期刊
JOURNAL OF POWER SOURCES
卷 303, 期 -, 页码 388-398出版社
ELSEVIER
DOI: 10.1016/j.jpowsour.2015.02.075
关键词
Battery charging; Optimal charging; Time to charge; Open circuit voltage; State of charge
资金
- NSF [ECCS-0931956, ECCS-1001445, CCF-1331850]
- ARO [W911NF-10-1-0369]
- ONR [N00014-10-1-0029]
- [ARO W991NF-10-1-0369]
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [1331850] Funding Source: National Science Foundation
In this paper we present a closed-form solution to the problem of optimally charging a Li-ion battery. A combination of three cost functions is considered as the objective function: time-to-charge (TTC), energy losses (EL), and a temperature rise index (TRI). First, we consider the cost function of the optimization problem as a weighted sum of TTC and EL. We show that the optimal charging strategy in this case is the well-known Constant Current-Constant Voltage (CC CV) policy with the value of the current in the CC stage being a function of the ratio of weighting on TTC and EL and of the resistance of the battery. Then, we extend the cost function to a weighted sum of TTC, EL and TRI and derive an analytical solution for the problem. It is shown that the analytical solution can be approximated by a CC CV with the value of current in the CC stage being a function of ratio of weighting on TTC and EL, resistance of the battery and the effective thermal resistance. (C) 2015 Elsevier B.V. All rights reserved.
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