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Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems

1
Department of Electrical & Electronic Engineering, City, University of London, London EC1V 0HB, UK
2
Department of Electrical & Electronic Engineering Educators, School of Pedagogical & Technological Education, ASPETE, 14121 Athens, Greece
*
Author to whom correspondence should be addressed.
Energies 2019, 12(14), 2664; https://doi.org/10.3390/en12142664
Received: 16 June 2019 / Revised: 6 July 2019 / Accepted: 9 July 2019 / Published: 11 July 2019
(This article belongs to the Special Issue Modern Power System Dynamics, Stability and Control)
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Abstract

Load frequency control (LFC) is one of the most challenging problems in multi-area power systems. In this paper, we consider power system formed of distinct control areas with identical dynamics which are interconnected via weak tie-lines. We then formulate a disturbance rejection problem of power-load step variations for the interconnected network system. We follow a top-down method to approximate a centralized linear quadratic regulator (LQR) optimal controller by a distributed scheme. Overall network stability is guaranteed via a stability test applied to a convex combination of Hurwitz matrices, the validity of which leads to stable network operation for a class of network topologies. The efficiency of the proposed distributed load frequency controller is illustrated via simulation studies involving a six-area power system and three interconnection schemes. In the study, apart from the nominal parameters, significant parametric variations have been considered in each area. The obtained results suggest that the proposed approach can be extended to the non-identical case. View Full-Text
Keywords: multi-area power system; large-scale power system; distributed load frequency control; automatic generation control; interconnected control areas; secondary frequency control; distributed linear quadratic regulator; distributed optimal control multi-area power system; large-scale power system; distributed load frequency control; automatic generation control; interconnected control areas; secondary frequency control; distributed linear quadratic regulator; distributed optimal control
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Vlahakis, E.; Dritsas, L.; Halikias, G. Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems. Energies 2019, 12, 2664.

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