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FOURIER ANALYSIS OF A SINGLE-PHASE FULL BRIDGE RECTIFIER USING MATLAB

Bruno Osorno

California Sate University Northridge 18111 Nordhoff St Northridge CA 91330 Email: bruno@ecs.csun.edu Phone: (818)677-3956

Abstract

The use of trigonometric Fourier series is applied when repetitive waveforms are found. This situation occurs at the output of full bridge single-phase rectifiers. As it will be seen, the application of a very powerful mathematical technique has given the right solution of a typical electrical engineering circuit. The waveforms analyzed are in their steady-state mode with a repetitive period “T” that depends on the physical electric circuit. [1]. We will indicate that the use of the fundamental signal of a distorted waveform becomes the most important piece of information. This is because in power electronics the calculation of “Power factor”, “Displacement power factor” and “Total Harmonic Distortion” make use of the fundamental value.

Theory and simulation

Non-sinusoidal waveforms, f(t), that have angular frequencies “ω ” can be obtained as:

∞ 1 f (t ) = F0 + ∑ h=1 f h (t ) = a0 + ∑ ∞=1{ah cos( hωt ) + bh sin( hωt )} h 1 2

Where: The average value is: 1 F0 = a0 2 2 The average value of a periodic function is called the “DC value” of that function. The MATLAB statement for the average value of a waveform “v” is:

vdc=mean(v)

“Proceedings of the 2002 American Society for Engineering Education Annual Conference & Exposition Copyright © 2002, American Society for Engineering Education”

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Osorno, B. (2002, June), Application Of Triginometric Fourier Series In Single Phase Rectifiers Paper presented at 2002 Annual Conference, Montreal, Canada. 10.18260/1-2--11230