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In this paper, a method permitting the determination of saturated inductances in synchronous machines as function of time is proposed. A numerical procedure using the finite element method is used to determine expressions of the inductances from the field distribution in the machine. These expressions are introduced in the variable coefficient differential equations of the machine. These equations are solved, using step-by-step numerical integration. Numerical applications are given for three types of machines, salient poles, non salient poles and permanent magnet machines.
Piriou et al. (Tue,) studied this question.