A multi-objective differential evolution algorithm and a constraint handling mechanism based on variables proportion for dynamic economic emission dispatch problems

Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization problem (MOP) with high dimensional, nonlinear, nonsmooth, and nonconvex, considering the power balance constraints, valve point effects, prohib...

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Bibliographic Details
Published in:Applied soft computing Vol. 108; p. 107419
Main Authors: Qiao, Baihao, Liu, Jing, Hao, Xingxing
Format: Journal Article
Language:English
Published: Elsevier B.V 01.09.2021
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ISSN:1568-4946, 1872-9681
Online Access:Get full text
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Summary:Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization problem (MOP) with high dimensional, nonlinear, nonsmooth, and nonconvex, considering the power balance constraints, valve point effects, prohibited operating zones, and ramp rate limits. Therefore, an efficient multi-objective optimization technology is needed to solve conflicting objectives in the DEED problems. Besides, an efficient constraint handling mechanism is the key step in solving real-world problems. In this paper, a proportional dynamic adjustment decision (PDAD) variables method is proposed to deal with the constraints in the DEED problems by considering the difference in the power generation range of the unit. While, the constraint handling mechanism of the slack variable method is improved, and a dynamic slack variable (DSL) method is proposed. Besides, a non-dominant sorting differential evolution algorithm with a self-adaptive parameter operator and a local search operator (NSDESa_LS) is developed to solve the DEED problems. Finally, the performance of the proposed method is compared with state-of-the-art methods on 5-, 10-, and 40-unit systems. The results show that the proposed NSDESa_LS-PDAD method has a superior performance. •A proportional dynamic adjustment decision (PDAD) variable method is proposed.•The constraint handling mechanism of the slack variable method is improved.•An NSDE with self-adaptive parameters and local search operators is developed.•The performance of the proposed method is verified by 5-, 10-, and 40-unit systems.
ISSN:1568-4946
1872-9681
DOI:10.1016/j.asoc.2021.107419