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Three Winding Mutual Inductance

Owned by Sylvain Ménard
Last updated: Mar 08, 2023
2 min read

This block implements a three winding mutual inductance.

The Three-Winding Mutual Inductor block represents a set of three coupled inductors or windings.

The voltage across the three windings is

where:

  • Vi is voltage across the ith winding.
  • Ii is current through the ith winding.
  • Li is self inductance of the ith winding.
  • Lm is mutual inductance between windings.

In the preceding equations, currents are positive when flowing into the positive node of their respective inductor terminals.

When you run a simulation that includes this block, the software checks the specified parameter values to ensure that the resulting device is passive. If it is not, the software issues an error.

Parameters

Resistance (Rm)The resistance and inductance simulating the core active and reactive losses. 
Inductance (Lm)
Winding 1
Resistance (R1)

The resistance, in pu or ohms, of the primary winding.

Leakage Inductance (L1)

The leakage inductance, in pu or henries, of the primary winding.

Initial current (I1)

The initial current A, in amperes, of the primary winding.

Winding 2
Resistance (R2)

The resistance, in pu or ohms, of the secondary winding.

Leakage Inductance (L2)

The leakage inductance, in pu or henries, of the secondary winding.

Initial current (I2)

The initial current A, in amperes, of the secondary winding.

Winding 3
Resistance (R3)

The resistance, in pu or ohms, of the tertiary winding.

Leakage Inductance (L3)

The leakage inductance, in pu or henries, of the tertiary winding.

Initial current (I3)

The initial current A, in amperes, of the tertiary winding.

Inputs


  • Description of each input

Outputs

  • Description of each output

Electrical ports

  • Description of each electrical port

Characteristics

  • Some time, blocks have special characteristics that need to be explained. 

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