Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution
The optimal power flow problem is one of the most widely used problems in power system optimizations, which are multi-modal, non-linear, and constrained optimization problems. Effective constrained optimization methods can be considered in tackling the optimal power flow problems. In this paper, an...
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/5/1250 |
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| author | Wenchao Yi Zhilei Lin Youbin Lin Shusheng Xiong Zitao Yu Yong Chen |
| author_facet | Wenchao Yi Zhilei Lin Youbin Lin Shusheng Xiong Zitao Yu Yong Chen |
| author_sort | Wenchao Yi |
| collection | DOAJ |
| description | The optimal power flow problem is one of the most widely used problems in power system optimizations, which are multi-modal, non-linear, and constrained optimization problems. Effective constrained optimization methods can be considered in tackling the optimal power flow problems. In this paper, an <inline-formula><math display="inline"><semantics><mi>ϵ</mi></semantics></math></inline-formula>-constrained method-based adaptive differential evolution is proposed to solve the optimal power flow problems. The <inline-formula><math display="inline"><semantics><mi>ϵ</mi></semantics></math></inline-formula>-constrained method is improved to tackle the constraints, and a <i>p</i>-best selection method based on the constraint violation is implemented in the adaptive differential evolution. The single and multi-objective optimal power flow problems on the IEEE 30-bus test system are used to verify the effectiveness of the proposed and improved <inline-formula><math display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>adaptive differential evolution algorithm. The comparison between state-of-the-art algorithms illustrate the effectiveness of the proposed and improved <inline-formula><math display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>adaptive differential evolution algorithm. The proposed algorithm demonstrates improvements in nine out of ten cases. |
| first_indexed | 2024-03-11T07:17:45Z |
| format | Article |
| id | doaj.art-89bb5298558042b4b2fd11bb8881754d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T07:17:45Z |
| publishDate | 2023-03-01 |
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| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-89bb5298558042b4b2fd11bb8881754d2023-11-17T08:10:17ZengMDPI AGMathematics2227-73902023-03-01115125010.3390/math11051250Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential EvolutionWenchao Yi0Zhilei Lin1Youbin Lin2Shusheng Xiong3Zitao Yu4Yong Chen5College of Energy Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaZhejiang Chuangxin Automative Air Conditioning Company, Lishui 323799, ChinaCollege of Energy Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Energy Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaThe optimal power flow problem is one of the most widely used problems in power system optimizations, which are multi-modal, non-linear, and constrained optimization problems. Effective constrained optimization methods can be considered in tackling the optimal power flow problems. In this paper, an <inline-formula><math display="inline"><semantics><mi>ϵ</mi></semantics></math></inline-formula>-constrained method-based adaptive differential evolution is proposed to solve the optimal power flow problems. The <inline-formula><math display="inline"><semantics><mi>ϵ</mi></semantics></math></inline-formula>-constrained method is improved to tackle the constraints, and a <i>p</i>-best selection method based on the constraint violation is implemented in the adaptive differential evolution. The single and multi-objective optimal power flow problems on the IEEE 30-bus test system are used to verify the effectiveness of the proposed and improved <inline-formula><math display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>adaptive differential evolution algorithm. The comparison between state-of-the-art algorithms illustrate the effectiveness of the proposed and improved <inline-formula><math display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>adaptive differential evolution algorithm. The proposed algorithm demonstrates improvements in nine out of ten cases.https://www.mdpi.com/2227-7390/11/5/1250adaptive differential evolutionoptimal power flowconstrained optimization problems |
| spellingShingle | Wenchao Yi Zhilei Lin Youbin Lin Shusheng Xiong Zitao Yu Yong Chen Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution Mathematics adaptive differential evolution optimal power flow constrained optimization problems |
| title | Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution |
| title_full | Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution |
| title_fullStr | Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution |
| title_full_unstemmed | Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution |
| title_short | Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution |
| title_sort | solving optimal power flow problem via improved constrained adaptive differential evolution |
| topic | adaptive differential evolution optimal power flow constrained optimization problems |
| url | https://www.mdpi.com/2227-7390/11/5/1250 |
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