A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources
In this paper, a modified Rao-2 (MRao-2) algorithm is proposed to solve the problem of optimal power flow (OPF) in a power system incorporating renewable energy sources (RES). Quasi-oppositional and Levy flight methods are used to improve the performance of the Rao algorithm. To demonstrate effectiv...
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/13/1532 |
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| author | Mohamed H. Hassan Salah Kamel Ali Selim Tahir Khurshaid José Luis Domínguez-García |
| author_facet | Mohamed H. Hassan Salah Kamel Ali Selim Tahir Khurshaid José Luis Domínguez-García |
| author_sort | Mohamed H. Hassan |
| collection | DOAJ |
| description | In this paper, a modified Rao-2 (MRao-2) algorithm is proposed to solve the problem of optimal power flow (OPF) in a power system incorporating renewable energy sources (RES). Quasi-oppositional and Levy flight methods are used to improve the performance of the Rao algorithm. To demonstrate effectiveness of the MRao-2 technique, it is tested on two standard test systems: an IEEE 30-bus system and an IEEE 118-bus system. The objective function of the OPF is the minimization of fuel cost in five scenarios. The IEEE 30-bus system reflects fuel cost minimization in three scenarios (without RES, with RES, and with RES under contingency state), while the IEEE 118-bus system reflects fuel cost minimization in two scenarios (without RES and with RES). The achieved results of various scenarios using the suggested MRao-2 technique are compared with those obtained using five recent techniques: Atom Search Optimization (ASO), Turbulent Flow of Water-based Optimization (TFWO), Marine Predators Algorithm (MPA), Rao-1, Rao-3 algorithms, as well as the conventional Rao-2 algorithm. Those comparisons confirm the superiority of the MRao-2 technique over those other algorithms in solving the OPF problem. |
| first_indexed | 2024-03-10T09:57:18Z |
| format | Article |
| id | doaj.art-fe60cfc333c2419f9998238900596efd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:57:18Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fe60cfc333c2419f9998238900596efd2023-11-22T02:14:51ZengMDPI AGMathematics2227-73902021-06-01913153210.3390/math9131532A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy SourcesMohamed H. Hassan0Salah Kamel1Ali Selim2Tahir Khurshaid3José Luis Domínguez-García4Electrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, EgyptElectrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, EgyptElectrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, EgyptElectrical Engineering Department, Yeungnam University, Gyeongsan 38541, KoreaIREC Catalonia Institute for Energy Research, Jardins de les Dones de Negre 1, 2a, 08930 Sant Adrià de Besòs, Barcelona, SpainIn this paper, a modified Rao-2 (MRao-2) algorithm is proposed to solve the problem of optimal power flow (OPF) in a power system incorporating renewable energy sources (RES). Quasi-oppositional and Levy flight methods are used to improve the performance of the Rao algorithm. To demonstrate effectiveness of the MRao-2 technique, it is tested on two standard test systems: an IEEE 30-bus system and an IEEE 118-bus system. The objective function of the OPF is the minimization of fuel cost in five scenarios. The IEEE 30-bus system reflects fuel cost minimization in three scenarios (without RES, with RES, and with RES under contingency state), while the IEEE 118-bus system reflects fuel cost minimization in two scenarios (without RES and with RES). The achieved results of various scenarios using the suggested MRao-2 technique are compared with those obtained using five recent techniques: Atom Search Optimization (ASO), Turbulent Flow of Water-based Optimization (TFWO), Marine Predators Algorithm (MPA), Rao-1, Rao-3 algorithms, as well as the conventional Rao-2 algorithm. Those comparisons confirm the superiority of the MRao-2 technique over those other algorithms in solving the OPF problem.https://www.mdpi.com/2227-7390/9/13/1532modified Rao algorithmrenewable energy sourcesfuel cost minimizationoptimal power flow |
| spellingShingle | Mohamed H. Hassan Salah Kamel Ali Selim Tahir Khurshaid José Luis Domínguez-García A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources Mathematics modified Rao algorithm renewable energy sources fuel cost minimization optimal power flow |
| title | A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources |
| title_full | A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources |
| title_fullStr | A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources |
| title_full_unstemmed | A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources |
| title_short | A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources |
| title_sort | modified rao 2 algorithm for optimal power flow incorporating renewable energy sources |
| topic | modified Rao algorithm renewable energy sources fuel cost minimization optimal power flow |
| url | https://www.mdpi.com/2227-7390/9/13/1532 |
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