115A_1_FourSer

115A_1_FourSer - Fourier analysis of the AC-DC converter...

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Fourier analysis of the AC-DC converter output ripple EE115A Prof. Asad Abidi Arash Mirhaj Jithin Janardhan Oct 1, 2010 The AC-DC converter circuit was analyzed in class. The equivalent current fowing through the diode into the RC network was derived. Its time domain representation and hence the Fourier series representation were approximated because o± the simplicity o± the analysis, as impulse trains (see handouts on the Shah ±unction and its Fourier tran±orm). Therea±ter, it was shown that the output o± the AC-DC converter in the ±requency domain is the ±requency domain impulse train ²ltered by an impedance Z = R 1+ j 2 πfRC which can be approximated by Z ( f f - 3 dB ) = R 1 + j p f f - 3 dB P R j p f f - 3 dB P = 1 j 2 πfC ± = 1 jωC ² ±or ±requencies much greater than the -3dB ±requency o± the impedance Z(±) o± the RC circuit. There±ore, the Fourier series coe³cients o± the output signal are given by a 0 = 1 a m 1 (2 π ( i × f in ) RC ) , m = 1 , 2 , ...
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This note was uploaded on 01/16/2011 for the course EL ENGR 115A taught by Professor Abidi during the Fall '10 term at UCLA.

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115A_1_FourSer - Fourier analysis of the AC-DC converter...

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