On-line scheme for parameter estimation of nonlinear lithium ion battery equivalent circuit models using the simplified refined instrumental variable method for a modified Wiener continuous-time model
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The accuracy of identifying the parameters of models describing lithium ion batteries (LIBs) in typical battery management system (BMS) applications is critical to the estimation of key states such as the state of charge (SoC) and state of health (SoH). In applications such as electric vehicles (EVs) where LIBs are subjected to highly demanding cycles of operation and varying environmental conditions leading to non-trivial interactions of ageing stress factors, this identification is more challenging. This paper proposes an algorithm that directly estimates the parameters of a nonlinear battery model from measured input and output data in the continuous time-domain. The simplified refined instrumental variable method is extended to estimate the parameters of a Wiener model where there is no requirement for the nonlinear function to be invertible. To account for nonlinear battery dynamics, in this paper, the typical linear equivalent circuit model (ECM) is enhanced by a block-oriented Wiener configuration where the nonlinear memoryless block following the typical ECM is defined to be a sigmoid static nonlinearity. The nonlinear Weiner model is reformulated in the form of a multi-input, single-output linear model. This linear form allows the parameters of the nonlinear model to be estimated using any linear estimator such as the well-established least squares (LS) algorithm. In this paper, the recursive least square (RLS) method is adopted for online parameter estimation. The approach was validated on experimental data measured from an 18650-type Graphite/Lithium-Nickel-Cobalt-Aluminium-Oxide (C 6 /LiNiCoAlO 2 ) lithium-ion cell. A comparison between the results obtained by the proposed method and by nonparametric frequency-based approaches for obtaining the model parameters is presented. It is shown that although both approaches give similar estimates, the advantages of the proposed method are (i) the simplicity by which the algorithm can be employed on-line for updating nonlinear equivalent circuit model (NL-ECM) parameters and (ii) the improved convergence efficiency of the on-line estimation.
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The Wiener-type model can represent several nonlinear systems or processes, such as nonlinear lithium-ion battery, distillation column, polymerization reactor, pH neutralization process, heat exchanger, thermal process, robotic arm, and many more.
“The Wiener-type model can represent several nonlinear systems or processes, such as nonlinear lithium-ion battery [1], distillation column [2], polymerization reactor [3], pH neutralization process [4], [5],”
From Application of Fractional Calculus for Parameter Estimation of Nonlinear Wiener Systems With Time Delay (2024) · cites this paper as [1]
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- Authors
- Allafi, W., Uddin, K., Zhang, C., Mazuir Raja Ahsan Sha, R., & Marco, J.
- Affiliations
- University of Warwick (GB)
- Corresponding author
- Allafi, Walid
- Venue
- Applied Energy
- Publisher
- Elsevier BV
- Published
- 2017-10
- Volume
- 204
- Pages
- 497-508
- ISSN
- 0306-2619 (ISSN-L)
- OpenAlex
- W2738127660
- Cited by
- 66
- References
- 75
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 14 · 2023: 6 · 2022: 11 · 2021: 5 · 2020: 6 · 2019: 10 · 2018: 8
- FWCI
- 4.17
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Applied Energy (publishedVersion, cc-by-nc-nd)
- Warwick Research Archive Portal (University of Warwick) (acceptedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Spiral (Imperial College London) (submittedVersion, cc-by-nc-nd)
- Funders
- Engineering and Physical Sciences Research Council (EP/M507143/1)
- Topics
- Physical Sciences › Engineering › Automotive Engineering › Advanced Battery Technologies Research
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advancements in Battery Materials
- Keywords
- lithium-ion batteries, nonlinear equivalent circuit model, Wiener model, online parameter estimation, recursive least squares, block-oriented models, battery management systems, state of charge estimation, state of health estimation, 18650 cells, NCA cathode
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