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Three Winding Mutual Inductance

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Three Winding Mutual Inductance

Owned by Sylvain Ménard
Last updated: May 15, 2025 by Fabien Ducat

This block implements a three winding mutual inductance.

image-20250225-180005.png

The Three-Winding Mutual Inductor block represents a set of three coupled inductors. The voltage across the three windings is

 

where:

  • Vi is voltage across the ith winding;

  • Ii is current through the ith winding;

  • Ri is resistance of the ith winding;

  • Rm is mutual resistance between windings;

  • 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.

Parameters

Winding 1

Winding 1

Resistance (R1)

The resistance, in ohms, of the primary winding.

Self-inductance (L1)

The self-inductance, in henries, of the primary winding.

Winding 2

Resistance (R2)

The resistance, in ohms, of the secondary winding.

Self-inductance (L2)

The self-inductance, in henries, of the secondary winding.

Winding 3

Resistance (R3)

The resistance, in ohms, of the tertiary winding.

Self-inductance (L3)

The self-inductance, in henries, of the tertiary winding.

Mutual

Resistance (Rm)

The mutual resistance, in ohms.

Inductance (Lm)

The mutual inductance, in henries.

 

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