Mathematical Model of Variable-length Segmented Linear Induction Motor
The variable length segmented linear induction motor(VLS-LIM)parameters are featured with discontinuous,rapid time-varying,and strong coupling,which poses challenges to transient electromagnetic modeling.This paper introduces three time-varying factors and derives analytical expressions of VLS-LIM with time-varying properties.A mathematical model is established by analyzing the electromagnetic coupling characteristics between the stator and mover and the coupling relationship between the time-varying factors and state variables.Simulation results show that the mathematical model's voltage,current,and speed differ from the finite element calculation by less than 6%,verifying the accuracy of the proposed mathematical model.Hardware-in-the-loop experiments show that the mathematical model accurately characterizes the complex electromagnetic transient under high-speed working conditions,verifying the model's decoupling ability and calculation stability.
variable length segmentedlinear induction motortime-varying factorsdecouplingmathematical model