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Dynamic and Steady-State Analysis of Switching Power Converters Made Easy: Complementarity Formalism

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Dynamics and Control of Switched Electronic Systems

Part of the book series: Advances in Industrial Control ((AIC))

Abstract

Power electronics converters represent an interesting class of switched nonlinear circuits. Switchings of electronic devices can be classified as external if forced by directly manipulable control variables, and internal if determined by state dependent conditions. The presence of internal switchings makes it difficult to know a priori the sequence of modes and also open loop steady-state behaviours are difficult to obtain. In this chapter, it is shown how linear complementarity systems can be used to model the behaviour of a wide class of power converters. The complementarity framework is suitable for modelling piecewise-linear characteristics of diodes and controlled electronic switches. The combination of such models with a state-space representation of the circuit allows obtaining a model of the power converter which is valid for any operating mode. The discretization of this model allows the formulation of a static complementarity problem whose solution provides the steady-state oscillation of the converter, either in open or closed-loop. Throughout the chapter, the usefulness of the complementarity formalism for the analysis of power converters is shown by considering three challenging examples: a DC–DC voltage-mode pulse-width modulated boost converter, a resonant converter and a switched capacitors converter are used as examples.

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Authors and Affiliations

  1. Department of Engineering, University of Sannio, Piazza Roma 21, 82100, Benevento, Italy

    Gianluca Angelone, Francesco Vasca & Luigi Iannelli

  2. Institute of Mathematics and Computer Science, University of Groningen, 9700 AV, Groningen, The Netherlands

    Kanat Camlibel

Authors
  1. Gianluca Angelone
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  2. Francesco Vasca
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  3. Luigi Iannelli
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  4. Kanat Camlibel
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Corresponding author

Correspondence to Gianluca Angelone .

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Editors and Affiliations

  1. Dipartimento di Ingegneria, Grace: Group for Research, Università del Sannio in Benevento, Piazza Roma 21, Benevento, 82100, Italy

    Francesco Vasca

  2. Dipartimento di Ingegneria, GRACE - Group for Research, Università del Sannio in Benevento, Piazza Roma 21, Benevento, 82100, Italy

    Luigi Iannelli

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Angelone, G., Vasca, F., Iannelli, L., Camlibel, K. (2012). Dynamic and Steady-State Analysis of Switching Power Converters Made Easy: Complementarity Formalism. In: Vasca, F., Iannelli, L. (eds) Dynamics and Control of Switched Electronic Systems. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2885-4_7

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  • DOI: https://doi.org/10.1007/978-1-4471-2885-4_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2884-7

  • Online ISBN: 978-1-4471-2885-4

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