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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.
Details
; Raayatpanah, Mohammad A 2 ; Rabiee, Abbas 3 ; Rahimian, Hamed 4 ; Pardalos, Panos M 5 1 Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran
2 Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
3 Department of Electrical Engineering, University of Zanjan, Zanjan, Iran
4 Department of Integrated Systems Engineering, The Ohio State University, Columbus, OH, USA
5 Department of Industrial and Systems Engineering, Center for Applied Optimization, University of Florida, Gainesville, FL, USA





