Mutual Inductance (3 Windings)
Purpose
Magnetic coupling between three lossy windings
Library
Electrical / Transformers
Description
This component implements a magnetic coupling between three separate windings. For all 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. 216.
Fig. 216 Electrical circuit for Mutual Inductance (3 Windings).
In the symbol of the mutual inductance, the positive terminal of the primary winding is marked with a little circle. The positive terminals of the secondary and tertiary windings are marked with dots.
Parameters
- Self inductance
A three-element vector containing the self inductance for the primary winding \(L_1\), the secondary winding \(L_2\), and the tertiary winding \(L_3\). The inductivity is given in henries \((\mathrm{H})\).
- Winding resistance
A three-element vector containing the self resistance of the primary winding \(R_1\), the secondary winding \(R_2\), and the tertiary winding \(R_3\), 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 three-element vector containing the initial currents on the primary side \(i_1\), the secondary side \(i_2\), and the tertiary side \(i_3\), 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 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 \((\mathrm{V})\).