Wireless Power Wiki

We consider two coils with inductances $L_1$ and $L_2$, coupled by mutual inducance $M$. In series, capacitors $C_1$ and $C_2$ are added to the circuit. The resistive losses of the circuit are represented by the resistances $R_1$ and $R_2$.

The impedance matrix of the circuit is given by:

\begin{align} Z = \begin{bmatrix} z_{11} & z_{12} \\ z_{21} & z_{22} \\ \end{bmatrix}= \begin{bmatrix} R_1+j\omega L_1+\frac{1}{j \omega C_1} & j \omega M \\ j \omega M & R_2+j\omega L_2 +\frac{1}{j \omega C_2}\\ \end{bmatrix} \end{align}

with $\omega$ the angular frequency.

We apply an input voltage $V_{in}$ at the left. The resulting voltage $V_{out}$ at the right is called the output voltage.