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摘要:
为了研究锂离子电池成组使用时遇到的不一致性和温度不均的问题,基于电化学-热耦合模型,以8块软包电池为例,通过多种串并联方式建立不同的电路模块,分析在1C和0.5C放电过程中电池的温度特征和不一致性。结果表明:电池模块的均温性和一致性与放电倍率有关。不管是先串后并还是先并后串,并联支路的增加或者是串联单元数量的减少都会使电池模块的平均温升和最大温差降低,还会影响温升速率和放电结束时的电压。并联支路数相同时,先串后并模块的一致性要比先并后串好。对于先并后串的模块,其并联支路中串联电池的数量越多,放电过程中电池之间的一致性越差。对于先串后并的模块,其并联的支路数越多,电池的一致性越差。
Abstract:In order to study the inconsistency and uneven behavior of temperature in lithium-ion batteries packing, based on the electrochemical-thermal coupling model, this paper takes eight pouch batteries as an example, establishes different circuit modules through different series and parallel connection modes, and analyzes the temperature characteristics and inconsistency of batteries at the discharge of 1C and 0.5C. The results show that the inconsistency and temperature difference of the battery module are related to the discharge rate. The increase of parallel branches or the decrease of the number of series units will not only reduce the average temperature rise and maximum temperature difference of battery module, but also affect the temperature rise rate and voltage at the end of discharge. When the number of parallel branches is the same, the consistency of the series-parallel modules is better than that of parallel-series modules. For the parallel-series modules, the more batteries are connected in series in the parallel branch, the worse the consistency of the batteries is. For the series-parallel modules, the more the number of parallel branches, the worse the battery consistency.
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表 1 电池的部分参数
Table 1. Partial battery parameters
参数 正极 隔膜 负极 其余数据 描述 L/μm 90a 20a 60a 厚度 Rp/μm 3.5a 6a 活性颗粒粒子半径 ε1 0.56b 0.44b 固相体积分数 ε2 0.555 6b 0.4b 0.444 4b 液相体积分数 c1, max/(mol·m-3) 19 102b 36 100b 最大可嵌锂浓度 c2, 0/(mol·m-3) 1 200a 1 200a 1 200a 初始电解液锂浓度 k0/(m·s-1) 4.38×10-11c 1.63×10-11c 反应速率常数 H×W×Lb/mm 342×109.5×9.5a 电池长×宽×厚 Cpa/(J·(kg·K)-1) 1 299.4a 电芯平均比热容 Cpb/(J·(kg·K)-1) 900a 385a 极耳比热容 λa/(W·(m·K)-1) 1.282 7b 电芯平均导热系数 λb/(W·(m·K)-1) 238b 400b 极耳导热系数 注:上标a为厂家提供数据;上标b为计算所得数据;上标c为根据参考文献和基于文献调整所得。 表 2 控制方程和边界条件
Table 2. Governing equations and boundary conditions
控制方程 边界条件 质量守恒 电荷守恒 电化学反应速率 能量守恒 表 3 放电结束时的P0值
Table 3. P0 at the end of discharge
电路 P0值/10-5 0.5C 1C 电路a 7.488 9 22.843 3 电路b 88.537 5 179.948 6 电路c 54.487 5 89.021 1 电路d 10.012 9 20.278 2 电路e 88.706 9 180.002 8 电路f 155.269 4 296.066 4 -
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