"MNA matrix equation"
MNA matrix equation
Circuit diagram
The MNA matrix equation of the circuit is:
Matrix equation:
\begin{equation}
\left[\begin{matrix}0\\0\\0\\0\\0\\0\\0\end{matrix}\right]=\left[\begin{matrix}- L_{g} s & 0 & 0 & 1 & 0 & 0 & 0\\0 & 0 & 0 & -1 & 1 & 0 & 0\\0 & 0 & - R_{s} & 0 & -1 & 0 & 1\\1 & -1 & 0 & 0 & 0 & 0 & 0\\0 & 1 & -1 & 0 & 0 & 0 & 0\\0 & 0 & 0 & 0 & 0 & C_{a} s + C_{b} s + \frac{1}{R_{b}} + \frac{1}{R_{a}} & - C_{a} s - \frac{1}{R_{a}}\\0 & 0 & 1 & 0 & 0 & - C_{a} s - \frac{1}{R_{a}} & C_{a} s + \frac{1}{R_{a}}\end{matrix}\right]\cdot\left[\begin{matrix}I_{L1}\\I_{V1}\\I_{R1}\\V_{N001}\\V_{P001}\\V_{scope}\\V_{tip}\end{matrix}\right]
\end{equation}