Abstract
This paper aims to model and analyze the torque ripple induced by the spatial harmonics in a brushless DC (BLDC) motor. At first, a general mathematical model of BLDC motor is introduced, which assumes an ideal trapezoidal back-EMF. Afterwards, the improved back-EMF model including the spatial harmonics is derived using mathematical equations. Back-EMF tests are conducted on a laboratory BLDC motor to obtain the actual harmonic components for the improved back-EMF model. Moreover, the harmonics in the phase currents are also included in the proposed model to analyze the produced torque ripple in a BLDC motor driven by a 120-degree conduction based three-phase inverter. Simulation studies are conducted to analyze the torque ripple of the laboratory BLDC motor based on the proposed model and the ideal trapezoidal back-EMF model. In the simulation, the drive system of a BLDC motor is also modeled, such that the commutation torque ripple is included, which can yield precise torque waveforms for the analysis of torque ripple in a BLDC motor.
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