Reduced order impedance models of lithium ion batteries

Githin K. Prasad, Christopher D. Rahn

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper develops reduced order, linear models of lithium ion batteries that can be used for model-based power train simulation, design, estimation, and controlling in hybrid and electric vehicles (HEV). First, a reduced order model is derived from the fundamental governing electrochemical charge and Li+ conservation equations that are linearized at the operating state of charge and low current density. The equations are solved using analytical and numerical techniques to produce the transcendental impedance or transfer function from input current to output voltage. This model is then reduced to a low order state space model using a system identification technique based on least squares optimization. Given the prescribed current, the model predicts voltage and other variables such as electrolyte and electrode surface concentration distributions. The second model is developed by neglecting electrolyte diffusion and modeling each electrode with a single active material particle. The transcendental particle transfer functions are discretized using a Padé Approximation. The explicit form of the single particle model impedance can be realized by an equivalent circuit with resistances and capacitances related to the cell parameters. Both models are then tuned to match experimental electrochemical impedance spectroscopy (EIS) and pulse current-voltage data.

Original languageEnglish (US)
Article number041012
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume136
Issue number4
DOIs
StatePublished - Jan 1 2014

Fingerprint

electric batteries
lithium
impedance
ions
transfer functions
Transfer functions
Electric potential
electric potential
Electrolytes
electrolytes
Lithium-ion batteries
Electrodes
electrodes
system identification
conservation equations
Hybrid vehicles
low currents
Electric vehicles
Electrochemical impedance spectroscopy
equivalent circuits

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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Reduced order impedance models of lithium ion batteries. / Prasad, Githin K.; Rahn, Christopher D.

In: Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, Vol. 136, No. 4, 041012, 01.01.2014.

Research output: Contribution to journalArticle

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