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Mathematics > Optimization and Control

arXiv:1812.02847 (math)
[Submitted on 6 Dec 2018 (v1), last revised 27 Mar 2019 (this version, v2)]

Title:Hierarchical Distributed EV Charging Scheduling in Distribution Grids

Authors:Behnam Khaki, Yu-Wei Chung, Chicheng Chu, Rajit Gadh
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Abstract:In this paper, a hierarchical distributed method consisting of two iterative procedures is proposed for optimal electric vehicle charging scheduling (EVCS) in the distribution grids. In the proposed method, the distribution system operator (DSO) aims at reducing the grid loss while satisfying the power flow constraints. This is achieved by a consensus-based iterative procedure with the EV aggregators (Aggs) located in the grid buses. The goal of aggregators, which are equipped with the battery energy storage (BES), is to reduce their electricity cost by optimal control of BES and EVs. As Aggs' optimization problem increases dimensionally by increasing the number of EVs, they solved their problem through another iterative procedure with their customers. This procedure is implementable by exploiting the mathematical properties of the problem and rewriting Aggs' optimization problem as the \textit{sharing problem}, which is solved efficiently by the alternating direction method of multipliers (ADMM). To validate the performance, the proposed method is applied to IEEE-13 bus system.
Comments: This paper has been accepted to IEEE PES General Meeting 2019
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1812.02847 [math.OC]
  (or arXiv:1812.02847v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.02847

Submission history

From: Behnam Khaki [view email]
[v1] Thu, 6 Dec 2018 23:03:53 UTC (130 KB)
[v2] Wed, 27 Mar 2019 20:32:48 UTC (131 KB)
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