Linear Transformer (3 Windings)
Purpose
Single-phase transformer with winding resistance and optional core loss
Library
Electrical / Transformers
Description
This transformer models three 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. 214.
Fig. 214 Electrical circuit of a linear transformer (3 windings)
In the transformer symbol, the primary side winding is marked with a little circle. The secondary winding is marked with a dot at the outside terminal, the tertiary winding with a dot at the inside terminal.
Parameters
- Leakage inductance
A three-element vector containing the leakage inductance of the primary side \(L_1\), the secondary side \(L_2\) and the tertiary side \(L_3\). The inductivity is given in henries \((\mathrm{H})\).
- Winding resistance
A three-element vector containing the resistance of the primary winding \(R_1\), the secondary winding \(R_2\) and the tertiary winding \(R_3\), in ohms \((\Omega)\).
- No.of turns
A three-element vector containing the number of turns of the primary winding \(n_1\), the secondary winding \(n_2\) and the tertiary winding \(n_3\).
- 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 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 currents are considered positive if flowing into the transformer at the marked terminals. The default is
[0 0 0].