Justification of a stochastic model for a DC-DC boost converter

In this paper, we perform an analysis on random effects of a switching pulse-width modulated (PWM) DC-DC boost converter. Theoretical background regarding probability distribution of random noise due to existing disturbances is provided. An experimental study is performed to measure and characterize random noise on system parameters. Experimental results show that the characteristics of random noise in the converter are Gaussian. A new model is proposed to include the noise effects using stochastic differential equations. We verify the proposed model by Monte Carlo simulation. Error analysis is performed on obtained simulation results compared with the experimental results.