Simultaneous model selection and parameter estimation for lithium-ion batteries: A sequential MINLP solution approach

Equivalent circuit model (ECM) is a practical and commonly used tool not only in state of charge (SOC) estimation but also in state of health (SOH) monitoring for lithium‐ion batteries (LIBs). The functional forms of circuit parameters with respect to SOC in ECM are usually empirical determined, whi...

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Veröffentlicht in:AIChE journal Jg. 62; H. 1; S. 78 - 89
Hauptverfasser: Shen, Jia-Ni, He, Yi-Jun, Ma, Zi-Feng
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Blackwell Publishing Ltd 01.01.2016
American Institute of Chemical Engineers
Schlagworte:
Batteries
Bismuth
Circuits
Complexity
Construction
Construction methods
Criteria
Discharge
Electric charge
Electrochemical machining
equivalent circuit model
Equivalent circuits
Fittings
Functional anatomy
functional forms selection
Health
Implicit methods
Integer programming
Lithium
Lithium-ion batteries
Mathematical models
mixed-integer nonlinear programming
Nonlinear programming
Optimization
Parameter estimation
Rechargeable batteries
State of charge
ISSN:0001-1541, 1547-5905
Online-Zugang:Volltext
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Zusammenfassung:Equivalent circuit model (ECM) is a practical and commonly used tool not only in state of charge (SOC) estimation but also in state of health (SOH) monitoring for lithium‐ion batteries (LIBs). The functional forms of circuit parameters with respect to SOC in ECM are usually empirical determined, which cannot guarantee to obtain a compact and simple model. A systematical solution framework for simultaneous functional form selection and parameter estimation is proposed. A bi‐objective mixed‐integer nonlinear programming (MINLP) model is first constructed. Two solution approaches, namely the explicit and implicit methods, are then developed to balance model accuracy and model complexity. The former explicitly treats the model complexity as a constraint and the latter implicitly embeds the model complexity into the objective as a penalty. Both approaches require sequential solution of the transformed MINLP model and an ideal and nadir ideal solutions‐based criterion is utilized to terminate the solution procedure for determining the optimal functional forms, in which ideal solution and nadir ideal solution represent the best and worst of each objective, respectively. Both explicit and implicit approaches are thoroughly evaluated and compared through experimental pulse current discharge test and hybrid pulse power characterization test of a commercial LIB. The fitting and prediction results illustrate that the proposed methods can effectively construct an optimal ECM with minimum complexity and prescribed precision requirement. It is thus indicated that the proposed MINLP‐based solution framework, which could automatically guide the optimal ECM construction procedure, can be greatly helpful to both SOC estimation and SOH monitoring for LIBs. © 2015 American Institute of Chemical Engineers AIChE J, 62: 78–89, 2016
Bibliographie:Major State Basic Research Development Program of China - No. 2014CB239703
ArticleID:AIC15030
ark:/67375/WNG-X2SXWRX6-7
istex:F2BC89A9B9BA1199812F1D3C87DAD3EFE6DA364D
Project-sponsored by SRF for ROCS, SEM
National Natural Science Foundation of China - No. 21576163; No. 21006084; No. 21336003
Science and Technology Commission of Shanghai Municipality - No. 14DZ2250800
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ISSN:0001-1541
1547-5905
DOI:10.1002/aic.15030