Mean Field Game for Strategic Bidding of Energy Consumers in Congested Distribution Networks

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review


The proliferation of batteries, photovoltaic cells and Electric Vehicles (EVs) in electric power networks can result in network congestion. A redispatch market that allows the Distribution System Operators (DSOs) to relieve congested networks by asking the energy consumers to adjust their scheduled consumption is an alternative to upgrading network capacity. However, energy consumers can strategically increase their bids on the day-ahead market in anticipation of payouts from the redispatch market. This behaviour, which is called increase-decrease gaming, can aggravate congestion and allow the energy consumers to extract windfall profits from the DSO. In this paper, we model the increase-decrease game for large populations of energy consumers in power networks using a mean field game approach. The agents (energy consumers) maximize their individual welfare on the day-ahead market with anticipation of the redispatch market, coupled via the electricity price. We show that there exists a Nash equilibrium for this game and use an algorithm that converges to the Nash equilibrium for the infinite population case.
Original languageEnglish
Title of host publicationProceedings of the 2023 62nd IEEE Conference on Decision and Control, CDC 2023
Number of pages6
ISBN (Electronic)979-8-3503-0124-3
ISBN (Print)979-8-3503-0125-0
Publication statusPublished - 2023
Event2023 62nd IEEE Conference on Decision and Control (CDC) - Singapore, Singapore
Duration: 13 Dec 202315 Dec 2023
Conference number: 62nd


Conference2023 62nd IEEE Conference on Decision and Control (CDC)
City Singapore

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Power systems
  • Game theory
  • Power generation


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