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The objective of this paper is to find the best values that will represent the system under study as a whole. This problem can be seen as an optimization problem. To find its feasible and optimal solution, this work proposes a new metaheuristics multi-objective based on the Lion Algorithm (LA), called the Multi-Objective Lion Algorithm (MOLA), and its application in the estimation of parameters of the system under study. In addition, the new metaheuristic proposed is validated by using a set of benchmark cases. The results have demonstrated that MOLA outperforms or at least performs similarly to Multi-objective Grey Wolf Optimizer (MOGWO), Multiple Objective Particle Swarm Optimization (MOPSO), Multi-objective Salp Swarm Algorithm (MSSA), Multiobjective Evolutionary Algorithm Based on Decomposition (MOEA\/D), and Non-dominated Sorting Genetic Algorithm III (NSGA-III) in the optimization of multi-objective benchmark functions. These results, suggest that the proposed MOLA algorithm works efficiently.<\/jats:p>","DOI":"10.3233\/jifs-232155","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T12:12:15Z","timestamp":1690546335000},"page":"6391-6412","source":"Crossref","is-referenced-by-count":0,"title":["Parameter estimation of the hydraulic turbine regulator system using multi-objective lion algorithm"],"prefix":"10.1177","volume":"45","author":[{"given":"Mariane Gavioli","family":"Bergamini","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Electrical Engineering Graduate Program, Federal University of Paran\u00e1, Curitiba, Brazil"}]},{"given":"Gustavo H.C.","family":"Oliveira","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Electrical Engineering Graduate Program, Federal University of Paran\u00e1, Curitiba, Brazil"}]},{"given":"Eduardo P.","family":"Ribeiro","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Electrical Engineering Graduate Program, Federal University of Paran\u00e1, Curitiba, Brazil"}]},{"given":"Gideon Villar","family":"Leandro","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Electrical Engineering Graduate Program, Federal University of Paran\u00e1, Curitiba, Brazil"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-232155_ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s40313-021-00767-0"},{"key":"10.3233\/JIFS-232155_ref2","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/j.epsr.2016.02.022","article-title":"Semi-physical piecewise affine representation for governors in hydropower system generation, }","volume":"136","author":"Donaisky","year":"2016","journal-title":"Electric Power Systems Research"},{"key":"10.3233\/JIFS-232155_ref3","doi-asserted-by":"publisher","first-page":"754","DOI":"10.1007\/s40313-019-00481-y","article-title":"Mitigating oscillations in hydraulic pumping systems by using a supplementary damping controller","volume":"30","author":"Rocha","year":"2019","journal-title":"Journal of Control, Automation and Electrical Systems"},{"key":"10.3233\/JIFS-232155_ref4","unstructured":"Aguirre L.A. , Introdu\u00e7\u00e3o \u00e0 Identifica\u00e7\u00e3o deSistemas: T\u00e9cnicas Lineares e N\u00e3o Lineares Aplicadas a Sistemas Reais. 3 ed. 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