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A Mixed-Integer Second-Order Cone Programming Algorithm for the Optimal Power Distribution of AC-DC Parallel Transmission Channels

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  • Shunjiang Lin

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Zhibin Yang

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Guansheng Fan

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Mingbo Liu

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Sen He

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Zhiqiang Tang

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Yunong Song

    (School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

Abstract

For the controllability of the transmission power of DC transmission channels, the optimal power distribution (OPD) of AC-DC parallel transmission channels is an effective measure for improving the economic operation of an AC-DC interconnected power grid. A dynamic optimal power flow model for day-ahead OPD of AC-DC parallel transmission channels is established in this paper. The power flow equation constraints of an AC-DC interconnected power grid and the constraints of the discrete regulation requirement of the transmission power of DC channels are considered, which make the OPD model of the AC-DC parallel transmission channels a mixed-integer nonlinear non-convex programming (MINNP) model. Through a cone relaxation transformation and a big M method equivalent transformation, the non-convex terms in the objective function and constraints are executed with the convex relaxation, and the MINNP model is transformed into a mixed-integer second-order cone programming model that can be solved reliably and efficiently using the mature optimization solver GUROBI. Taking an actual large-scale AC-DC interconnected power grid as an example, the results show that the OPD scheme of the AC-DC parallel transmission channels obtained by the proposed algorithm can effectively improve the economical operation of an AC-DC interconnected power grid.

Suggested Citation

  • Shunjiang Lin & Zhibin Yang & Guansheng Fan & Mingbo Liu & Sen He & Zhiqiang Tang & Yunong Song, 2019. "A Mixed-Integer Second-Order Cone Programming Algorithm for the Optimal Power Distribution of AC-DC Parallel Transmission Channels," Energies, MDPI, vol. 12(19), pages 1-16, September.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:19:p:3605-:d:269335
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    References listed on IDEAS

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    1. Bai, Yang & Zhong, Haiwang & Xia, Qing & Kang, Chongqing & Xie, Le, 2015. "A decomposition method for network-constrained unit commitment with AC power flow constraints," Energy, Elsevier, vol. 88(C), pages 595-603.
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