13.11 POWER AND POWER FACTOR IN AC SYSTEM WITH DISTORTED WAVEFORMS

Let v(t) and i(t) be the voltage across an electrical element and current through that element under periodic steady-state conditions in an AC system working under distorted waveform conditions. Both v(t) and i(t) are expressed in the form of trigonometric Fourier series below where ω0 is the fundamental radian frequency of the system. AC system voltages and currents usually do not contain any DC component under steady-state and hence DC components are not included in these Fourier series.

 

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Vn and ɸvn represent the r.m.s value of nth harmonic component of voltage and its phase. ...

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