| According to a Russian professor's idea, A controllable reactor model with multi control loops has been constituted by this paper. Then based on the Finite Element Method (FEM) and combining with the circuit theory, the mathematical model of nonlinear magnetic field is presented for the numerical analysis of the magnetic field distribution and the inductance of the controllable reactor model.Firstly, the controllable reactor is connected directly with power network, so it is a electromagnetic field inspired by both voltage source and current source. With Finite Element Method and circuit theory, the nonlinear discrete mathematical model of controllable reactor is presented.Secondly, since the controllable reactor is nonlinear, Newton-Raphson Method is applied to solve the nonlinear Finite Element Equations.On the basis of the numerical analysis, the results of discrete mathematical model and compute program presented in this paper are verified by the corresponding experiments. The obtained numerical results show that the controllable reactor can well serve the engineering purpose. |