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Bilevel transmission expansion planning using second-order cone programming considering wind investment

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  • Zolfaghari, Saeed
  • Akbari, Tohid

Abstract

This paper presents a new framework for bi-level multi-stage transmission expansion planning (TEP) considering wind investment. In the upper-level problem, the transmission and wind investment decisions are modeled, while in the lower-level problem, the market-clearing problem based on the alternating current-optimal power flow (AC-OPF) is formulated. Since the lower-level optimization problem is nonconvex, the second-order cone programming (SOCP) is applied to convexify this problem. Afterwards, the Karush-Kuhn-Tucker (KKT) optimality conditions are employed in order to convert the bi-level problem into a single-level problem. Due to the convexity of the lower-level problem, the KKT conditions are both necessary and sufficient. The whole problem is then solved by a commercial and powerful solver. To show the effectiveness and applicability of the proposed scheme, it is applied to two power systems, namely, IEEE 24-bus RTS and IEEE 118-bus. The numerical results illustrate the efficient performance of the proposed method. Furthermore, the results obtained from the AC-OPF-based market-clearing problem are compared with those obtained from the direct current-optimal power flow (DC-OPF)-based market-clearing problem, and the comparative analysis indicates that the latter may lead to inaccurate solutions.

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  • Zolfaghari, Saeed & Akbari, Tohid, 2018. "Bilevel transmission expansion planning using second-order cone programming considering wind investment," Energy, Elsevier, vol. 154(C), pages 455-465.
    • Handle: RePEc:eee:energy:v:154:y:2018:i:c:p:455-465
    DOI: 10.1016/j.energy.2018.04.136
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    References listed on IDEAS

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    Cited by:

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    2. Huang, Qian & Xu, Jiuping, 2020. "Bi-level multi-objective programming approach for carbon emission quota allocation towards co-combustion of coal and sewage sludge," Energy, Elsevier, vol. 211(C).
    3. Mohamed M. Refaat & Shady H. E. Abdel Aleem & Yousry Atia & Ziad M. Ali & Adel El-Shahat & Mahmoud M. Sayed, 2021. "A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints," Mathematics, MDPI, vol. 9(21), pages 1-21, November.
    4. Dagoumas, Athanasios S. & Koltsaklis, Nikolaos E., 2019. "Review of models for integrating renewable energy in the generation expansion planning," Applied Energy, Elsevier, vol. 242(C), pages 1573-1587.
    5. Kyung-Taek Kim & Deok-Joo Lee & Donghyun An, 2020. "Real Option Valuation of the R&D Investment in Renewable Energy Considering the Effects of the Carbon Emission Trading Market: A Korean Case," Energies, MDPI, vol. 13(3), pages 1-17, February.
    6. Adel F. Alrasheedi & Ahmad M. Alshamrani & Khalid A. Alnowibet, 2023. "Investing in Wind Energy Using Bi-Level Linear Fractional Programming," Energies, MDPI, vol. 16(13), pages 1-14, June.

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