37 lines
878 B
Python
37 lines
878 B
Python
import numpy as np
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import matplotlib.pyplot as plt
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from scipy.signal import TransferFunction, step
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def step_rc(R, C, t_end, step_amplitude):
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# Define the transfer function H(s) = 1 / (RCs + 1)
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num = [1]
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den = [R * C, 1]
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system = TransferFunction(num, den)
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# Generate time points
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t = np.linspace(0, t_end, 1000)
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# Calculate the step response
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t, response = step(system, T=t)
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# Scale the response by the step amplitude
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response *= step_amplitude
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# Plot the step response
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plt.plot(t, response)
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plt.title('Step Response of RC Circuit')
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plt.xlabel('Time (s)')
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plt.ylabel('Response (V)')
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plt.grid(True)
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plt.show()
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return t, response
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# Example usage
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R = 1000 # Ohms
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C = 1e-6 # Farads
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t_end = 0.01 # seconds
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step_amplitude = 5 # Volts
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t, response = step_rc(R, C, t_end, step_amplitude)
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