Optimal price-threshold control for battery operation with aging phenomenon: a quasiconvex optimization approach

Optimal price-threshold control for battery operation with aging phenomenon: a quasiconvex optimization approach
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具有老化现象的电池运行的最优价格阈值控制:一种拟凸优化方法

DOI:
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发表时间:
2017
影响因子:
4.8
通讯作者:
Boris Defourny
Boris Defourny
中科院分区:
管理学3区
文献类型:
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作者:
Yuhai Hu;Boris Defourny

文献摘要

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本文研究的是考虑电池老化的网格级电池存储操作。将价格不确定条件下的电池运营过程建模为具有期望累积折扣回报的马尔可夫决策过程。研究了最优策略的结构。开发了一种算法,该算法利用问题结构并直接在连续状态空间上工作,以最大化电池寿命内的目标。该算法通过求解一系列以电池寿命状态为索引的拟凸问题来确定最优策略。给出了计算结果,将所提出的方法与标准的动态规划方法进行了比较,并评估了电池模型中改进的影响。给出了算法的误差界,以验证算法的准确性。
This paper is concerned with grid-level battery storage operations, taking battery aging into consideration. Battery operations under price uncertainty are modeled as a Markov Decision Process with expected cumulated discounted rewards. The structure of the optimal policy is studied. An algorithm that takes advantage of the problem structure and works directly on the continuous state space is developed to maximize the objective over the life of the battery. The algorithm determines an optimal policy by solving a sequence of quasiconvex problems indexed by a battery-life state. Computational results are presented to compare the proposed approach to a standard dynamic programming method, and to evaluate the impact of refinements in the battery model. Error bounds for the proposed algorithm are established to demonstrate its accuracy.