Linear Transformer (2 Windings)

Purpose

Single-phase transformer with winding resistance and optional core loss

Library

Electrical / Transformers

Description

This transformer models two coupled windings on the same core. The magnetizing inductance \(L_{\mathrm{m}}\) and the core loss resistance \(R_{\mathrm{m}}\) are modeled as linear elements. Their values are referred to the primary side. A stiff solver is recommended if \(R_{\mathrm{m}}\) is not infinite.

The electrical circuit for this component is given in Fig. 213.

Fig. 213 Electrical circuit of a linear transformer (2 windings)

In the transformer symbol, the primary side winding is marked with a little circle. The secondary side winding is marked with a dot.

Parameters

Leakage inductance

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

Winding resistance

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

Winding ratio

The ratio \(n_1/n_2\) between the number of turns of the primary and secondary winding.

Magnetizing inductance

The magnetizing inductance \(L_{\mathrm{m}}\), in henries \((\mathrm{H})\). The value is referred to the primary side.

Core loss resistance

An equivalent resistance \(R_{\mathrm{m}}\) representing the iron losses in the transformer core. The value in ohms \((\Omega)\) is referred to the primary side.

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 currents are considered positive if flowing into the transformer at the marked terminals. The default is [0 0].