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A second-order cone model of transmission planning with alternating and direct current lines

Author

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  • Lesage-Landry, Antoine
  • Taylor, Joshua A.

Abstract

We construct a model for transmission planning with both alternating and direct current lines, the latter of which can be interfaced via either line-commutated converters or voltage-source converters. The transmission expansion problem is nonlinear and nonconvex. Thus, nonlinear solvers cannot guarantee their convergence to the global optimum of the problem. We use relaxations and approximations to formulate a mixed-integer second-order cone transmission expansion model, which can be solved to optimality by current industrial solvers. We base our formulation on the branch flow relaxation. We include losses and reactive power placement, and consider direct current lines connected by both line-commutated converters and voltage-sourced converters. We show that our approach lowers the expansion cost on 6-bus and 24-bus system examples. We evaluate the feasibility of our formulation using a semidefinite relaxation of optimal power flow and find that the resulting plan admits feasible or close to feasible power flows.

Suggested Citation

  • Lesage-Landry, Antoine & Taylor, Joshua A., 2020. "A second-order cone model of transmission planning with alternating and direct current lines," European Journal of Operational Research, Elsevier, vol. 281(1), pages 174-185.
    • Handle: RePEc:eee:ejores:v:281:y:2020:i:1:p:174-185
    DOI: 10.1016/j.ejor.2019.08.016
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    Cited by:

    1. Miao Fan & Danna Su & Mohammed Wasim Bhatt & Adarsh Mangal, 2022. "Study on non-linear planning model of green building energy consumption under multi-objective optimization," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 437-443, March.

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