(K) Mutual Inductor Coupling Statement

Kname L1name L2name <L3name <...>> k

The mutual inductor coupling models magnetic coupling between two or more inductors.

  • Kname is the unique identifier for the coupling.

  • L1name, L2name, etc. are the names of the inductors to be coupled.

  • k is the coupling coefficient, where \(0 \leq k \leq 1\).

    • \(k = 0\) means no coupling (inductors are independent)

    • \(k = 1\) means perfect coupling (ideal transformer)

    • typical values \(0.95\) to \(0.99\)

The mutual inductance \(M\) between inductors is calculated as:

\[M = k \sqrt{L_1 \cdot L_2}\]

For coupling more than two inductors, the same coupling coefficient \(k\) applies to all pairs.

Examples

L1 n1 n2 100u
L2 n3 n4 400u
K1 L1 L2 0.98

L1 n1 n2 100u
L2 n3 n4 400u
L3 n5 n6 900u
K1 L1 L2 L3 0.95