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Evolutionary Game Theory Approach Part II: Escort Dynamics

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 137))

Abstract

In this chapter, the second part of an evolutionary game theory approach for the decentralized PEV load scheduling problem is presented. This approach is based on the application of a family of evolutionary game dynamics called Escort Dynamics (ED). In this application, a multi-population scenario is considered for representing PEV energy and reactive power quantities to be distributed over the three phases of the system and over multiple time slots in a given time horizon.

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Notes

  1. 1.

    The word local refers to each PEV individually.

  2. 2.

    The concept of evolutionary stable state (ESS) is described later in this chapter.

  3. 3.

    Elements \(f_k\) are completely different and should not be confused with the nomenclature employed on the dynamic programming algorithm of Chap. 3, for the model of the system.

  4. 4.

    Nomad populations for the energy analogy.

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Correspondence to Andrés Ovalle .

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Ovalle, A., Hably, A., Bacha, S. (2018). Evolutionary Game Theory Approach Part II: Escort Dynamics. In: Grid Optimal Integration of Electric Vehicles: Examples with Matlab Implementation. Studies in Systems, Decision and Control, vol 137. Springer, Cham. https://doi.org/10.1007/978-3-319-73177-3_5

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  • DOI: https://doi.org/10.1007/978-3-319-73177-3_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73176-6

  • Online ISBN: 978-3-319-73177-3

  • eBook Packages: EngineeringEngineering (R0)

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