Power Quality in Power Systems and Electrical Machines, 2nd Edition

Solution to Application Example 7.11

Calculation of the inverse of ${\overline{J}}^0$, that is. ${\left({\overline{J}}^0\right)}^{-1}$.

${\left({\overline{J}}^0\right)}^{-1}=\frac{\mathrm{A}\mathrm{d}\mathrm{j}\left({\overline{J}}^0\right)}{det\left({\overline{J}}^0\right)}\text{,}$

where Adj $\left({\overline{J}}^0\right)$ is the adjoint of matrix ${\overline{J}}^0$ and det$\left({\overline{J}}^0\right)$ = |${\overline{J}}^0$| is the determinant of ${\overline{J}}^0$.

The adjoint of ${\overline{J}}^0$ is obtained by first taking the ...