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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 flowing through the diode into the RC network was derived. Its time domain representation and hence the Fourier series representation were approximated because of the simplicity of the analysis, as impulse trains (see handouts on the Shah function and its Fourier tranform). Thereafter, it was shown that the output of the AC-DC converter in the frequency domain is the frequency domain impulse train filtered by an impedance Z = R 1+ j 2 πfRC which can be approximated by Z ( f f - 3 dB ) = R 1 + j parenleftBig f f - 3 dB parenrightBig R j parenleftBig f f - 3 dB parenrightBig = 1 j 2 πfC parenleftbigg = 1 jωC parenrightbigg for frequencies much greater than the -3dB frequency of the impedance Z(f) of the RC circuit. Therefore, the Fourier series coefficients of the output signal are given by a 0 = 1 a m 1 (2 π ( i × f in ) RC ) , m

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

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