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Appendices

Appendix A

RMS Values of Commonly Observed

Converter Waveforms

The waveforms encountered in power electronics converters can be quite complex, containing modula-

tion at the switching frequency and often also at the ac line frequency. During converter design, it is often

necessary to compute the rms values of such waveforms. In this appendix, several useful formulas and

tables are developed which allow these rms values to be quickly determined.

RMS values of the doubly-modulated waveforms encountered in PWM rectifier circuits are dis-

cussed in Section 18.5.

A.1

SOME COMMON WAVEFORMS

DC, Fig. A.1:

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806

RMS Values of Commonly Observed Converter Waveforms

DC plus linear ripple, Fig. A.2:

Square wave, Fig. A.3:

Sine wave, Fig. A.4:

Pulsating waveform, Fig. A.5:

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A.1 Some Common Waveforms

807

Pulsating waveform with linear ripple, Fig. A.6:

Triangular waveform, Fig. A.7:

Triangular waveform, Fig. A.8:

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808

RMS Values of Commonly Observed Converter Waveforms

Triangular waveform, no dc component, Fig. A.9:

Center-tapped bridge winding waveform, Fig. A.10:

General stepped waveform, Fig. A.11:

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