This paper presents an original equivalent battery model based on a distributed RC circuit. The model virtually includes an infinite number of time constants to reflect the battery behavior, especially during the dynamic stress test. The model has much fewer parameters than the traditional battery model and so reduces the parameterization effort significantly. The self-discharge is inherently implemented in the model as well. The second order partial differential equation of the model is derived and both explicit and numerical solution approaches are introduced to incorporate the model in any simulation environment or analytical response analysis. Incorporating the effect of the state of charge on the parameters of this model is more easily accomplished by changing the trends of the parameters as opposed to each of them individually. The model matches to various battery type and it is validated on a 30 Ah Lithium-Ion battery from 1 C to 8 C discharge pulse current. Furthermore, the results are compared to the classic battery model.

中文翻译：

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基于分布式阻抗网络的电池等效电路的研制

本文提出了一种基于分布式 RC 电路的原始等效电池模型。该模型实际上包含无数时间常数来反映电池行为，尤其是在动态压力测试期间。该模型的参数比传统电池模型少得多，因此显着减少了参数化工作。自放电也固有地在模型中实现。推导了模型的二阶偏微分方程，并引入了显式和数值求解方法，以将模型结合到任何模拟环境或分析响应分析中。通过改变参数的趋势而不是单独改变每个参数的趋势，可以更容易地将荷电状态对模型参数的影响结合起来。该模型与各种电池类型相匹配，并在 1 C 至 8 C 放电脉冲电流的 30 Ah 锂离子电池上进行了验证。此外，将结果与经典电池模型进行了比较。