This information is part of the Modelica Standard Library maintained by the Modelica Association.
The ideal transformer is a two-port circuit element;
in case of Boolean parameter
considerMagnetization = false it is characterized by the following equations:
i2 = -i1*n; v2 = v1/n;
n is a real number called the turns ratio.
Due to this equations, also DC voltages and currents are transformed - which is not the case for technical transformers.
In case of Boolean parameter
considerMagnetization = true it is characterized by the following equations:
im1 = i1 + i2/n "Magnetizing current w.r.t. primary side"; psim1= Lm1*im1 "Magnetic flux w.r.t. primary side"; v1 = der(psim1) "Primary voltage"; v2 = v1/n "Secondary voltage";
Lm denotes the magnetizing inductance.
Due to this equations, the DC offset of secondary voltages and currents decrement according to the time constant defined by the connected circuit.
L1sigma and secondary
L2ssigma leakage inductances into account,
compared with the basic transformer
the following parameter conversion can be applied (which leads to identical results):
L1 = L1sigma + M*n "Primary inductance at secondary no-load"; L2 = L2sigma + M/n "Secondary inductance at primary no-load"; M = Lm1/n "Mutual inductance";
For the backward conversion, one has to decide about the partitioning of the leakage to primary and secondary side.
Description: Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
Description: Negative pin of the left port
Description: Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
Description: Negative pin of the right port
Description: Turns ratio primary:secondary voltage
Description: Choice of considering magnetization
Type: Inductance (H)
Description: Magnetization inductance w.r.t. primary side
Transformer circuit to show the magnetization facilities
Multiphase ideal transformer