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Taxing Strategies for Carbon Emissions: A Bilevel Optimization Approach

Author

Listed:
  • Wei Wei

    (State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

  • Yile Liang

    (State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

  • Feng Liu

    (State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

  • Shengwei Mei

    (State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

  • Fang Tian

    (Electric Power Research Institute of China, Beijing 100192, China)

Abstract

This paper presents a quantitative and computational method to determine the optimal tax rate among generating units. To strike a balance between the reduction of carbon emission and the profit of energy sectors, the proposed bilevel optimization model can be regarded as a Stackelberg game between the government agency and the generation companies. The upper-level, which represents the government agency, aims to limit total carbon emissions within a certain level by setting optimal tax rates among generators according to their emission performances. The lower-level, which represents decision behaviors of the grid operator, tries to minimize the total production cost under the tax rates set by the government. The bilevel optimization model is finally reformulated into a mixed integer linear program (MILP) which can be solved by off-the-shelf MILP solvers. Case studies on a 10-unit system as well as a provincial power grid in China demonstrate the validity of the proposed method and its capability in practical applications.

Suggested Citation

  • Wei Wei & Yile Liang & Feng Liu & Shengwei Mei & Fang Tian, 2014. "Taxing Strategies for Carbon Emissions: A Bilevel Optimization Approach," Energies, MDPI, vol. 7(4), pages 1-18, April.
    • Handle: RePEc:gam:jeners:v:7:y:2014:i:4:p:2228-2245:d:34904
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    References listed on IDEAS

    as
    1. Johnson, Kenneth C., 2010. "A decarbonization strategy for the electricity sector: New-source subsidies," Energy Policy, Elsevier, vol. 38(5), pages 2499-2507, May.
    2. Ye Liu & Guohe Huang & Yanpeng Cai & Cong Dong, 2011. "An Inexact Mix-Integer Two-Stage Linear Programming Model for Supporting the Management of a Low-Carbon Energy System in China," Energies, MDPI, vol. 4(10), pages 1-30, October.
    3. Timothy Considine & Donald F. Larson, 2012. "Short Term Electric Production Technology Switching Under Carbon Cap and Trade," Energies, MDPI, vol. 5(10), pages 1-21, October.
    4. Janos Szlavik & Maria Csete, 2012. "Climate and Energy Policy in Hungary," Energies, MDPI, vol. 5(2), pages 1-24, February.
    5. Yong Zeng & Yanpeng Cai & Guohe Huang & Jing Dai, 2011. "A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty," Energies, MDPI, vol. 4(10), pages 1-33, October.
    6. Stavins, Robert N., 2003. "Experience with market-based environmental policy instruments," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 1, chapter 9, pages 355-435, Elsevier.
    7. Yun-Hsun Huang & Jung-Hua Wu, 2009. "Energy Policy in Taiwan: Historical Developments, Current Status and Potential Improvements," Energies, MDPI, vol. 2(3), pages 1-23, August.
    8. Holger Scheel & Stefan Scholtes, 2000. "Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 1-22, February.
    9. Maria Mansanet-Bataller & Ángel Pardo, 2008. "What You Should Know About Carbon Markets," Energies, MDPI, vol. 1(3), pages 1-34, December.
    10. RUIZ, Carlos & CONEJO, Antonio J. & SMEERS, Yves, 2012. "Equilibria in an oligopolistic electricity pool with stepwise offer curves," LIDAM Reprints CORE 2395, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Daojun Chen & Qingwu Gong & Bichang Zou & Xiaohui Zhang & Jian Zhao, 2012. "A Low-Carbon Dispatch Model in a Wind Power Integrated System Considering Wind Speed Forecasting and Energy-Environmental Efficiency," Energies, MDPI, vol. 5(4), pages 1-26, April.
    12. Xian-Chun Tan & Yan-Yan Wang & Bai-He Gu & Ze-Kun Mu & Can Yang, 2011. "Improved Methods for Production Manufacturing Processes in Environmentally Benign Manufacturing," Energies, MDPI, vol. 4(9), pages 1-19, September.
    13. Nathaniel O. Keohane, 2009. "Cap and Trade, Rehabilitated: Using Tradable Permits to Control U.S. Greenhouse Gases," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 3(1), pages 42-62, Winter.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    7. Martelli, Emanuele & Freschini, Marco & Zatti, Matteo, 2020. "Optimization of renewable energy subsidy and carbon tax for multi energy systems using bilevel programming," Applied Energy, Elsevier, vol. 267(C).
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    11. Wei Li & Zhijie Jia, 2017. "Carbon tax, emission trading, or the mixed policy: which is the most effective strategy for climate change mitigation in China?," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 22(6), pages 973-992, August.

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