Combined switching harmonics from multiple grid-connected single-phase inverters

The paper is concerned with the manner in which random phase harmonics, and in particular switching harmonics, caused by multiple devices connected to a common single phase supply, combine. Simple cancellation rules are suggested based on probabilistic integrals and Monte Carlo simulation. The analysis is general in that it applies equally to harmonics of all orders (of the fundamental) and to both current sources (generators) and sinks (loads). Formulas for both equal and unequal harmonic magnitudes are presented.