def powerflowreact(model, i):
if i in gb:
return model.Qg[i]-Qd[i] == sum(model.vm[i]*model.vm[j]*abs(y[i, j]) *
sin(model.va[i] - model.va[j] - ang(y[i, j])) for j in range(nb))
else:
return sum(model.vm[i]*model.vm[j]*abs(y[i, j]) * sin(model.va[i] - model.va[j] -
ang(y[i, j])) for j in range(nb)) == -Qd[i]
def qto(model, i):
if i in tp:
return model.Qt[i] == model.vm[to[i]] ** 2 * abs(yft[i]) * np.sin(-ang(yft[i])) - \
model.vm[to[i]] * model.vm[fr[i]] * abs(yk[i]) / model.tr[i] * \
sin(model.va[to[i]] - model.va[fr[i]] - ang(yk[i]))
else:
return model.Qt[i] == model.vm[to[i]] ** 2 * abs(yft[i]) * np.sin(-ang(yft[i])) - \
model.vm[to[i]] * model.vm[fr[i]] * abs(yk[i]) / tr0[i] * \
sin(model.va[to[i]] - model.va[fr[i]] - ang(yk[i]))
def powerflowreact(model, i):
bfrom_i = tp[find(fr[tp] == i)] # branches from bus i with transformer
bto_i = tp[find(to[tp] == i)] # branches to bus i with transformer
allbut_i = find(bus[:, BUS_I] != i) # Set of other buses
sh = sd[find(sd == i)] # Detect shunt elements
if i in gb:
return model.Qg[i]-Qd[i] == \
sum(model.vm[i] * model.vm[j] * abs(y[i, j]) *
sin(model.va[i] - model.va[j] - ang(y[i, j])) for j in allbut_i) - \
sum(model.vm[i] * model.vm[to[j]] * abs(yk[j]) * sin(model.va[i] - model.va[to[j]] - ang(yk[j]))
* (1 / model.tr[j] - 1) for j in bfrom_i) - \
sum(model.vm[i] * model.vm[fr[j]] * abs(yk[j]) * sin(model.va[i] - model.va[fr[j]] - ang(yk[j]))
* (1 / model.tr[j] - 1) for j in bto_i) + \
model.vm[i] ** 2 * (sum(abs(yk[j]) * (1 / model.tr[j] ** 2 - 1) * np.sin(- ang(yk[j]))
for j in bfrom_i) - imag(y[i, i]) - sum(model.Bs[j] for j in sh))
else:
return sum(model.vm[i] * model.vm[j] * abs(y[i, j]) *
sin(model.va[i] - model.va[j] - ang(y[i, j])) for j in allbut_i) - \
sum(model.vm[i] * model.vm[to[j]] * abs(yk[j]) * sin(model.va[i] -
model.va[to[j]] - ang(yk[j])) * (1 / model.tr[j] - 1) for j in bfrom_i) - \
sum(model.vm[i] * model.vm[fr[j]] * abs(yk[j]) * sin(model.va[i] -
model.va[fr[j]] - ang(yk[j])) * (1 / model.tr[j] - 1) for j in bto_i) + \
model.vm[i] ** 2 * (sum(abs(yk[j]) * (1 / model.tr[j] ** 2 - 1) * np.sin(- ang(yk[j]))
for j in bfrom_i) - imag(y[i, i]) - sum(model.Bs[j] for j in sh)) == - Qd[i]
def qto(model, i):
return model.Qt[i] == model.vm[to[i]] ** 2 * abs(yft[i]) * np.sin(-ang(yft[i])) - \
model.vm[to[i]] * model.vm[fr[i]] * abs(yk[i]) * \
sin(model.va[to[i]] - model.va[fr[i]] - ang(yk[i]))
def qfrom(model, i):
return model.Qf[i] == model.vm[fr[i]] ** 2 * abs(yft[i]) / (tr[i] ** 2) * np.sin(-ang(yft[i])) - \
model.vm[fr[i]] * model.vm[to[i]] * abs(yk[i]) * \
sin(model.va[fr[i]] - model.va[to[i]] - ang(yk[i]))