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Dynamic Phasor Anal...
Dynamic Phasor Analysis of Periodic Systems
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- Almér, Stefan (author)
- KTH,Optimeringslära och systemteori
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- Jönsson, Ulf T. (author)
- KTH,Optimeringslära och systemteori
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2009
- 2009
- English.
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In: IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9286 .- 1558-2523. ; 54:8, s. 2007-2012
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- The paper considers stability analysis of linear time-periodic (LTP) systems based on the dynamic phasor model (DPM). The DPM exploits the periodicity of the system by expanding the system state in a Fourier series over a moving time window. This results in an L-2-equivalent representation in terms of an infinite-dimensional LTI system which describes the evolution of time varying Fourier coefficients. To prove stability, we consider quadratic time-periodic Lyapunov candidates. Using the DPM, the corresponding time-periodic Lyapunov inequality can be stated as a finite dimensional inequality and the Lyapunov function can be found by solving a linear matrix inequality.
Keyword
- Dynamic phasor model
- harmonic Lyapunov functions
- linear time-periodic
- systems
- stability analysis
Publication and Content Type
- ref (subject category)
- art (subject category)
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