-30 20:19:00+02:00 3.600 27.880 64.060 \n",
"2019-02-27 10:31:00+01:00 1.779 29.621 64.010 \n",
"2019-03-10 16:31:00+01:00 3.505 27.495 65.000 \n",
"2019-01-11 02:11:00+01:00 10.000 22.902 78.001 \n",
"2019-12-16 09:13:00+01:00 10.000 20.788 79.016 \n",
"2019-06-24 16:33:00+02:00 0.000 27.058 63.983 \n",
"2019-11-03 01:58:00+01:00 0.000 23.816 65.942 \n",
"2019-11-18 16:33:00+01:00 10.000 0.000 95.000 \n",
"2019-03-06 07:00:00+01:00 0.000 20.780 64.990 \n",
"2019-05-21 07:37:00+02:00 0.000 22.870 66.017 \n",
"2019-07-24 02:37:00+02:00 2.912 28.088 65.959 \n",
"2019-05-25 00:26:00+02:00 10.000 0.000 95.000 \n",
"2019-06-14 20:36:00+02:00 10.000 0.000 95.000 \n",
"\n",
" tsource_ndg \n",
"2019-09-07 01:06:00+02:00 63.614 \n",
"2019-03-29 21:54:00+01:00 69.316 \n",
"2019-09-28 08:52:00+02:00 62.044 \n",
"2019-05-01 11:12:00+02:00 63.570 \n",
"2019-11-18 08:39:00+01:00 65.108 \n",
"2019-05-13 09:21:00+02:00 67.476 \n",
"2019-09-13 20:02:00+02:00 65.036 \n",
"2019-04-30 20:19:00+02:00 77.574 \n",
"2019-02-27 10:31:00+01:00 71.214 \n",
"2019-03-10 16:31:00+01:00 77.649 \n",
"2019-01-11 02:11:00+01:00 68.744 \n",
"2019-12-16 09:13:00+01:00 65.880 \n",
"2019-06-24 16:33:00+02:00 64.069 \n",
"2019-11-03 01:58:00+01:00 58.290 \n",
"2019-11-18 16:33:00+01:00 0.000 \n",
"2019-03-06 07:00:00+01:00 65.450 \n",
"2019-05-21 07:37:00+02:00 68.964 \n",
"2019-07-24 02:37:00+02:00 76.437 \n",
"2019-05-25 00:26:00+02:00 0.000 \n",
"2019-06-14 20:36:00+02:00 0.000 "
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW','from_storage_MW', 'Total demand', 'tsource_vdg', 'tsource_ndg']].sample(20)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"########################\n",
"\n",
"# This is where we left\n",
"\n",
"########################"
]
},
{
"cell_type": "code",
"execution_count": 42,
"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": 43,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def hybrid_imb_optimisation(case, decimals, s):\n",
" gb = case.assets['Gasboiler']\n",
" hp_vdg = case.assets['Heatpump VDG']\n",
" hp_ndg = case.assets['Heatpump NDG']\n",
" demand_vdg = case.data['MW (VDG)'].round(decimals).to_list()\n",
" demand_ndg = case.data['MW (NDG)'].round(decimals).to_list()\n",
" Tsink_vdg = case.data['Tsink (VDG)'].round(decimals).to_list()\n",
" Tsink_ndg = case.data['Tsink (NDG)'].round(decimals).to_list()\n",
" Tsource_vdg = case.data['Tsource (VDG)'].round(decimals).to_list()\n",
" Tsource_ndg = case.data['Tsource (NDG)'].round(decimals).to_list()\n",
" fore_neg = case.data[c.forecast].fillna(999).round(decimals).to_list()\n",
" gas_prices = case.data['Gas prices (€/MWh)'].round(decimals).to_list()\n",
" co2_prices = case.data['CO2 prices (€/MWh)'].round(decimals).to_list()\n",
" eb_ode_g = s.eb_ode_g\n",
" eb_ode_e = s.eb_ode_e\n",
" \n",
" gb_input = [0] * len(case.data)\n",
" gb_output = [0] * len(case.data)\n",
"\n",
" minutes = range(len(case.data))\n",
" hp_output = [0] * len(case.data)\n",
" hp_input = [0] * len(case.data)\n",
"\n",
" for m in tqdm(minutes):\n",
" dem_vgd = demand_vdg[m]\n",
" if dem_vgd != 0:\n",
" max_load = min(hp_vdg.max_th_power, dem_vgd)\n",
" min_load = hp_vdg.min_th_power\n",
" Tsink = Tsink_vdg[m]\n",
" Tsource = Tsource_vdg[m]\n",
" cop_max_load = hp_vdg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n",
" cop_min_load = hp_vdg.get_cop(heat_output=min_load, Tsink=Tsink_vdg[m], Tsource=Tsource_vdg[m])\n",
" \n",
" cost_full_load = cost_function(\n",
" th_load=max_load,\n",
" cop=cop_max_load,\n",
" electricity_cost=fore_neg[m] + eb_ode_e - c.sde_switch_price_correction,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" cost_min_load = cost_function(\n",
" th_load=min_load,\n",
" cop=cop_min_load,\n",
" electricity_cost=fore_neg[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" if cost_full_load < cost_min_load:\n",
" hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(max_load, Tsink, Tsource)\n",
" else:\n",
" hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(min_load, Tsink, Tsource)\n",
" else:\n",
" hp_vdg_input, hp_vdg_output = (0, 0)\n",
"\n",
" dem_ngd = demand_ndg[m]\n",
" if dem_ngd != 0:\n",
" max_load = min(hp_ndg.max_th_power, dem_ngd)\n",
" min_load = hp_ndg.min_th_power\n",
" Tsink = Tsink_ndg[m]\n",
" Tsource = Tsource_ndg[m]\n",
" cop_max_load = hp_ndg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n",
" cop_min_load = hp_ndg.get_cop(heat_output=min_load, Tsink=Tsink, Tsource=Tsource)\n",
" \n",
" cost_full_load = cost_function(\n",
" th_load=max_load,\n",
" cop=cop_max_load,\n",
" electricity_cost=fore_neg[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_ngd\n",
" )\n",
" \n",
" cost_min_load = cost_function(\n",
" th_load=min_load,\n",
" cop=cop_min_load,\n",
" electricity_cost=fore_neg[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" if cost_full_load <= cost_min_load:\n",
" hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(max_load, Tsink=Tsink, Tsource=Tsource)\n",
" else:\n",
" hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(min_load, Tsink=Tsink, Tsource=Tsource)\n",
" else:\n",
" hp_ndg_input, hp_ndg_output = (0, 0)\n",
"\n",
" hp_out = hp_vdg_output + hp_ndg_output\n",
" hp_output[m] = hp_out\n",
" hp_input[m] = hp_vdg_input + hp_ndg_input\n",
" remaining_demand = max(dem_vgd+dem_ngd-hp_out, 0)\n",
" gb_output[m], gb_input[m] = gb.set_heat_output(remaining_demand)\n",
"\n",
" case.data['hp_output_MW'] = np.array(hp_output)\n",
" case.data['hp_input_MW'] = np.array(hp_input)\n",
" case.data['gb_output_MW'] = np.array(gb_output)\n",
" case.data['gb_input_MW'] = np.array(gb_input)\n",
"\n",
" for col in case.data.columns:\n",
" if col.endswith('MW'):\n",
" case.data[col + 'h'] = case.data[col] / 60\n",
"\n",
" case.data = case.data.round(5)\n",
" return case"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"aFRR\n",
"* Bid in a volume (X MW) --> Strategy is to only bid in on aFRR down\n",
"* Remaining demand is filed in by gasboiler\n",
"* Bid price at switch price?\n",
"* Assume direct response to 0% for now?\n"
]
},
{
"cell_type": "code",
"execution_count": 44,
"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": 45,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def aFRR_optimisation(case, s):\n",
" s.afrr_case.afrr_capacity = calc_afrr_capacity(s.afrr_case)\n",
" gb = case.assets['Gasboiler']\n",
" hp_vdg = case.assets['Heatpump VDG']\n",
" hp_ndg = case.assets['Heatpump NDG']\n",
" demand_vdg = case.data['MW (VDG)'].to_list()\n",
" demand_ndg = case.data['MW (NDG)'].to_list()\n",
" Tsink_vdg = case.data['Tsink (VDG)'].to_list()\n",
" Tsink_ndg = case.data['Tsink (NDG)'].to_list()\n",
" Tsource_vdg = case.data['Tsource (VDG)'].to_list()\n",
" Tsource_ndg = case.data['Tsource (NDG)'].to_list()\n",
" afrr_up = case.data['Hoogste_prijs_opregelen'].fillna(-999).to_list()\n",
" gas_prices = case.data['Gas prices (€/MWh)'].to_list()\n",
" co2_prices = case.data['CO2 prices (€/MWh)'].to_list()\n",
" eb_ode_g = s.eb_ode_g\n",
" eb_ode_e = s.eb_ode_e\n",
" \n",
" gb_input = [0] * len(case.data)\n",
" gb_output = [0] * len(case.data)\n",
"\n",
" minutes = range(len(case.data))\n",
" hp_output = [0] * len(case.data)\n",
" hp_input = [0] * len(case.data)\n",
"\n",
" for m in tqdm(minutes):\n",
" dem_vgd = demand_vdg[m]\n",
" if dem_vgd != 0:\n",
" max_load = min(hp_vdg.max_th_power, dem_vgd)\n",
" min_load = hp_vdg.min_th_power\n",
" Tsink = Tsink_vdg[m]\n",
" Tsource = Tsource_vdg[m]\n",
" cop_max_load = hp_vdg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n",
" cop_min_load = hp_vdg.get_cop(heat_output=min_load, Tsink=Tsink_vdg[m], Tsource=Tsource_vdg[m])\n",
" \n",
" cost_full_load = cost_function(\n",
" th_load=max_load,\n",
" cop=cop_max_load,\n",
" electricity_cost=afrr_up[m] + eb_ode_e - c.sde_switch_price_correction,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" cost_min_load = cost_function(\n",
" th_load=min_load,\n",
" cop=cop_min_load,\n",
" electricity_cost=afrr_up[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" if cost_full_load < cost_min_load:\n",
" hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(max_load, Tsink, Tsource)\n",
" else:\n",
" hp_vdg_input, hp_vdg_output = hp_vdg.set_heat_output(min_load, Tsink, Tsource)\n",
" else:\n",
" hp_vdg_input, hp_vdg_output = (0, 0)\n",
"\n",
" dem_ngd = demand_ndg[m]\n",
" if dem_ngd != 0:\n",
" max_load = min(hp_ndg.max_th_power, dem_ngd)\n",
" min_load = hp_ndg.min_th_power\n",
" Tsink = Tsink_ndg[m]\n",
" Tsource = Tsource_ndg[m]\n",
" cop_max_load = hp_ndg.get_cop(heat_output=max_load, Tsink=Tsink, Tsource=Tsource)\n",
" cop_min_load = hp_ndg.get_cop(heat_output=min_load, Tsink=Tsink, Tsource=Tsource)\n",
" \n",
" cost_full_load = cost_function(\n",
" th_load=max_load,\n",
" cop=cop_max_load,\n",
" electricity_cost=afrr_up[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_ngd\n",
" )\n",
" \n",
" cost_min_load = cost_function(\n",
" th_load=min_load,\n",
" cop=cop_min_load,\n",
" electricity_cost=afrr_up[m] + eb_ode_e,\n",
" alt_heat_price=gas_prices[m] + co2_prices[m] + eb_ode_g/case.assets['Gasboiler'].efficiency,\n",
" demand=dem_vgd\n",
" )\n",
" \n",
" if cost_full_load <= cost_min_load:\n",
" hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(max_load, Tsink=Tsink, Tsource=Tsource)\n",
" else:\n",
" hp_ndg_input, hp_ndg_output = hp_ndg.set_heat_output(min_load, Tsink=Tsink, Tsource=Tsource)\n",
" else:\n",
" hp_ndg_input, hp_ndg_output = (0, 0)\n",
"\n",
" hp_out = hp_vdg_output + hp_ndg_output\n",
" hp_output[m] = hp_out\n",
" hp_input[m] = hp_vdg_input + hp_ndg_input\n",
" remaining_demand = max(dem_vgd+dem_ngd-hp_out, 0)\n",
" gb_output[m], gb_input[m] = gb.set_heat_output(remaining_demand)\n",
"\n",
" case.data['hp_output_MW'] = np.array(hp_output)\n",
" case.data['hp_input_MW'] = np.array(hp_input)\n",
" case.data['gb_output_MW'] = np.array(gb_output)\n",
" case.data['gb_input_MW'] = np.array(gb_input)\n",
"\n",
" for col in case.data.columns:\n",
" if col.endswith('MW'):\n",
" case.data[col + 'h'] = case.data[col] / 60\n",
"\n",
" case.data = case.data.round(5)\n",
" return case"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Run optimisation"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def run_optimisation(c, s):\n",
" s.baseline = baseline_sim(s.baseline)\n",
" s.hpcase = hponly(s.hpcase)\n",
" s.storage_case = hponly_with_storage(s.storage_case)\n",
"# s.hpcase_sde.assign_algorithm(hponly)\n",
"# s.hpcase_sde.run()\n",
" \n",
"# s.optcase1.assign_algorithm(hybrid_imb_optimisation)\n",
"# s.optcase1.run(decimals=2, s=s)\n",
" \n",
"# s.afrr_case.assign_algorithm(aFRR_optimisation)\n",
"# s.afrr_case.run(s=s)\n",
" \n",
" for case in [s.hpcase, s.storage_case]: # [s.hpcase, s.hpcase_sde, s.optcase1, s.afrr_case]:\n",
" case.mean_cop = case.data['hp_output_MW'].sum() / case.data['hp_input_MW'].abs().sum()\n",
" \n",
" return s\n",
"\n",
"s = run_optimisation(c, s)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" RS | \n",
" ForePos | \n",
" ForeNeg | \n",
" ForePos_nextQ | \n",
" ForeNeg_nextQ | \n",
" Gas prices (€/MWh) | \n",
" CO2 prices (€/ton) | \n",
" ... | \n",
" MW (VDG) | \n",
" Tsource (NDG) | \n",
" Tsink (NDG) | \n",
" MW (NDG) | \n",
" Total demand | \n",
" hp_output_MW | \n",
" hp_input_MW | \n",
" cop | \n",
" hp_output_MWh | \n",
" hp_input_MWh | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2019-01-01 00:00:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 46.83 | \n",
" 52.70 | \n",
" NaN | \n",
" NaN | \n",
" 22.38 | \n",
" 24.98 | \n",
" ... | \n",
" 0.0 | \n",
" 20.510 | \n",
" 147.620 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" NaN | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:01:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 32.12 | \n",
" 54.45 | \n",
" NaN | \n",
" NaN | \n",
" 22.38 | \n",
" 24.98 | \n",
" ... | \n",
" 0.0 | \n",
" 20.387 | \n",
" 147.642 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" NaN | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:02:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 30.97 | \n",
" 48.64 | \n",
" NaN | \n",
" NaN | \n",
" 22.38 | \n",
" 24.98 | \n",
" ... | \n",
" 0.0 | \n",
" 20.264 | \n",
" 147.664 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" NaN | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:03:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 51.13 | \n",
" 48.35 | \n",
" 57.71 | \n",
" 73.05 | \n",
" 22.38 | \n",
" 24.98 | \n",
" ... | \n",
" 0.0 | \n",
" 20.141 | \n",
" 147.686 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" NaN | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-01 00:04:00+01:00 | \n",
" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
" 2.0 | \n",
" 48.04 | \n",
" 52.01 | \n",
" 63.60 | \n",
" 79.07 | \n",
" 22.38 | \n",
" 24.98 | \n",
" ... | \n",
" 0.0 | \n",
" 20.018 | \n",
" 147.708 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" NaN | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
5 rows × 23 columns
\n",
"
"
],
"text/plain": [
" DAM POS NEG RS ForePos ForeNeg \\\n",
"2019-01-01 00:00:00+01:00 68.92 34.85 58.01 2.0 46.83 52.70 \n",
"2019-01-01 00:01:00+01:00 68.92 34.85 58.01 2.0 32.12 54.45 \n",
"2019-01-01 00:02:00+01:00 68.92 34.85 58.01 2.0 30.97 48.64 \n",
"2019-01-01 00:03:00+01:00 68.92 34.85 58.01 2.0 51.13 48.35 \n",
"2019-01-01 00:04:00+01:00 68.92 34.85 58.01 2.0 48.04 52.01 \n",
"\n",
" ForePos_nextQ ForeNeg_nextQ Gas prices (€/MWh) \\\n",
"2019-01-01 00:00:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:01:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:02:00+01:00 NaN NaN 22.38 \n",
"2019-01-01 00:03:00+01:00 57.71 73.05 22.38 \n",
"2019-01-01 00:04:00+01:00 63.60 79.07 22.38 \n",
"\n",
" CO2 prices (€/ton) ... MW (VDG) Tsource (NDG) \\\n",
"2019-01-01 00:00:00+01:00 24.98 ... 0.0 20.510 \n",
"2019-01-01 00:01:00+01:00 24.98 ... 0.0 20.387 \n",
"2019-01-01 00:02:00+01:00 24.98 ... 0.0 20.264 \n",
"2019-01-01 00:03:00+01:00 24.98 ... 0.0 20.141 \n",
"2019-01-01 00:04:00+01:00 24.98 ... 0.0 20.018 \n",
"\n",
" Tsink (NDG) MW (NDG) Total demand hp_output_MW \\\n",
"2019-01-01 00:00:00+01:00 147.620 0.0 0.0 0.0 \n",
"2019-01-01 00:01:00+01:00 147.642 0.0 0.0 0.0 \n",
"2019-01-01 00:02:00+01:00 147.664 0.0 0.0 0.0 \n",
"2019-01-01 00:03:00+01:00 147.686 0.0 0.0 0.0 \n",
"2019-01-01 00:04:00+01:00 147.708 0.0 0.0 0.0 \n",
"\n",
" hp_input_MW cop hp_output_MWh hp_input_MWh \n",
"2019-01-01 00:00:00+01:00 0.0 NaN 0.0 0.0 \n",
"2019-01-01 00:01:00+01:00 0.0 NaN 0.0 0.0 \n",
"2019-01-01 00:02:00+01:00 0.0 NaN 0.0 0.0 \n",
"2019-01-01 00:03:00+01:00 0.0 NaN 0.0 0.0 \n",
"2019-01-01 00:04:00+01:00 0.0 NaN 0.0 0.0 \n",
"\n",
"[5 rows x 23 columns]"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.hpcase.data.head()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"vis_data = s.storage_case.data[[\n",
" 'storage_level_MWh', \n",
" #'to_storage_ndg_MW', \n",
" #'to_storage_vdg_MW', \n",
" 'to_storage_MW', \n",
" #'from_storage_ndg_MW', \n",
" #'from_storage_vdg_MW',\n",
" 'from_storage_MW'\n",
"]]\n",
"\n",
"cops = pd.concat([s.hpcase.data['cop'], s.storage_case.data['cop']], axis=1)\n",
"vis_data = pd.concat([vis_data, cops], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vis_data.loc['2019-01-01', :].iplot(subplots=True, shape=(5,1), dimensions=(1000, 800))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17878.641000000007, 17852.540999999997)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"total_to_storage = s.storage_case.data['to_storage_MWh'].sum()\n",
"total_from_storage = s.storage_case.data['from_storage_MWh'].sum()\n",
"total_to_storage, total_from_storage"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n",
" 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n",
" 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n",
" 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand',\n",
" 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg', 'tsource_ndg',\n",
" 'to_storage_ndg_MW', 'from_storage_ndg_MW', 'to_storage_vdg_MW',\n",
" 'from_storage_vdg_MW', 'to_storage_MW', 'from_storage_MW',\n",
" 'storage_level_MWh', 'hp_output_MWh', 'hp_input_MWh',\n",
" 'to_storage_ndg_MWh', 'from_storage_ndg_MWh', 'to_storage_vdg_MWh',\n",
" 'from_storage_vdg_MWh', 'to_storage_MWh', 'from_storage_MWh'],\n",
" dtype='object')"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hp_output = s.storage_case.data['hp_output_MW'].round(2)\n",
"demand_and_to_storage = (s.storage_case.data['Total demand'] + s.storage_case.data['to_storage_MW']).round(2)\n",
"hp_output.equals(demand_and_to_storage)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"linkText": "Export to plot.ly",
"plotlyServerURL": "https://plot.ly",
"showLink": true
},
"data": [
{
"line": {
"color": "rgba(255, 153, 51, 1.0)",
"dash": "solid",
"shape": "linear",
"width": 1.3
},
"mode": "lines",
"name": "hp_output_MW",
"text": "",
"type": "scatter",
"x": [
"2019-01-01 00:00:00+01:00",
"2019-01-01 01:00:00+01:00",
"2019-01-01 02:00:00+01:00",
"2019-01-01 03:00:00+01:00",
"2019-01-01 04:00:00+01:00",
"2019-01-01 05:00:00+01:00",
"2019-01-01 06:00:00+01:00",
"2019-01-01 07:00:00+01:00",
"2019-01-01 08:00:00+01:00",
"2019-01-01 09:00:00+01:00",
"2019-01-01 10:00:00+01:00",
"2019-01-01 11:00:00+01:00",
"2019-01-01 12:00:00+01:00",
"2019-01-01 13:00:00+01:00",
"2019-01-01 14:00:00+01:00",
"2019-01-01 15:00:00+01:00",
"2019-01-01 16:00:00+01:00",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pd.concat([hp_output, demand_and_to_storage], axis=1).resample('H').sum().iplot()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Financials"
]
},
{
"cell_type": "code",
"execution_count": 54,
"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": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'RS', 'ForePos', 'ForeNeg', 'ForePos_nextQ',\n",
" 'ForeNeg_nextQ', 'Gas prices (€/MWh)', 'CO2 prices (€/ton)',\n",
" 'CO2 prices (€/MWh)', 'Tsource (VDG)', 'Tsink (VDG)', 'MW (VDG)',\n",
" 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)', 'Total demand',\n",
" 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg', 'tsource_ndg',\n",
" 'to_storage_ndg_MW', 'from_storage_ndg_MW', 'to_storage_vdg_MW',\n",
" 'from_storage_vdg_MW', 'to_storage_MW', 'from_storage_MW',\n",
" 'storage_level_MWh', 'hp_output_MWh', 'hp_input_MWh',\n",
" 'to_storage_ndg_MWh', 'from_storage_ndg_MWh', 'to_storage_vdg_MWh',\n",
" 'from_storage_vdg_MWh', 'to_storage_MWh', 'from_storage_MWh'],\n",
" dtype='object')"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"ename": "AttributeError",
"evalue": "'int' object has no attribute 'tax_bracket_g'",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32mC:\\Users\\SHAHLA~1\\AppData\\Local\\Temp/ipykernel_25832/2100669447.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 34\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 35\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 36\u001b[1;33m \u001b[0ms\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcollect_cashflows\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_25832/2100669447.py\u001b[0m in \u001b[0;36mcollect_cashflows\u001b[1;34m(c, s)\u001b[0m\n\u001b[0;32m 17\u001b[0m \u001b[0mcase\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd_gas_costs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mgasvolumes_col\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'gb_input_MWh'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 18\u001b[0m \u001b[0mcase\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd_co2_costs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mvolume_cols\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'gb_input_MWh'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfuel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'gas'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 19\u001b[1;33m \u001b[0mcase\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd_eb_ode\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcommodity\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'gas'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtax_bracket\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtax_bracket_g\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 20\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 21\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mcase\u001b[0m \u001b[1;32min\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhpcase\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0ms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mstorage_case\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;31m#, s.hpcase_sde, s.optcase1, s.afrr_case]:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mAttributeError\u001b[0m: 'int' object has no attribute 'tax_bracket_g'"
]
}
],
"source": [
"def collect_cashflows(c, s):\n",
" s.hpcase.generate_electr_market_results(nom_col='hp_input_MWh', real_col='hp_input_MWh')\n",
" s.storage_case.data['nomination_MWh'] = s.hpcase.data['hp_input_MWh']\n",
" s.storage_case.generate_electr_market_results(nom_col='nomination_MWh', real_col='hp_input_MWh')\n",
"\n",
"# s.hpcase_sde.generate_electr_market_results(nom_col='hp_input_MWh', real_col='hp_input_MWh')\n",
" \n",
"# s.optcase1.data['DA Nom'] = s.hpcase.data['hp_input_MWh'] * c.day_ahead_buying_perc\n",
"# s.optcase1.generate_electr_market_results(nom_col='DA Nom', real_col='hp_input_MWh')\n",
" \n",
"# s.afrr_case.data['POS'] = s.afrr_case.data['aFRR_up'].fillna(value=s.afrr_case.data['POS'])\n",
"# s.afrr_case.data['DA Nom'] = s.hpcase.data['hp_input_MWh']\n",
"# s.afrr_case.generate_electr_market_results(nom_col='DA Nom', real_col='hp_input_MWh')\n",
"# s.afrr_case.add_cashflow('aFRR capacity fee (€)', c.afrr_capacity_fee * s.afrr_case.afrr_capacity)\n",
" \n",
" for case in [s.baseline]: #, s.optcase1, s.afrr_case]:\n",
" case.add_gas_costs(gasvolumes_col='gb_input_MWh')\n",
" case.add_co2_costs(volume_cols='gb_input_MWh', fuel='gas')\n",
" case.add_eb_ode(commodity='gas', tax_bracket=c.tax_bracket_g)\n",
" \n",
" for case in [s.hpcase, s.storage_case]: #, s.hpcase_sde, s.optcase1, s.afrr_case]:\n",
" \n",
" case.add_eb_ode(commodity='electricity', tax_bracket=c.tax_bracket_e, cons_col='hp_input_MWh')\n",
" case.add_grid_costs(\n",
" power_MW_col='hp_input_MW',\n",
" grid_operator=c.grid_operator,\n",
" year=2020, \n",
" connection_type=c.connection_type\n",
" )\n",
" \n",
" for case in s.sde_cases:\n",
" case = calculate_sde_subsidy(c=c, s=s, case=case)\n",
" case.add_cashflow('SDE++ subsidy (€)', case.sde_results['corrected_amount'])\n",
" return s\n",
"\n",
"s = collect_cashflows(c, s)"
]
},
{
"cell_type": "code",
"execution_count": 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.storage_case]: #, s.hpcase_sde, s.optcase1, s.afrr_case]:\n",
" case.calculate_business_case(\n",
" project_duration=c.project_duration, \n",
" discount_rate=c.discount_rate, \n",
" baseline=s.baseline\n",
" )\n",
" \n",
" return s\n",
"\n",
"s = calculate_financials(c, s)"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Visualisations"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"fig_demands_over_time = s.demand['Total demand'].resample('H').mean().iplot(\n",
" title='Smurfit Kappa: Heat demand by Hour in MW', \n",
" yTitle='MW', \n",
" colors=recoygreen,\n",
" asFigure=True,\n",
" dimensions=(800, 400)\n",
")\n",
"fig_demands_over_time"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"demands_fig = s.demand[['Tsource (VDG)', 'Tsink (VDG)', 'Tsource (NDG)', 'Tsink (NDG)']].resample('H').mean().iplot(\n",
" kind='box',\n",
" title='Smurfit Kappa: Source and Sink temperatures',\n",
" color=recoygreen,\n",
" yTitle='Temperature in degrees C',\n",
" legend=False,\n",
" asFigure=True,\n",
" dimensions=(800, 400)\n",
")\n",
"demands_fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"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.storage_case).show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"BusinessCaseReport(s.hpcase).show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"#price chart\n",
"from copy import deepcopy\n",
"\n",
"data = deepcopy(s.baseline.data)\n",
"data = data[data.columns[:2]]\n",
"data[data.columns[1]] = MWh_gas_to_tonnes_CO2(data[data.columns[1]])\n",
"data = data.rename(columns={\"CO2 prices (€/ton)\": \"CO2 prices (€/MWh)\"})\n",
"\n",
"data.resample('D').mean().iplot(dimensions=(800, 300), title='Gasprices vs. CO2 prices', colors=recoycolors)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"# #price chart\n",
"# from copy import deepcopy\n",
"\n",
"# s.optcase1.data['DAM'].resample('D').mean().iplot(dimensions=(800, 300), title='Electricity Prices', colors=recoycolors)\n",
"\n",
"# _source_output = s.optcase1.data[['hp_output_MWh', 'gb_output_MWh']].resample('M').sum()\n",
"# _total_output = _source_output.sum(axis=1)\n",
"# _data = _source_output.divide(_total_output, axis=0).rename(\n",
"# columns={'hp_output_MWh':'Heat pump', 'gb_output_MWh':'Gasboiler'}\n",
"# ) * 100\n",
"\n",
"# production_fig = _data.iplot(\n",
"# kind='bar',\n",
"# barmode='stack',\n",
"# colors=[recoydarkblue, recoygreen],\n",
"# title='Hybrid case: Heat production per Month by Source in % share',\n",
"# yTitle='Share of production in %',\n",
"# dimensions=(600, 400),\n",
"# asFigure=True\n",
"# )\n",
"\n",
"# production_fig = production_fig.update_layout(legend_traceorder=\"reversed\")\n",
"# production_fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"report = ComparisonReport(s.cases, kind='capex').report\n",
"report = report[report.index.str.contains('CAPEX')].T\n",
"capex_fig = report.iplot(\n",
" kind='bar', \n",
" barmode='relative',\n",
" colors=recoycolors,\n",
" title='CAPEX by Casestudy',\n",
" yTitle='CAPEX in €',\n",
" dimensions=(600, 400),\n",
" asFigure=True,\n",
")\n",
"\n",
"capex_fig = capex_fig.update_layout(legend_traceorder=\"reversed\")\n",
"capex_fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"cashflow_report = ComparisonReport(cases = s.cases, kind='cashflows')\n",
"\n",
"fig = cashflow_report.report.T.iplot(\n",
" kind='bar',\n",
" barmode='relative',\n",
" colors=recoycolors,\n",
" title='OPEX breakdown',\n",
" asFigure=True,\n",
" yTitle='€',\n",
" dimensions=(800, 600)\n",
")\n",
"\n",
"ebitda_report = ComparisonReport(cases=s.cases, kind='ebitda_calc')\n",
"scat = go.Scatter(\n",
" mode='markers',\n",
" y=ebitda_report.report.loc['EBITDA (€)', :].values, \n",
" x=ebitda_report.report.columns, \n",
" line=go.scatter.Line(color=recoydarkgrey),\n",
" marker=dict(\n",
" color=recoydarkgrey,\n",
" size=20,\n",
" line=dict(\n",
" color=recoydarkgrey,\n",
" width=3\n",
" ),\n",
" symbol='line-ew'\n",
" ),\n",
" name='EBITDA (€)'\n",
")\n",
"fig.add_trace(scat)\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_series = SingleFigureComparison(s.cases, 'ebitda', label='EBITDA').report\n",
"ebitda_graph = _series.iplot(\n",
" kind='bar',\n",
" title='Yearly EBITDA by Casestudy in €',\n",
" colors=recoygreen,\n",
" dimensions=(600, 400), \n",
" yTitle='EBITDA in €',\n",
" asFigure=True,\n",
" yrange=[_series.min() * 1.2, max(_series.max() * 2, 0)]\n",
")\n",
"\n",
"ebitda_graph.update_traces(\n",
" text=_series.values/1000_000, \n",
" textposition='outside', \n",
" texttemplate=\"%{text:.1f}M €\", \n",
")\n",
"\n",
"ebitda_graph"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_series = SingleFigureComparison(s.optcases, 'npv', label='NPV').report\n",
"\n",
"npv_graph = _series.iplot(\n",
" kind='bar',\n",
" title='NPV by Casestudy in €',\n",
" colors=recoygreen,\n",
" dimensions=(600, 400), \n",
" yTitle='NPV in €',\n",
" asFigure=True,\n",
" yrange=[0, _series.max() * 1.1]\n",
")\n",
"\n",
"npv_graph.update_traces(\n",
" text=_series.values/1000_000, \n",
" textposition='outside', \n",
" texttemplate=\"%{text:.1f}M €\", \n",
")\n",
"\n",
"npv_graph"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"irr_report = (SingleFigureComparison(s.optcases, 'irr', label='IRR').report * 100)\n",
"irr_fig = irr_report.iplot(\n",
" kind='bar',\n",
" title='IRR by Casestudy in %',\n",
" colors=recoygreen,\n",
" dimensions=(600, 400),\n",
" yTitle='IRR in %',\n",
" asFigure=True,\n",
" yrange=[0, irr_report.max() * 1.2]\n",
")\n",
"\n",
"irr_fig.update_traces(\n",
" text=irr_report.values, \n",
" textposition='outside', \n",
" texttemplate=\"%{text:.0f} %\", \n",
")\n",
"\n",
"irr_fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_series = (SingleFigureComparison(s.optcases, 'spp', label='Simple Payback Time').report)\n",
"spt_fig = _series.iplot(\n",
" kind='bar',\n",
" title='Simple Payback Time by Casestudy in Years',\n",
" colors=recoygreen,\n",
" dimensions=(600, 400),\n",
" yTitle='Years',\n",
" asFigure=True,\n",
" yrange=[0, _series.max() * 1.2]\n",
")\n",
"\n",
"spt_fig.update_traces(\n",
" text=_series.values, \n",
" textposition='outside', \n",
" texttemplate=\"%{text:.1f} years\", \n",
")\n",
"\n",
"spt_fig "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# s.hpcase.help(Store)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"mean_cops = (SingleFigureComparison(s.optcases, 'mean_cop', label='COP').report)\n",
"cop_fig = mean_cops.iplot(\n",
" kind='bar',\n",
" title='Mean COP by Casestudy',\n",
" colors=recoygreen,\n",
" dimensions=(600, 400),\n",
" yTitle='COP',\n",
" asFigure=True,\n",
" yrange=[0, mean_cops.max() * 1.2]\n",
")\n",
"\n",
"cop_fig.update_traces(\n",
" text=mean_cops.values, \n",
" textposition='outside', \n",
" texttemplate=\"%{text:.1f}\", \n",
")\n",
"\n",
"cop_fig "
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Sensitivity analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"We have agreed that for the sensitivity analysis we will vary the following key assumptions in the flex-model:\n",
"1. Market prices of gas and electricity. We will use the actual prices for 2019, the actual prices for 2020.\n",
"2. aFRR prices +/- 30%\n",
"3. CAPEX\n",
"4. CO2 price\n",
"5. Tsource +/- 10 degrees Celsius\n",
"6. Tsink\n",
" * Roam off the peak / lower pressure\n",
" * Stabalize / running average per hour/ 2 hours\n",
"7. __A scenario with a constraint on grid capacity and a scenario without grid capacity as a constraint__\n",
"8. Energy Tax and ODE +/- 30%"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def setup():\n",
" _c = Config()\n",
" s = setup_model(c=_c)\n",
" return s\n",
"\n",
"def routine(c, s):\n",
" s = load_data(c=c, s=s)\n",
" s = create_and_assign_assets(c=c, s=s)\n",
" #s = preprocessing(c=c, s=s)\n",
" s = run_optimisation(c=c, s=s)\n",
" #s = postprocessing(c=c, s=s)\n",
" s = collect_cashflows(c=c, s=s)\n",
" s = calculate_financials(c=c, s=s)\n",
" return s"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%time _s = setup()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%time result = routine(c, _s)\n",
"npv = result.hpcase.npv\n",
"npv"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Heat Pump CAPEX"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0.7, 1, 1.3, 2]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.hp_capex *= value\n",
" configs[value*100] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%%time\n",
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"\n",
"sens_capex = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='CAPEX factor (%)',\n",
" yTitle='Payback Period in years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Heat Pump CAPEX (€)',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_capex"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: CO2 prices"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"mean = 24.86\n",
"co2_prices = [10, 25, 50, 100]\n",
"\n",
"for price in co2_prices:\n",
" _c = Config()\n",
" multiplier = price / mean\n",
" _c.co2_price_multiplier = multiplier\n",
" configs[price] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%%time\n",
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('ebitda', case_names=['Baseline', 'Heatpump + SDE', 'Heatpump only', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Mean CO2 price in €',\n",
" yTitle='EBITDA in €',\n",
" yrange=[output.min().min() * 1.1, 0],\n",
" title='Sensitivity: CO2 prices > EBITDA',\n",
" colors=[recoypurple, recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_co2_spp = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Mean CO2 price in €',\n",
" yTitle='Payback Period in Years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: CO2 prices',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_co2_spp"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Mean CO2 price in €',\n",
" yTitle='NPV in €',\n",
" yrange=[output.min().min() * 10, output.max().max()*1.1],\n",
" title='Sensitivity: CO2 prices > NPV',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Gas prices"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0.7, 1, 1.3]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.gas_price_multiplier = value\n",
" configs[value * 100] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%%time\n",
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Gas price factor (%)',\n",
" yTitle='NPV in €',\n",
" yrange=[output.min().min()*1.5, output.max().max()*1.1],\n",
" title='Sensitivity: Gas prices',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Day Ahead buying amount"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0, 0.5, 1]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.day_ahead_buying_perc = value\n",
" configs[value * 100] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Volume in %',\n",
" yTitle='NPV in €',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Volume bought on Day-Ahead market in %',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Electricity prices"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0.7, 1, 1.3]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.e_price_multiplier = value\n",
" configs[value * 100] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_eprices = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Electricity price factor in %',\n",
" yTitle='Payback Period in years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Electricity prices',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_eprices"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Electricity price volatility"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0.7, 1, 1.3]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.e_price_volatility_multiplier = value\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_evol = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Volatility factor',\n",
" yTitle='Payback period in years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: E-price volatility',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_evol"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: aFRR capacity fee"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [10_000, 25_000, 50_000]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.afrr_capacity_fee = value\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_affr_fee = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='aFRR capacity fee in €/MW',\n",
" yTitle='Payback Period in years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: aFRR capacity fee',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_affr_fee"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Energy tax"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [0.7, 1, 1.3]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.energy_tax_multiplier = value\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Factor',\n",
" yTitle='NPV in €',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Energy taxes',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Tsource"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [-25, -10, 0, 10, 25]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.tsource_delta = value\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.loc[-25, 'Heatpump only'] = np.nan\n",
"sens_tsource = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Tsource delta',\n",
" yTitle='Payback Period in years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Tsource',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_tsource"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('mean_cop', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Tsource delta',\n",
" yTitle='COP',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Tsource > Mean COP',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Tsink"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"_s = setup()\n",
"configs = {}\n",
"values = [-25, -10, 0, 10, 25]\n",
"for value in values:\n",
" _c = Config()\n",
" _c.tsink_delta = value\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"sens = SensitivityAnalysis(_s, routine, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('spp', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_tsink = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Tsink delta',\n",
" yTitle='Payback Period in Years',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Tsink',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_tsink"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"output = sens.single_kpi_overview('mean_cop', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"sens_tsink_cop = output.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Tsink delta',\n",
" yTitle='COP',\n",
" yrange=[0, output.max().max()*1.1],\n",
" title='Sensitivity: Tsink > Mean COP',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400),\n",
" asFigure=True\n",
")\n",
"sens_tsink_cop"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Sensitivity: Time period"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def routine2(c, s):\n",
" s = setup_model(c=c)\n",
" s = load_data(c=c, s=s)\n",
" s = create_and_assign_assets(c=c, s=s)\n",
" s = run_optimisation(c=c, s=s)\n",
" s = collect_cashflows(c=c, s=s)\n",
" s = calculate_financials(c=c, s=s)\n",
" return s"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"configs = {}\n",
"start_values = ['2018-01-01', '2019-01-01', '2019-11-01']\n",
"\n",
"for value in start_values:\n",
" _c = Config()\n",
" _c.start = value\n",
" _c.end = (pd.to_datetime(value) + timedelta(days=364)).strftime('%Y-%m-%d')\n",
" configs[value] = _c"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"%%time\n",
"sens = SensitivityAnalysis(_s, routine2, configs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"result = sens.single_kpi_overview('npv', case_names=['Heatpump only', 'Heatpump + SDE', 'Optimisation', 'Optimisation + aFRR'])\n",
"result.iplot(\n",
" mode='lines+markers',\n",
" symbol='circle-dot',\n",
" size=10,\n",
" xTitle='Start date',\n",
" yTitle='NPV in €',\n",
" yrange=[0, result.max().max()*1.1],\n",
" title='Sensitivity: Modelled time period',\n",
" colors=[recoygreen, recoyyellow, recoydarkblue, recoyred],\n",
" dimensions=(600, 400)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Report"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"renderer = 'svg'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# __Presentation Flexible Heatpumps__\n",
"\n",
"ENCORE meeting: 17-12-2020\n",
"Mark Kremer\n",
"\n",
" \n",
" \n",
" \n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## __Central question:__\n",
"#### *Can Smurfit Kappi shorten the Payback Period of an investment in a Heatpump by operating it in a flexible manner?*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Flexible operations on imbalance market__\n",
"\n",
"Benefiting from fluctuations in electricity market prices by ramping the asset up- and down (increasing and decreasing the electricity consumption)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_example_1 = s.hpcase.data[['DAM']].iloc[:60*24].iplot(\n",
" title='Day-Ahead prices on arbitrary day in €/MWh',\n",
" yrange=[-100, 200],\n",
" colors=recoygreen, \n",
" yTitle='Price in €/MWh',\n",
" xTitle='Time of Day',\n",
" dimensions=(800, 400),\n",
" asFigure=True\n",
")\n",
"\n",
"fig_example_1.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Imbalance prices are very volatile, with prices below -100 and above 200 €/MWh on a daily basis."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_example_2 = s.hpcase.data[['DAM', 'POS']].rename(columns={'POS':'IMB'}).iloc[:60*24].iplot(\n",
" title='Imbalance Prices on arbitrary day in €/MWh',\n",
" colors=[recoygreen, recoydarkblue], \n",
" yTitle='Price in €/MWh',\n",
" xTitle='Time of Day',\n",
" dimensions=(800, 400),\n",
" asFigure=True\n",
")\n",
"\n",
"fig_example_2.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is possible to benefit from these fluctiations, if you have __flexibility__\n",
"* Storage options\n",
"* Hybrid installations (e.g. with gas-powered assets)\n",
"\n",
"In this case we are looking at a __hybrid set-up of a Steamboiler and a Heatpump__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Simulations & mathematical modelling__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* To answer the central question, we have build a simulation model\n",
"* The model simulates the operations of a hybrid set-up of a Heatpump and a Steamboiler over the timespan of 1 years (on a 1 minute basis)\n",
"* The goal of the model is to minimize the operating costs, in order to reach the shortest Payback Period\n",
"* We are taking into account all major investment and operating costs, including:\n",
" * Asset CAPEX\n",
" * Commodity costs for gas and electricity\n",
" * Energy taxes\n",
" * Grid transport costs\n",
" * SDE++ subsidies\n",
" * Maintenance costs\n",
" * CO2 allowances\n",
"* The output of the model is a Payback Period for an investment in an heatpump, in different scenario's"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Casestudies__\n",
"5 main scenario's"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"1. Steamboiler only (baseline, baseload)\n",
"2. Heatpump only (stand-alone, baseload, without SDE++)\n",
"3. Heatpump + SDE\n",
"4. Heatpump + SDE + Steam boiler (hybrid set-up) on Imbalance market\n",
"5. Heatpump + SDE + Steam boiler (hybrid set-up) on aFRR (secondary reserve market)\n",
"\n",
"Besides that, we modelled 11 sensitivities:\n",
"* Heatpump CAPEX\n",
"* Gas & CO2 prices\n",
"* Electricity prices & volatility\n",
"* Energy taxes\n",
"* Bidding strategies\n",
"* Source temperatures (affecting COP)\n",
"* Sink temperatures (affecting COP)\n",
"* Time period (2018, 2019, 2020)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Smurfit Kappa case__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model is based on the context of Smurfit Kappa (paper factory)\n",
"* Currently a Steamboiler is providing the 20-30 MW of average heat demand for drying processes\n",
"* We add a 31 MW heatpump (to make sure it can cover entire demand)\n",
"* The steam demand must be fulfilled at all times, by either the heatpump or the gasboiler\n",
"* The heatpump and steam boiler can both respond very quickly (within minutes) within a flexible range (30%-100% for heatpump)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_demands_over_time.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Source temperatures of around 65 degrees C\n",
"* Sink temperatures of 125-170 degrees C \n",
"* Average Temperature lift of about 85 degrees C"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"demands_fig.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Heat pump__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"COP roughly between 4 and 1.5, depending on load, Tsource and Tsink"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def cop_curve(Tsink, Tsource):\n",
" Tsink += 273\n",
" Tsource += 273\n",
"\n",
" c1 = 0.267 * Tsink / (Tsink - Tsource)\n",
" c2 = 0.333 * Tsink / (Tsink - Tsource)\n",
" \n",
" return Polynomial([c2, c1])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sourceT = 63\n",
"sinkT = 140\n",
"cop_curve(sourceT, sinkT)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_cop_curve.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Optimisation__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* At each moment in time, we calculate the cheapest option to produce the required heat. \n",
"* Taking into account the COP fluctuations, due to changing Tsource and Tsink\n",
"* Taking into account fluctuating market prices (electricity, gas, CO2)\n",
"* We are predicting real-time electricity prices using our forecasting models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Some example days:__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Steamboiler only is following demand pattern"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_steamboiler.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Similar pattern for heatpump only case"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_heatpump.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hybrid set-up is responding to price fluctuactions, steam boiler taking over at high prices"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_optcase.show(renderer=renderer)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig_optcase2.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Business case__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"CAPEX of around 6 M€ (200.000 €/MW), which need to be earned back by savings in operating costs"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"capex_fig.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Savings in EBITDA compared to the baseline are about 1.5 mln € without subsidy, and up to 4.5 mln € including subsidy\n",
"* The optimisation on aFRR allows for a 30-40% improvement in EBITDA"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"ebitda_graph.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Resulting in a Payback Period of 5.4 years without subsidy, and 1.8 years with subsidy"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"spt_fig.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The added value of the optimisation is limited (in absolute terms), which is explained by the high COP of the heatpump"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"production_fig.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* The heatpump is filling in 95-98 % of the demand. \n",
"* Because of its high COP, it is almost always cheaper to run than the steam boiler\n",
"* Switch price is on average around 90€/MWh (excluding subsidies)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Sensitivities__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If CAPEX is 200%, subsidy is needed to keep a good Payback Time"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_capex.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Subsidies are protecting the business case againsts low CO2 prices"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_co2_spp.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* The businesscase is quite sensitive to Tsource and Tsink differences, because they directly impact the COP\n",
"* The Smurtfit Kappa case, with a temperature lifte of about 85 degrees C on average, looks favorable. \n",
"* When the temperature lift is higher, the COP will decrease and the business case will degrade"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_tsource.show(renderer=renderer)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_tsink.show(renderer=renderer)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_tsink_cop.show(renderer=renderer)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sens_eprices.show(renderer=renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### __Conclusions__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* The business case for a Heat Pump seems favourable\n",
"* Flexible operation, using aFRR, can improve the operational results by 30-40%\n",
"* However, this only results in a marginal improvement of the business case\n",
"* SDE++ has a very favourable effect on the business case, but is not critical\n",
"* The business case is notably sensitive to the temperature lift required, and is therefore strongly dependent on the specific use case."
]
}
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