A perturbation-based model for rectifier circuits. (4th December 2006)

• Record Type: Journal Article
• Authors: Vats Vats, Vipin B. Vipin B.; Parthasarathy Parthasarathy, H. H.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2006/2006)
• Publication Date: 2006-12-04
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/DENM/2006/32675
• Languages: English
• ISSNs: 1687-4099

Abstract

Abstract : 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.