Solving the capacitor placement problem in radial distribution networks
The optimal capacitor allocation problem is suggested in this article. This study purposes to maximize the voltage stability, minimize the power losses, and consolidate the annual net savings. Calculating the optimal locations and sizes of fixed and switched capacitors is done in two steps. The firs...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123022005400 |
| _version_ | 1797961083883880448 |
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| author | Menna Allah El-sayed Mohamed El-Saeed Amal Farouk Abdel-Gwaad Mohamed AbdEl-fattah Farahat |
| author_facet | Menna Allah El-sayed Mohamed El-Saeed Amal Farouk Abdel-Gwaad Mohamed AbdEl-fattah Farahat |
| author_sort | Menna Allah El-sayed Mohamed El-Saeed |
| collection | DOAJ |
| description | The optimal capacitor allocation problem is suggested in this article. This study purposes to maximize the voltage stability, minimize the power losses, and consolidate the annual net savings. Calculating the optimal locations and sizes of fixed and switched capacitors is done in two steps. The first step is using the fuzzy expert rules in calculating the most candidate buses for capacitor allocation. While the second step is using a nondominated sorting genetic algorithm II (NSGA-II) in determining the list of Pareto optimal solutions and then applying a fuzzy decision maker to pick the most compromise. To emphasize the effectiveness of the proposed method, radial distribution systems are proposed; IEEE 33-bus system and the actual Portuguese IEEE 94-bus system. To demonstrate the strength and applicability of this method, a multiobjective water cycle algorithm (MOWCA), multiobjective grey wolf optimizer (MOGWO), and other optimizers used in the published papers are used. From simulation and analysis, the proposed NSGA-II outperforms other optimizers considered for comparison in achieving the maximum percentages of minimization in a real power loss of 32.369% and 31.1011% for the 33-bus system and 25.6296% and 25.3027% for the 94-bus system, the maximum percentages of minimization in a reactive power loss of 31.7916% and 30.4948% for 33-bus system and 25.9457% and 25.8001% for the 94-bus system, the maximum annual net savings of 23,612 $ and 23,131 $ for the 33-bus system for fixed and switched capacitors, respectively, and boosting the total voltage stability, which show its superior ability to give high-grade solutions. |
| first_indexed | 2024-04-11T00:54:54Z |
| format | Article |
| id | doaj.art-e4a4682daf674a3a89fd8ebf2d3f3523 |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-04-11T00:54:54Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-e4a4682daf674a3a89fd8ebf2d3f35232023-01-05T06:47:39ZengElsevierResults in Engineering2590-12302023-03-0117100870Solving the capacitor placement problem in radial distribution networksMenna Allah El-sayed Mohamed El-Saeed0Amal Farouk Abdel-Gwaad1Mohamed AbdEl-fattah Farahat2Department of Electrical Power and Machines Engineering, Zagazig University, Zagazig, 44519, Egypt; Corresponding author.Faculty of Computers and Informatics, Zagazig University, Zagazig, 44519, EgyptDepartment of Electrical Power and Machines Engineering, Zagazig University, Zagazig, 44519, EgyptThe optimal capacitor allocation problem is suggested in this article. This study purposes to maximize the voltage stability, minimize the power losses, and consolidate the annual net savings. Calculating the optimal locations and sizes of fixed and switched capacitors is done in two steps. The first step is using the fuzzy expert rules in calculating the most candidate buses for capacitor allocation. While the second step is using a nondominated sorting genetic algorithm II (NSGA-II) in determining the list of Pareto optimal solutions and then applying a fuzzy decision maker to pick the most compromise. To emphasize the effectiveness of the proposed method, radial distribution systems are proposed; IEEE 33-bus system and the actual Portuguese IEEE 94-bus system. To demonstrate the strength and applicability of this method, a multiobjective water cycle algorithm (MOWCA), multiobjective grey wolf optimizer (MOGWO), and other optimizers used in the published papers are used. From simulation and analysis, the proposed NSGA-II outperforms other optimizers considered for comparison in achieving the maximum percentages of minimization in a real power loss of 32.369% and 31.1011% for the 33-bus system and 25.6296% and 25.3027% for the 94-bus system, the maximum percentages of minimization in a reactive power loss of 31.7916% and 30.4948% for 33-bus system and 25.9457% and 25.8001% for the 94-bus system, the maximum annual net savings of 23,612 $ and 23,131 $ for the 33-bus system for fixed and switched capacitors, respectively, and boosting the total voltage stability, which show its superior ability to give high-grade solutions.http://www.sciencedirect.com/science/article/pii/S2590123022005400Capacitor placementDistribution networksFuzzy logicNSGA-IIPareto optimization |
| spellingShingle | Menna Allah El-sayed Mohamed El-Saeed Amal Farouk Abdel-Gwaad Mohamed AbdEl-fattah Farahat Solving the capacitor placement problem in radial distribution networks Results in Engineering Capacitor placement Distribution networks Fuzzy logic NSGA-II Pareto optimization |
| title | Solving the capacitor placement problem in radial distribution networks |
| title_full | Solving the capacitor placement problem in radial distribution networks |
| title_fullStr | Solving the capacitor placement problem in radial distribution networks |
| title_full_unstemmed | Solving the capacitor placement problem in radial distribution networks |
| title_short | Solving the capacitor placement problem in radial distribution networks |
| title_sort | solving the capacitor placement problem in radial distribution networks |
| topic | Capacitor placement Distribution networks Fuzzy logic NSGA-II Pareto optimization |
| url | http://www.sciencedirect.com/science/article/pii/S2590123022005400 |
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