Optimal Long-Term Distributed Generation Planning and Reconfiguration of Distribution Systems: An Accelerating Benders’ Decomposition Approach
In this paper, we study the multi-period distributed generation planning problem in a multistage hierarchical distribution network. We first formulate the problem as a non-convex mixed-integer nonlinear programming problem. Since the proposed model is non-convex and generally hard to solve, we conve...
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| Veröffentlicht in: | Journal of optimization theory and applications Jg. 179; H. 1; S. 283 - 310 |
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| Sprache: | Englisch |
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01.10.2018
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| Abstract | In this paper, we study the multi-period distributed generation planning problem in a multistage hierarchical distribution network. We first formulate the problem as a non-convex mixed-integer nonlinear programming problem. Since the proposed model is non-convex and generally hard to solve, we convexify the model based on semi-definite programming. Then, we use a customized Benders’ decomposition method with valid cuts to solve the convex relaxation model. Computational results show that the proposed algorithm provides an efficient way to solve the problem for relatively large-scale networks. |
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| AbstractList | In this paper, we study the multi-period distributed generation planning problem in a multistage hierarchical distribution network. We first formulate the problem as a non-convex mixed-integer nonlinear programming problem. Since the proposed model is non-convex and generally hard to solve, we convexify the model based on semi-definite programming. Then, we use a customized Benders’ decomposition method with valid cuts to solve the convex relaxation model. Computational results show that the proposed algorithm provides an efficient way to solve the problem for relatively large-scale networks. |
| Author | Rabiee, Abbas Pardalos, Panos M. Khodayifar, Salman Raayatpanah, Mohammad A. Rahimian, Hamed |
| Author_xml | – sequence: 1 givenname: Salman orcidid: 0000-0002-8331-3058 surname: Khodayifar fullname: Khodayifar, Salman email: s.khodayifar@iasbs.ac.ir organization: Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS) – sequence: 2 givenname: Mohammad A. surname: Raayatpanah fullname: Raayatpanah, Mohammad A. organization: Faculty of Mathematical Sciences and Computer, Kharazmi University – sequence: 3 givenname: Abbas surname: Rabiee fullname: Rabiee, Abbas organization: Department of Electrical Engineering, University of Zanjan – sequence: 4 givenname: Hamed surname: Rahimian fullname: Rahimian, Hamed organization: Department of Integrated Systems Engineering, The Ohio State University – sequence: 5 givenname: Panos M. surname: Pardalos fullname: Pardalos, Panos M. organization: Department of Industrial and Systems Engineering, Center for Applied Optimization, University of Florida |
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| CitedBy_id | crossref_primary_10_1109_TPWRS_2021_3098771 crossref_primary_10_3390_en15062299 crossref_primary_10_1080_02286203_2024_2363605 crossref_primary_10_1109_TSG_2020_2974922 |
| Cites_doi | 10.1016/j.ins.2014.09.051 10.1109/TPWRS.2015.2402640 10.1109/TPWRS.2005.846219 10.1287/mnsc.20.5.822 10.1016/j.comnet.2012.11.017 10.1016/j.omega.2010.01.005 10.1109/JSTSP.2014.2334275 10.1007/s10479-006-0001-3 10.1016/0045-7906(96)00001-8 10.1016/j.rser.2016.05.056 10.1007/BF00934810 10.1007/BF01386316 10.1109/TPWRS.2014.2322051 10.1016/0377-2217(84)90287-X 10.1287/opre.49.4.531.11226 10.1109/TPWRS.2010.2051168 10.1109/TPWRS.2016.2634586 10.1016/j.energy.2017.02.172 10.1016/j.cor.2003.11.012 10.1287/trsc.34.2.133.12308 10.1007/978-3-642-12686-4 10.1007/s10957-015-0853-2 10.1002/nav.3800160306 10.1016/j.omega.2017.01.011 10.1109/TPWRS.2011.2160974 10.1109/HICSS.2000.926773 10.1002/9781118887004 10.1007/978-0-387-30165-5_25 10.1007/s12667-017-0256-6 |
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| Keywords | Multi-period optimal power flow Benders’ decomposition 90C30 90C11 90C06 Distributed generation 90C27 Combinatorial optimization Non-convex mixed-integer nonlinear programming Semi-definite programming |
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| SubjectTerms | Applications of Mathematics Benders decomposition Calculus of Variations and Optimal Control; Optimization Distributed generation Engineering Mathematics Mathematics and Statistics Nonlinear programming Operations Research/Decision Theory Optimization Production scheduling Reconfiguration Theory of Computation |
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| Title | Optimal Long-Term Distributed Generation Planning and Reconfiguration of Distribution Systems: An Accelerating Benders’ Decomposition Approach |
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