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Mutual Inductor

Purpose

Mutual inductor.

Library

Passive Components

Description

pict

This component provides two or more coupled inductors. Electrically, it is equivalent with a vectorized Inductor. In contrast to the vectorized Inductor, this component displays the individual inductors in the schematic as separate windings.

In the symbol of the mutual inductor, the positive terminal of winding 1 is marked with a little circle. The positive terminals of all other windings are marked with dots.

Parameters and Dialog Box

[Picture]

Number of windings
The number of ideal inductors represented by the component.
Inductance
The inductance in henries (H). All finite positive and negative values are accepted, including 0.

If the parameter is a scalar or a vector no coupling exists between the windings. In order to model a magnetic coupling between the windings a square matrix must be entered. The size n   of the matrix corresponds to the number of windings. Li   is the self inductance of the internal inductor and Mi,j   the mutual inductance:

⌊    ⌋    ⌊                      ⌋  ⌊     ⌋
  v1         L1   M1,2  ⋅⋅⋅ M1,n      ddti1
|| v2 ||    || M2,1   L2   ⋅⋅⋅ M2,n ||  || ddti2 ||
|⌈  .. |⌉ =  |⌈   ..     ..   ..    ..  |⌉ ⋅|⌈  ..  |⌉
   .          .     .    .    .       d.
  vn        Mn,1  Mn,2  ⋅⋅⋅  Ln       dtin

Initial current
The initial current in the windings at simulation start, in amperes (A). This parameter may either be a scalar or a vector corresponding to the number of windings. The direction of the initial current inside the component is from the positive to the negative terminal. The default of the initial current is 0.

Probe Signals

Winding i current
The current flowing through winding i. The direction of a positive current is indicated with a small arrow in the component symbol.