Optimal Long-Term Distributed Generation Planning and Reconfiguration of Distribution Systems: An Accelerating Benders’ Decomposition Approach

Salman Khodayifar (), Mohammad A. Raayatpanah (), Abbas Rabiee (), Hamed Rahimian () and Panos M. Pardalos ()
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Salman Khodayifar: Institute for Advanced Studies in Basic Sciences (IASBS)
Mohammad A. Raayatpanah: Kharazmi University
Abbas Rabiee: University of Zanjan
Hamed Rahimian: The Ohio State University
Panos M. Pardalos: University of Florida

Journal of Optimization Theory and Applications, 2018, vol. 179, issue 1, No 14, 283-310

Abstract: 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.

Keywords: Combinatorial optimization; Distributed generation; Multi-period optimal power flow; Non-convex mixed-integer nonlinear programming; Semi-definite programming; Benders’ decomposition; 90C11; 90C06; 90C30; 90C27 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1367-5

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