Optimal switching instants for a switched-capacitor DC/DC power converter |
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| Authors: | R.C. Loxton [Author Vitae] K.L. Teo [Author Vitae] |
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| Affiliation: | a Department of Mathematics and Statistics, Curtin University of Technology, Perth, Australia
b Department of Electronic Engineering, King’s College London, London, United Kingdom |
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| Abstract: | We consider a switched-capacitor DC/DC power converter with variable switching instants. The determination of optimal switching instants giving low output ripple and strong load regulation is posed as a non-smooth dynamic optimization problem. By introducing a set of auxiliary differential equations and applying a time-scaling transformation, we formulate an equivalent optimization problem with semi-infinite constraints. Existing algorithms can be applied to solve this smooth semi-infinite optimization problem. The existence of an optimal solution is also established. For illustration, the optimal switching instants for a practical switched-capacitor DC/DC power converter are determined using this approach. |
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| Keywords: | Power converter Impulsive dynamical system Switched linear system Semi-infinite programming Control parametrization enhancing transform |
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