Computing an Impedance Matrix

Maxwell breaks down the impedance matrix computation into two parts. First, it solves for the inductance matrix (L-matrix) associated with the model. It then solves for the resistance matrix (R-matrix). When it finishes solving for these matrices, the simulator combines them to form the impedance matrix, using the relationship Z=R + jwL.

To compute the inductance and resistance matrices for the impedance solution, the simulator generates an eddy-current field solution for each conductor in the matrix.

In the first solution, the current in the first conductor is set to one ampere; currents in the other conductors that are included in the impedance matrix are set to zero. This is done by imposing current sources on the conductors.

In the second solution, the current in the second conductor is set to one ampere, and all other conductors that are included in the impedance matrix are set to zero amperes, and so forth. Conductors that are not included in the impedance matrix are not affected.

Related Topics 

Matrix Inductance

Matrix Resistance

Inductance and Resistance in Impedance Computations