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

© The Institution of Engineering and Technology
Received 22/03/2017, Accepted 14/09/2017, Revised 07/09/2017, Published 18/09/2017

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.

Inspec keywords: Fourier series; approximation theory; control system synthesis; transfer functions; discrete time systems; conformal mapping; reduced order systems; power system control; linear systems

Other keywords: unstable dynamic systems analysis; power system control; controller interaction analysis; approximate Hankel-based interaction measures; discrete equivalent; conformal mapping principle; reduced-order model; Fourier series approach; model order reduction; ROM; controller design; large-scale power system model; discrete-time transfer function; discrete system representation; large-scale dynamical system; linearised system model

Subjects: Discrete control systems; Linear control systems; Power system control; Interpolation and function approximation (numerical analysis); Control system analysis and synthesis methods; Interpolation and function approximation (numerical analysis); Control of electric power systems

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