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Penalty Based Control Mechanism for Strategic Prosumers in a Distribution Network

Author

Listed:
  • Arnob Ghosh

    (Indian Institute of Technology-Delhi, Mechanical Engineering Department, Bharti School of Telecom Technology and Management, Delhi 110016, India)

  • Vaneet Aggarwal

    (Purdue University, School of Industrial Engineering and School of Electrical and Computer Engineering, West Lafayette, IN 47907, USA)

Abstract

The distribution side of the traditional power grid is changing as the users (known as prosumers) can inject power to the grid. However, uncontrollable injection of power can destabilize the grid. Thus, the stability of the grid must be maintained. Since the prosumers are self-interested entities, they will take their actions to maximize their own pay-offs. We formulate the problem as a non-cooperative game theoretic problem where the magnitude of the voltage must be within an acceptable limit at each node of the power network. Since the power-flow equations must be satisfied at each node, it becomes a coupled constrained game where the constraints are the same across the prosumers. We propose a distributed penalty based algorithm which converges to an equilibrium. In this mechanism, the prosumers are quoted a price based on the active and reactive power drawn or injected to the power grid. The algorithm is easy to implement and it converges to an efficient solution which maximizes the sum of the utilities of the prosumers while maintaining the grid’s stability.

Suggested Citation

  • Arnob Ghosh & Vaneet Aggarwal, 2020. "Penalty Based Control Mechanism for Strategic Prosumers in a Distribution Network," Energies, MDPI, vol. 13(2), pages 1-14, January.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:2:p:452-:d:309823
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    References listed on IDEAS

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    1. Ikponmwosa Idehen & Shiny Abraham & Gregory V. Murphy, 2018. "A Method for Distributed Control of Reactive Power and Voltage in a Power Grid: A Game-Theoretic Approach," Energies, MDPI, vol. 11(4), pages 1-22, April.
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    Cited by:

    1. Aviad Navon & Gefen Ben Yosef & Ram Machlev & Shmuel Shapira & Nilanjan Roy Chowdhury & Juri Belikov & Ariel Orda & Yoash Levron, 2020. "Applications of Game Theory to Design and Operation of Modern Power Systems: A Comprehensive Review," Energies, MDPI, vol. 13(15), pages 1-35, August.
    2. Ovidiu Ivanov & Bogdan-Constantin Neagu & Gheorghe Grigoras & Florina Scarlatache & Mihai Gavrilas, 2021. "A Metaheuristic Algorithm for Flexible Energy Storage Management in Residential Electricity Distribution Grids," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    3. Fernando V. Cerna & Mahdi Pourakbari-Kasmaei & Luizalba S. S. Pinheiro & Ehsan Naderi & Matti Lehtonen & Javier Contreras, 2021. "Intelligent Energy Management in a Prosumer Community Considering the Load Factor Enhancement," Energies, MDPI, vol. 14(12), pages 1-24, June.

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