Open AccessFourier‐series approach to model order reduction and controller interaction analysis of large‐scale power system models
Author(s) -
Rergis Carlos Morales,
Betancourt Ramón Jiménez,
Espejo Emilio Barocio,
Messina Arturo Román
Publication year - 2018
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2017.0465
Subject(s) - fourier series , reduction (mathematics) , model order reduction , computer science , series (stratigraphy) , scale (ratio) , control theory (sociology) , electric power system , fourier analysis , controller (irrigation) , fourier transform , power (physics) , mathematics , algorithm , control (management) , artificial intelligence , physics , projection (relational algebra) , mathematical analysis , paleontology , geometry , quantum mechanics , agronomy , biology
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.