Matrix Inductance

To compute the inductance of the current loop, the simulator calculates the average energy, W_AV, of the system after a field solution is computed:

Because the instantaneous energy of the system is equal to , where the instantaneous value of the current is related to the peak value of the current by i = I_Peakcos(wt + q). The average value for the energy can then be found by integrating the instantaneous energy:

From this, the average energy of the system is equal to

The inductance, therefore is

The software assumes that the object for which impedance is being computed has a peak current of one ampere per coil turn flowing through it. Thus, the inductance is 4W_AV.

The eddy current simulator includes the eddy effect in conductors when it computes inductance during an impedance solution.