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Dynamic Phasor Anal...
Dynamic Phasor Analysis Of Pulse-Modulated Systems
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Almér, Stefan (författare)
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- Jönsson, Ulf (författare)
- KTH,Optimeringslära och systemteori
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2012
- 2012
- Engelska.
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Ingår i: SIAM Journal of Control and Optimization. - : Society for Industrial & Applied Mathematics (SIAM). - 0363-0129 .- 1095-7138. ; 50:3, s. 1110-1138
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- pulse-modulated system
- dynamic phasor model
- stability analysis
- harmonic Lyapunov function
- harmonic transfer function
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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