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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Salman Khodayifar & Mohammad A. Raayatpanah & Abbas Rabiee & Hamed Rahimian & Panos M. Pardalos, 2018. "Optimal Long-Term Distributed Generation Planning and Reconfiguration of Distribution Systems: An Accelerating Benders’ Decomposition Approach," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 283-310, October.
  • Handle: RePEc:spr:joptap:v:179:y:2018:i:1:d:10.1007_s10957-018-1367-5
    DOI: 10.1007/s10957-018-1367-5
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    References listed on IDEAS

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    Cited by:

    1. Mahmoud M. Sayed & Mohamed Y. Mahdy & Shady H. E. Abdel Aleem & Hosam K. M. Youssef & Tarek A. Boghdady, 2022. "Simultaneous Distribution Network Reconfiguration and Optimal Allocation of Renewable-Based Distributed Generators and Shunt Capacitors under Uncertain Conditions," Energies, MDPI, vol. 15(6), pages 1-27, March.

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