Linear quadratic regulator design via metaheuristics applied to the damping of low-frequency oscillations in power systems.

Autor: Carvalho L; Department of Engineering and Technology, Federal Rural University of the Semi-Arid Region, Rua Francisco Mota 572, Pres. Costa e Silva, 59625-900 Mossoró, RN, Brazil. Electronic address: francisco.costa32448@alunos.ufersa.edu.br., Neto JRL; Department of Engineering and Technology, Federal Rural University of the Semi-Arid Region, Rua Francisco Mota 572, Pres. Costa e Silva, 59625-900 Mossoró, RN, Brazil. Electronic address: jozias.neto@ee.ufcg.edu.br., Rezende JC; Department of Engineering and Technology, Federal Rural University of the Semi-Arid Region, Rua Francisco Mota 572, Pres. Costa e Silva, 59625-900 Mossoró, RN, Brazil. Electronic address: jefferson.rezende@alunos.ufersa.edu.br., Costa MVS; Department of Engineering and Technology, Federal Rural University of the Semi-Arid Region, Rua Francisco Mota 572, Pres. Costa e Silva, 59625-900 Mossoró, RN, Brazil. Electronic address: marcus.costa@ufersa.edu.br., Fortes EV; Department of Academic Areas, Goiás Federal Institute of Education, Science, and Technology, Av. Presidente Juscelino Kubitschek 775, Residencial Flamboyant, 75804-714 Jataí, GO, Brazil; Department of Electrical Engineering, São Paulo State University, Avenida Brasil 56, Centro, 15385-000 Ilha Solteira, SP, Brazil. Electronic address: elenilson.fortes@ifg.edu.br., Macedo LH; Department of Electrical Engineering, São Paulo State University, Avenida Brasil 56, Centro, 15385-000 Ilha Solteira, SP, Brazil. Electronic address: leohfmp@ieee.org.
Jazyk: angličtina
Zdroj: ISA transactions [ISA Trans] 2023 Mar; Vol. 134, pp. 322-335. Date of Electronic Publication: 2022 Aug 31.
DOI: 10.1016/j.isatra.2022.08.024
Abstrakt: This paper proposes the application of control by state feedback using the linear quadratic regulator (LQR) optimized by metaheuristics to damp low-frequency electromechanical oscillations in electrical power systems. The current sensitivity model was used to represent the single machine infinite bus (SMIB) system in the time domain. The weighting matrices of the LQR were adjusted using four different algorithms: (i) the genetic algorithm, (ii) the differential evolution algorithm, (iii) the particle swarm optimization algorithm, and (iv) the gray wolf optimization (GWO) algorithm. In the cases considered, disturbances were applied to the electrical power system and, then, performances comparisons associated with each metaheuristic were statistically analyzed, in which the number of iterations, error, and time to achieve convergence of each algorithm were compared. From the results, it was possible to conclude that the algorithms were efficient in adjusting the weighting matrices of the LQR, providing additional damping to the poles of interest of the system. It was also possible to conclude that the GWO algorithm presented the best performance, accrediting it as a powerful tool in the study of small-signal stability for the analyzed case.
Competing Interests: Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
(Copyright © 2022 ISA. Published by Elsevier Ltd. All rights reserved.)
Databáze: MEDLINE