Fourier-series approach to model order reduction and controller interaction analysis of large-scale power system models

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...

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Bibliographic Details
Published in:IET generation, transmission & distribution transmission & distribution, 2018-03, Vol.12 (6), p.1247-1255
Main Authors: Rergis, Carlos Morales, Betancourt, Ramón Jiménez, Espejo, Emilio Barocio, Messina, Arturo Román
Format: Article
Language:English
Subjects:
approximate Hankel‐based interaction measures
approximation theory
conformal mapping
conformal mapping principle
control system synthesis
controller design
controller interaction analysis
discrete equivalent
discrete system representation
discrete time systems
discrete‐time transfer function
Fourier series
Fourier series approach
large‐scale dynamical system
large‐scale power system model
linear systems
linearised system model
model order reduction
power system control
reduced order systems
reduced‐order model
Research Article
ROM
transfer functions
unstable dynamic systems analysis
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Summary: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.
ISSN:1751-8687
1751-8695
1751-8695
DOI:10.1049/iet-gtd.2017.0465