{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# FFT with Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to know how the FFT Algorithm works, Jake Vanderplas explained it extremely well in his blog: http://jakevdp.github.io/blog/2013/08/28/understanding-the-fft/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is, how it is applied and how the axis are scaled to real physical values." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import csv\n", "import pandas as pd\n", "import numpy as np\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.style.use('seaborn-poster')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First: A synthetic Signal, a simple Sine Wave" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 2*np.pi, 1000, endpoint=True)\n", "f = 3.0 # Frequency in Hz\n", "A = 100.0 # Amplitude in Unit\n", "s = A * np.sin(2*np.pi*f*t) # Signal" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(t,s)\n", "plt.xlabel('Time ($s$)')\n", "plt.ylabel('Amplitude ($Unit$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Do the Discrete Fourier Transform with the Blazing Fast FFT Algorithm" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "Y = np.fft.fft(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's take a look at the result" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(Y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hm, looks strange. Something, which is mirrored at the half, right?!" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([35.8278453 -0.34792659j, 35.82789273-0.2319472j ,\n", " 35.82792118-0.11597245j, 35.82793066+0.j ,\n", " 35.82792118+0.11597245j, 35.82789273+0.2319472j ,\n", " 35.8278453 +0.34792659j])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = int(len(Y)/2+1)\n", "Y[N-4:N+3]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you see it?\n", "\n", "And it is something with imaginary parts (the $j$) in it. So let's just take the real part of it with the `abs` command." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(np.abs(Y));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, it is perfectly mirrored at the half. So let's just take the first half." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Amplitude Spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember: $N$ is half the length of the output of the FFT." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(np.abs(Y[:N]));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks pretty good. It is called the **amplitude spectrum** of the time domain signal and was calculated with the Discrete Fourier Transform with the *Chuck-Norris-Fast* FFT algorithm. But how to get the x- and y-axis to real physical scaled values?!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Real Physical Values for the Amplitude and Frequency Axes of the FFT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### x-Axis: The Frequency Axis of the FFT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let us determine the timestep, which is used to sample the signal. We made it synthetically, but a real signal has a period (measured every second or every day or something similar). If there is no constant frequency, the FFT can not be used! One can interpolate the signal to a new time base, but then the signal spectrum is not the original one. It depends on the case, if the quality is enough or if the information is getting lost with this shift keying. Enough.\n", "\n", "We have a good signal:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dt=0.00629s (Sample Time)\n", "fa=159.00Hz (Frequency)\n" ] } ], "source": [ "dt = t[1] - t[0]\n", "fa = 1.0/dt # scan frequency\n", "print('dt=%.5fs (Sample Time)' % dt)\n", "print('fa=%.2fHz (Frequency)' % fa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to create a x-Axis vector, which starts from $0.0$ and is filled with $N$ (length of half of the FFT signal) values and going all the way to the maximum frequency, which can be reconstructed. This frequency is half of the maximum sampling frequency ($f_a$) and is called the `Nyquist-Frequency` (see [Nyquist-Shannon Sampling Theorem](http://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem))." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.15899579, 0.31799158, 0.47698736])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = np.linspace(0, fa/2, N, endpoint=True)\n", "X[:4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot the amplitude spectrum over the newly created frequency vector $X$" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X, np.abs(Y[:N]))\n", "plt.xlabel('Frequency ($Hz$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yeah! The x-Axis is showing us, that we have a peak at exactly these frequencies, from which our synthetically created signal was build of. That was the job.\n", "\n", "The sample frequency was $f_a=159Hz$, so the amplitude spectrum is from $0.0$ to $\\frac{f_a}{2}=79.5Hz$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### y-Axis: The Amplitude of the FFT Signal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This task is not this easy, because one have to understand, how the Fourier Transform or the Discrete Fourier Transform works in detail. We need to transform the y-axis value from *something* to a real physical value. Because the power of the signal in time and frequency domain have to be equal, and we just used the left half of the signal (look at $N$), now we need to multiply the amplitude with the factor of **2**. If we inverse the FFT with `IFFT`, the power of the signal is the same.\n", "\n", "But that was the easy part. The more complicated one is, if you look at the definition of the Discrete Fourier Transform:\n", "\n", "$Y[k]=\\frac{1}{N} \\underbrace{\\sum_{N} x(nT)\\cdot e^{-i 2 \\pi \\frac{k}{N}n}}_{DFT}$\n", "\n", "In most implementations, the output $Y$ of the `FFT` is normalized with the number of samples. We have to divide by $N$ to get the real physical value.\n", "\n", "The magic factor is $\\frac{2}{N}$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X, 2.0*np.abs(Y[:N])/N)\n", "plt.xlabel('Frequency ($Hz$)')\n", "plt.ylabel('Amplitude ($Unit$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yeah! Job accomplised. Congratulations. But wait...\n", "\n", "If you look at the parameters for the original signal ($A$), our signal amplitude was not, what is calculated here. Why??" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The wrong Amplitude Spectrum because of Leakage Effect" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Take a look at the original signal." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(t,s)\n", "plt.xlabel('Time ($s$)')\n", "plt.ylabel('Amplitude ($Unit$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do you see, that the signal do not end at amplitude zero, where it started? That means, if you add these signals up, it looks like this:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(t, s, label='Signal 1')\n", "plt.plot(t+t[-1], s, label='Signal 1 again')\n", "plt.xlim(t[-1]-1, t[-1]+1)\n", "plt.xlabel('Time ($s$)')\n", "plt.ylabel('Amplitude ($Unit$)')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the Fourier Transform was originally invented by Mr Fourier for, and only for, periodic signals (see [Fourier Transform](http://en.wikipedia.org/wiki/Fourier_transform)). So the Discrete Fourier Transform does and the Fast Fourier Transform Algorithm does it, too.\n", "\n", "The signal has to be strictly periodic, which introduces the so called **windowing** to eliminate the leakage effect." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Window Functions to get periodic signals from real data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a lot of window functions, like the *Hamming*, *Hanning*, *Blackman*, ..." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hann = np.hanning(len(s))\n", "hamm = np.hamming(len(s))\n", "black= np.blackman(len(s))\n", "\n", "plt.figure(figsize=(8,3))\n", "plt.subplot(131)\n", "plt.plot(hann)\n", "plt.title('Hanning')\n", "plt.subplot(132)\n", "plt.plot(hamm)\n", "plt.title('Hamming')\n", "plt.subplot(133)\n", "plt.plot(black)\n", "plt.title('Blackman')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All have different characteristics, which is an [own engineering discipline](http://en.wikipedia.org/wiki/Window_function). Let's take the *Hanning* window function to multiply our signal with." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(t,hann*s)\n", "plt.xlabel('Time ($s$)')\n", "plt.ylabel('Amplitude ($Unit$)')\n", "plt.title('Signal with Hanning Window function applied');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FFT with windowed signal" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Yhann = np.fft.fft(hann*s)\n", "\n", "plt.figure(figsize=(12,5))\n", "plt.subplot(121)\n", "plt.plot(t,s)\n", "plt.title('Time Domain Signal')\n", "plt.ylim(np.min(s)*3, np.max(s)*3)\n", "plt.xlabel('Time ($s$)')\n", "plt.ylabel('Amplitude ($Unit$)')\n", "\n", "plt.subplot(122)\n", "plt.plot(X, 2.0*np.abs(Yhann[:N])/N)\n", "plt.title('Frequency Domain Signal')\n", "plt.xlabel('Frequency ($Hz$)')\n", "plt.ylabel('Amplitude ($Unit$)')\n", "\n", "plt.annotate(\"FFT\",\n", " xy=(0.0, 0.1), xycoords='axes fraction',\n", " xytext=(-0.5, 0.2), textcoords='axes fraction',\n", " size=30, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.2\"))\n", "plt.tight_layout()\n", "\n", "plt.savefig('FFT.png',bbox_inches='tight', dpi=150, transparent=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is exactly, what we wanted to see: A beautiful amplitude spectrum of our signal, which was calcualted with the FFT algorithm.\n", "\n", "Now let's take a look at some real data!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Vertical Grid Load of Germany" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"The vertical grid load is the sum, positive or negative, of all power transferred from the transmission grid through directly connected transformers and power lines to distribution grids and final consumers.\"\n", "\n", "Download the Data from [TransnetBW](https://www.transnetbw.de/de/transparenz/marktdaten/kennzahlen)" ] }, { "cell_type": "code", "execution_count": 369, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-01\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-02\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-03\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-04\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-05\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-06\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-07\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-08\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-09\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-10\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-11\n", "fetching https://api.transnetbw.de/verticalNetworkLoad/csv?date=2022-12\n" ] } ], "source": [ "netzlast = pd.DataFrame()\n", "\n", "for year in range(2022,2023):\n", " for month in range(1,13):\n", " url = \"https://api.transnetbw.de/verticalNetworkLoad/csv?date={:}-{:02d}\".format(year, month)\n", " print(f\"fetching {url}\")\n", " \n", " netzlast = netzlast.append(pd.read_csv(url, sep=';'))\n", " \n", "netzlast.index = pd.to_datetime(netzlast['Datum von (ISO 8601)'])\n", "netzlast.index.name = 'Datum'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interpolate some missing values" ] }, { "cell_type": "code", "execution_count": 370, "metadata": {}, "outputs": [], "source": [ "netzlast['MW'] = netzlast['Ist-Wert (MW)'].interpolate(method='linear')" ] }, { "cell_type": "code", "execution_count": 371, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Datum von (ISO 8601)Datum bis (ISO 8601)Prognose (MW)Ist-Wert (MW)MW
Datum
2022-12-31 21:45:00+00:002022-12-31T21:45:00Z2022-12-31T22:00:00Z27562778.02778.0
2022-12-31 22:00:00+00:002022-12-31T22:00:00Z2022-12-31T22:15:00Z27522878.02878.0
2022-12-31 22:15:00+00:002022-12-31T22:15:00Z2022-12-31T22:30:00Z27362850.02850.0
2022-12-31 22:30:00+00:002022-12-31T22:30:00Z2022-12-31T22:45:00Z27222833.02833.0
2022-12-31 22:45:00+00:002022-12-31T22:45:00Z2022-12-31T23:00:00Z26832729.02729.0
\n", "
" ], "text/plain": [ " Datum von (ISO 8601) Datum bis (ISO 8601) \\\n", "Datum \n", "2022-12-31 21:45:00+00:00 2022-12-31T21:45:00Z 2022-12-31T22:00:00Z \n", "2022-12-31 22:00:00+00:00 2022-12-31T22:00:00Z 2022-12-31T22:15:00Z \n", "2022-12-31 22:15:00+00:00 2022-12-31T22:15:00Z 2022-12-31T22:30:00Z \n", "2022-12-31 22:30:00+00:00 2022-12-31T22:30:00Z 2022-12-31T22:45:00Z \n", "2022-12-31 22:45:00+00:00 2022-12-31T22:45:00Z 2022-12-31T23:00:00Z \n", "\n", " Prognose (MW) Ist-Wert (MW) MW \n", "Datum \n", "2022-12-31 21:45:00+00:00 2756 2778.0 2778.0 \n", "2022-12-31 22:00:00+00:00 2752 2878.0 2878.0 \n", "2022-12-31 22:15:00+00:00 2736 2850.0 2850.0 \n", "2022-12-31 22:30:00+00:00 2722 2833.0 2833.0 \n", "2022-12-31 22:45:00+00:00 2683 2729.0 2729.0 " ] }, "execution_count": 371, "metadata": {}, "output_type": "execute_result" } ], "source": [ "netzlast.tail()" ] }, { "cell_type": "code", "execution_count": 372, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,5))\n", "netzlast['MW'].plot()\n", "plt.title(f'Vertical Grid Load Germany {year}')\n", "plt.ylabel('Power [$MW$]')\n", "plt.savefig(f'VerticalGridLoadGermany{year}.png',bbox_inches='tight', dpi=150, transparent=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do the FFT" ] }, { "cell_type": "code", "execution_count": 373, "metadata": {}, "outputs": [], "source": [ "MW = netzlast['MW'].values" ] }, { "cell_type": "code", "execution_count": 374, "metadata": {}, "outputs": [], "source": [ "hann = np.hanning(len(MW))" ] }, { "cell_type": "code", "execution_count": 375, "metadata": {}, "outputs": [], "source": [ "Y = np.fft.fft(MW)" ] }, { "cell_type": "code", "execution_count": 376, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fa=0.0011Hz (Frequency)\n" ] } ], "source": [ "N = int(len(Y)/2+1)\n", "fa = 1.0/(15.0*60.0) # every 15 minutes\n", "print('fa=%.4fHz (Frequency)' % fa)" ] }, { "cell_type": "code", "execution_count": 377, "metadata": {}, "outputs": [], "source": [ "X = np.linspace(0, fa/2, N, endpoint=True)" ] }, { "cell_type": "code", "execution_count": 378, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'vertical powergrid load ($MW$)')" ] }, "execution_count": 378, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X, 2.0*np.abs(Y[:N])/N)\n", "plt.xlabel('Frequency ($Hz$)')\n", "plt.ylabel('vertical powergrid load ($MW$)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hm. This is not what we expected. For humans, the x-axis is not understandable. What is $0.0002Hz$? Let's convert it to period, which is the reciprocal of the sampling rate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Rythm of modern Life, seen in the Power Grid" ] }, { "cell_type": "code", "execution_count": 379, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:1: RuntimeWarning: divide by zero encountered in true_divide\n", " \"\"\"Entry point for launching an IPython kernel.\n" ] } ], "source": [ "Xp = 1.0/X # in seconds\n", "Xph= Xp/(60.0*60.0) # in hours" ] }, { "cell_type": "code", "execution_count": 380, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,6))\n", "plt.plot(Xph, 2.0*np.abs(Y[:N])/N)\n", "plt.xticks([12, 24, 33, 84, 168])\n", "plt.xlim(0, 180)\n", "plt.ylim(0, 1500)\n", "plt.xlabel('Period ($h$)')\n", "plt.title(f'Vertical Grid Load Germany {year} Periods')\n", "plt.savefig(f'VerticalGridLoadGermany{year}-FFT.png',bbox_inches='tight', dpi=150, transparent=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aaaaah! Now we see following peaks:\n", "\n", "* `12h` day/night rythm\n", "* `24h` daily rythm\n", "* `33.6h` something? Any suggestions?\n", "* `84.2h` something? Any suggestions?\n", "* `168h` week rythm" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }