Linearized Modeling and Controller Design of the Nonlinear Inductors in αβ-frame

The nonlinearity of the inductor affects the stability of the system and the bandwidth of the controller. This paper proposes a linearized method for linearizing the nonlinear inductor in the αβ- frame under given load condition. A current controller design method is also proposed in this paper to adapt the equivalent inductance change. The equivalent inductance of a nonlinear inductor depends on the peak current flowing through the inductor in the αβ-frame but dissociates to the power factor of the output current. Simulation results and experiment results verify the theoretical derivation.