Environmental Engineering Reference
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tained in Section 4. In assessment of the effectiveness of the method, the
distortion of several periodically switched nonlinear circuits is computed
using the method presented in the chapter and the results are compared
with those obtained from transient-FFT analysis using SPICE in Section
5. The chapter is summarized in Section 6.
1. Fundamentals
1.1 Harmonic Distortion
The harmonic distortion of nonlinear circuits is obtained by applying
a sinusoid to the input of the circuits and computing the harmonics of
the response of the circuits. Consider a nonlinear time-invariant circuit
with the input-output relationship given by
where and are constants, and are the input and output
of the circuit, respectively. To obtain the harmonic distortion, let
we have
The second-order harmonic distortion is obtained from
For circuits with mildly nonlinearities and when the amplitude of the
input is small, we have
Eq.(12.4) is simplified to
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