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fdebrain/heatpump_energy_disaggregation.ipynb

Created September 8, 2021 14:44
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heatpump_energy_disaggregation.ipynb
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},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/fdebrain/116b47da937ae9ce97239576d9f59639/heatpump_energy_disaggregation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3d1f9e2d-8424-4613-b387-a32b2550ea9a"
},
"source": [
"# Disaggregating heat pump energy from household overall energy consumption\n",
"\n",
"<center><img src=\"https://www.researchgate.net/profile/Melissa-Climo-2/publication/316919670/figure/fig2/AS:873621782294528@1585299072468/Geothermal-heat-pump-schematic-in-heating-mode.png\" width=500 height=300/></center>\n",
"\n",
"**Tasks:** \n",
"- Identify when the heat pumps are running in the homes and for how long they run per day\n",
"- Estimate the energy consumption used by the heat pump. <br>\n",
"\n",
"**Available data:** Active and reactive power sampled every minute for each of the 3 phases of 3 different households. <br>"
],
"id": "3d1f9e2d-8424-4613-b387-a32b2550ea9a"
},
{
"cell_type": "markdown",
"metadata": {
"id": "14ecd773-562f-44d7-93a5-e6676be7658a"
},
"source": [
"<img align='right' src=\"https://circuitglobe.com/wp-content/uploads/2018/03/active-power.jpg\" width=200 height=100 /> \n",
"\n",
"**Active power P:** Used to create heat (resistors) or torque (motors). <br>\n",
"**Reactive power Q:** \"Useless power\" stored in the circuits in the form of magnetic fields in passive components (transformer). It can be compensated using capacitors. It is positive in case of inductive reactive power consumption and negative in case of capacitive reactive power consumption.\n",
"\n",
"<br>\n",
"\n",
"<img align='right' src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0360544219314902-egi109JBL85S0T.jpg\" width=300 height=300 />\n",
"\n",
"**Typical appliances in a household:** \n",
"- Lights (low power, mostly active)\n",
"- Refregirator (low power, every 2h)\n",
"- Water heater (high power, every hour to few hours)\n",
"- Washing machine & dish washer (high power, mostly active, once to a few times a week)\n",
"- Oven (high power, mostly active)\n",
"- Cooktops (high power, can be inductive)\n",
"\n",
"<br>\n",
"\n",
"**Assumptions:** \n",
"- When the heat pump is running, we consider other appliances comsumptions as negligible.\n",
"- The heat pump is used mainly for warming purpose.\n",
"\n",
"<br>\n",
"\n",
"**Keywords:** Electrical device identification, energy disaggregation, time series segmentation, load identification <br>\n",
"\n",
"<br>\n",
"\n",
"**References:**\n",
"- https://iris.polito.it/retrieve/handle/11583/2706278/196979/main.pdf\n",
"- https://www.researchgate.net/publication/310829132_Electrical_Devices_Identification_Through_Power_Consumption_Using_Machine_Learning_Techniques\n",
"- https://github.com/buchananwp/EnergyMeter\n",
"- http://sgemfinalreport.fi/files/SGEM2FP-D-4-2-2-VTT.pdf\n",
"- https://project-archive.inf.ed.ac.uk/msc/20161843/msc_proj.pdf\n",
"- https://www.researchgate.net/publication/350719930_Unsupervised_Disaggregation_of_Water_Heater_Load_from_Smart_Meter_Data_Processing"
],
"id": "14ecd773-562f-44d7-93a5-e6676be7658a"
},
{
"cell_type": "code",
"metadata": {
"id": "9ee2b0e7-e8ba-4b65-93c6-532ccd9f0b96"
},
"source": [
"#%matplotlib widget\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"from pathlib import Path\n",
"from datetime import datetime, timedelta\n",
"from ipywidgets import interact"
],
"id": "9ee2b0e7-e8ba-4b65-93c6-532ccd9f0b96",
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "990d9cec-b20f-4725-9b3e-1ae5824e1b4c"
},
"source": [
"## 1. Data loading"
],
"id": "990d9cec-b20f-4725-9b3e-1ae5824e1b4c"
},
{
"cell_type": "code",
"metadata": {
"id": "31aed82f-0a4a-4533-934d-1d13864a5c10"
},
"source": [
"def load_data(csv_path):\n",
" df = pd.read_csv(csv_path, parse_dates=['Datetime'])\n",
" \n",
" # Create columns with aggregated active and reactive powers w.r.t phase\n",
" df[\"all-P\"] = df[\"L1-P\"] + df[\"L2-P\"] + df[\"L3-P\"]\n",
" df[\"all-Q\"] = df[\"L1-Q\"] + df[\"L2-Q\"] + df[\"L3-Q\"]\n",
"\n",
" # Create column with apparent power\n",
" df[\"S\"] = np.sqrt(df[\"all-P\"]**2 + df[\"all-Q\"]**2)\n",
" return df"
],
"id": "31aed82f-0a4a-4533-934d-1d13864a5c10",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 223
},
"id": "80e426d5-4ac3-4884-8815-431a64d2a0bd",
"outputId": "5c81b47e-d515-48c3-eefe-f2f242776d1a"
},
"source": [
"csv_path = Path(\"5b30b0b75c0f2c33cdf268a6_minute.csv\")\n",
"df = load_data(csv_path)\n",
"days_list = pd.date_range(df.loc[0, 'Datetime'], df.loc[len(df)-1, 'Datetime'], freq='1D')\n",
"print(f\"Recording made over {len(days_list)} days\")\n",
"df.head()"
],
"id": "80e426d5-4ac3-4884-8815-431a64d2a0bd",
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Recording made over 366 days\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Datetime</th>\n",
" <th>L1-P</th>\n",
" <th>L2-P</th>\n",
" <th>L3-P</th>\n",
" <th>L1-Q</th>\n",
" <th>L2-Q</th>\n",
" <th>L3-Q</th>\n",
" <th>all-P</th>\n",
" <th>all-Q</th>\n",
" <th>S</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2020-08-01 00:00:00</td>\n",
" <td>112.068</td>\n",
" <td>886.369</td>\n",
" <td>102.671</td>\n",
" <td>-13.814</td>\n",
" <td>61.644</td>\n",
" <td>36.637</td>\n",
" <td>1101.108</td>\n",
" <td>84.467</td>\n",
" <td>1104.343018</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2020-08-01 00:01:00</td>\n",
" <td>111.701</td>\n",
" <td>815.336</td>\n",
" <td>101.565</td>\n",
" <td>-14.445</td>\n",
" <td>58.726</td>\n",
" <td>35.257</td>\n",
" <td>1028.602</td>\n",
" <td>79.538</td>\n",
" <td>1031.672607</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2020-08-01 00:02:00</td>\n",
" <td>85.811</td>\n",
" <td>833.743</td>\n",
" <td>101.289</td>\n",
" <td>-28.179</td>\n",
" <td>59.482</td>\n",
" <td>35.184</td>\n",
" <td>1020.843</td>\n",
" <td>66.487</td>\n",
" <td>1023.005842</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2020-08-01 00:03:00</td>\n",
" <td>58.697</td>\n",
" <td>886.368</td>\n",
" <td>101.184</td>\n",
" <td>-42.208</td>\n",
" <td>58.579</td>\n",
" <td>35.299</td>\n",
" <td>1046.249</td>\n",
" <td>51.670</td>\n",
" <td>1047.524109</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2020-08-01 00:04:00</td>\n",
" <td>58.744</td>\n",
" <td>880.890</td>\n",
" <td>101.548</td>\n",
" <td>-42.184</td>\n",
" <td>56.806</td>\n",
" <td>35.615</td>\n",
" <td>1041.182</td>\n",
" <td>50.237</td>\n",
" <td>1042.393262</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Datetime L1-P L2-P ... all-P all-Q S\n",
"0 2020-08-01 00:00:00 112.068 886.369 ... 1101.108 84.467 1104.343018\n",
"1 2020-08-01 00:01:00 111.701 815.336 ... 1028.602 79.538 1031.672607\n",
"2 2020-08-01 00:02:00 85.811 833.743 ... 1020.843 66.487 1023.005842\n",
"3 2020-08-01 00:03:00 58.697 886.368 ... 1046.249 51.670 1047.524109\n",
"4 2020-08-01 00:04:00 58.744 880.890 ... 1041.182 50.237 1042.393262\n",
"\n",
"[5 rows x 10 columns]"
]
},
"metadata": {},
"execution_count": 41
}
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [],
"id": "c5f3b0e5-0fa2-49f3-8788-088eb6a6f50b"
},
"source": [
"## 2. Data visualization\n",
"### 2.1. Active and reactive powers over time"
],
"id": "c5f3b0e5-0fa2-49f3-8788-088eb6a6f50b"
},
{
"cell_type": "code",
"metadata": {
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"base_uri": "https://localhost:8080/",
"height": 507,
"referenced_widgets": [
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"id": "7cd796b8-b703-4f79-9ef4-86dae5a4ac34",
"outputId": "697b22d6-1476-49a7-8bd7-fce17a6c2116"
},
"source": [
"@interact(phase_id=['L1', 'L2', 'L3', 'all'], window_days=(1, len(days_list)))\n",
"def plot_powers(phase_id='all', start_date=days_list, window_days=2):\n",
" start = datetime(start_date.year, start_date.month, start_date.day, start_date.hour, start_date.minute)\n",
" end = start + timedelta(window_days)\n",
" df_interval = df[(df['Datetime'] >= start) & (df['Datetime'] <= end)]\n",
" \n",
" ax = df_interval.plot(x='Datetime', y=f'{phase_id}-P', figsize=(12, 6), linewidth=1)\n",
" df_interval.plot(x='Datetime', y=f'{phase_id}-Q', ax=ax, linewidth=1)\n",
" \n",
" ax.set_ylabel('Power [W | Var]')\n",
" ax.grid()\n",
" ax.legend(loc='upper right');"
],
"id": "7cd796b8-b703-4f79-9ef4-86dae5a4ac34",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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"interactive(children=(Dropdown(description='phase_id', index=3, options=('L1', 'L2', 'L3', 'all'), value='all'…"
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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ae0a38eb-e8f3-4917-9ea9-5c42c7153ca2"
},
"source": [
"**Outtakes**:\n",
"- Active power P usually increases around breakfast, lunch and dinner time.\n",
"- Active power P peaks happens every 2h for a short period of time (~20mn). It might be \n",
"- Reactive power Q peaks also happens every 2h (often just after P peaks, but no always)\n",
"\n",
"### 2.2. Distribution of powers values"
],
"id": "ae0a38eb-e8f3-4917-9ea9-5c42c7153ca2"
},
{
"cell_type": "code",
"metadata": {
"tags": [],
"colab": {
"base_uri": "https://localhost:8080/",
"height": 392,
"referenced_widgets": [
"8b63d9ffb4474e9bb2e9fdc451f0993e",
"034cb6163ea646f9b3ea3a908251b6ff",
"e89a6a9148c144128d7e88e8f9c9d491",
"93f49bf293774c2984b035dd21e8b42e",
"aa64c67def2e4e78b849175556583069",
"c3220d46b36749848ef57946fe4f1fc6",
"4390a57593054b71800d37d614e52aaa",
"f7eaa195f3cb4d00885623626ed753bf",
"83b9fea64b6d4133acfe99c5ee142282",
"c6aa5fd159f14b41a374226156c7f28a",
"4548c549d16e41048d285947aae07888",
"d0b50a798e1e4fd9b5421703bd2d99e4",
"897ed719f16b421782076e632241221e"
]
},
"id": "143aac57-32fe-43b2-9faf-de68ff5c532f",
"outputId": "8e72f9f6-ecd9-4204-d0b7-727c30a488e9"
},
"source": [
"@interact(phase_id=['L1', 'L2', 'L3', 'all'], window_days=(1, len(days_list)))\n",
"def plot_histograms(phase_id='all', start_date=days_list, window_days=365):\n",
" start = datetime(start_date.year, start_date.month, start_date.day, start_date.hour, start_date.minute)\n",
" end = start + timedelta(window_days)\n",
" df_interval = df[(df['Datetime'] > start) & (df['Datetime'] < end)]\n",
" \n",
" n_bins = int(np.sqrt(len(df_interval)))\n",
" ax = df_interval.plot(x='Datetime', y=f'{phase_id}-P', kind='hist', bins=n_bins, figsize=(10, 4))\n",
" df_interval.plot(x='Datetime', y=f'{phase_id}-Q', kind='hist', bins=n_bins, ax=ax)\n",
" \n",
" ax.set_xlim([-300, 6000])\n",
" ax.set_xlabel('Power [W | Var]')\n",
" ax.grid()\n",
" ax.legend(loc='upper right')\n",
" ax.set_title(f\"Histogram of active and reactive powers for phase {phase_id} (over {window_days} days)\")"
],
"id": "143aac57-32fe-43b2-9faf-de68ff5c532f",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "8b63d9ffb4474e9bb2e9fdc451f0993e",
"version_minor": 0,
"version_major": 2
},
"text/plain": [
"interactive(children=(Dropdown(description='phase_id', index=3, options=('L1', 'L2', 'L3', 'all'), value='all'…"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "29b85ea9-62f6-4d16-9371-6ada6823970d"
},
"source": [
"**Outtakes**:\n",
"- The distribution of active power appears to be multi-modal\n",
"- The distribution of reactive power appears to be bi-modal (either 0 or ~1000 VARS)\n",
"- The higher mode in the reactive power distribution is probably stemming from the heat pump."
],
"id": "29b85ea9-62f6-4d16-9371-6ada6823970d"
},
{
"cell_type": "markdown",
"metadata": {
"id": "c30ba5a3-96b1-405a-95fc-8edbd534c3ea"
},
"source": [
"### 2.3. Visualizing data points in the active-reactive 2D plan"
],
"id": "c30ba5a3-96b1-405a-95fc-8edbd534c3ea"
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 500,
"referenced_widgets": [
"e93182125fbc4049b237cf269b2f3c2c",
"1190649f5a7c4a2a8135dafc012afc61",
"7468fd5c6cde4e87b3d3ed91bee957b7",
"885d1fcd5a0b417a8bd15a405cb0b46d",
"a5a6381529be4041ac9e9e136f0b5dd8",
"bfa61305850143da901469137db79052",
"7216bf3a84f14c2082c755adea94906f",
"836871b6667b4062a79e2cd7773c8650",
"7b0d79d3fb4f4c0e99bb14f651379570",
"2b39e670fa19493db500d8a1815b7234",
"c4cce4f29e534626bf3ea3bf4da5b195",
"350949508d65418db1347d9c8cdcb989",
"92e6f305656248e9bf87009a3f00fc11"
]
},
"id": "f2ec0527-79f5-4372-b23d-ed719af65b6a",
"outputId": "74f3e988-4e44-4777-a6dd-c9dc75086e0b"
},
"source": [
"# Active-Reactive powers 2D plan\n",
"@interact(phase_id=['L1', 'L2', 'L3', 'all'], window_days=(1, len(days_list)))\n",
"def plot_scatter(phase_id='all', start_date=days_list, window_days=3):\n",
" start = datetime(start_date.year, start_date.month, start_date.day, start_date.hour, start_date.minute)\n",
" end = start + timedelta(window_days)\n",
" df_interval = df[(df['Datetime'] > start) & (df['Datetime'] < end)]\n",
" \n",
" ax = df_interval.plot.scatter(x=f'{phase_id}-P', y=f'{phase_id}-Q', s=1, figsize=(12, 6))\n",
" \n",
" ax.set_xlabel('Active power [Watts]')\n",
" ax.set_ylabel('Reactive power [Vars]')\n",
" ax.grid()\n",
" ax.set_title(f\"Scatter plot in the active-reactive powers 2D plan for phase {phase_id} (over {window_days} days)\")"
],
"id": "f2ec0527-79f5-4372-b23d-ed719af65b6a",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e93182125fbc4049b237cf269b2f3c2c",
"version_minor": 0,
"version_major": 2
},
"text/plain": [
"interactive(children=(Dropdown(description='phase_id', index=3, options=('L1', 'L2', 'L3', 'all'), value='all'…"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "03efa294-d36d-4791-bec7-cffbaf6960fd"
},
"source": [
"**Outtakes**:\n",
"- On a daily scale: We distinguish 2 strong clusters and 2 weaker clusters.\n",
"- On a monthly to yearly scale: We distinguish 2 clusters along 2 horizontal bands. "
],
"id": "03efa294-d36d-4791-bec7-cffbaf6960fd"
},
{
"cell_type": "markdown",
"metadata": {
"tags": [],
"id": "4148b064-3082-4bfc-8ef1-99212a4ad348"
},
"source": [
"## 4. Modeling"
],
"id": "4148b064-3082-4bfc-8ef1-99212a4ad348"
},
{
"cell_type": "code",
"metadata": {
"id": "955fa968-ffe1-4069-a523-d6606307cf57"
},
"source": [
"from sklearn.cluster import KMeans\n",
"from collections import Counter\n",
"from sklearn.preprocessing import StandardScaler"
],
"id": "955fa968-ffe1-4069-a523-d6606307cf57",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "4be64d37-8c22-49ed-a117-363a40f6d1f0",
"outputId": "31ff1c42-e3ef-4aa7-af5f-db9d003fcb71"
},
"source": [
"# Check for missing data (about ~112h, only 1% of total data points)\n",
"df.isna().sum()"
],
"id": "4be64d37-8c22-49ed-a117-363a40f6d1f0",
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Datetime 0\n",
"L1-P 6707\n",
"L2-P 6707\n",
"L3-P 6707\n",
"L1-Q 6707\n",
"L2-Q 6707\n",
"L3-Q 6707\n",
"all-P 6707\n",
"all-Q 6707\n",
"S 6707\n",
"dtype: int64"
]
},
"metadata": {},
"execution_count": 28
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "e315977b-c735-4c56-a681-f27dbfd54f7a"
},
"source": [
"# Define input variables\n",
"X = df[['all-P', 'all-Q']]\n",
"\n",
"# Interpolate missing values linearly \n",
"X = X.interpolate()\n",
"\n",
"# Scale P and Q features\n",
"sc = StandardScaler()\n",
"X = sc.fit_transform(X)\n",
"\n",
"# Train clustering model\n",
"model = KMeans(n_clusters=4, random_state=0)\n",
"\n",
"# Predictions\n",
"y_pred = model.fit_predict(X)\n",
"y_pred += 1\n",
"df['cluster'] = y_pred "
],
"id": "e315977b-c735-4c56-a681-f27dbfd54f7a",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 500,
"referenced_widgets": [
"76ee2bcc2e664bb18374e38281746a13",
"7ccc8dfaa04d4521a9d8a2766566f487",
"12bf0c61bac445eba14ed04471e97d99",
"1585b0c3acf24c899b22d7572ae2acd3",
"ff00b24b01f84531b8ee1cad1345b2c6",
"aaaaef6fbd4d4d2597ba52d0ef7831f6",
"54acf9bce1714675a53639ee0d7a9317",
"82c1553a4d564395ac60e970e6387f82",
"f9575bcc55b44635865e132268dbc622",
"dcb85ce9ffbc47ab84ae36aaadbd718a",
"3d7d534925e34b11a9b5553cef2b736a",
"35d32faccd0645b69cc5bdd2d8c5a72a",
"c395440a3724479f9b7d93aa6877d367"
]
},
"id": "59dc72db-47b2-4290-9bdc-98333eef767d",
"outputId": "42cefd56-405f-4b38-964c-5879eee3ccb2"
},
"source": [
"@interact(phase_id=['L1', 'L2', 'L3', 'all'], window_days=(1, len(days_list)))\n",
"def plot_scatter(phase_id='all', start_date=days_list, window_days=3):\n",
" start = datetime(start_date.year, start_date.month, start_date.day, start_date.hour, start_date.minute)\n",
" end = start + timedelta(window_days)\n",
" df_interval = df[(df['Datetime'] > start) & (df['Datetime'] < end)]\n",
" \n",
" ax = None\n",
" for cluster in set(df_interval['cluster']):\n",
" ax = df_interval[df_interval['cluster']==cluster].plot.scatter(x=f'{phase_id}-P', \n",
" y=f'{phase_id}-Q', \n",
" c=f'C{cluster}', \n",
" s=1, \n",
" figsize=(12, 6), \n",
" ax=ax,\n",
" label=cluster)\n",
" \n",
" ax.set_xlabel('Active power [Watts]')\n",
" ax.set_ylabel('Reactive power [Vars]')\n",
" ax.grid()\n",
" ax.legend(loc='upper right')\n",
" ax.set_title(f\"Active-reactive power in 2D space\")\n",
" ax.legend(markerscale=5)"
],
"id": "59dc72db-47b2-4290-9bdc-98333eef767d",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "76ee2bcc2e664bb18374e38281746a13",
"version_minor": 0,
"version_major": 2
},
"text/plain": [
"interactive(children=(Dropdown(description='phase_id', index=3, options=('L1', 'L2', 'L3', 'all'), value='all'…"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 512,
"referenced_widgets": [
"5a4f53610c8b4b5095e0a0922894f0c4",
"7be45bfdf4f54003a9ab2ec688138dd2",
"41121a5ca6974dd693ab23053e49f156",
"60e985122789496c9b1e14e0cd4a16e1",
"839554d5ff824b70995310713fcb365e",
"ef6df0d380ee4374bdd4eae278fe6df1",
"8aae85a925a84b7daf1832532d6cb895",
"11cf83da5d3149c3833032b9666958b3",
"8ee9b1b25efe4dc6bb06ce6a4b3cbd51",
"432ad94a7585479da6b4807146354307",
"edf0fdc5fda24a2fa3c07d74f582b3b9",
"12a07abbe9f94ccb98b73f90536143f2",
"a4a241be56e14d4b831a1d71a183c1e4"
]
},
"id": "7fcbd2e6-7b78-47c5-be58-7400b1073833",
"outputId": "72c3263d-3265-4868-a002-aa2c7fbbfd89"
},
"source": [
"# Filtering data points where heatpump was ON \n",
"cluster_id = [2, 3]\n",
"\n",
"@interact(phase_id=['L1', 'L2', 'L3', 'all'], window_days=(1, len(days_list)))\n",
"def plot_powers(phase_id='all', start_date=days_list, window_days=1):\n",
" start = datetime(start_date.year, start_date.month, start_date.day, start_date.hour, start_date.minute)\n",
" end = start + timedelta(window_days)\n",
"\n",
" # Initial plots\n",
" df_interval = df[(df['Datetime'] >= start) & (df['Datetime'] <= end)].copy()\n",
" df_interval_filtered = df_interval.copy(deep=True)\n",
" \n",
" ax = df_interval.plot(x='Datetime', y=f'{phase_id}-P', style='--', c='C0', figsize=(12, 6), alpha=0.5, linewidth=1, label=\"P\")\n",
" df_interval.plot(x='Datetime', y=f'{phase_id}-Q', ax=ax, style='--', c='C1', alpha=0.5, linewidth=1, label=\"Q\")\n",
" \n",
" # Filtered timestamps\n",
" filt = df_interval_filtered['cluster'].isin(cluster_id)\n",
" df_interval_filtered.loc[~filt, [f'{phase_id}-P', f'{phase_id}-Q']] = [0, 0]\n",
" df_interval_filtered.plot(x='Datetime', y=f'{phase_id}-P', c='C0', ax=ax, alpha=0.8, linewidth=1, label=\"P (HP ON)\")\n",
" df_interval_filtered.plot(x='Datetime', y=f'{phase_id}-Q', c='C1', ax=ax, alpha=0.8, linewidth=1, label=\"Q (HP ON)\")\n",
" \n",
" estimated_duration_h = len(df_interval_filtered.loc[filt]) / 60\n",
" estimated_energy_j = 60*df_interval.loc[filt, 'S'].sum()\n",
" estimated_energy_kwh = int(estimated_energy_j / 3.6e6)\n",
" \n",
" ax.set_ylabel('Power [W | Var]')\n",
" ax.grid()\n",
" ax.legend(loc='upper right')\n",
" ax.set_title(f\"Duration ON: {estimated_duration_h:.1f}h | Energy consumed: {estimated_energy_kwh:.2f} kWh\")"
],
"id": "7fcbd2e6-7b78-47c5-be58-7400b1073833",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5a4f53610c8b4b5095e0a0922894f0c4",
"version_minor": 0,
"version_major": 2
},
"text/plain": [
"interactive(children=(Dropdown(description='phase_id', index=3, options=('L1', 'L2', 'L3', 'all'), value='all'…"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "28fc459e-38f7-4a07-bd58-6b919bea5aa2"
},
"source": [
"**Outtakes:**\n",
"- The heatpump seems to consume about 9100kWh for a whole year.\n",
"- It is coherent with numbers on the internet: the average home requires around 12000kWh of heat per year."
],
"id": "28fc459e-38f7-4a07-bd58-6b919bea5aa2"
},
{
"cell_type": "markdown",
"metadata": {
"id": "f3f73123-325d-4939-b2c3-4c883b3c99dd"
},
"source": [
"# Evolution consumption over months\n"
],
"id": "f3f73123-325d-4939-b2c3-4c883b3c99dd"
},
{
"cell_type": "code",
"metadata": {
"id": "f57b478b-26c1-44a9-93ce-bb51531b3ff5"
},
"source": [
"durations = []\n",
"consumptions = []\n",
"months = []\n",
"\n",
"# Loop through each month of available recodings\n",
"start_date = df.loc[0, \"Datetime\"]\n",
"months_list = pd.date_range(start_date, start_date + timedelta(weeks=54, days=1), freq='1M')\n",
"for date in months_list:\n",
" this_month = datetime(date.year, date.month, 1)\n",
" next_month = datetime(date.year + int(date.month / 12), ((date.month % 12) + 1), 1)\n",
" df_interval = df[(df['Datetime'] >= this_month) & (df['Datetime'] <= next_month)]\n",
"\n",
" # Filter heatpump data points\n",
" filt = df_interval['cluster'].isin(cluster_id)\n",
"\n",
" # Compute heat pump ON time and apparent power consumption\n",
" estimated_duration_h = len(df_interval.loc[filt]) / 60\n",
" estimated_energy_j = 60*df_interval.loc[filt, 'S'].sum()\n",
" estimated_energy_kwh = int(estimated_energy_j / 3.6e6)\n",
" \n",
" durations.append(estimated_duration_h)\n",
" consumptions.append(estimated_energy_kwh) \n",
" months.append(this_month)"
],
"id": "f57b478b-26c1-44a9-93ce-bb51531b3ff5",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
},
"id": "5ef1ee18-9558-444a-90a9-c8f94265f704",
"outputId": "089c6d4f-388e-4632-f5c5-8098b4791ffe"
},
"source": [
"monthly_results = pd.DataFrame()\n",
"monthly_results['Time'] = pd.to_datetime(months_list, infer_datetime_format=True)\n",
"monthly_results['Duration'] = durations\n",
"monthly_results['Consumption'] = consumptions\n",
"\n",
"ax = monthly_results.plot(x='Time', y=['Duration', 'Consumption'], figsize=(12, 6), grid=True)\n",
"ax.set_title(f\"Duration ON: {monthly_results['Duration'].sum():.1f}h | Energy consumed: {monthly_results['Consumption'].sum():.2f} kWh\")\n",
"ax.legend(['Duration [h]', 'Consumption [kWh]']);"
],
"id": "5ef1ee18-9558-444a-90a9-c8f94265f704",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4f8b6084-d9ce-402e-b677-c689ff726366"
},
"source": [
"**Further improvements:** More advanced approaches like the one proposed by [Garcia et al.](https://link.springer.com/article/10.1186/s42162-020-00131-7) would probably allow for a more fine-grained estimation of the heat pump energy use.\n",
"\n",
"<center><img src=\"https://media.springernature.com/lw685/springer-static/image/art%3A10.1186%2Fs42162-020-00131-7/MediaObjects/42162_2020_131_Fig2_HTML.png?as=webp\"/></center>\n",
"\n"
],
"id": "4f8b6084-d9ce-402e-b677-c689ff726366"
}
]
}
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