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Differential Equations and Nonlinear Mechanics
Volume 2006, Article ID 32675, 13 pages

A perturbation-based model for rectifier circuits

Division of Electronics and Communication, Netaji Subhas Institute of Technology, New Delhi 110075, India

Received 29 December 2005; Accepted 2 June 2006

Copyright © 2006 Vipin B. Vats and H. Parthasarathy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A perturbation-theoretic analysis of rectifier circuits is presented. The governing differential equation of the half-wave rectifier with capacitor filter is analyzed by expanding the output voltage as a Taylor series with respect to an artificially introduced parameter in the nonlinearity of the diode characteristic as is done in quantum theory. The perturbation parameter introduced in the analysis is independent of the circuit components as compared to the method presented by multiple scales. The various terms appearing in the perturbation series are then modeled in the form of an equivalent circuit. This model is subsequently used in the analysis of full-wave rectifier. Matlab simulation results are included which confirm the validity of the theoretical formulations. Perturbation analysis acts a helpful tool in analyzing time-varying systems and chaotic systems.