master-thesis/lab-windows/Phase Measurement Prototype.ipynb
2020-04-02 15:11:17 +02:00

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{
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{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import struct\n",
"\n",
"import numpy as np\n",
"from scipy import signal, optimize\n",
"from matplotlib import pyplot as plt\n",
"\n",
"import rocof_test_data"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib widget"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"fs = 1000 # Hz\n",
"ff = 50 # Hz\n",
"duration = 60 # seconds\n",
"# test_data = rocof_test_data.sample_waveform(rocof_test_data.test_close_interharmonics_and_flicker(),\n",
"# duration=20,\n",
"# sampling_rate=fs,\n",
"# frequency=ff)[0]\n",
"# test_data = rocof_test_data.sample_waveform(rocof_test_data.gen_noise(fmin=10, amplitude=1),\n",
"# duration=20,\n",
"# sampling_rate=fs,\n",
"# frequency=ff)[0]\n",
"\n",
"\n",
"#gen = rocof_test_data.gen_noise(fmin=10, amplitude=1)\n",
"# gen = rocof_test_data.gen_noise(fmin=60, amplitude=0.2)\n",
"# gen = rocof_test_data.test_harmonics()\n",
"# gen = rocof_test_data.gen_interharmonic(*rocof_test_data.test_interharmonics)\n",
"# gen = rocof_test_data.test_amplitude_steps()\n",
"# gen = rocof_test_data.test_amplitude_and_phase_steps()\n",
"test_data = []\n",
"test_labels = [ fun.__name__.replace('test_', '') for fun in rocof_test_data.all_tests ]\n",
"for gen in rocof_test_data.all_tests:\n",
" test_data.append(rocof_test_data.sample_waveform(gen(),\n",
" duration=duration,\n",
" sampling_rate=fs,\n",
" frequency=ff)[0])\n",
"# d = 10 # seconds\n",
"# test_data = np.sin(2*np.pi * ff * np.linspace(0, d, int(d*fs)))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"spr_fmt = f'{fs}Hz' if fs<1000 else f'{fs/1e3:f}'.rstrip('.0') + 'kHz'\n",
"for label, data in zip(test_labels, test_data):\n",
" with open(f'rocof_test_data/rocof_test_{label}_{spr_fmt}.bin', 'wb') as f:\n",
" for sample in data:\n",
" f.write(struct.pack('<f', sample))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"analysis_periods = 10\n",
"window_len = 256 # fs * analysis_periods/ff\n",
"nfft_factor = 1\n",
"sigma = window_len/8 # samples\n",
"quantization_bits = 14\n",
"\n",
"ffts = []\n",
"for item in test_data:\n",
" f, t, Zxx = signal.stft((item * (2**(quantization_bits-1) - 1)).round().astype(np.int16).astype(float),\n",
" fs = fs,\n",
" window=('gaussian', sigma),\n",
" nperseg = window_len,\n",
" nfft = window_len * nfft_factor)\n",
" #boundary = 'zeros')\n",
" ffts.append((f, t, Zxx))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
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"Zxx.shape"
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"1000/256"
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{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
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"model_id": "96e3c06718434807813d909d3a1f4d0e",
"version_major": 2,
"version_minor": 0
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"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n",
"fig.tight_layout(pad=2, h_pad=0.1)\n",
"\n",
"for fft, ax, label in zip(test_data, ax.flatten(), test_labels):\n",
" ax.plot((item * (2**(quantization_bits-1) - 1)).round())\n",
" \n",
" ax.set_title(label, pad=-20, color='white', bbox=dict(boxstyle=\"square\", ec=(0,0,0,0), fc=(0,0,0,0.8)))\n",
" ax.grid()\n",
" ax.set_ylabel('f [Hz]')\n",
"ax.set_xlabel('simulation time t [s]')\n",
"ax.set_xlim([5000, 5200])\n",
"None"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n",
"fig.tight_layout(pad=2, h_pad=0.1)\n",
"\n",
"for fft, ax, label in zip(ffts, ax.flatten(), test_labels):\n",
" f, t, Zxx = fft\n",
" ax.pcolormesh(t[1:], f[:250], np.abs(Zxx[:250,1:]))\n",
" ax.set_title(label, pad=-20, color='white')\n",
" ax.grid()\n",
" ax.set_ylabel('f [Hz]')\n",
" ax.set_ylim([30, 75]) # Hz\n",
"ax.set_xlabel('simulation time t [s]')\n",
"None"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
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"source": [
"f"
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{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
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{
"name": "stdout",
"output_type": "stream",
"text": [
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/user/safety-reset/lab-windows/env/lib/python3.8/site-packages/scipy/optimize/minpack.py:807: OptimizeWarning: Covariance of the parameters could not be estimated\n",
" warnings.warn('Covariance of the parameters could not be estimated',\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n",
"slice(12, 15, None)\n"
]
}
],
"source": [
"fig, axs = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n",
"fig.tight_layout(pad=2.2, h_pad=0, w_pad=1)\n",
"\n",
"for fft, ax, label in zip(ffts, axs.flatten(), test_labels):\n",
" f, f_t, Zxx = fft\n",
" \n",
" n_f, n_t = Zxx.shape\n",
" # start, stop = 180, 220\n",
" # start, stop = 90, 110\n",
" # start, stop = 15, 35\n",
" # bounds_f = slice(start // 4 * nfft_factor, stop // 4 * nfft_factor)\n",
" f_min, f_max = 30, 70 # Hz\n",
" bounds_f = slice(np.argmax(f > f_min), np.argmin(f < f_max))\n",
" \n",
"\n",
" f_mean = np.zeros(Zxx.shape[1])\n",
" for t in range(1, Zxx.shape[1] - 1):\n",
" frame_f = f[bounds_f]\n",
" frame_step = frame_f[1] - frame_f[0]\n",
" time_step = f_t[1] - f_t[0]\n",
" #if t == 10:\n",
" # axs[-1].plot(frame_f, frame_Z)\n",
" frame_Z = np.abs(Zxx[bounds_f, t])\n",
" # frame_f = f[180:220]\n",
" # frame_Z = np.abs(Zxx[180:220, 40])\n",
" # frame_f = f[15:35]\n",
" # frame_Z = np.abs(Zxx[15:35, 40])\n",
" # plt.plot(frame_f, frame_Z)\n",
"\n",
" # peak_f = frame_f[np.argmax(frame)]\n",
" # plt.axvline(peak_f, color='red')\n",
"\n",
"# def gauss(x, *p):\n",
"# A, mu, sigma, o = p\n",
"# return A*np.exp(-(x-mu)**2/(2.*sigma**2)) + o\n",
" \n",
" def gauss(x, *p):\n",
" A, mu, sigma = p\n",
" return A*np.exp(-(x-mu)**2/(2.*sigma**2))\n",
" \n",
" f_start = frame_f[np.argmax(frame_Z)]\n",
" A_start = np.max(frame_Z)\n",
" p0 = [A_start, f_start, 1.]\n",
" try:\n",
" coeff, var = optimize.curve_fit(gauss, frame_f, frame_Z, p0=p0)\n",
" # plt.plot(frame_f, gauss(frame_f, *coeff))\n",
" #print(coeff)\n",
" A, mu, sigma, *_ = coeff\n",
" f_mean[t] = mu\n",
" except RuntimeError:\n",
" f_mean[t] = np.nan\n",
" ax.plot(f_t[1:-1], f_mean[1:-1])\n",
" \n",
"# b, a = signal.butter(3,\n",
"# 1/5, # Hz\n",
"# btype='lowpass',\n",
"# fs=1/time_step)\n",
"# filtered = signal.lfilter(b, a, f_mean[1:-1], axis=0)\n",
"# ax.plot(f_t[1:-1], filtered)\n",
" \n",
" ax.set_title(label, pad=-20)\n",
" ax.set_ylabel('f [Hz]')\n",
" ax.grid()\n",
" if not label in ['off_frequency', 'sweep_phase_steps']:\n",
" ax.set_ylim([49.90, 50.10])\n",
" var = np.var(f_mean[1:-1])\n",
" ax.text(0.5, 0.1, f'σ²={var * 1e3:.3g} mHz²', transform=ax.transAxes, ha='center')\n",
" ax.text(0.5, 0.25, f'σ={np.sqrt(var) * 1e3:.3g} mHz', transform=ax.transAxes, ha='center')\n",
"# ax.text(0.5, 0.2, f'filt. σ²={np.var(filtered) * 1e3:.3g} mHz', transform=ax.transAxes, ha='center')\n",
" else:\n",
" f_min, f_max = min(f_mean[1:-1]), max(f_mean[1:-1])\n",
" delta = f_max - f_min\n",
" ax.set_ylim(f_min - delta * 0.1, f_max + delta * 0.3)\n",
" \n",
"ax.set_xlabel('simulation time t [s]')\n",
"None"
]
}
],
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