An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem

Economic Load Dispatch (ELD) is a complicated and demanding problem for power engineers. ELD relates to the minimization of the economic cost of production, thereby allocating the produced power by each unit in the most possible economic manner. In recent years, emphasis has been laid on minimizatio...

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Autores principales:	Mokhtar Said, Ali M. El-Rifaie, Mohamed A. Tolba, Essam H. Houssein, Sanchari Deb
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	chameleon swarm algorithm optimization economic load dispatch combined emission economic dispatch Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/31d0ad22f27c47acab74702659596425
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spelling	oai:doaj.org-article:31d0ad22f27c47acab747026595964252021-11-11T18:18:45ZAn Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem10.3390/math92127702227-7390https://doaj.org/article/31d0ad22f27c47acab747026595964252021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2770https://doaj.org/toc/2227-7390Economic Load Dispatch (ELD) is a complicated and demanding problem for power engineers. ELD relates to the minimization of the economic cost of production, thereby allocating the produced power by each unit in the most possible economic manner. In recent years, emphasis has been laid on minimization of emissions, in addition to cost, resulting in the Combined Economic and Emission Dispatch (CEED) problem. The solutions of the ELD and CEED problems are mostly dominated by metaheuristics. The performance of the Chameleon Swarm Algorithm (CSA) for solving the ELD problem was tested in this work. CSA mimics the hunting and food searching mechanism of chameleons. This algorithm takes into account the dynamics of food hunting of the chameleon on trees, deserts, and near swamps. The performance of the aforementioned algorithm was compared with a number of advanced algorithms in solving the ELD and CEED problems, such as Sine Cosine Algorithm (SCA), Grey Wolf Optimization (GWO), and Earth Worm Algorithm (EWA). The simulated results established the efficacy of the proposed CSA algorithm. The power mismatch factor is the main item in ELD problems. The best value of this factor must tend to nearly zero. The CSA algorithm achieves the best power mismatch values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.16</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4.16</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.28</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> for demand loads of 700, 1000, and 1200 MW, respectively, of the ELD problem. The CSA algorithm achieves the best power mismatch values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.41</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><mo> </mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.92</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><mo> </mo><mi>and</mi><mo> </mo><mn>1.68</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> for demand loads of 700, 1000, and 1200 MW, respectively, of the CEED problem. Thus, the CSA algorithm was found to be superior to the algorithms compared in this work.Mokhtar SaidAli M. El-RifaieMohamed A. TolbaEssam H. HousseinSanchari DebMDPI AGarticlechameleon swarm algorithmoptimizationeconomic load dispatchcombined emissioneconomic dispatchMathematicsQA1-939ENMathematics, Vol 9, Iss 2770, p 2770 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	chameleon swarm algorithm optimization economic load dispatch combined emission economic dispatch Mathematics QA1-939
spellingShingle	chameleon swarm algorithm optimization economic load dispatch combined emission economic dispatch Mathematics QA1-939 Mokhtar Said Ali M. El-Rifaie Mohamed A. Tolba Essam H. Houssein Sanchari Deb An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
description	Economic Load Dispatch (ELD) is a complicated and demanding problem for power engineers. ELD relates to the minimization of the economic cost of production, thereby allocating the produced power by each unit in the most possible economic manner. In recent years, emphasis has been laid on minimization of emissions, in addition to cost, resulting in the Combined Economic and Emission Dispatch (CEED) problem. The solutions of the ELD and CEED problems are mostly dominated by metaheuristics. The performance of the Chameleon Swarm Algorithm (CSA) for solving the ELD problem was tested in this work. CSA mimics the hunting and food searching mechanism of chameleons. This algorithm takes into account the dynamics of food hunting of the chameleon on trees, deserts, and near swamps. The performance of the aforementioned algorithm was compared with a number of advanced algorithms in solving the ELD and CEED problems, such as Sine Cosine Algorithm (SCA), Grey Wolf Optimization (GWO), and Earth Worm Algorithm (EWA). The simulated results established the efficacy of the proposed CSA algorithm. The power mismatch factor is the main item in ELD problems. The best value of this factor must tend to nearly zero. The CSA algorithm achieves the best power mismatch values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.16</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4.16</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.28</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> for demand loads of 700, 1000, and 1200 MW, respectively, of the ELD problem. The CSA algorithm achieves the best power mismatch values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.41</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><mo> </mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.92</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><mo> </mo><mi>and</mi><mo> </mo><mn>1.68</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula> for demand loads of 700, 1000, and 1200 MW, respectively, of the CEED problem. Thus, the CSA algorithm was found to be superior to the algorithms compared in this work.
format	article
author	Mokhtar Said Ali M. El-Rifaie Mohamed A. Tolba Essam H. Houssein Sanchari Deb
author_facet	Mokhtar Said Ali M. El-Rifaie Mohamed A. Tolba Essam H. Houssein Sanchari Deb
author_sort	Mokhtar Said
title	An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
title_short	An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
title_full	An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
title_fullStr	An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
title_full_unstemmed	An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem
title_sort	efficient chameleon swarm algorithm for economic load dispatch problem
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/31d0ad22f27c47acab74702659596425
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An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem

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