ECE 4501 Power Systems UMD Spring, 2003

QUIZ 1

Given: A voltage waveform is shown to have the following components using spectral analysis:

1. Fundamental – a 60 Hz sinusoid with peak value of 84.9 Volts

2. Third harmonic – a 180 Hz sinusoid with peak value of 28.3 Volts

3. DC – a zero frequency potential of 15 Volts-dc

Find: The True RMS value for this voltage, knowing that Vrms = [(1/T ò v² (t) dt)]^1/2