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Open AccessArticle

A Convex Optimization Algorithm for Electricity Pricing of Charging Stations

1
Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China
2
School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China
*
Author to whom correspondence should be addressed.
Algorithms 2019, 12(10), 208; https://doi.org/10.3390/a12100208
Received: 27 July 2019 / Revised: 17 September 2019 / Accepted: 20 September 2019 / Published: 1 October 2019
(This article belongs to the Special Issue Algorithms in Convex Optimization and Applications)
The problem of electricity pricing for charging stations is a multi-objective mixed integer nonlinear programming. Existing algorithms have low efficiency in solving this problem. In this paper, a convex optimization algorithm is proposed to get the optimal solution quickly. Firstly, the model is transformed into a convex optimization problem by second-order conic relaxation and Karush–Kuhn–Tucker optimality conditions. Secondly, a polyhedral approximation method is applied to construct a mixed integer linear programming, which can be solved quickly by branch and bound method. Finally, the model is solved many times to obtain the Pareto front according to the scalarization basic theorem. Based on an IEEE 33-bus distribution network model, simulation results show that the proposed algorithm can obtain an exact global optimal solution quickly compared with the heuristic method. View Full-Text
Keywords: charging station; convex optimization; multi-objective programming; polyhedral approximation; scaling method charging station; convex optimization; multi-objective programming; polyhedral approximation; scaling method
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Zhang, J.; Zhan, X.; Li, T.; Jiang, L.; Yang, J.; Zhang, Y.; Diao, X.; Han, S. A Convex Optimization Algorithm for Electricity Pricing of Charging Stations. Algorithms 2019, 12, 208.

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