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Computing

, Volume 99, Issue 1, pp 23–37 | Cite as

A distributed power sharing framework among households in microgrids: a repeated game approach

  • Tarek AlSkaifEmail author
  • Manel Guerrero Zapata
  • Boris Bellalta
  • Anders Nilsson
Article

Abstract

In microgrids, the integration of distributed energy resources (DERs) in the residential sector can improve power reliability, and potentially reduce power demands and carbon emissions. Improving the utilization of renewable energy in households is a critical challenge for DERs. In this regard, renewable power sharing is one of the possible solutions to tackle this problem. Even though this solution has attracted significant attention recently, most of the proposed power sharing frameworks focus more on centralized schemes. In contrast, in this paper, the performance of a proposed distributed power sharing framework is investigated. The problem is formulated as a repeated game between households in a microgrid. In this game, each household decides to cooperate and borrow/lend some amount of renewable power from/to a neighboring household, or to defect and purchase the entire demands from the main grid based on a payoff function. The Nash equilibrium of this game is characterized and the effect of the strategies taken by the households on the system is analyzed. We conduct an extensive evaluation using real demand data from 12 households of different sizes and power consumption profiles in Stockholm. Numerical results indicate that cooperation is beneficial from both an economical and environmental perspective and that households can achieve cost savings up to 20 %.

Keywords

Microgrids Game theory Demand side management Distributed energy resources Electricity cost minimization problem Carbon emission reduction strategies 

Mathematics Subject Classification

91A20 Multistage and repeated games 91A10 Noncooperative games 91A80 Applications of game theory 68W15 Distributed algorithms 68M14 Distributed systems 

Notes

Acknowledgments

This work was partially supported by projects TIN2013-47272-C2-2, TEC2012- 32354 and SGR-2014-881.

References

  1. 1.
    The International Energy Agency (IEA) (2014) World energy outlook. http://www.iea.org/. Accessed Dec 2014
  2. 2.
    Ipakchi A, Albuyeh F (2009) Grid of the future. Power Energy Mag IEEE 7(2):52–62CrossRefGoogle Scholar
  3. 3.
    Energy Information Administration, US (2014) http://www.eia.gov/todayinenergy/. Accessed Dec 2014
  4. 4.
    Farhangi H (2010) The path of the smart grid. Power Energy Mag IEEE 8(1):18–28MathSciNetCrossRefGoogle Scholar
  5. 5.
    Amin SM, Wollenberg BF (2005) Toward a smart grid: power delivery for the 21st century. Power Energy Mag IEEE 3(5):34–41CrossRefGoogle Scholar
  6. 6.
    Gellings CW, Chamberlin JH (1987) Demand-side management: concepts and methodsGoogle Scholar
  7. 7.
    Hatziargyriou N, Asano H, Iravani R, Marnay C (2007) Microgrids. Power Energy Mag IEEE 5(4):78–94CrossRefGoogle Scholar
  8. 8.
    Barnes J et al (2013) Freeing the grid 2013 best practices in state net metering policies and interconnection procedures. In: Latham NY (ed) Interstate Renewable Energy Council (IREC). http://freeingthegrid.org/wp-content/uploads/2013/11/FTG_2013.pdf. Accessed May 2015
  9. 9.
    Zhu T, Mishra A, Irwin D, Sharma N, Shenoy P, Towsley D (2011) The case for efficient renewable energy management in smart homes. In: Proceedings of the third ACM workshop on embedded sensing systems for energy-efficiency in buildings, ACM, pp 67–72Google Scholar
  10. 10.
    Tesla Powerwall (2015) http://www.teslamotors.com/powerwall. Accessed May 2015
  11. 11.
    Xie X (2012) Vanadium redox-flow battery. Tennessee Valley AuthorityGoogle Scholar
  12. 12.
  13. 13.
    Alskaif T, Zapata MG, Bellalta B (2015) A reputation-based centralized energy allocation mechanism for microgrids. In: Smart Grid Communications (SmartGridComm), 2015 6th IEEE international conferenceGoogle Scholar
  14. 14.
    Yao J, Venkitasubramaniam P (2015) Optimal end user energy storage sharing in demand response. In: Smart Grid Communications (SmartGridComm), 2015 6th IEEE international conferenceGoogle Scholar
  15. 15.
    Zhu T, Huang Z, Sharma A, Su J, Irwin D, Mishra A, Menasche D, Shenoy P (2013) Sharing renewable energy in smart microgrids. In: Proceedings of the ACM/IEEE 4th international conference on cyber-physical systems, ACM, pp 219–228Google Scholar
  16. 16.
    Liu T, Tan X, Sun B, Wu Y, Guan X, Tsang DH (2015) Energy management of cooperative microgrids with p2p energy sharing in distribution networks. In: Smart Grid Communications (SmartGridComm), 2015 6th IEEE international conferenceGoogle Scholar
  17. 17.
    Alskaif T, Zapata MG, Bellalta B (2015) Game theory for energy efficiency in wireless sensor networks: latest trends. J Netw Comput Appl 54:33–61CrossRefGoogle Scholar
  18. 18.
    Alskaif T, Zapata MG, Bellalta B (2015) Citizens collaboration to minimize power costs in smart grids: a game theoretic approach. In: SMARTGREENS–4th international conference on smart cities and green ict systems, Lisbon, Portugal, SCITEPRESS–Science and Technology Publications, pp 300–305Google Scholar
  19. 19.
    Fudenberg D, Maskin E (1986) The folk theorem in repeated games with discounting or with incomplete information. Econometrica 54(3):533–554MathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    Friedman JW (1971) A non-cooperative equilibrium for supergames. Rev Econ Stud 38(1):1–12CrossRefzbMATHGoogle Scholar
  21. 21.
    Axelrod R, Hamilton WD (1981) The evolution of cooperation. Science 211(4489):1390–1396MathSciNetCrossRefzbMATHGoogle Scholar
  22. 22.
    Gale D, Shapley LS (1962) College admissions and the stability of marriage. American mathematical monthly, pp 9–15Google Scholar
  23. 23.
    Nord Pool (2013). http://www.nordpoolspot.com. Accessed May 2015
  24. 24.
    Brander M, Sood A, Wylie C, Haughton A, Lovell J (2011) Electricity-specific emission factors for grid electricity. Technical paperGoogle Scholar

Copyright information

© Springer-Verlag Wien 2016

Authors and Affiliations

  • Tarek AlSkaif
    • 1
    Email author
  • Manel Guerrero Zapata
    • 1
  • Boris Bellalta
    • 2
  • Anders Nilsson
    • 3
  1. 1.Department of Computer ArchitectureUniversitat Politecnica de Catalunya (UPC)BarcelonaSpain
  2. 2.Department of Information and Communication TechUniversitat Pompeu Fabra (UPF)BarcelonaSpain
  3. 3.Department of Sustainable Development, Environmental Science and EngineeringRoyal Institute of Technology (KTH)StockholmSweden

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