Skip to main content

Advertisement

Log in

Optimal and Elastic Energy Trading for Green Microgrids: a two-Layer Game Approach

  • Published:
Mobile Networks and Applications Aims and scope Submit manuscript

Abstract

Energy trading mechanism for microgrids has an inherent two-layer architecture, in which the energy trading at the first layer is between a microgrid aggregator and consumers (e.g., households) within a microgrid, and the second layer is referred to as the wide area energy trading among multiple microgrids. This paper employs a two-layer game approach to achieve optimal and elastic energy trading for microgrids and improve utilization of green energy. First, a non-cooperative game is developed inside a microgrid, in which the relationship among household users is non-cooperative, and they adjust load schedules to optimize their utilities while trading energy with the microgrid aggregator. Second, a multileader-multifollower Stackelberg game is employed for the energy trading among microgrids. The role of a microgrid (as an energy buyer or seller) in the energy market is based on the result of the first game, and it can elastically adjust its energy trading strategy by charging or discharging the energy storage device. The existence and uniqueness of the equilibriums for the two games are proven. We also present algorithms that can reach the equilibriums where players achieve optimal utilities. Simulation results show that the proposed two-layer energy trading is able to significantly improve the utilization of microgrids’ green energy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Hatziargyriou N, Asano H, Iravani R, Marnay C (2007) Microgrids. IEEE power and energy magazine 5(4):78–94

    Article  Google Scholar 

  2. Farhangi H (2010) The path of the smart grid. IEEE power and energy magazine 8(1):18–28

    Article  MathSciNet  Google Scholar 

  3. Driesen J, Katiraei F (2008) Design for distributed energy resources. IEEE power and energy magazine 6(3):30–40

    Article  Google Scholar 

  4. Zhang Y, Yu R, Xie S, Yao W, Xiao Y, Guizani M (2011) Home M2M networks: architectures, standards, and QoS improvement. IEEE Communications Magazine 49(4):44–52

    Article  Google Scholar 

  5. Zhang Y, Yu R, Nekovee M, Liu Y, Xie S, Gjessing S (2012) Cognitive machine-to-machine communications: visions and potentials for the smart grid. IEEE Network 26(3):6–13

    Article  Google Scholar 

  6. Maharjan, S, Zhu, Q., Zhang, Y, Gjessing, S, Basar, T (2013) Dependable demand response management in the smart grid: A Stackelberg game approach. IEEE Transactions on Smart Grid, 4(1):120–132

    Article  Google Scholar 

  7. Park S, Lee J, Bae S, Choi GHJK (2016) Contribution-based energy-trading mechanism in microgrids for future smart grid: a game theoretic approach. IEEE Transaction on Industrial Electronics 63(7):4255–4265

    Article  Google Scholar 

  8. Gregoratti D, Matamoros J (2015) Distributed energy trading: the multiple-microgrid case. IEEE Transactions on Industrial Electrics 62(4):2551–2559

    Article  Google Scholar 

  9. Lee J, Guo J, Choi JK, Zukerman M (2015) Distributed energy trading in microgrids: a game-theoretic model and its equilibrium analysis. IEEE Trans Ind Electron 62(6):3524–3533

    Google Scholar 

  10. Morey M et al. (2001) Power market auction design: Rules and lessons in market based control for the new electricity industry. Prepared for Edison Electric Institute

  11. Sortomme E, El-Sharkawi MA (2012) Optimal combined bidding of vehicle-to-grid ancillary services. IEEE Transactions on Smart Grid 3(1):70–79

    Article  Google Scholar 

  12. Lam AY, Huang L, Silva A, Saad W (2012) A multi-layer market for vehicle-to-grid energy trading in the smart grid. Computer Communications Workshops (INFOCOM WKSHPS), IEEE Conference, pp. 85–90

  13. Wang Y, Saad W, Han Z, Poor HV, Basar T (2014) A game-theoretic approach to energy trading in the smart grid. IEEE Transactions on Smart Grid 5(3):1439–1450

    Article  Google Scholar 

  14. Kim B-G, Ren S, van der Schaar M, Lee J-W (2013) Bidirectional energy trading and residential load scheduling with electric vehicles in the smart grid. IEEE Journal on Selected Areas in Communications 31(7):1219–1234

    Article  Google Scholar 

  15. Saad W, Han Z, Poor HV, Basar T (2011) A noncooperative game for double auction-based energy trading between phevs and distribution grids. Smart Grid Communications (SmartGridComm), IEEE International Conference, pp. 267–272

  16. Wu C, Mohsenian-Rad H, Huang J (2012) Vehicle-to-aggregator interaction game. IEEE Transactions on Smart Grid 3(1):434–442

    Article  Google Scholar 

  17. Kim BG, Ren S, van der Schaar M, and Lee JW (2013) Tiered billing scheme for residential load scheduling with bidirectional energy trading. Smart Grid Communications (SmartGridComm), IEEE International Conference, pp. 363–368

  18. Tushar W, Saad W, Poor HV, Smith DB (2012) Economics of electric vehicle charging: a game theoretic approach. IEEE Transactions on Smart Grid 3(4):1767–1778

    Article  Google Scholar 

  19. Mondal A, Misra S (2015) Game-theoretic energy trading network topology control for electric vehicles in mobile smart grid. IET Networks 4(4):220–228

    Article  Google Scholar 

  20. Yu R, Ding J, Zhong W, Liu Y, Xie S (2014) Phev charging and discharging cooperation in v2g networks: a coalition game approach. IEEE Internet of Things 1(6):578–589

    Article  Google Scholar 

  21. Rosen JB (1965) Existence and uniqueness of equilibrium points for concave n-person games. Econometrica 33(3):520–534

    Article  MathSciNet  MATH  Google Scholar 

Download references

Funding

W. Zhou was with the Guangdong University of Technology and is now with the University of Electronic Science and Technology Of China, Zhongshan Institute. The work of H. Zhang and W. Zhong was supported by National Natural Science Foundation (NSF) of China under grant 61501127. The work of R. Yu was supported by NSF of China under grant 61422201 and 61370159. The work of R. Yu, H. Zhang, and W. Zhong was supported by NSF of Guangdong under grant 2016A030313705, Special Fund for Applied Science and Technology (S&T) of Guangdong under grant 2015B010129001, 2014B090907010, 2015B010106010, Fund for S&T Talents of Guangdong under grant 2014TQ01X100 and Guangzhou Fund for Zhujiang S&T New Stars under grant 2014J2200097.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haochuan Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, W., Wu, J., Zhong, W. et al. Optimal and Elastic Energy Trading for Green Microgrids: a two-Layer Game Approach. Mobile Netw Appl 24, 950–961 (2019). https://doi.org/10.1007/s11036-018-1027-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11036-018-1027-x

Keywords

Navigation