A perturbation-based model for rectifier circuits
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 di...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/32675 |
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| _version_ | 1832558784321421312 |
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| author | Vipin B. Vats H. Parthasarathy |
| author_facet | Vipin B. Vats H. Parthasarathy |
| author_sort | Vipin B. Vats |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2aeb89335fd647609cb080e38830d1b8 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-2aeb89335fd647609cb080e38830d1b82025-02-03T01:31:35ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/3267532675A perturbation-based model for rectifier circuitsVipin B. Vats0H. Parthasarathy1Division of Electronics and Communication, Netaji Subhas Institute of Technology, New Delhi 110075, IndiaDivision of Electronics and Communication, Netaji Subhas Institute of Technology, New Delhi 110075, IndiaA 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.http://dx.doi.org/10.1155/DENM/2006/32675 |
| spellingShingle | Vipin B. Vats H. Parthasarathy A perturbation-based model for rectifier circuits Differential Equations and Nonlinear Mechanics |
| title | A perturbation-based model for rectifier circuits |
| title_full | A perturbation-based model for rectifier circuits |
| title_fullStr | A perturbation-based model for rectifier circuits |
| title_full_unstemmed | A perturbation-based model for rectifier circuits |
| title_short | A perturbation-based model for rectifier circuits |
| title_sort | perturbation based model for rectifier circuits |
| url | http://dx.doi.org/10.1155/DENM/2006/32675 |
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