The authors present a rigorous theoretical harmonic analysis of random puls
e width modulation (RPWM) method and random pulse position modulation (RPPM
) method for de-de converters. The theoretical relationships of discrete ha
rmonics, continuous noise and output voltage ripple of the RPWM and RPPM sc
hemes are established and compared with those of a standard deterministic P
WM scheme in a buck converter. Limitations in the randomly switched de-de c
onverters are highlighted. The theoretical predictions indicate that the ra
ndomized schemes generally have an inherent problem in achieving low output
voltage ripple due to the low-frequency continuous noise within the pass-b
and of the converter filter. For dc-dc power conversion, the RPPM method of
fers much better output voltage performance than the RPWM method.