A single Fourier series technique for the simulation and analysis of asynchronous pulse width modulation in motor drive systems

A generalized single Fourier series description is presented for the simulation and analysis of asynchronous pulsewidth modulation (PWM) in brushless motor drive (BLMD) systems. This simple expedient eliminates the need for very small time steps in resolving the PWM waveform edge transition times, within a switching interval, without loss of simulation accuracy. Graphed simulation data indistinguishable from that for analog comparator circuit implementation is presented for three forms of PWM based on the generalized Fourier series representation. Substantial savings of up to fiftyfold in motor drive simulation time are achieved without impairment to simulation accuracy.