Analysis and synthesis of random modulation schemes for power converters

Issues in analysis and synthesis of random modulation schemes applied to power converters are addressed. After establishing that the proper objects of study are the power spectra of signals, the authors classify random modulation schemes and present associated spectral formulae, several of which are new. A novel switching scheme based on Markov chains that enables explicit ripple control is also analyzed. Experimental verifications of some of the analytical results are presented. The authors formulate narrow and wideband synthesis problems in random modulation, and solve them numerically. The results suggest that random modulation is very effective in satisfying narrowband constraints, but has limited effectiveness in meeting broadband power constraints