{ "cells": [ { "cell_type": "markdown", "id": "5023b94f-7474-4064-a1b5-4b9208420532", "metadata": {}, "source": [ "I’m currently thinking hard about adding some isolation to our house. To get started on this not so simple problem, I’ve turned to an amazing book, about energy in general: David JC MacKay’s **Sustainable Energy – without the hot air** (see [here](http://www.withouthotair.com/Contents.html), a free read!).\n", "\n", "It turns down that a relatively simple model can be used to analyze the thermal leakiness properties of a house, based on the knowledge of its surfaces in contact with the outside, the thermostat setting and local temperatures as a function of the year.\n", "\n", "The physics and math boil down to the following formula (details in [MacKay’s Appendix E](http://www.withouthotair.com/cE/page_289.shtml)):\n", "\n", "$$\n", "\\text{energy lost (kWh)} = \\text{leakiness of house (W/°C)} * \\text{temperature demand (°C $\\cdot$ days)} * \\text{hours of heating per day (hours/day) / 1000 (W per kW)} \n", "$$\n", "\n", "To get a little bit more into details:\n", "- the leakiness of the house is a function of its surfaces and the materials they are made of, which each have a different thermal resistance (i.e. a number that says how slowly the heat is transferred through them)\n", "- the temperature demand is the relative gap between the thermostat setting of the house user and the outside temperature (which depends on the house location)\n", "- the number of hours of heating per day is set by the house user\n", "\n", "In this blog post, we will evaluate all of the terms in the above equation to obtain a value of energy lost to the outside for my house in Orsay, France. First, we will evaluate the temperature demand. Then, the house leakiness. And finally, get an estimate on the total heat loss." ] }, { "cell_type": "markdown", "id": "9e8d875a-bafe-40ba-b9c8-b7b640a6015b", "metadata": {}, "source": [ "# Part 1: computing the temperature demand as a function of thermostat setting" ] }, { "cell_type": "markdown", "id": "e3a822bc-9f77-4847-9c7e-4f12200b0abf", "metadata": {}, "source": [ "The first quantity we want to compute is called, following MacKay, *temperature demand*. It is computed by multiplying the difference in temperature $\\Delta T$ by a duration $\\Delta t$. To quote his example:\n", "\n", "> For example, if your house interior is at 18 °C, and the outside temperature is 8 °C for a week, then we say that that week contributed 10 × 7 = 70 degree-days to the (ΔT ×duration) sum.\n", "\n", "Enedis, the company in charge of maintaining the French electric grid provides half-hourly temperature time-series that we can use (see [here](https://data.enedis.fr/pages/accueil/?id=dataviz-donnees-de-temperature-et-de-pseudo-rayonnement-en-j2)). Alternatively, we could probably have used the PVGIS database from the European Commission ([here](https://joint-research-centre.ec.europa.eu/photovoltaic-geographical-information-system-pvgis_en)). Using the `download_data.py` script creates a data file, that once downloaded can be loaded and displayed.\n", "\n", "The plot below shows the data over the last 5 years as well as a thermostat setting. It highlights (in red) the temperature demand, i.e. the difference to the outside temperature that needs to be compensated by heat production." ] }, { "cell_type": "code", "execution_count": 1, "id": "0e9b3dbb-6564-48bf-a663-c0b66ca5c526", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "plt.style.use(\"seaborn-white\")\n", "%matplotlib inline\n", "\n", "# we group and average to get a daily temperature value (scaled down from hourly data)\n", "df = pd.read_csv(\"data.csv\", encoding=\"ansi\", delimiter=\";\", decimal=\",\").groupby(by=\"Année-Mois-Jour\").mean()\n", "df.index = pd.to_datetime(df.index)\n", "df.head()\n", "\n", "# let’s plot the temperature as well as the integral between the outside temperature \n", "# and our target thermostat\n", "\n", "thermostat_setting = 20.\n", "temp_vals = df[\"Température réalisée lissée (°C)\"].values\n", "x = df.index\n", "y1 = temp_vals * 0 + thermostat_setting\n", "y2 = np.min(np.c_[temp_vals, y1], axis=1)\n", "\n", "area = np.trapz(thermostat_setting - y2, np.arange(y2.size), dx=1)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "ax.plot(x, temp_vals, lw=1)\n", "ax.hlines(thermostat_setting, df.index[0], df.index[-1])\n", "ax.fill_between(x, y2, y1, color=\"red\", alpha=0.3, label=f\"{area / 5:.0f} degree-days per year, on average\")\n", "ax.set_title(f\"thermostat set to {thermostat_setting} °C\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "29b76fe1-a672-44e3-b143-d60883ff229f", "metadata": {}, "source": [ "I’ve used the full data in the above plot and averaged the temperature demand. As we can read on the plot, the average temperature demand is 2550 degree-days. This corresponds to a 7 degree difference between a thermostat set to 20°C and the outside, which seems reasonable.\n", "\n", "What does this plot look like if we restrict it to last year?" ] }, { "cell_type": "code", "execution_count": 2, "id": "82420249-a43d-4bcd-9763-56ad84ce5072", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sel = (df.index >= pd.Timestamp(\"2021-01-01\")) & (df.index <= pd.Timestamp(\"2021-12-31\")) \n", "temp_vals = df[\"Température réalisée lissée (°C)\"][sel].values\n", "x = df.index[sel]\n", "y1 = temp_vals * 0 + thermostat_setting\n", "y2 = np.min(np.c_[temp_vals, y1], axis=1)\n", "\n", "area = np.trapz(thermostat_setting - y2, np.arange(y2.size), dx=1)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "ax.plot(x, temp_vals, lw=1)\n", "ax.hlines(thermostat_setting, x[0], x[-1])\n", "ax.fill_between(x, y2, y1, color=\"red\", alpha=0.3, label=f\"{area:.0f} degree-days per year for 2021\")\n", "ax.set_title(f\"thermostat set to {thermostat_setting} °C\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "d9f9a712-af88-4d1b-9d66-8124768b5dc5", "metadata": {}, "source": [ "Last year was colder than average, hence the increased temperature demand computed.\n", "\n", "As you can see in the above plot, sharp summer peaks were followed by slightly cooler periods between June and September. The simple temperature demand model used here counts the colder periods as heating periods, which is not exactly what happens in practice (my heating stays off from May to October). We will ignore this inaccuraccy in our computation for simplicity’s sake. Also, in practice, the dips could be compensated by the peaks due to thermal inertia, something that is ignored in the model we use in this study." ] }, { "cell_type": "markdown", "id": "6021193c-c38d-462a-9256-55607a9c9c86", "metadata": {}, "source": [ "A central question discussed in MacKay’s book is: \"how much does the temperature demand change if we change the thermostat setting?\".\n", "\n", "We can address this by recomputing the red-highlighted area with different baseline thermostat settings:" ] }, { "cell_type": "code", "execution_count": 3, "id": "670c0636-09a3-4a60-b36c-7ee188f8b655", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "thermostat setting °C\n", "14 1212.988542\n", "15 1440.417708\n", "16 1676.188542\n", "17 1918.748958\n", "18 2168.080208\n", "19 2437.107292\n", "20 2739.253125\n", "21 3066.511458\n", "22 3406.388542\n", "23 3755.815625\n", "24 4114.582292\n", "Name: temperature demand, dtype: float64\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "degree_days = []\n", "thermostat_settings = np.arange(14, 25)\n", "for thermostat_setting in thermostat_settings:\n", " y1 = temp_vals * 0 + thermostat_setting\n", " y2 = np.min(np.c_[temp_vals, y1], axis=1)\n", " avg_deg_days = np.trapz(thermostat_setting - y2, np.arange(y2.size), dx=1)\n", " degree_days.append(avg_deg_days)\n", "\n", "s = pd.Series(degree_days, pd.Index(thermostat_settings, name=\"thermostat setting °C\"), name=\"temperature demand\")\n", "\n", "print(s)\n", "\n", "s.plot(marker=\"o\", ylabel=\"temperature demand (degree-days)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "97401eee-81da-42e1-ad85-fd242a521ebb", "metadata": {}, "source": [ "As you can see, increase the thermostat increases the demand, in a slightly non-linear way.\n", "\n", "How much does the demand change if we increase our thermostat by 1 degree?" ] }, { "cell_type": "code", "execution_count": 4, "id": "1deb0027-236a-469a-bf53-e20d9a3ff14c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "average demand increase for 1°C: 290.2 degree-days\n" ] }, { "data": { "text/plain": [ "thermostat setting °C\n", "14 NaN\n", "15 227.429167\n", "16 235.770833\n", "17 242.560417\n", "18 249.331250\n", "19 269.027083\n", "20 302.145833\n", "21 327.258333\n", "22 339.877083\n", "23 349.427083\n", "24 358.766667\n", "Name: temperature demand, dtype: float64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(f\"average demand increase for 1°C: {s.diff().mean():.1f} degree-days\")\n", "\n", "s.diff()" ] }, { "cell_type": "markdown", "id": "36012763-f81a-48d4-b78b-6e01e5d9d61a", "metadata": {}, "source": [ "As you can see, an increase of 1 degree incurs 300 degree-days more demand, on average. This looks reasonable since it means increasing the heating during the cold days by 1 degree over roughly 365 days.\n", "\n", "With the temperature demand in place, let’s now turn to house leakiness." ] }, { "cell_type": "markdown", "id": "d55f6496-5857-41f4-abb5-11765a43c086", "metadata": {}, "source": [ "# Part 2: computing the leakiness of the house" ] }, { "cell_type": "markdown", "id": "484f049b-89a0-4c46-abf2-15c9a2a4d7f7", "metadata": {}, "source": [ "The leakiness of my house is made of two parts: conduction losses and ventilation losses.\n", "\n", "Luckily for me, I got an energy assessement file when I bought the house which states surfaces and thermal resistances. This is what I will use to sum the leaks over all the elements of the house (walls, roof, floor)." ] }, { "cell_type": "code", "execution_count": 5, "id": "d47fa9fe-3b34-41e3-bcbe-b5ba33dbdfee", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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ElementSurface (m²)U (W/m²/°C)leakiness (W/°C)
0Murs61.000.3621.960
1Planchers37.002.0074.000
2Plafonds34.000.206.800
3Fenêtre 1 (cuisine)1.262.603.276
4Fenêtre 2 (salle de bain)0.302.600.780
5Fenêtre 3 (chambre petite)0.302.600.780
6Fenêtre 4 (chambre)1.932.605.018
7Fenêtre 5 (salon)3.682.609.568
8Fenêtre 6 (salon)2.422.606.292
9Fenêtre 7 (vélux 1)1.262.803.528
10Fenêtre 8 (vélux 2)1.262.803.528
11Porte1.903.506.650
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" ], "text/plain": [ " Element Surface (m²) U (W/m²/°C) leakiness (W/°C)\n", "0 Murs 61.00 0.36 21.960\n", "1 Planchers 37.00 2.00 74.000\n", "2 Plafonds 34.00 0.20 6.800\n", "3 Fenêtre 1 (cuisine) 1.26 2.60 3.276\n", "4 Fenêtre 2 (salle de bain) 0.30 2.60 0.780\n", "5 Fenêtre 3 (chambre petite) 0.30 2.60 0.780\n", "6 Fenêtre 4 (chambre) 1.93 2.60 5.018\n", "7 Fenêtre 5 (salon) 3.68 2.60 9.568\n", "8 Fenêtre 6 (salon) 2.42 2.60 6.292\n", "9 Fenêtre 7 (vélux 1) 1.26 2.80 3.528\n", "10 Fenêtre 8 (vélux 2) 1.26 2.80 3.528\n", "11 Porte 1.90 3.50 6.650" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_leakiness_conduction = pd.read_excel(\"house_leakiness.xlsx\", sheet_name=\"conduction\",usecols=(0, 1, 2)).dropna()\n", "\n", "df_leakiness_conduction[\"leakiness (W/°C)\"] = df_leakiness_conduction[\"Surface (m²)\"] * df_leakiness_conduction[\"U (W/m²/°C)\"]\n", "\n", "df_leakiness_conduction" ] }, { "cell_type": "markdown", "id": "c80ee8c3-64af-416c-91e8-dca37bcbea4a", "metadata": {}, "source": [ "Looking at the above table, it seems that we are leaking energy mostly through our floor and then through our walls, but not so much through our roof. But it seems to me that some of these numbers could be wrong (for instance the surface of the roof seems strangely small, at 34 m² — the floor also, at only 37 m²)." ] }, { "cell_type": "markdown", "id": "91dfcf30-a4e5-418a-82ff-6e632b133dbc", "metadata": {}, "source": [ "Concerning the ventilation losses, I’ve guesstimated some values for it." ] }, { "cell_type": "code", "execution_count": 6, "id": "a49f88a4-7430-4c80-bfc0-271e4bc81085", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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PièceVolume (m³)N (nombre par heure)leakiness (W/°C)
0Chambres24.000.54.000000
1Cuisine16.802.011.200000
2Salon59.402.039.600000
3Autres72.250.512.041667
\n", "
" ], "text/plain": [ " Pièce Volume (m³) N (nombre par heure) leakiness (W/°C)\n", "0 Chambres 24.00 0.5 4.000000\n", "1 Cuisine 16.80 2.0 11.200000\n", "2 Salon 59.40 2.0 39.600000\n", "3 Autres 72.25 0.5 12.041667" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_leakiness_ventilation = pd.read_excel(\"house_leakiness.xlsx\", sheet_name=\"ventilation\",usecols=(0, 1, 2)).dropna()\n", "\n", "df_leakiness_ventilation[\"leakiness (W/°C)\"] = 1/3 * df_leakiness_ventilation[\"Volume (m³)\"] * df_leakiness_ventilation[\"N (nombre par heure)\"]\n", "\n", "df_leakiness_ventilation" ] }, { "cell_type": "code", "execution_count": 7, "id": "c84206e6-dec2-48b3-81b8-e92c9161dc1a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "209.02166666666665" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total_leakiness = df_leakiness_conduction[\"leakiness (W/°C)\"].sum() + df_leakiness_ventilation[\"leakiness (W/°C)\"].sum()\n", "\n", "total_leakiness" ] }, { "cell_type": "markdown", "id": "b43549ed-991a-4d13-a065-33477d78d9b9", "metadata": {}, "source": [ "# Part 3: the final \"hot air\" heat loss" ] }, { "cell_type": "markdown", "id": "33c692e6-96ab-4672-82f4-f5fe851f853e", "metadata": {}, "source": [ "Let’s now compute the hours of heating per day. We have a different heating schedule during the week and on weekends:" ] }, { "cell_type": "code", "execution_count": 8, "id": "2152d8ea-2d0c-4ce2-a9a9-080b3b233649", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9.142857142857142" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hours_per_day = (8 * 5 + 12 * 2) / 7 # weekdays + week-end \n", "\n", "hours_per_day" ] }, { "cell_type": "code", "execution_count": 9, "id": "14d0dc95-f929-479e-ac95-12ac15d1c74d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total energy needed per year: 5234.9 kWh\n" ] } ], "source": [ "total_heating_needed = total_leakiness * s[20] * hours_per_day / 1000\n", "\n", "print(f\"Total energy needed per year: {total_heating_needed:.1f} kWh\")" ] }, { "cell_type": "markdown", "id": "f66da1b1-d667-4101-93ed-a2eca610ca71", "metadata": {}, "source": [ "Another question we can ask is what the yearly energy loss is as a function of thermostat value?" ] }, { "cell_type": "code", "execution_count": 10, "id": "e65ef5ca-8d2a-40ac-8f04-1463dc2fba6b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s2 = total_leakiness * s * hours_per_day / 1000\n", "s2.plot(marker=\"o\", ylabel=\"heat loss (kWh per year)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "315713ab-0f2d-48b0-aeb8-8d2bfde9fe72", "metadata": {}, "source": [ "# Discussion " ] }, { "cell_type": "markdown", "id": "d7c4abac-00bb-4e61-ad63-c30dd7cd0670", "metadata": {}, "source": [ "Since our thermostat value is around 20°C, the estimated heat losses of our house are at 5200 kWh per year. It turns out that the energy inventory data we got when we bought the house mentions a number of 5374 kWh per year. However, based on the temporary data from our heating consumption, it seems we burn 1.9 tonnes of pellets per year, which would put the energy used at 9500 kWh, a value markedly above the one we computed. To be fair in the comparison, we should take into account hot water production too." ] }, { "cell_type": "markdown", "id": "d1b9d078-848e-4ad6-a88d-4d7730c1e087", "metadata": {}, "source": [ "There are many moving parts here, but my main take-away is that the number we come up with here is close to the one that stands in our energy inventory file, but far from the one estimated by heating fuel costs. It will be interesting to reconcile this computation with reality and use it as a basis for estimating the possible gains due to insulation." ] }, { "cell_type": "markdown", "id": "c1003bd4-0d52-4bc3-b6ac-d66230a91e9d", "metadata": {}, "source": [ "*This notebook is part of the repo https://github.com/flothesof/orsay_house_thermics. BSD license applies.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 5 }