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Mapping between transmission constraint penalty factor and OPF solution in electricity markets: analysis and fast calculation

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  • Yang, Zhifang
  • Zhong, Haiwang
  • Lin, Wei
  • Lin, Jeremy
  • Chen, Yonghong
  • Xia, Qing
  • Liu, Wentao
  • Zhang, Xuan

Abstract

-- In electricity markets, transmission constraint relaxation is frequently used to ensure the feasibility of the optimal power flow (OPF) problem and avoid the expensive yet ineffective congestion adjustment. However, transmission constraint penalty factors have a considerable impact on the market scheduling and prices. There is still no consensus on how to properly set the penalty factors. In this paper, the impact of transmission constraint penalty factors on the market solution is quantitatively investigated via the sensitivity analysis of the DC OPF model. Parametric programming is performed to determine the change of the market scheduling and prices with respect to the change of penalty factors. In particular, we prove for the very first time that when the objective function of the market model is quadratic, the parametric programming can be conveniently performed without the need of re-optimizing the DC OPF model in most cases. On this basis, an efficient method is proposed for exactly characterizing the mapping between the penalty factors and the market solution. Case studies show that the proposed method could be up to 100 times quicker than re-optimizing the DC OPF model as in the traditional parametric programming process.

Suggested Citation

  • Yang, Zhifang & Zhong, Haiwang & Lin, Wei & Lin, Jeremy & Chen, Yonghong & Xia, Qing & Liu, Wentao & Zhang, Xuan, 2019. "Mapping between transmission constraint penalty factor and OPF solution in electricity markets: analysis and fast calculation," Energy, Elsevier, vol. 168(C), pages 1181-1191.
    • Handle: RePEc:eee:energy:v:168:y:2019:i:c:p:1181-1191
    DOI: 10.1016/j.energy.2018.11.048
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    References listed on IDEAS

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    1. Kharrati, Saeed & Kazemi, Mostafa & Ehsan, Mehdi, 2016. "Equilibria in the competitive retail electricity market considering uncertainty and risk management," Energy, Elsevier, vol. 106(C), pages 315-328.
    2. Jennifer La'O & Luigi Iovino, 2017. "Informationally Sticky Nominal Wages," 2017 Meeting Papers 1517, Society for Economic Dynamics.
    3. Fitiwi, Desta Z. & Olmos, L. & Rivier, M. & de Cuadra, F. & Pérez-Arriaga, I.J., 2016. "Finding a representative network losses model for large-scale transmission expansion planning with renewable energy sources," Energy, Elsevier, vol. 101(C), pages 343-358.
    4. Martin D. D. Evans & Richard K. Lyons, 2017. "Informational Integration and FX Trading," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 7, pages 291-324, World Scientific Publishing Co. Pte. Ltd..
    5. Liu, Haifeng & Tesfatsion, Leigh & Chowdhury, A.A., 2009. "Locational Marginal Pricing Basics for Restructured Wholesale Power Markets," ISU General Staff Papers 200901010800001031, Iowa State University, Department of Economics.
    6. Nezamoddini, Nasim & Wang, Yong, 2016. "Risk management and participation planning of electric vehicles in smart grids for demand response," Energy, Elsevier, vol. 116(P1), pages 836-850.
    7. Assembayeva, Makpal & Egerer, Jonas & Mendelevitch, Roman & Zhakiyev, Nurkhat, 2018. "A spatial electricity market model for the power system: The Kazakhstan case study," Energy, Elsevier, vol. 149(C), pages 762-778.
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