A Hybrid Optimization Framework for Equivalent Circuit Model Parameter Identification from Electrochemical Impedance Spectroscopy of Low-Impedance Lithium-Ion Battery Cells for Electric Vehicles

Electrochemical impedance spectroscopy is widely used for lithium-ion battery development, diagnostics, performance evaluation, and state-of-health and state-of-charge estimation. However, the characterization of equivalent circuit models from experimental data remains largely dependent on a trial-and-error process. The fitting of model parameters from experimental data are a nonlinear, nonconvex optimization problem with multiple local minima. The conventional approach often requires carefully selected search bounds and iterative manual adjustment of initial guesses. The problem is more challenging for low-impedance electric vehicle battery cells, whose impedance spectra show complex diffusion phenomena, inductive effects, and higher measurement noise. To address this issue, this work presents a robust and automated hybrid global-to-local optimization framework for equivalent circuit model parameter identification using a genetic algorithm followed by Nelder–Mead refinement. The electrochemical impedance spectroscopy data reported in a previous study are adopted as a benchmark to evaluate this framework. The fitting results across different states of charge and temperatures demonstrate high convergence reliability, high fitting accuracy, robustness to initial conditions and search bounds, and computational efficiency. This proposed workflow provides a practical and reliable framework for equivalent circuit model parameter identification from electrochemical impedance spectroscopy of milliohm-level lithium-ion battery cells used for electric vehicles. Across six state-of-charge–temperature conditions, the genetic algorithm reached stable near-optimal solutions within approximately 150 iterations and final residual values ranging from 2.14×10−3 to 2.89×10−3. The following Nelder–Mead refinement achieved at most 0.012% additional residual value. In general, this workflow provides a practical and reliable approach for equivalent circuit model parameter identification from electrochemical impedance spectroscopy data and can be extended to a wider range of battery systems.

Authors

Institutions

Publication Details

Journal
AppliedMath
Published
2026-10-09
DOI
https://doi.org/10.3390/appliedmath6100167
Primary Topic
Advanced Battery Technologies Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Hybrid Optimization Framework for Equivalent Circuit Model Parameter Identification from Electrochemical Impedance Spectroscopy of Low-Impedance Lithium-Ion Battery Cells for Electric Vehicles

Leyu Wang, Teng Long
AppliedMath
Advanced Battery Technologies Research
article

A Hybrid Optimization Framework for Equivalent Circuit Model Parameter Identification from Electrochemical Impedance Spectroscopy of Low-Impedance Lithium-Ion Battery Cells for Electric Vehicles

Leyu Wang, Teng Long
article en

Abstract

Electrochemical impedance spectroscopy is widely used for lithium-ion battery development, diagnostics, performance evaluation, and state-of-health and state-of-charge estimation. However, the characterization of equivalent circuit models from experimental data remains largely dependent on a trial-and-error process. The fitting of model parameters from experimental data are a nonlinear, nonconvex optimization problem with multiple local minima. The conventional approach often requires carefully selected search bounds and iterative manual adjustment of initial guesses. The problem is more challenging for low-impedance electric vehicle battery cells, whose impedance spectra show complex diffusion phenomena, inductive effects, and higher measurement noise. To address this issue, this work presents a robust and automated hybrid global-to-local optimization framework for equivalent circuit model parameter identification using a genetic algorithm followed by Nelder–Mead refinement. The electrochemical impedance spectroscopy data reported in a previous study are adopted as a benchmark to evaluate this framework. The fitting results across different states of charge and temperatures demonstrate high convergence reliability, high fitting accuracy, robustness to initial conditions and search bounds, and computational efficiency. This proposed workflow provides a practical and reliable framework for equivalent circuit model parameter identification from electrochemical impedance spectroscopy of milliohm-level lithium-ion battery cells used for electric vehicles. Across six state-of-charge–temperature conditions, the genetic algorithm reached stable near-optimal solutions within approximately 150 iterations and final residual values ranging from 2.14×10−3 to 2.89×10−3. The following Nelder–Mead refinement achieved at most 0.012% additional residual value. In general, this workflow provides a practical and reliable approach for equivalent circuit model parameter identification from electrochemical impedance spectroscopy data and can be extended to a wider range of battery systems.

AppliedMathVol. 6(10)
George Mason University (US), University of Cincinnati (US)
Openalex Percentile: Top 21%
Advanced Battery Technologies Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.