49th IEEE Conference on Decision and Control (CDC) 2010
DOI: 10.1109/cdc.2010.5717547
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Decentralized charging control for large populations of plug-in electric vehicles

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Cited by 348 publications
(486 citation statements)
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“…Then we define the Lagrangian for the primal problem (6) as (7) Note that the first term in the Lagrangian (7) is separable in terms of EVs, thus the dual function which minimizes the Lagrangian (7) over and can be described as follows: (8) where is a subproblem corresponding to the scheduling on the charging/discharging behavior of EV . Note that each subproblem can be tackled independently, which simplifies the whole solving process.…”
Section: B Primal-dual Approach and Subproblem Of Evmentioning
confidence: 99%
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“…Then we define the Lagrangian for the primal problem (6) as (7) Note that the first term in the Lagrangian (7) is separable in terms of EVs, thus the dual function which minimizes the Lagrangian (7) over and can be described as follows: (8) where is a subproblem corresponding to the scheduling on the charging/discharging behavior of EV . Note that each subproblem can be tackled independently, which simplifies the whole solving process.…”
Section: B Primal-dual Approach and Subproblem Of Evmentioning
confidence: 99%
“…As EVs gradually penetrate into our daily life, they will consume a tremendous amount of electricity energy. According to [8], Manuscript if 30% of conventional vehicles in the US were substituted by EVs, the total charging load would reach around 18% of the US summer peak load. Moreover, uncoordinated charging of EVs easily leads to a load peak which coincides with the original base load peak [9], and may crash the distribution grid.…”
Section: Introductionmentioning
confidence: 99%
“…Let x 1 = 5, K = 1, and KP = 24. From (17) M = 6 and the feasible intervals for each charging action are obtained from (20) and (21): [1,6], [4,10], [8,14], [12,18], [16,22], and [20,24]. It is clear that [s m , e m ] ∩ s m+1 , e m+1 = ∅; therefore, it is possible that the consecutive charging actions are coupled together.…”
Section: A Coupled Chainmentioning
confidence: 99%
“…Some other methods have focused on decentralized control and optimization of EV charging, which requires reduced communications infrastructure and computational burden. In [9], the coordination of EVs was performed using noncooperative games to minimize generation cost. A distributed algorithm that considers the EV battery state of charge (SOC) was proposed in [10] to level the load at night.…”
Section: Introductionmentioning
confidence: 99%