This paper introduces the fundamental theory of complementary FEM and combines complementary FEM with energy methods to calculate electromagnetic field, especially to compute the electromagnetic parameters of the electromagnetic devices.At first, according with the fundamental theory of complementary variational method, the complementary FEM is constructed by the introduction of T - Q to satisfy the equation ofSecondly. A finite element formulation (direct method) is developed to analyse the magnetic fields in constrained electrical circuits by combining field and circuit equations..Then, the complementary FEM based on the introduction of T - Q is verified by the case study.Finally, combining the complementary FEM and direct method, analyse the electromagnetic field and parameter of controllable reactor. The obtained results show that the complementary FEM can be applied with satisfactory accuracy in the computation of parameters of electromagnetic devices.
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