Characterization and Selection of Probability Statistical Parameters in Random Slope PWM Based on Uniform Distribution

To deal with the uncertain relationship between random variables and harmonic spectrum in existing random pulse width modulation, this paper links the uniformly distributed random carrier sequence (RCS) probabilistic parameters with harmonic distributed in the frequency domain, offers an approach to selecting a random carrier sequence. Based on random slope PWM (RSPWM), the formula for 3-dB bandwidth of harmonic power spectrum is deduced. Then some useful conclusions are also drawn under random carrier sequence obeying uniform distribution. The 3-dB bandwidth formula leads to a method of selecting the main probability statistical parameters. The method has laid a theoretical foundation for the design and selection of random variables in random PWM, provided scientific reference for the study of random PWM technology which is used to reduce electromagnetic interference and mechanical vibration.