Fourier‐series approach to model order reduction and controller interaction analysis of large‐scale power system models
| Autor: | R.J. Betancourt, Emilio Barocio Espejo, Arturo Roman Messina, C.M. Rergis |
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| Rok vydání: | 2018 |
| Předmět: |
Model order reduction
0209 industrial biotechnology Dynamical systems theory Computer science 020209 energy Linear system Energy Engineering and Power Technology 02 engineering and technology Transfer function System model Discrete system 020901 industrial engineering & automation Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Fourier series |
| Zdroj: | IET Generation, Transmission & Distribution. 12:1247-1255 |
| ISSN: | 1751-8695 |
| DOI: | 10.1049/iet-gtd.2017.0465 |
| Popis: | In this study, a comprehensive approach for model order reduction based on a Fourier series of a discrete system representation is proposed. The developed method represents an alternative to model reduction of large-scale dynamical systems and can be used for the analysis of unstable dynamic systems and the study of interactions among power system controls. Drawing on the principle of conformal mapping, the linearised system model is first transformed into its discrete equivalent. Then, the Fourier series of the discrete-time transfer function is used to obtain a reduced-order model (ROM). Using this model, approximate Hankel-based interaction measures are proposed to efficiently analyse large, unstable linear system representations and determine pairs of input outputs to design controller. The high degree of applicability and accuracy offered by the method, and its ability to extract ROMs from stable and unstable systems is demonstrated on three test systems. |
| Databáze: | OpenAIRE |
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