A Mathematical Theory of Full-wave Rectification |
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Authors: | KRIEGSMANN GREGORY A |
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Institution: |
Department of Engineering Sciences and Applied Mathematics, The Technological Institute, Northwestern University Evanston, Ill. 60201, U.S.A.
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Abstract: | The results of a systematic asymptotic analysis of two basicfull-wave rectifier circuits are presented in this paper. Thephysical circuits are modelled by two systems of nonlinear differentialequations which are both singularly perturbed in the limit RC![->](http://imamat.oxfordjournals.org/math/rarr.gif) .Here is the angular frequency of the source, R is the resistanceof the load, and C is the capacitance of the circuit. The methodof multiple scales is used to construct the asymptotic behaviourof the solutions as RC![->](http://imamat.oxfordjournals.org/math/rarr.gif) . The results contain transient, ripple,and steady-state information. The latter two components simplifyand yield the standard results when the diodes' forward impedanceis small. The analysis of more complicated full-wave rectifiersfollows from the procedure described. |
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