http://www.iec.ch/TC57/CIM#SynchronousMachineEquivalentCircuit
Class cim:SynchronousMachineEquivalentCircuit
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The electrical equations for all variations of the synchronous models are based on the SynchronousEquivalentCircuit diagram for the direct and quadrature axes.
Equations for conversion between Equivalent Circuit and Time Constant Reactance forms:
Xd = Xad + Xl
Xd = Xl + Xad * Xfd / (Xad + Xfd)
Xd = Xl + Xad * Xfd * X1d / (Xad * Xfd + Xad * X1d + Xfd * X1d)
Xq = Xaq + Xl
Xq = Xl + Xaq * X1q / (Xaq+ X1q)
Xq = Xl + Xaq * X1q* X2q / (Xaq * X1q + Xaq * X2q + X1q * X2q)
Tdo = (Xad + Xfd) / (omega0 * Rfd)
Tdo = (Xad * Xfd + Xad * X1d + Xfd * X1d) / (omega0 * R1d * (Xad + Xfd)
Tqo = (Xaq + X1q) / (omega0 * R1q)
Tqo = (Xaq * X1q + Xaq * X2q + X1q * X2q)/ (omega0 * R2q * (Xaq + X1q)
Same equations using CIM attributes from SynchronousMachineTimeConstantReactance class on left of = sign and SynchronousMachineEquivalentCircuit class on right (except as noted):
xDirectSync = xad + RotatingMachineDynamics.statorLeakageReactance
xDirectTrans = RotatingMachineDynamics.statorLeakageReactance + xad * xfd / (xad + xfd)
xDirectSubtrans = RotatingMachineDynamics.statorLeakageReactance + xad * xfd * x1d / (xad * xfd + xad * x1d + xfd * x1d)
xQuadSync = xaq + RotatingMachineDynamics.statorLeakageReactance
xQuadTrans = RotatingMachineDynamics.statorLeakageReactance + xaq * x1q / (xaq+ x1q)
xQuadSubtrans = RotatingMachineDynamics.statorLeakageReactance + xaq * x1q* x2q / (xaq * x1q + xaq * x2q + x1q * x2q)
tpdo = (xad + xfd) / (2*pi*nominal frequency * rfd)
tppdo = (xad * xfd + xad * x1d + xfd * x1d) / (2*pi*nominal frequency * r1d * (xad + xfd)
tpqo = (xaq + x1q) / (2*pi*nominal frequency * r1q)
tppqo = (xaq * x1q + xaq * x2q + x1q * x2q)/ (2*pi*nominal frequency * r2q * (xaq + x1q).
Are only valid for a simplified model where "Canay" reactance is zero.
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- as domain (cim:SynchronousMachineEquivalentCircuit.x1d, cim:SynchronousMachineEquivalentCircuit.r1q, cim:SynchronousMachineEquivalentCircuit.xf1d, cim:SynchronousMachineEquivalentCircuit.rfd, cim:SynchronousMachineEquivalentCircuit.x1q, cim:SynchronousMachineEquivalentCircuit.xad, cim:SynchronousMachineEquivalentCircuit.xfd, cim:SynchronousMachineEquivalentCircuit.x2q, cim:SynchronousMachineEquivalentCircuit.xaq, cim:SynchronousMachineEquivalentCircuit.r2q, cim:SynchronousMachineEquivalentCircuit.r1d)
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