Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Mathematical Construction of the Battery Mechanism Function

Version 1 : Received: 28 July 2020 / Approved: 28 July 2020 / Online: 28 July 2020 (09:39:10 CEST)

How to cite: Li, W.; Zhang, C.; Mao, L.; Cheng, X. The Mathematical Construction of the Battery Mechanism Function. Preprints 2020, 2020070669 (doi: 10.20944/preprints202007.0669.v1). Li, W.; Zhang, C.; Mao, L.; Cheng, X. The Mathematical Construction of the Battery Mechanism Function. Preprints 2020, 2020070669 (doi: 10.20944/preprints202007.0669.v1).

Abstract

The corrected mechanism model of battery voltammetric function is helpful to guide the development and application of battery. There are two scientific issues that need to be answered: First, how many mechanisms do batteries have; Second, how to establish the mechanism model separately under the overlapping of these mechanisms. Volt-ampere characteristics of both linear state and nonlinear state exist; the monotonic decreasing of volt-ampere characteristics indicates that the battery have only three kinds of mechanisms. Without changing the basic form of the function and under the principle of the mechanism function’s working region considered, we propose a mechanism function which satisfies the monotonic decreasing characteristic of the voltammetric curve of battery, via the derivative law of each mechanism function in the voltammetric function of battery. By using the voltammetric data, the obtained cell mechanism function can accurately predict the potential (current or voltage) when the independent variable of the cell is zero, and provide the theoretical basis for the internal working mechanism of the cell, which can guide the practice.

Subject Areas

volt-ampere characteristics; battery mathematical model; mechanism function; fuel cell

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