This paper examines the development of a linear single particle model that can be used for model based power train simulation, design, estimation and control in hybrid and electric vehicles. The model assumes that the cell consists of spherical particles in each electrode, neglects the electrolyte dynamics, and uses Padé approximations of the particle transcendental transfer functions. The Padé approximated single particle model matches well with the transcendental model, indicating the accuracy of 3rd order Padé approximations for the particle surface concentrations. This model also accurately reproduces the frequency response of a more complex model from the literature, showing that electrolyte diffusion has limited impact on cell impedance. The model also predicts the experimentally measured EIS and moderate (≤ 5C) current pulse charge/discharge of a 3.1 Ah Li-ion cell. The explicit form of the impedance allows the development of an equivalent circuit with resistances and capacitances related to the cell parameters.
- Dynamic Systems and Control Division
Development of a First Principles Equivalent Circuit Model for a Lithium Ion Battery
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Prasad, GK, & Rahn, CD. "Development of a First Principles Equivalent Circuit Model for a Lithium Ion Battery." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 2: Legged Locomotion; Mechatronic Systems; Mechatronics; Mechatronics for Aquatic Environments; MEMS Control; Model Predictive Control; Modeling and Model-Based Control of Advanced IC Engines; Modeling and Simulation; Multi-Agent and Cooperative Systems; Musculoskeletal Dynamic Systems; Nano Systems; Nonlinear Systems; Nonlinear Systems and Control; Optimal Control; Pattern Recognition and Intelligent Systems; Power and Renewable Energy Systems; Powertrain Systems. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 369-375. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8607
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