Dynamic modeling of electrochemical systems using linear graph theory
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Date
2011-12-01
Authors
Dao, Thanh-Son
McPhee, John
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
An electrochemical cell is a multidisciplinary system which involves complex chemical, electrical, and thermodynamical processes. The primary objective of this paper is to develop a linear graph-theoretical modeling for the dynamic description of electrochemical systems through the representation of the system topologies. After a brief introduction to the topic and a review of linear graphs, an approach to develop linear graphs for electrochemical systems using a circuitry representation is discussed, followed in turn by the use of the branch and chord transformation techniques to generate final dynamic equations governing the system. As an example, the application of linear graph theory to modeling a nickel metal hydride (NiMH) battery will be presented. Results show that not only the number of equations are reduced significantly, but also the linear graph model simulates faster compared to the original lumped parameter model. The approach presented in this paper can be extended to modeling complex systems such as an electric or hybrid electric vehicle where a battery pack is interconnected with other components in many different domains.
Description
The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.jpowsour.2011.08.065 © 2011. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords
Hybrid electric vehicle, Electrochemical cell, Linear graph, NiMH battery simulation