Four Coupled Inductors

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

Table 1. Four coupled inductors component in the Schematic Editor core library

component	component dialog window	component parameters
Four 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 $L_4$ - inductance $I_{\mathrm{4\_0}}$ - initial current $R_4$ - resistance $k_{\mathrm{12}}$ - $L_1$ and $L_2$ coupling coefficients $k_{\mathrm{13}}$ - $L_1$ and $L_3$ coupling coefficients $k_{\mathrm{14}}$ - $L_1$ and $L_4$ coupling coefficients $k_{\mathrm{23}}$ - $L_2$ and $L_3$ coupling coefficients $k_{\mathrm{24}}$ - $L_2$ and $L_4$ coupling coefficients $k_{\mathrm{34}}$ - $L_3$ and $L_4$ coupling coefficients

Description

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