Abstract: To deal with the uncertain relationship between random factors and the power spectrum (PS) of output voltage in the random pulse width modulation strategy, this paper analyzes the probability distribution of pseudo-random binary sequence (PRBS) in random position SVPWM and random period SVPWM. The relationship between the probability parameters in the sequence and the harmonic distribution in the frequency domain is established based on the theory of random processes. The mathematical expression of the PS of the PRBS following a discrete uniform distribution is derived, and the intrinsic connection between the PS and the PRBS is revealed. Then, Mersenne Twister is proposed to construct the PRBS generator, which improves the performance of the linear feedback shift register with short cycle time and poor randomness. The effect of different pseudo-random number generators on the suppression of switching frequency harmonics in the PS is compared through simulation and experiment. The results verify the correctness of the proposed method, thus providing a reference for the study of random SVPWM to improve power converter noise and vibration.