74 lines
1.8 KiB
Python
74 lines
1.8 KiB
Python
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import numpy as np
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import matplotlib.pyplot as plt
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import PyQt5 as qt
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# Vn = 4e5 # En V
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def make_Y(n):
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Y = np.zeros((n, n))
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return Y
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def connect_Y(x, y, Ys, Yp, Y):
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Y[x, y] = -Ys
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Y[y, x] = -Ys
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Y[x, x] += Ys + Yp
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Y[y, y] += Ys + Yp
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def spec(n, Y, Vn):
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S = np.zeros((n, n))
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for i in range(n):
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for k in range(n):
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if i == k:
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S[i, k] = n
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else:
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S[i, k] = -1
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S[i, k] *= Vn**2 * Y[i, k]
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return S
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def delta_select(i, S):
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S = np.delete(S, (i), axis=0)
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S = np.delete(S, (i), axis=1)
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return S
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def power_select(i, P):
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P = np.array(P[:i].tolist() + P[i+1:].tolist())
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return P
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def complete_data(P, delta, i):
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ndelta = np.array(delta[:i].tolist() + [0] + delta[i:].tolist())
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nP = np.array(P[:i].tolist() + [-np.sum(P)] + P[i:].tolist())
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return ndelta, nP
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# Vecteur des puissances
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P = np.array([1000, -500, -250, -250])
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P = P * 1e6 # Passage en MW
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# Création de la matrice d'admitances (dimension n)
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Y = make_Y(4)
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connect_Y(2, 3, 0.1, 0, Y)
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connect_Y(1, 3, 0.15, 0, Y)
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connect_Y(2, 1, 0.05, 0, Y)
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connect_Y(2, 0, 0.05, 0, Y)
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connect_Y(3, 0, 0.05, 0, Y)
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print("Admittance matrix :", Y)
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# Mise en place du système linéaire à résoudre
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S = spec(4, Y, 2e5) # dim n
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S = delta_select(3, S) # dim n-1, sélection de l'angle de transport de référence (delta_3)
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print("System matrix :", S)
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# Sélection des puissances (dimension n-1)
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P = power_select(3, P)
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print("Puissances de référence : ", P)
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# Résolution (dimension n-1)
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invS = np.linalg.inv(S)
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print("Inverse : ", invS)
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# Calcul des angles de transport (dimension n-1)
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delta = np.dot(invS, P)
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# Ajout de l'angle de transport d'origine et de la puissance associée (on repasse en dim n)
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ndelta, nP = complete_data(P, delta, 3)
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print("Power input :", nP)
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print("Delta (rad) :", ndelta * 180 / 3.1415)
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