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Usually, the back electromotive force (BEMF) of brushless direct current motor (BLDCM) is not the ideal trapezoidal wave. In order to construct the simulation model of the BLDCM with non-ideal BEMF, the BEMF waveform in an electrical period is analyzed, based on the characteristic that the BEMF waveform is periodic. The BEMF waveform meets the Dirichlet condition, and a method to model the BLDCM with non-ideal BEMF based on Fourier series is presented. The modeling method is applied in MATLAB to build the BLDCM with non-ideal BEMF. Finally, with this non-ideal BEMF model, the torque ripple of different BLDCM driving modes is simulated and the simulation results are analyzed and compared, which provides a reference for non-ideal BLDCM drive design.