{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"#### Imports"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
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"metadata": {},
"output_type": "display_data"
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{
"name": "stdout",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\__init__.py\n"
]
}
],
"source": [
"from datetime import timedelta, datetime\n",
"import json\n",
"import pprint\n",
"from copy import deepcopy\n",
"import pytz\n",
"\n",
"import cufflinks\n",
"cufflinks.go_offline()\n",
"import numpy as np\n",
"from numpy.polynomial import Polynomial\n",
"import pandas as pd\n",
"from tqdm.notebook import tqdm\n",
"\n",
"import sys\n",
"\n",
"import os\n",
" \n",
"# Path to the folder containing the alternate version of PyRecoy\n",
"\n",
"alternate_pyrecoy_path = 'C:\\\\Users\\\\z004yn8c\\\\OneDrive - Siemens AG\\\\Documents\\\\GitHub\\\\Mooi-Kickstart\\\\pyrecoy\\\\pyrecoy'\n",
" \n",
"# Add the path to sys.path\n",
"\n",
"if alternate_pyrecoy_path not in sys.path:\n",
"\n",
" sys.path.insert(0, alternate_pyrecoy_path)\n",
" \n",
"# Now import PyRecoy\n",
"\n",
"import pyrecoy2\n",
"\n",
"# Check the version or path to confirm\n",
"\n",
"print(pyrecoy2.__file__)\n",
"\n",
"\n",
"from pyrecoy2.assets import Heatpump, Eboiler, GasBoiler, HotWaterStorage\n",
"from pyrecoy2.colors import *\n",
"from pyrecoy2.converters import *\n",
"from pyrecoy2.financial import calculate_eb_ode, get_tax_tables, get_tax_rate, get_grid_tariffs_electricity\n",
"from pyrecoy2.framework import TimeFramework\n",
"from pyrecoy2.casestudy import CaseStudy\n",
"from pyrecoy2.plotting import ebitda_bar_chart, npv_bar_chart\n",
"from pyrecoy2.reports import CaseReport, ComparisonReport, BusinessCaseReport, SingleFigureComparison\n",
"from pyrecoy2.sensitivity import SensitivityAnalysis\n",
"from pyrecoy2.prices import get_tennet_data, get_afrr_capacity_fees_nl\n",
"from pyrecoy2.forecasts import Mipf, Forecast\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"#### Development backlog"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"* aFRR (can improve the optimisation case)\n",
"* Report\n",
"\n",
"--\n",
"* Create strategy on imbalance POS (buy 100% day-ahead, and respond to high prices)\n",
"* Graphs\n",
" * EBITDA vs. baseline (earnings vs baseline)\n",
"* Show COP curves in different cases, just for illustration\n",
"* Energy report --> Check + add gas\n",
"* Fix comparison reports\n",
"* Model verification"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"#### Meeting Notes"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"##### Meeting 25-11-2020"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"* aFRR can help optimisation case\n",
"* SDE++ should be included\n",
"* Tsource sensitivity really gives interesting insights\n",
"* Sensitivities should be verified (especially CO2, Tsink, Tsource, time period)\n",
"* AP TNO: Update/verify COP curve\n",
"* AP TNO: Update CAPEX\n",
"* AP Mark: \n",
" * Create graphs on COP curve with different Tsource, Tsink\n",
" * Generate table and output in .csv (send it to Andrew)\n",
"* Investigate opportunity to lower the COP and negative electricity prices\n",
" * Technically feasible, but not really needed/possible to do it in this project\n",
"* Could be interesting to run this model on a usecase with higher delta T\n",
"* Conclusion: Finalize this model, but not add too much extra complexity, next steps is to go towards industrial partners with the results"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"# ENCORE : Heatpump Optimisation Framework\n",
"\n",
"***\n",
"© Mark Kremer \n",
"July 2020\n",
"##### Cases\n",
"In this model, 3 cases are compared:\n",
"* **Baseline** : All heat is supplied by steam turbine\n",
"* **Heatpump case** : All heat is supplied by heatpump\n",
"* **Hybrid case** : Steam turbine and heatpump run in hybrid mode, and are optimised on costs in real-time"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"#### Loading config"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"class Config():\n",
" start = '2019-01-01'\n",
" end = '2019-12-31'\n",
" # year = '2019'\n",
" # startdate = year + '-01-01'\n",
" # enddate = str(year) + '-12-31'\n",
" # start = datetime.strptime(startdate, \"%Y-%m-%d\").astimezone(pytz.timezone('Europe/Amsterdam'))\n",
" # end = datetime.strptime(enddate, \"%Y-%m-%d\").astimezone(pytz.timezone('Europe/Amsterdam'))\n",
" # start = start.astimezone(pytz.UTC)\n",
" # end = end.astimezone(pytz.UTC)\n",
" \n",
" hp_vdg_e_power = 23.3 # MW\n",
" hp_ndg_e_power = 7.7 # MW\n",
" hp_min_load = 0\n",
" hp_lifetime = 25\n",
" hp_capex = 200_000 # EUR/MWth\n",
" hp_opex = 0.01 # in % of CAPEX\n",
" hp_devex = 0.005 # in % of CAPEX\n",
" \n",
" gb_power = 35 # MW\n",
" gb_efficiency = 0.9\n",
" \n",
" storage_power = 25\n",
" storage_volume = 1000\n",
" storage_cap_per_volume = 50 * 1e-3\n",
" storage_lifetime = 25\n",
" storage_temperature = 95\n",
" storage_min_level = storage_volume * storage_cap_per_volume * 0.05\n",
" storage_capex_per_MW = 7_000\n",
" storage_capex_per_MWh = 5_000\n",
" storage_opex_perc_of_capex = 0.02\n",
" # storage_initial_level = 5\n",
" threshold = 20\n",
" \n",
" tax_bracket_g = 4 \n",
" tax_bracket_e = 4\n",
" \n",
" include_transport_costs = False\n",
" grid_operator = 'Liander'\n",
" connection_type = 'TS/MS'\n",
" \n",
" discount_rate = 0.1\n",
" project_duration = 12\n",
"\n",
" forecast = 'ForeNeg'\n",
" gas_price_multiplier = 1\n",
" e_price_multiplier = 1\n",
" e_price_volatility_multiplier = 1\n",
" co2_price_multiplier = 1\n",
" tsource_delta = 0\n",
" tsink_delta = 0\n",
" energy_tax_multiplier = 1\n",
" \n",
" # Review the SDE implementation\n",
" sde_base_amount = 81\n",
" longterm_gas_price = 24.00\n",
" longterm_co2_price = 37.90\n",
" sde_switch_price_correction = 40\n",
" \n",
" day_ahead_buying_perc = 0.3\n",
" \n",
" afrr_capacity_fee = 25_000\n",
"\n",
"c = Config()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"class Store():\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Model set-up"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"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), \n",
" freq='1T',\n",
" tz='Europe/Amsterdam')\n",
" dt_index = dt_index[:len(demand)]\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": 14,
"metadata": {},
"outputs": [],
"source": [
"s = Store()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"testets\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\framework.py:41: 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",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\forecasts.py:62: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\forecasts.py:115: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\framework.py:54: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\framework.py:54: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\framework.py:54: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\AppData\\Local\\Temp\\ipykernel_5264\\3838043831.py:3: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n"
]
}
],
"source": [
"def setup_model(c):\n",
" s = Store()\n",
" \n",
" s.time_fw = TimeFramework(start=c.start, end=c.end)\n",
" # s.minute_ix = s.time_fw.dt_index(freq='1T')\n",
" mipf = Mipf(None, start=s.time_fw.start, end=s.time_fw.end, from_database=True, add_days_to_start_end=False).data\n",
" s.mipf = mipf\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_PCM = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + Storage_PCM', data=mipf)\n",
" # s.storage_case_TCM = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + Storage_TCM', data=mipf)\n",
" # s.storage_case_battery = CaseStudy(time_fw=s.time_fw, freq='1T', name='Heatpump + Storage_battery', data=mipf)\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_PCM]\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": 16,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\AppData\\Local\\Temp\\ipykernel_5264\\2657160476.py:1: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\AppData\\Local\\anaconda3\\Lib\\site-packages\\cufflinks\\plotlytools.py:117: FutureWarning:\n",
"\n",
"DatetimeIndex.format is deprecated and will be removed in a future version. Convert using index.astype(str) or index.map(formatter) instead.\n",
"\n"
]
},
{
"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
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"mode": "lines",
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"text": "",
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",
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s.demand.resample('15T').mean()[['Tsource (VDG)', 'Tsink (VDG)']].iplot()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"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 "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.demand.describe()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"# !pip show sqlalchemy"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# !conda install -c conda-forge sqlalchemy=1.4.52"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# python3 -m ensurepip --upgrade"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Load in data"
]
},
{
"cell_type": "code",
"execution_count": 22,
"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": 23,
"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": 24,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:531: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:443: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:531: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:443: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:531: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\prices.py:443: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n"
]
}
],
"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": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" ForeNeg | \n",
" ForePos | \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",
" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
" 6.6 | \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",
" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
" 6.6 | \n",
" 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",
" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
" 6.6 | \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",
" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
" 6.6 | \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",
" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
" 6.6 | \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 ForeNeg ForePos \\\n",
"2019-01-01 00:00:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:01:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:02:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:03:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:04:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"\n",
" Gas prices (€/MWh) CO2 prices (€/ton) \\\n",
"2019-01-01 00:00:00+01:00 20.83 34.24 \n",
"2019-01-01 00:01:00+01:00 20.83 34.24 \n",
"2019-01-01 00:02:00+01:00 20.83 34.24 \n",
"2019-01-01 00:03:00+01:00 20.83 34.24 \n",
"2019-01-01 00:04:00+01:00 20.83 34.24 \n",
"\n",
" CO2 prices (€/MWh) Tsource (VDG) Tsink (VDG) \\\n",
"2019-01-01 00:00:00+01:00 6.6 64.990 143.360 \n",
"2019-01-01 00:01:00+01:00 6.6 64.985 143.089 \n",
"2019-01-01 00:02:00+01:00 6.6 64.980 142.818 \n",
"2019-01-01 00:03:00+01:00 6.6 64.975 142.547 \n",
"2019-01-01 00:04:00+01:00 6.6 64.970 142.276 \n",
"\n",
" MW (VDG) Tsource (NDG) Tsink (NDG) MW (NDG) \\\n",
"2019-01-01 00:00:00+01:00 0.0 20.510 147.620 0.0 \n",
"2019-01-01 00:01:00+01:00 0.0 20.387 147.642 0.0 \n",
"2019-01-01 00:02:00+01:00 0.0 20.264 147.664 0.0 \n",
"2019-01-01 00:03:00+01:00 0.0 20.141 147.686 0.0 \n",
"2019-01-01 00:04:00+01:00 0.0 20.018 147.708 0.0 \n",
"\n",
" Total demand \n",
"2019-01-01 00:00:00+01:00 0.0 \n",
"2019-01-01 00:01:00+01:00 0.0 \n",
"2019-01-01 00:02:00+01:00 0.0 \n",
"2019-01-01 00:03:00+01:00 0.0 \n",
"2019-01-01 00:04:00+01:00 0.0 "
]
},
"execution_count": 25,
"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": 28,
"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": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$x \\mapsto \\text{1.08290551} + \\text{0.86827559}\\,x$"
],
"text/plain": [
"Polynomial([1.08290551, 0.86827559], domain=[-1, 1], window=[-1, 1], symbol='x')"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cop_curve(140, 13)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$x \\mapsto \\text{2.05267164} + \\text{1.64583582}\\,x$"
],
"text/plain": [
"Polynomial([2.05267164, 1.64583582], domain=[-1, 1], window=[-1, 1], symbol='x')"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cop_curve(140, 73)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"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": 32,
"metadata": {},
"outputs": [],
"source": [
"#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=13)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"#heatpump.get_cop(heat_output=load, Tsink=140, Tsource=99)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"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": 35,
"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": 36,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"line": {
"color": "rgba(70, 165, 121, 1.0)",
"dash": "solid",
"shape": "linear",
"width": 1.3
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"mode": "lines",
"name": "None",
"text": "",
"type": "scatter",
"x": [
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0.02,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig_cop_curve = cop_series.iplot(title=f'Heatpump COP curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='COP', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n",
"fig_cop_curve"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
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"text": "",
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""
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig_load_curve = load_series.iplot(title=f'Heatpump Load curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='E-load', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n",
"fig_load_curve"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"def cop_curve_new(Tsink, Tsource):\n",
" Tsink += 273\n",
" Tsource += 273\n",
" Tlift = Tsink - Tsource\n",
"\n",
" c0 = 0.0005426*Tlift**2 - 0.1178*Tlift + 6.962\n",
" c1 = 6.7058 \n",
" c2 = -1.79\n",
" \n",
" return Polynomial([c0, c1, c2])"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"data": {
"text/latex": [
"$x \\mapsto \\text{19.2496754} + \\text{6.7058}\\,x - \\text{1.79}\\,x^{2}$"
],
"text/plain": [
"Polynomial([19.2496754, 6.7058 , -1.79 ], domain=[-1, 1], window=[-1, 1], symbol='x')"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sourceT = 63 + 273\n",
"sinkT = 140 + 273\n",
"cop_curve_new(sourceT, sinkT)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [],
"source": [
"heatpump = Heatpump(\n",
" name='Heatpump',\n",
" max_th_power=1,\n",
" min_th_power=0,\n",
" cop_curve=cop_curve_new\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"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": 42,
"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": 43,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sourceTs = np.arange(25, 100)\n",
"sinkT = 140 + 273\n",
"load = 1 \n",
"cop_series = pd.Series(index=sourceTs, dtype='float')\n",
"\n",
"for sourceT in sourceTs:\n",
" cop = heatpump.get_cop(heat_output=load, Tsink=sinkT, Tsource=sourceT + 273)\n",
" cop_series[sourceT] = cop\n",
" \n",
"cop_series.iplot(yrange=[0, 8], xTitle='Source Temperature', yTitle='COP', dimensions=(800, 400))"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"line": {
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"dash": "solid",
"shape": "linear",
"width": 1.3
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"mode": "lines",
"name": "None",
"text": "",
"type": "scatter",
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"y": [
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"layout": {
"height": 400,
"legend": {
"bgcolor": "#F5F6F9",
"font": {
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},
"paper_bgcolor": "#F5F6F9",
"plot_bgcolor": "#F5F6F9",
"template": {
"data": {
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{
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"error_y": {
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"pattern": {
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},
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"barpolar": [
{
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""
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},
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],
"source": [
"fig_cop_curve = cop_series.iplot(title=f'Heatpump COP curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='COP', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n",
"fig_cop_curve"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
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",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig_load_curve = load_series.iplot(title=f'Heatpump Load curve at Tsource={sourceT} and Tsink={sinkT}', yTitle='E-load', xTitle='Thermal load in %', colors=recoygreen, asFigure=True, dimensions=(600,400))\n",
"fig_load_curve"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Create and assign assets"
]
},
{
"cell_type": "code",
"execution_count": 47,
"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_PCM.add_asset(heatpump_vdg)\n",
" s.storage_case_PCM.add_asset(heatpump_ndg)\n",
" s.storage_case_PCM.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": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"HotWaterStorage(name=HotWaterStorage, rated_power=25, capacity=50.0, temperature=95, min_storagelevel=2.5)"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.assets['HotWaterStorage']"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"## Optimization"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"exclude"
]
},
"source": [
"### Strategies"
]
},
{
"cell_type": "code",
"execution_count": 51,
"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": 52,
"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": 53,
"metadata": {},
"outputs": [],
"source": [
"Tref = 0\n",
"Cp = 4190 #J/kgK\n",
"MWtoJs = 1000_000\n",
"\n",
"def power_to_mass_flow(power_MW, Tsink, Tref, Cp):\n",
" return power_MW * MWtoJs /(Cp*(Tsink - Tref))\n",
"def energy_to_storage(hp_heat_output_MW, process_demand_MW):\n",
" return hp_heat_output_MW - process_demand_MW #MW\n",
"\n",
"def Tsource_calculation(Tstorage, discharge_power, Tsource, process_mass_flow): \n",
" discharge_mass_flow = power_to_mass_flow(discharge_power, Tstorage, Tref, Cp)\n",
" \n",
" combined_mass_flow = (discharge_mass_flow + process_mass_flow)\n",
" if combined_mass_flow == 0:\n",
" return Tsource\n",
" else: \n",
" return (Tstorage * discharge_mass_flow + Tsource * process_mass_flow) / combined_mass_flow"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [],
"source": [
"def hp_storage_opt_enginge(c, ws, hp_vdg, hp_ndg, pos, neg, dam, demand_vdg, demand_ndg, tsource_vdg, tsink_vdg, tsource_ndg, tsink_ndg):\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 < dam - c.threshold:\n",
" # overproduce\n",
" if demand_vdg != 0:\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",
" else:\n",
" e_load_vdg, th_load_vdg = (0,0)\n",
" \n",
" if demand_ndg != 0:\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",
" else:\n",
" e_load_ndg, th_load_ndg = (0,0)\n",
" \n",
"\n",
" elif pos > dam + c.threshold:\n",
" # take from storage\n",
" if demand_vdg != 0:\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",
" e_load_vdg, th_load_vdg = (0,0)\n",
" \n",
" #print({f'from_storage_vdg_MW='})\n",
" if demand_ndg != 0:\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_ndg, th_load_ndg = (0,0)\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",
" return e_load_vdg, th_load_vdg, e_load_ndg, th_load_ndg, tsource_vdg, tsource_ndg, to_storage_vdg_MW, from_storage_vdg_MW, to_storage_ndg_MW, from_storage_ndg_MW, ws, hp_vdg, hp_ndg\n",
"# Neg-take price, Pos-feed price"
]
},
{
"cell_type": "code",
"execution_count": 55,
"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",
" e_load_vdg, th_load_vdg, e_load_ndg, th_load_ndg, tsource_vdg, tsource_ndg, to_storage_vdg_MW, from_storage_vdg_MW, to_storage_ndg_MW, from_storage_ndg_MW, ws, hp_vdg, hp_ndg = hp_storage_opt_enginge(\n",
" c, ws, hp_vdg, hp_ndg, pos_prices[m], neg_prices[m], dam_prices[m], demand_vdg, demand_ndg, \n",
" tsource_vdg, tsink_vdg, tsource_ndg, tsink_ndg\n",
" )\n",
" \n",
" hp_vdg_input[m] = e_load_vdg\n",
" hp_vdg_output[m] = th_load_vdg\n",
" hp_ndg_input[m] = e_load_ndg\n",
" hp_ndg_output[m] = th_load_ndg\n",
" \n",
" storage_levels[m] = ws.chargelevel\n",
" new_tsources_vdg[m] = tsource_vdg\n",
" new_tsources_ndg[m] = tsource_ndg\n",
" to_storage_vdg_list[m] = to_storage_vdg_MW\n",
" from_storage_vdg_list[m] = from_storage_vdg_MW\n",
" to_storage_ndg_list[m] = to_storage_ndg_MW\n",
" from_storage_ndg_list[m] = from_storage_ndg_MW\n",
" \n",
" case.data['hp_output_MW'] = np.array(hp_vdg_output) + np.array(hp_ndg_output)\n",
" case.data['hp_input_MW'] = np.array(hp_vdg_input) + np.array(hp_ndg_input)\n",
" case.data['cop'] = case.data['hp_output_MW'] / -case.data['hp_input_MW']\n",
" case.data['tsource_vdg'] = new_tsources_vdg\n",
" case.data['tsource_ndg'] = new_tsources_ndg\n",
" case.data['to_storage_ndg_MW'] = to_storage_ndg_list\n",
" case.data['from_storage_ndg_MW'] = from_storage_ndg_list\n",
" case.data['to_storage_vdg_MW'] = to_storage_vdg_list\n",
" case.data['from_storage_vdg_MW'] = from_storage_vdg_list\n",
" case.data['to_storage_MW'] = case.data['to_storage_vdg_MW'] + case.data['to_storage_ndg_MW']\n",
" case.data['from_storage_MW'] = case.data['from_storage_vdg_MW'] + case.data['from_storage_ndg_MW']\n",
" case.data['storage_level_MWh'] = storage_levels\n",
" \n",
" for col in case.data.columns:\n",
" if col.endswith('MW'):\n",
" case.data[col + 'h'] = case.data[col] / 60\n",
"\n",
" case.data = case.data.round(3)\n",
" return case\n"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"# charge_times = print(sum(s.storage_case_PCM.data['to_storage_MW']!= 0))\n",
"# discharge_times = print(sum(s.storage_case_PCM.data['from_storage_MW']!= 0))\n",
"# # 154476 times out of 525600, the storage is used to charge/dischage\n",
"# # from 39 000 to 110 000 discharge time increases\n"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"s.storage_case_PCM = hponly_with_storage(s.storage_case_PCM)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" ForeNeg | \n",
" ForePos | \n",
" Gas prices (€/MWh) | \n",
" CO2 prices (€/ton) | \n",
" CO2 prices (€/MWh) | \n",
" Tsource (VDG) | \n",
" Tsink (VDG) | \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",
" | 2019-06-12 18:30:00+02:00 | \n",
" 48.50 | \n",
" 29.74 | \n",
" 29.74 | \n",
" 29.63 | \n",
" 29.63 | \n",
" 11.05 | \n",
" 26.32 | \n",
" 5.08 | \n",
" 65.11 | \n",
" 141.81 | \n",
" ... | \n",
" 0.0 | \n",
" 9.826 | \n",
" 0.442 | \n",
" -0.080 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-05-24 08:53:00+02:00 | \n",
" 50.95 | \n",
" 33.90 | \n",
" 33.90 | \n",
" 36.89 | \n",
" 35.86 | \n",
" 12.28 | \n",
" 29.02 | \n",
" 5.60 | \n",
" 66.01 | \n",
" 153.36 | \n",
" ... | \n",
" 0.0 | \n",
" 8.402 | \n",
" 0.461 | \n",
" -0.087 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
2 rows × 35 columns
\n",
"
"
],
"text/plain": [
" DAM POS NEG ForeNeg ForePos \\\n",
"2019-06-12 18:30:00+02:00 48.50 29.74 29.74 29.63 29.63 \n",
"2019-05-24 08:53:00+02:00 50.95 33.90 33.90 36.89 35.86 \n",
"\n",
" Gas prices (€/MWh) CO2 prices (€/ton) \\\n",
"2019-06-12 18:30:00+02:00 11.05 26.32 \n",
"2019-05-24 08:53:00+02:00 12.28 29.02 \n",
"\n",
" CO2 prices (€/MWh) Tsource (VDG) Tsink (VDG) \\\n",
"2019-06-12 18:30:00+02:00 5.08 65.11 141.81 \n",
"2019-05-24 08:53:00+02:00 5.60 66.01 153.36 \n",
"\n",
" ... from_storage_MW storage_level_MWh \\\n",
"2019-06-12 18:30:00+02:00 ... 0.0 9.826 \n",
"2019-05-24 08:53:00+02:00 ... 0.0 8.402 \n",
"\n",
" hp_output_MWh hp_input_MWh to_storage_ndg_MWh \\\n",
"2019-06-12 18:30:00+02:00 0.442 -0.080 0.0 \n",
"2019-05-24 08:53:00+02:00 0.461 -0.087 0.0 \n",
"\n",
" from_storage_ndg_MWh to_storage_vdg_MWh \\\n",
"2019-06-12 18:30:00+02:00 0.0 0.0 \n",
"2019-05-24 08:53:00+02:00 0.0 0.0 \n",
"\n",
" from_storage_vdg_MWh to_storage_MWh \\\n",
"2019-06-12 18:30:00+02:00 0.0 0.0 \n",
"2019-05-24 08:53:00+02:00 0.0 0.0 \n",
"\n",
" from_storage_MWh \n",
"2019-06-12 18:30:00+02:00 0.0 \n",
"2019-05-24 08:53:00+02:00 0.0 \n",
"\n",
"[2 rows x 35 columns]"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data.sample(2)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"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",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
" 525600.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 41.195801 | \n",
" 40.391060 | \n",
" 42.554082 | \n",
" 24.354581 | \n",
" 0.894045 | \n",
" 23.460537 | \n",
"
\n",
" \n",
" | std | \n",
" 11.278173 | \n",
" 51.226931 | \n",
" 52.003252 | \n",
" 7.151966 | \n",
" 2.633376 | \n",
" 6.814125 | \n",
"
\n",
" \n",
" | min | \n",
" -9.020000 | \n",
" -487.650000 | \n",
" -487.650000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
"
\n",
" \n",
" | 25% | \n",
" 34.100000 | \n",
" 24.470000 | \n",
" 25.530000 | \n",
" 22.760000 | \n",
" 0.000000 | \n",
" 22.676000 | \n",
"
\n",
" \n",
" | 50% | \n",
" 39.700000 | \n",
" 31.110000 | \n",
" 32.160000 | \n",
" 26.980000 | \n",
" 0.000000 | \n",
" 26.441000 | \n",
"
\n",
" \n",
" | 75% | \n",
" 47.392500 | \n",
" 40.900000 | \n",
" 42.540000 | \n",
" 28.010000 | \n",
" 0.000000 | \n",
" 27.690000 | \n",
"
\n",
" \n",
" | max | \n",
" 121.460000 | \n",
" 936.120000 | \n",
" 936.120000 | \n",
" 31.000000 | \n",
" 25.000000 | \n",
" 30.900000 | \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 24.354581 \n",
"std 11.278173 51.226931 52.003252 7.151966 \n",
"min -9.020000 -487.650000 -487.650000 0.000000 \n",
"25% 34.100000 24.470000 25.530000 22.760000 \n",
"50% 39.700000 31.110000 32.160000 26.980000 \n",
"75% 47.392500 40.900000 42.540000 28.010000 \n",
"max 121.460000 936.120000 936.120000 31.000000 \n",
"\n",
" to_storage_MW Total demand \n",
"count 525600.000000 525600.000000 \n",
"mean 0.894045 23.460537 \n",
"std 2.633376 6.814125 \n",
"min 0.000000 0.000000 \n",
"25% 0.000000 22.676000 \n",
"50% 0.000000 26.441000 \n",
"75% 0.000000 27.690000 \n",
"max 25.000000 30.900000 "
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW', 'Total demand']].describe()"
]
},
{
"cell_type": "code",
"execution_count": 60,
"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",
"
\n",
" \n",
" \n",
" \n",
" | 2019-11-27 14:55:00+01:00 | \n",
" 43.67 | \n",
" 44.13 | \n",
" 44.13 | \n",
" 27.370 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.370 | \n",
"
\n",
" \n",
" | 2019-10-22 22:14:00+02:00 | \n",
" 39.50 | \n",
" 26.17 | \n",
" 26.17 | \n",
" 22.952 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 22.952 | \n",
"
\n",
" \n",
" | 2019-12-30 20:12:00+01:00 | \n",
" 39.00 | \n",
" 59.99 | \n",
" 59.99 | \n",
" 20.820 | \n",
" 0.00 | \n",
" 25.0 | \n",
" 20.820 | \n",
"
\n",
" \n",
" | 2019-11-25 09:13:00+01:00 | \n",
" 58.42 | \n",
" 47.61 | \n",
" 47.61 | \n",
" 28.182 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 28.182 | \n",
"
\n",
" \n",
" | 2019-04-23 19:48:00+02:00 | \n",
" 46.96 | \n",
" 66.25 | \n",
" 66.25 | \n",
" 27.638 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.638 | \n",
"
\n",
" \n",
" | 2019-10-05 02:42:00+02:00 | \n",
" 29.28 | \n",
" 23.39 | \n",
" 23.39 | \n",
" 27.550 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.550 | \n",
"
\n",
" \n",
" | 2019-02-24 17:26:00+01:00 | \n",
" 45.75 | \n",
" 37.46 | \n",
" 37.46 | \n",
" 26.768 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 26.768 | \n",
"
\n",
" \n",
" | 2019-02-07 05:20:00+01:00 | \n",
" 39.04 | \n",
" 39.61 | \n",
" 39.61 | \n",
" 27.630 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.630 | \n",
"
\n",
" \n",
" | 2019-11-02 21:14:00+01:00 | \n",
" 27.85 | \n",
" 1.55 | \n",
" 1.55 | \n",
" 31.000 | \n",
" 1.28 | \n",
" 0.0 | \n",
" 29.720 | \n",
"
\n",
" \n",
" | 2019-11-23 23:52:00+01:00 | \n",
" 36.10 | \n",
" 26.98 | \n",
" 26.98 | \n",
" 22.750 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 22.750 | \n",
"
\n",
" \n",
" | 2019-02-22 05:21:00+01:00 | \n",
" 42.00 | \n",
" 24.06 | \n",
" 24.06 | \n",
" 26.576 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 26.576 | \n",
"
\n",
" \n",
" | 2019-05-22 22:05:00+02:00 | \n",
" 48.45 | \n",
" 34.39 | \n",
" 34.39 | \n",
" 27.615 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.615 | \n",
"
\n",
" \n",
" | 2019-04-07 16:02:00+02:00 | \n",
" 31.40 | \n",
" 32.14 | \n",
" 32.14 | \n",
" 27.604 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.604 | \n",
"
\n",
" \n",
" | 2019-06-12 15:43:00+02:00 | \n",
" 34.09 | \n",
" 29.78 | \n",
" 29.78 | \n",
" 22.979 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 22.979 | \n",
"
\n",
" \n",
" | 2019-07-03 15:51:00+02:00 | \n",
" 29.98 | \n",
" 26.19 | \n",
" 26.19 | \n",
" 22.758 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 22.758 | \n",
"
\n",
" \n",
" | 2019-09-02 12:09:00+02:00 | \n",
" 38.83 | \n",
" 52.12 | \n",
" 52.12 | \n",
" 20.662 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 20.662 | \n",
"
\n",
" \n",
" | 2019-07-07 00:25:00+02:00 | \n",
" 47.34 | \n",
" 24.14 | \n",
" 69.69 | \n",
" 27.650 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.650 | \n",
"
\n",
" \n",
" | 2019-05-11 23:43:00+02:00 | \n",
" 52.91 | \n",
" 36.10 | \n",
" 36.10 | \n",
" 20.837 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 20.837 | \n",
"
\n",
" \n",
" | 2019-09-29 20:44:00+02:00 | \n",
" 38.00 | \n",
" 22.01 | \n",
" 22.01 | \n",
" 27.824 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.824 | \n",
"
\n",
" \n",
" | 2019-06-22 14:33:00+02:00 | \n",
" 28.18 | \n",
" 27.46 | \n",
" 27.46 | \n",
" 27.428 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 27.428 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DAM POS NEG hp_output_MW to_storage_MW \\\n",
"2019-11-27 14:55:00+01:00 43.67 44.13 44.13 27.370 0.00 \n",
"2019-10-22 22:14:00+02:00 39.50 26.17 26.17 22.952 0.00 \n",
"2019-12-30 20:12:00+01:00 39.00 59.99 59.99 20.820 0.00 \n",
"2019-11-25 09:13:00+01:00 58.42 47.61 47.61 28.182 0.00 \n",
"2019-04-23 19:48:00+02:00 46.96 66.25 66.25 27.638 0.00 \n",
"2019-10-05 02:42:00+02:00 29.28 23.39 23.39 27.550 0.00 \n",
"2019-02-24 17:26:00+01:00 45.75 37.46 37.46 26.768 0.00 \n",
"2019-02-07 05:20:00+01:00 39.04 39.61 39.61 27.630 0.00 \n",
"2019-11-02 21:14:00+01:00 27.85 1.55 1.55 31.000 1.28 \n",
"2019-11-23 23:52:00+01:00 36.10 26.98 26.98 22.750 0.00 \n",
"2019-02-22 05:21:00+01:00 42.00 24.06 24.06 26.576 0.00 \n",
"2019-05-22 22:05:00+02:00 48.45 34.39 34.39 27.615 0.00 \n",
"2019-04-07 16:02:00+02:00 31.40 32.14 32.14 27.604 0.00 \n",
"2019-06-12 15:43:00+02:00 34.09 29.78 29.78 22.979 0.00 \n",
"2019-07-03 15:51:00+02:00 29.98 26.19 26.19 22.758 0.00 \n",
"2019-09-02 12:09:00+02:00 38.83 52.12 52.12 20.662 0.00 \n",
"2019-07-07 00:25:00+02:00 47.34 24.14 69.69 27.650 0.00 \n",
"2019-05-11 23:43:00+02:00 52.91 36.10 36.10 20.837 0.00 \n",
"2019-09-29 20:44:00+02:00 38.00 22.01 22.01 27.824 0.00 \n",
"2019-06-22 14:33:00+02:00 28.18 27.46 27.46 27.428 0.00 \n",
"\n",
" from_storage_MW Total demand \n",
"2019-11-27 14:55:00+01:00 0.0 27.370 \n",
"2019-10-22 22:14:00+02:00 0.0 22.952 \n",
"2019-12-30 20:12:00+01:00 25.0 20.820 \n",
"2019-11-25 09:13:00+01:00 0.0 28.182 \n",
"2019-04-23 19:48:00+02:00 0.0 27.638 \n",
"2019-10-05 02:42:00+02:00 0.0 27.550 \n",
"2019-02-24 17:26:00+01:00 0.0 26.768 \n",
"2019-02-07 05:20:00+01:00 0.0 27.630 \n",
"2019-11-02 21:14:00+01:00 0.0 29.720 \n",
"2019-11-23 23:52:00+01:00 0.0 22.750 \n",
"2019-02-22 05:21:00+01:00 0.0 26.576 \n",
"2019-05-22 22:05:00+02:00 0.0 27.615 \n",
"2019-04-07 16:02:00+02:00 0.0 27.604 \n",
"2019-06-12 15:43:00+02:00 0.0 22.979 \n",
"2019-07-03 15:51:00+02:00 0.0 22.758 \n",
"2019-09-02 12:09:00+02:00 0.0 20.662 \n",
"2019-07-07 00:25:00+02:00 0.0 27.650 \n",
"2019-05-11 23:43:00+02:00 0.0 20.837 \n",
"2019-09-29 20:44:00+02:00 0.0 27.824 \n",
"2019-06-22 14:33:00+02:00 0.0 27.428 "
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data[['DAM', 'POS', 'NEG', 'hp_output_MW', 'to_storage_MW', 'from_storage_MW','Total demand']].sample(20)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'ForeNeg', 'ForePos', 'Gas prices (€/MWh)',\n",
" 'CO2 prices (€/ton)', 'CO2 prices (€/MWh)', 'Tsource (VDG)',\n",
" 'Tsink (VDG)', 'MW (VDG)', 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)',\n",
" 'Total demand'],\n",
" dtype='object')"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.hpcase.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'ForeNeg', 'ForePos', 'Gas prices (€/MWh)',\n",
" 'CO2 prices (€/ton)', 'CO2 prices (€/MWh)', 'Tsource (VDG)',\n",
" 'Tsink (VDG)', 'MW (VDG)', 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)',\n",
" 'Total demand', 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg',\n",
" 'tsource_ndg', 'to_storage_ndg_MW', 'from_storage_ndg_MW',\n",
" 'to_storage_vdg_MW', 'from_storage_vdg_MW', 'to_storage_MW',\n",
" 'from_storage_MW', '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": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"# hp_selection = s.hpcase.data[['DAM', 'POS', 'NEG', 'hp_input_MW', 'hp_output_MW', 'cop', 'Total demand']]\n",
"hp_selection = s.hpcase.data[['DAM', 'POS', 'NEG', 'Total demand']]\n",
"storage_selection = s.storage_case_PCM.data[['hp_input_MW', 'hp_output_MW', 'cop', 'to_storage_MW', 'from_storage_MW']]\n",
"\n",
"selection = pd.concat([hp_selection, storage_selection], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" Total demand | \n",
" hp_input_MW | \n",
" hp_output_MW | \n",
" cop | \n",
" to_storage_MW | \n",
" from_storage_MW | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2019-06-22 10:59:00+02:00 | \n",
" 30.92 | \n",
" 18.78 | \n",
" 18.78 | \n",
" 26.678 | \n",
" -4.921 | \n",
" 26.678 | \n",
" 5.421 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-02-19 13:01:00+01:00 | \n",
" 38.60 | \n",
" 37.05 | \n",
" 37.05 | \n",
" 20.741 | \n",
" -3.525 | \n",
" 20.741 | \n",
" 5.885 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-07-11 20:28:00+02:00 | \n",
" 51.71 | \n",
" 113.02 | \n",
" 113.02 | \n",
" 10.942 | \n",
" -2.211 | \n",
" 10.942 | \n",
" 4.948 | \n",
" 0.000 | \n",
" 25.0 | \n",
"
\n",
" \n",
" | 2019-07-08 14:11:00+02:00 | \n",
" 33.48 | \n",
" 25.74 | \n",
" 25.74 | \n",
" 27.674 | \n",
" -5.222 | \n",
" 27.674 | \n",
" 5.299 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-07-09 03:49:00+02:00 | \n",
" 29.48 | \n",
" 25.90 | \n",
" 25.90 | \n",
" 26.839 | \n",
" -4.903 | \n",
" 26.839 | \n",
" 5.474 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-11-06 16:07:00+01:00 | \n",
" 60.71 | \n",
" 15.37 | \n",
" 33.32 | \n",
" 23.853 | \n",
" -4.645 | \n",
" 31.000 | \n",
" 6.674 | \n",
" 7.147 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-03-23 20:24:00+01:00 | \n",
" 42.25 | \n",
" 32.83 | \n",
" 32.83 | \n",
" 0.000 | \n",
" -0.000 | \n",
" 0.000 | \n",
" NaN | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-10-21 02:12:00+02:00 | \n",
" 26.28 | \n",
" 214.02 | \n",
" 214.02 | \n",
" 27.682 | \n",
" -5.130 | \n",
" 27.682 | \n",
" 5.396 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-07-23 05:19:00+02:00 | \n",
" 37.70 | \n",
" 28.40 | \n",
" 28.40 | \n",
" 27.773 | \n",
" -5.185 | \n",
" 27.773 | \n",
" 5.356 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-02-05 12:56:00+01:00 | \n",
" 58.93 | \n",
" 47.21 | \n",
" 47.21 | \n",
" 29.480 | \n",
" -5.361 | \n",
" 29.480 | \n",
" 5.499 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-01-22 03:35:00+01:00 | \n",
" 50.80 | \n",
" 45.48 | \n",
" 45.48 | \n",
" 26.860 | \n",
" -4.798 | \n",
" 26.860 | \n",
" 5.599 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-05-19 22:47:00+02:00 | \n",
" 43.33 | \n",
" 29.27 | \n",
" 29.27 | \n",
" 20.695 | \n",
" -3.562 | \n",
" 20.695 | \n",
" 5.811 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-08-19 15:09:00+02:00 | \n",
" 27.73 | \n",
" 24.39 | \n",
" 24.39 | \n",
" 22.910 | \n",
" -3.931 | \n",
" 22.910 | \n",
" 5.829 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-05-29 22:22:00+02:00 | \n",
" 40.77 | \n",
" 48.29 | \n",
" 48.29 | \n",
" 27.780 | \n",
" -5.185 | \n",
" 27.780 | \n",
" 5.358 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-05-27 18:39:00+02:00 | \n",
" 40.48 | \n",
" 30.10 | \n",
" 30.10 | \n",
" 22.760 | \n",
" -4.123 | \n",
" 22.760 | \n",
" 5.520 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-12-01 21:08:00+01:00 | \n",
" 42.07 | \n",
" 537.26 | \n",
" 537.26 | \n",
" 22.884 | \n",
" -4.112 | \n",
" 22.884 | \n",
" 5.565 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-04-13 07:08:00+02:00 | \n",
" 45.10 | \n",
" 38.05 | \n",
" 38.05 | \n",
" 23.014 | \n",
" -4.017 | \n",
" 23.014 | \n",
" 5.729 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-07-08 00:35:00+02:00 | \n",
" 34.93 | \n",
" -0.23 | \n",
" -0.23 | \n",
" 22.770 | \n",
" -4.855 | \n",
" 31.000 | \n",
" 6.386 | \n",
" 8.230 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-12-17 23:13:00+01:00 | \n",
" 30.10 | \n",
" 363.11 | \n",
" 363.11 | \n",
" 26.945 | \n",
" -4.729 | \n",
" 26.945 | \n",
" 5.698 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 2019-09-12 17:21:00+02:00 | \n",
" 39.90 | \n",
" 32.94 | \n",
" 32.94 | \n",
" 27.280 | \n",
" -5.071 | \n",
" 27.280 | \n",
" 5.380 | \n",
" 0.000 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DAM POS NEG Total demand hp_input_MW \\\n",
"2019-06-22 10:59:00+02:00 30.92 18.78 18.78 26.678 -4.921 \n",
"2019-02-19 13:01:00+01:00 38.60 37.05 37.05 20.741 -3.525 \n",
"2019-07-11 20:28:00+02:00 51.71 113.02 113.02 10.942 -2.211 \n",
"2019-07-08 14:11:00+02:00 33.48 25.74 25.74 27.674 -5.222 \n",
"2019-07-09 03:49:00+02:00 29.48 25.90 25.90 26.839 -4.903 \n",
"2019-11-06 16:07:00+01:00 60.71 15.37 33.32 23.853 -4.645 \n",
"2019-03-23 20:24:00+01:00 42.25 32.83 32.83 0.000 -0.000 \n",
"2019-10-21 02:12:00+02:00 26.28 214.02 214.02 27.682 -5.130 \n",
"2019-07-23 05:19:00+02:00 37.70 28.40 28.40 27.773 -5.185 \n",
"2019-02-05 12:56:00+01:00 58.93 47.21 47.21 29.480 -5.361 \n",
"2019-01-22 03:35:00+01:00 50.80 45.48 45.48 26.860 -4.798 \n",
"2019-05-19 22:47:00+02:00 43.33 29.27 29.27 20.695 -3.562 \n",
"2019-08-19 15:09:00+02:00 27.73 24.39 24.39 22.910 -3.931 \n",
"2019-05-29 22:22:00+02:00 40.77 48.29 48.29 27.780 -5.185 \n",
"2019-05-27 18:39:00+02:00 40.48 30.10 30.10 22.760 -4.123 \n",
"2019-12-01 21:08:00+01:00 42.07 537.26 537.26 22.884 -4.112 \n",
"2019-04-13 07:08:00+02:00 45.10 38.05 38.05 23.014 -4.017 \n",
"2019-07-08 00:35:00+02:00 34.93 -0.23 -0.23 22.770 -4.855 \n",
"2019-12-17 23:13:00+01:00 30.10 363.11 363.11 26.945 -4.729 \n",
"2019-09-12 17:21:00+02:00 39.90 32.94 32.94 27.280 -5.071 \n",
"\n",
" hp_output_MW cop to_storage_MW from_storage_MW \n",
"2019-06-22 10:59:00+02:00 26.678 5.421 0.000 0.0 \n",
"2019-02-19 13:01:00+01:00 20.741 5.885 0.000 0.0 \n",
"2019-07-11 20:28:00+02:00 10.942 4.948 0.000 25.0 \n",
"2019-07-08 14:11:00+02:00 27.674 5.299 0.000 0.0 \n",
"2019-07-09 03:49:00+02:00 26.839 5.474 0.000 0.0 \n",
"2019-11-06 16:07:00+01:00 31.000 6.674 7.147 0.0 \n",
"2019-03-23 20:24:00+01:00 0.000 NaN 0.000 0.0 \n",
"2019-10-21 02:12:00+02:00 27.682 5.396 0.000 0.0 \n",
"2019-07-23 05:19:00+02:00 27.773 5.356 0.000 0.0 \n",
"2019-02-05 12:56:00+01:00 29.480 5.499 0.000 0.0 \n",
"2019-01-22 03:35:00+01:00 26.860 5.599 0.000 0.0 \n",
"2019-05-19 22:47:00+02:00 20.695 5.811 0.000 0.0 \n",
"2019-08-19 15:09:00+02:00 22.910 5.829 0.000 0.0 \n",
"2019-05-29 22:22:00+02:00 27.780 5.358 0.000 0.0 \n",
"2019-05-27 18:39:00+02:00 22.760 5.520 0.000 0.0 \n",
"2019-12-01 21:08:00+01:00 22.884 5.565 0.000 0.0 \n",
"2019-04-13 07:08:00+02:00 23.014 5.729 0.000 0.0 \n",
"2019-07-08 00:35:00+02:00 31.000 6.386 8.230 0.0 \n",
"2019-12-17 23:13:00+01:00 26.945 5.698 0.000 0.0 \n",
"2019-09-12 17:21:00+02:00 27.280 5.380 0.000 0.0 "
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"selection.sample(20)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DAM 41.195801\n",
"POS 40.391060\n",
"NEG 42.554082\n",
"Total demand 23.460537\n",
"hp_input_MW -4.359432\n",
"hp_output_MW 24.354581\n",
"cop 5.573655\n",
"to_storage_MW 0.894045\n",
"from_storage_MW 0.888908\n",
"dtype: float64"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"selection.mean()"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"########################\n",
"\n",
"# This is where we left\n",
"\n",
"########################"
]
},
{
"cell_type": "code",
"execution_count": 67,
"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": 68,
"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": 70,
"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": 71,
"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": 73,
"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_PCM = hponly_with_storage(s.storage_case_PCM)\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_PCM]: # [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": 74,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5.451794715081109"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.hpcase.data['hp_output_MW'].sum() /s.hpcase.data['hp_input_MW'].abs().sum() "
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5.586642522442619"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data['hp_output_MW'].sum() /s.storage_case_PCM.data['hp_input_MW'].abs().sum() "
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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" | \n",
" DAM | \n",
" POS | \n",
" NEG | \n",
" ForeNeg | \n",
" ForePos | \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",
" 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",
" NaN | \n",
" NaN | \n",
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" NaN | \n",
" NaN | \n",
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" 68.92 | \n",
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" NaN | \n",
" NaN | \n",
" 20.83 | \n",
" 34.24 | \n",
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" 68.92 | \n",
" 34.85 | \n",
" 58.01 | \n",
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"text/plain": [
" DAM POS NEG ForeNeg ForePos \\\n",
"2019-01-01 00:00:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:01:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:02:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:03:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"2019-01-01 00:04:00+01:00 68.92 34.85 58.01 NaN NaN \n",
"\n",
" Gas prices (€/MWh) CO2 prices (€/ton) \\\n",
"2019-01-01 00:00:00+01:00 20.83 34.24 \n",
"2019-01-01 00:01:00+01:00 20.83 34.24 \n",
"2019-01-01 00:02:00+01:00 20.83 34.24 \n",
"2019-01-01 00:03:00+01:00 20.83 34.24 \n",
"2019-01-01 00:04:00+01:00 20.83 34.24 \n",
"\n",
" CO2 prices (€/MWh) Tsource (VDG) Tsink (VDG) \\\n",
"2019-01-01 00:00:00+01:00 6.6 64.990 143.360 \n",
"2019-01-01 00:01:00+01:00 6.6 64.985 143.089 \n",
"2019-01-01 00:02:00+01:00 6.6 64.980 142.818 \n",
"2019-01-01 00:03:00+01:00 6.6 64.975 142.547 \n",
"2019-01-01 00:04:00+01:00 6.6 64.970 142.276 \n",
"\n",
" MW (VDG) Tsource (NDG) Tsink (NDG) MW (NDG) \\\n",
"2019-01-01 00:00:00+01:00 0.0 20.510 147.620 0.0 \n",
"2019-01-01 00:01:00+01:00 0.0 20.387 147.642 0.0 \n",
"2019-01-01 00:02:00+01:00 0.0 20.264 147.664 0.0 \n",
"2019-01-01 00:03:00+01:00 0.0 20.141 147.686 0.0 \n",
"2019-01-01 00:04:00+01:00 0.0 20.018 147.708 0.0 \n",
"\n",
" Total demand hp_output_MW hp_input_MW cop \\\n",
"2019-01-01 00:00:00+01:00 0.0 0.0 0.0 NaN \n",
"2019-01-01 00:01:00+01:00 0.0 0.0 0.0 NaN \n",
"2019-01-01 00:02:00+01:00 0.0 0.0 0.0 NaN \n",
"2019-01-01 00:03:00+01:00 0.0 0.0 0.0 NaN \n",
"2019-01-01 00:04:00+01:00 0.0 0.0 0.0 NaN \n",
"\n",
" hp_output_MWh hp_input_MWh \n",
"2019-01-01 00:00:00+01:00 0.0 0.0 \n",
"2019-01-01 00:01:00+01:00 0.0 0.0 \n",
"2019-01-01 00:02:00+01:00 0.0 0.0 \n",
"2019-01-01 00:03:00+01:00 0.0 0.0 \n",
"2019-01-01 00:04:00+01:00 0.0 0.0 "
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.hpcase.data.head()"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [],
"source": [
"vis_data = s.storage_case_PCM.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_PCM.data['cop']], axis=1)\n",
"vis_data = pd.concat([vis_data, cops], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"# vis_data.loc['2023-01-01', :].iplot(subplots=True, shape=(5,1), dimensions=(1000, 800))"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(7832.109, 7792.947)"
]
},
"execution_count": 79,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"total_to_storage = s.storage_case_PCM.data['to_storage_MWh'].sum()\n",
"total_from_storage = s.storage_case_PCM.data['from_storage_MWh'].sum()\n",
"total_to_storage, total_from_storage"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'ForeNeg', 'ForePos', 'Gas prices (€/MWh)',\n",
" 'CO2 prices (€/ton)', 'CO2 prices (€/MWh)', 'Tsource (VDG)',\n",
" 'Tsink (VDG)', 'MW (VDG)', 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)',\n",
" 'Total demand', 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg',\n",
" 'tsource_ndg', 'to_storage_ndg_MW', 'from_storage_ndg_MW',\n",
" 'to_storage_vdg_MW', 'from_storage_vdg_MW', 'to_storage_MW',\n",
" 'from_storage_MW', '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": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hp_output = s.storage_case_PCM.data['hp_output_MW'].round(2)\n",
"demand_and_to_storage = (s.storage_case_PCM.data['Total demand'] + s.storage_case_PCM.data['to_storage_MW']).round(2)\n",
"hp_output.equals(demand_and_to_storage)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\AppData\\Local\\Temp\\ipykernel_5264\\4223154146.py:1: FutureWarning:\n",
"\n",
"'H' is deprecated and will be removed in a future version, please use 'h' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\AppData\\Local\\anaconda3\\Lib\\site-packages\\cufflinks\\plotlytools.py:117: FutureWarning:\n",
"\n",
"DatetimeIndex.format is deprecated and will be removed in a future version. Convert using index.astype(str) or index.map(formatter) instead.\n",
"\n"
]
},
{
"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)",
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"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"
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},
"source": [
"## Financials"
]
},
{
"cell_type": "code",
"execution_count": 84,
"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": 85,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['DAM', 'POS', 'NEG', 'ForeNeg', 'ForePos', 'Gas prices (€/MWh)',\n",
" 'CO2 prices (€/ton)', 'CO2 prices (€/MWh)', 'Tsource (VDG)',\n",
" 'Tsink (VDG)', 'MW (VDG)', 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)',\n",
" 'Total demand', 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg',\n",
" 'tsource_ndg', 'to_storage_ndg_MW', 'from_storage_ndg_MW',\n",
" 'to_storage_vdg_MW', 'from_storage_vdg_MW', 'to_storage_MW',\n",
" 'from_storage_MW', '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": 85,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s.storage_case_PCM.data.columns"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\casestudy.py:369: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\casestudy.py:372: FutureWarning:\n",
"\n",
"'M' is deprecated and will be removed in a future version, please use 'ME' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\casestudy.py:369: FutureWarning:\n",
"\n",
"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\casestudy.py:372: FutureWarning:\n",
"\n",
"'M' is deprecated and will be removed in a future version, please use 'ME' instead.\n",
"\n"
]
}
],
"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_PCM.data['nomination_MWh'] = s.hpcase.data['hp_input_MWh']\n",
" s.storage_case_PCM.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_PCM]: #, 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": 87,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:540: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:541: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:542: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:540: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:541: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n",
"C:\\Users\\z004yn8c\\OneDrive - Siemens AG\\Documents\\GitHub\\Mooi-Kickstart\\pyrecoy\\pyrecoy\\pyrecoy2\\financial.py:542: FutureWarning:\n",
"\n",
"Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
"\n"
]
}
],
"source": [
"def calculate_financials(c, s):\n",
" for case in s.cases:\n",
" case.calculate_ebitda(c.project_duration)\n",
"\n",
" for case in [s.hpcase, s.storage_case_PCM]: #, 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": 89,
"metadata": {
"tags": [
"exclude"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\z004yn8c\\AppData\\Local\\Temp\\ipykernel_5264\\1396106630.py:1: FutureWarning:\n",
"\n",
"'H' is deprecated and will be removed in a future version, please use 'h' instead.\n",
"\n",
"C:\\Users\\z004yn8c\\AppData\\Local\\anaconda3\\Lib\\site-packages\\cufflinks\\plotlytools.py:117: FutureWarning:\n",
"\n",
"DatetimeIndex.format is deprecated and will be removed in a future version. Convert using index.astype(str) or index.map(formatter) instead.\n",
"\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"line": {
"color": "rgba(70, 165, 121, 1.0)",
"dash": "solid",
"shape": "linear",
"width": 1.3
},
"mode": "lines",
"name": "Total demand",
"text": "",
"type": "scatter",
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"fig_demands_over_time = s.demand['Total demand'].resample('H').mean().iplot(\n",
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" title='Smurfit Kappa: Source and Sink temperatures',\n",
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"Index(['DAM', 'POS', 'NEG', 'ForeNeg', 'ForePos', 'Gas prices (€/MWh)',\n",
" 'CO2 prices (€/ton)', 'CO2 prices (€/MWh)', 'Tsource (VDG)',\n",
" 'Tsink (VDG)', 'MW (VDG)', 'Tsource (NDG)', 'Tsink (NDG)', 'MW (NDG)',\n",
" 'Total demand', 'hp_output_MW', 'hp_input_MW', 'cop', 'tsource_vdg',\n",
" 'tsource_ndg', 'to_storage_ndg_MW', 'from_storage_ndg_MW',\n",
" 'to_storage_vdg_MW', 'from_storage_vdg_MW', 'to_storage_MW',\n",
" 'from_storage_MW', '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",
" 'nomination_MWh', 'Prod. vol.', 'Cons. vol.', 'Imb. vol.',\n",
" 'Day-Ahead Result', 'POS Result', 'NEG Result', 'Imbalance Result',\n",
" 'Combined Result'],\n",
" dtype='object')"
]
},
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"metadata": {},
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"C:\\Users\\z004yn8c\\AppData\\Local\\Temp\\ipykernel_5264\\3140037213.py:3: FutureWarning:\n",
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"'T' is deprecated and will be removed in a future version, please use 'min' instead.\n",
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