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Dynamic Phasor Analysis Of Pulse-Modulated Systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2012 (English)In: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 50, no 3, 1110-1138 p.Article in journal (Refereed) Published
Abstract [en]

This paper considers stability and harmonic analysis of a general class of pulse-modulated systems. The systems are modeled using the dynamic phasor model, which explores the cyclic nature of the modulation functions by representing the system state as a Fourier series expansion defined over a moving time window. The contribution of the paper is to show that a special type of periodic Lyapunov function can be used to analyze the system and that the analysis conditions become tractable for computation after truncation. The approach provides a trade-off between complexity and accuracy that includes standard state space averaged models as a special case. The paper also shows how the dynamic phasor model can be used to derive a frequency domain input-to-state map which is analogous to the harmonic transfer function.

Place, publisher, year, edition, pages
2012. Vol. 50, no 3, 1110-1138 p.
Keyword [en]
pulse-modulated system, dynamic phasor model, stability analysis, harmonic Lyapunov function, harmonic transfer function
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-99438DOI: 10.1137/090762142ISI: 000305961400003ScopusID: 2-s2.0-84865527510OAI: diva2:542099
Swedish Research CouncilICT - The Next Generation

QC 20120730

Available from: 2012-07-30 Created: 2012-07-30 Last updated: 2013-04-11Bibliographically approved

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Jönsson, Ulf
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