Efficiency fairness tradeoff in battery sharing

作     者：Chadha, Karan N. Kulkarni, Ankur A. Nair, Jayakrishnan 

作者机构：Department of Electrical Engineering Indian Institute of Technology Bombay Mumbai400076 India Faculty at Systems and Control Engineering Indian Institute of Technology Bombay Mumbai400076 India Faculty at Department of Electrical Engineering Indian Institute of Technology Bombay Mumbai400076 India 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2019年

核心收录：

主　　题：Battery management systems 

摘      要：The increasing presence of decentralized renewable generation in the power grid has motivated consumers to install batteries to save excess energy for future use. The high price of energy storage calls for a shared storage system, but careful battery management is required so that the battery is operated in a manner that is fair to all and as efficiently as possible. In this paper, we study the tradeoffs between efficiency and fairness in operating a shared battery. We develop a framework based on constrained Markov decision processes to study both regimes, namely, optimizing efficiency under a hard fairness constraint and optimizing fairness under hard efficiency constraint. Our results show that there are fundamental limits to efficiency under fairness and vice-versa, and, in general, the two cannot be achieved simultaneously. We characterize these fundamental limits via absolute bounds on these quantities, and via the notion of price of fairness that we introduce in this *** Codes 60J27, 90B22, 60F10 Copyright © 2019, The Authors. All rights reserved.