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Distributed LQR design for identical dynamically coupled systems: Application to load frequency control of multi-area power grid

Vlahakis, E. E. ORCID: 0000-0002-7039-5314, Dritsas, L. and Halikias, G. ORCID: 0000-0003-1260-1383 (2019). Distributed LQR design for identical dynamically coupled systems: Application to load frequency control of multi-area power grid. Proceedings of the IEEE Conference on Decision and Control, 2019-D, pp. 4471-4476. doi: 10.1109/CDC40024.2019.9028865

Abstract

The paper proposes a distributed LQR method for the solution to regulator problems of networks composed of dynamically dependent agents. It is assumed that these dynamical couplings among agents can be expressed in a state-space form of a certain structure. Following a top-down approach we approximate a centralized LQR optimal controller by a distributed scheme the stability of which is guaranteed via a stability test applied to convex combination of Hurwitz matrices. The method is applied to N-identical-area power grid where a distributed state-feedback Load Frequency Controller (LFC) is proposed to achieve frequency regulation under power demand variations. An illustrative numerical example demonstrates the applicability of the method.

Publication Type: Article
Additional Information: © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
Date Deposited: 27 Apr 2020 15:18
URI: https://openaccess.city.ac.uk/id/eprint/24070
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