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To extend the field application of numerical simulation, it is necessary in many applications to consider the electric circuit. Usually the magnetic equations are solved using the 3D finite element method which implies the solution of a non‐linear equations system. To solve the electric circuit equations a mesh or a state variable method can be used. It may be noted that the electric equation system obtained with these methods can also be non‐linear in presence of semi‐conductor components in the electric circuit. If the interaction between the magnetic and electric circuits is important both non‐linear matrix systems must be solved simultaneously.