The large-scale integration of plug-in electric vehicles (PEVs) to the power grid spurs the need for efficient charging coordination mechanisms. It can be shown that the optimal charging schedule smooths out the energy consumption over time so as to minimize the total energy cost. In practice, however, it is hard to smooth out the energy consumption perfectly, because the future PEV charging demand is unknown at the moment when the charging rate of an existing PEV needs to be determined. In this paper, we propose an online coordinated charging decision (ORCHARD) algorithm, which minimizes the energy cost without knowing the future information. Through rigorous proof, we show that ORCHARD is strictly feasible in the sense that it guarantees to fulfill all charging demands before due time. Meanwhile, it achieves the best known competitive ratio of 2.39. By exploiting the problem structure, we propose a novel reduced-complexity algorithm to replace the standard convex optimization techniques used in ORCHARD. Through extensive simulations, we show that the average performance gap between ORCHARD and the offline optimal solution, which utilizes the complete future information, is as small as 6.5%. By setting a proper speeding factor, the average performance gap can be further reduced to 5%. Index Terms-Competitive ratio, online algorithm, optimal charging control, plug-in electrical vehicle, smart grid, worst-case analysis.
The authors of REF proposed an online algorithm with proven competitive ratio for obtaining a sub-optimal solution with slightly higher cost as compared to the offline optimal solution, while satisfying the desired energy requirements imposed by the vehicles.
Online Coordinated Charging Decision Algorithm for Electric Vehicles Without Future Information
IEEE Transactions on Smart Grid
IEEE Transactions on Smart Grid
Computer Science Mathematics Engineering