Bidirectional Energy Management for Plug-in Hybrid Electric Vehicles via Vehicle-to-Grid
As a paradigm of the incoming smart grid, vehicle-to-grid (V2G) has been proposed as a solution to increase the adoption rate of plug-in hybrid electric vehicles (PHEVs). In this paper, we investigate the bidirectional energy management for PHEVs via V2G system. We formulate the energy management problem through dynamic programming, aiming at flattening the grid peak load and minimizing the daily energy cost. However, the “well-known” complexity in solving dynamic programming poses a computational challenge even for a small N. Therefore, we prove that a ( s, S, s′, S′) feedback policy is optimal for PHEV battery charging/discharging based on inventory storage theory. Simulation results verified the validity of the proposed algorithm. The theoretical analysis and proofs are instrumental to the future large-scale PHEV adoption in smart grid.
KeywordsPlug-in hybrid electric vehicles Vehicle-to-grid Battery charging Dynamic programming Stochastic inventory
This work was supported by U.S. National Science Foundation under Grant CNS-1116749.
- 1.Beyer D, Cheng F, Sethi S, Taksar M (2010) Markovian demand inventory models. Springer, New YorkGoogle Scholar
- 2.Bertsekas DP (2007) Dynamic programming and optimal control, Vol 1 and 2. Belmont, Athena ScientificGoogle Scholar
- 3.Kempton W, Tomic J (2005) Vehicle-to-grid power implementation: from stabilizing the grid to supporting large-scale renewable energy. J Power Sources 144(1):280–294Google Scholar
- 4.Liang H, Choi B, Zhuang W, Shen X (2012) Towards optimal energy store-carry-and-deliver for PHEVs via V2G system. Infocom 2012, Orlando, FL, March 2012, pp 1674–1682Google Scholar
- 5.Moura SJ, Fathy HK, Callaway DS, Stein JL (2011) A stochastic optimal control approach for power management in plug-in hybrid electric vehicles. IEEE Trans Comtrol Syst Technol 19(3):545–555Google Scholar
- 6.Orange & Rockland Co. http://www.oru.com/index.html
- 7.Peterson SB, Whitacre JF, Apt J (2010) The economics of using plug-in hybrid electric vehicle battery packs for grid storage. J Power Sources 195(8):2377-2384Google Scholar
- 8.Sortomme E, El-Sharkawi MA (2011) Optimal charging strategies for unidirectional vehicle-to-grid. IEEE Trans Smart Grid 2(1):131–138Google Scholar
- 9.United States Department of Energy (2011) One Million Electric Vehicles By 2015, http://energy.gov/sites/prod/files/edg/news/documents/1MillionElectricVehicleReportFinal.pdf
- 10.Urgaonkar R, Urgaonkar B, Neely MJ, Sivasubramaniam A (2011) Optimal power cost management using stored energy in data centers. Proceedings of the ACM SIGMETRICS. ACM, New YorkGoogle Scholar