A computational method for converter analysis using point symmetries

Volume 9, Issue 6, pp 4877--4887 http://dx.doi.org/10.22436/jnsa.009.06.123

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Authors

Richard O. Ocaya - Department of Physics, University of the Free-State, P. Bag X13 Phuthaditjhaba 9866, South Africa.

Abstract

The one-parameter point transformation method is applied to clarify the use of symmetries to describe the effects of additive uncertainties on the state-space solutions of an affine control system. The trajectory of the solution in the presence of general, bounded uncertainties gives an idea of system robustness. The boost converter is used for illustration. A specific symmetry is computed under uncertainties and its effects on a possible solution are investigated. A comparison of the method with other state-space methods shows that it is an excellent approach if developed further.

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Keywords

• Lie point symmetries
• boost converter
• robustness
• state-space
• infinitesimal generator.

MSC

•  70G65
•  93C70
•  93C10
•  93C15

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