Forced oscillations of nonlinear circuits

Louis A. Pipes · Transactions of the American Institute of Electrical Engineers Part I Communication and Electronics · 1954

The method of undetermined coefficients is applied to the solution of typical nonlinear electric circuit problems of importance in electrical engineering. This method is shown to give useful approximate values for the amplitudes and phases of the forced oscillations of the nonlinear circuits considered. The effects of bias potentials on the amplitudes of the oscillations are also determined. The utility of the method is illustrated by applying it to the analysis of forced oscillations of a nonlinear inductor, a saturable reactor, a nonlinear capacitor, and a series-connected magnetic amplifier.

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