2020
DOI: 10.1016/j.est.2019.101120
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Non-dimensional analysis of electrochemical governing equations of lead-acid batteries

Abstract: Lead-acid batteries have widespread usages in various kinds of industries all over the world. Therefore, these electrochemical energy saving devices always need to develop new models and analyses based on innovative ideas. In the present study, a new set of non-dimensional electrochemical governing equations for lead-acid cells are derived based on an innovative self-comparative concept. Thorough this non-dimensionalization process, some useful dimensionless coefficients of the governing equations are introduc… Show more

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Cited by 7 publications
(3 citation statements)
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“…Non-dimensionalization might reduce the number of model parameters, expand the applicability of the obtained results, increase the stability and accuracy of the simulated results, and make the comparison between various scenarios easier. 68,69 The system of governing equations, as well as the B.C.s, are non-dimensionalized by substitution of proper dimensionless variables to remove the units. The dimensionless form of Eqs.…”
Section: Mathematical Modelingmentioning
confidence: 99%
“…Non-dimensionalization might reduce the number of model parameters, expand the applicability of the obtained results, increase the stability and accuracy of the simulated results, and make the comparison between various scenarios easier. 68,69 The system of governing equations, as well as the B.C.s, are non-dimensionalized by substitution of proper dimensionless variables to remove the units. The dimensionless form of Eqs.…”
Section: Mathematical Modelingmentioning
confidence: 99%
“…Hysteresis includes two parts: the beginning part is that variables significantly change or hold up in the opposite direction of degradation; the following part is that variables rapidly change in the positive direction of degradation. The main reason for hysteresis is the nature of complicated nonlinear system dynamics of lead-acid batteries [28].…”
Section: Introductionmentioning
confidence: 99%
“…Due to this, most research into the behaviour of the electrolyte within the electrode active material has been restricted to mathematical models. [11][12][13][14][15][16] Numerous models, such as from Turner et al, 15 have consistently shown that high-rate discharges may be limited by mass transport of sulfuric acid into an electrode. In this case, within an electrode, sulfuric acid is consumed at a greater rate than what can be supplied via diffusion or migration.…”
mentioning
confidence: 99%