Mutual Inductance (2 Windings)

Purpose

Magnetic coupling between two lossy windings

Library

Electrical / Transformers

Description

../../_images/mutind2.svg

This component implements a magnetic coupling between two separate windings. For both windings the self inductance and resistance are specified individually. The mutual inductance and resistance are modeled as linear elements.

The electrical circuit for this component is given in Fig. 215.

../../_images/mutind21.svg

Fig. 215 Electrical circuit for Mutual Inductance (2 Windings).

In the symbol of the mutual inductance, the positive terminal of the primary winding is marked with a little circle. The positive terminal of the secondary winding is marked with a dot.

Parameters

Self inductance

A two-element vector containing the self inductance for the primary winding \(L_1\) and the secondary winding \(L_2\). The inductivity is given in henries \((\mathrm{H})\).

Winding resistance

A two-element vector containing the self resistance of the primary winding \(R_1\) and the secondary winding \(R_2\), in ohms \((\Omega)\).

Mutual inductance

The mutual inductance \(L_{\mathrm{m}}\), in henries \((\mathrm{H})\).

Mutual resistance

The mutual resistance \(R_{\mathrm{m}}\), in ohms \((\Omega)\).

Initial current

A two-element vector containing the initial currents on the primary side \(i_1\) and the secondary side \(i_2\), in amperes \((\mathrm{A})\). The direction of the initial current inside the component is from the positive to the negative terminal. The default value is [0 0].

Probe Signals

Winding i current

The current flowing through winding i, in amperes \((\mathrm{A})\).

Winding i voltage

The voltage measured across winding i, in volts \((\mathrm{V})\).