In order to investigate the law of asymmetric operation of six phase cylindrical linear induction motor and in the view of its characteristics of asymmetric operation， the magnetic motive force theory was used to deduce inductance matrix expression of pulsating magnetic field which is independent of the space position in the air gap,. The mathematical models of SCLIM in abc stationary and system simulation models which adopted the implicit trapezoidal rule were established under the Simulink environment. Simulation and experimental results of a SCLIM agree well with each other, which verifies the validity of the proposed model.