Three Coupled Inductors

Three coupled inductors are implemented as inductors and voltage controlled voltage sources.

Table 1. Three coupled inductors component in HIL Toolbox

component	component dialog window	component parameters
Three coupled inductors		General $L_1$ - inductance $I_{\mathrm{1\_0}}$ - initial current $R_1$ - resistance $L_2$ - inductance $I_{\mathrm{2\_0}}$ - initial current $R_2$ - resistance $L_3$ - inductance $I_{\mathrm{3\_0}}$ - initial current $R_3$ - resistance $k_{\mathrm{12}}$ - $L_1$ and $L_2$ coupling coefficients $k_{\mathrm{13}}$ - $L_1$ and $L_3$ coupling coefficients $k_{\mathrm{23}}$ - $L_2$ and $L_3$ coupling coefficients

Description

Three coupled inductors are represented by matrix $\left[\begin{array}{ccc}L& M& M\\ M& L& M\\ M& M& L\end{array}\right]$ where off diagonal elements are calculated as $M_{ij}=M_{ji}=k_{ij}*\sqrt{L_i*L_j}$