Computation of induction machine inductances for extended analytical modeling accounting for saturation

In this paper, finite element method is used to compute inductance paramete rs of a squirrel cage induction machine. To take into account saturation ef fect, saturated equivalent parameters are introduced, which depend on the i nstantaneous value of the magnetising current. For a balanced induction mac hine, the particular inductance behaviors allow straightforward flux expres sions without any cross saturation effect. Moreover, these expressions are explained thanks to an extended analytical approach considering a magnetic saliency phenomenon by a second order air-gap permeance, A simple way of tr ansformation ratio and leakage inductance computation is also deduced. The numerical results show the compatibility between finite element approach an d extended analytical Park's method. Besides, two operating points (at no l oad and for nominal speed) studied by the both methods give very closed res ults.