Simple Analytical Method for Determining Parameters of Discharging Batteries
This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new m...
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Veröffentlicht in: | IEEE transactions on energy conversion 2011-09, Vol.26 (3), p.787-798 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new method is to transform the problem of solving a system of high-order polynomial equations into one of solving several linear equations and a single-variable n th-order polynomial equation, via some change of variables. The computation can be implemented with a simple MATLAB code less than half-page long. Experimental and computational results are obtained for three types of batteries: Li-polymer, lead-acid, and nickel metal hydride. For all the tested batteries, the first-order models are not able to generate voltage responses that closely match the measured responses, while second-order models can generate well-matched responses. For some of the batteries, a third-order model can do a better job matching the voltage responses. |
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ISSN: | 0885-8969 1558-0059 |
DOI: | 10.1109/TEC.2011.2129594 |