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Mathematical Modelling and Simulation of Second Life Battery Pack with Heterogeneous State of Health

Author

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  • Farhad Salek

    (Faculty of Technology, Design and Environment, Oxford Brookes University, Oxford OX3 0BP, UK)

  • Aydin Azizi

    (Faculty of Technology, Design and Environment, Oxford Brookes University, Oxford OX3 0BP, UK)

  • Shahaboddin Resalati

    (Faculty of Technology, Design and Environment, Oxford Brookes University, Oxford OX3 0BP, UK)

  • Paul Henshall

    (Faculty of Technology, Design and Environment, Oxford Brookes University, Oxford OX3 0BP, UK)

  • Denise Morrey

    (Faculty of Technology, Design and Environment, Oxford Brookes University, Oxford OX3 0BP, UK)

Abstract

The service life of Lithium-ion batteries disposed from electric vehicles, with an approximate remaining capacity of 75–80%, can be prolonged with their adoption in less demanding second life applications such as buildings. A photovoltaic energy generation system integrated with a second life battery energy storage device is modelled mathematically to assess the design’s technical characteristics. The reviewed studies in the literature assume, during the modelling process, that the second life battery packs are homogeneous in terms of their initial state of health and do not consider the module-to-module variations associated with the state of health differences. This study, therefore, conducts mathematical modelling of second life battery packs with homogenous and heterogeneous state of health in module level using second-order equivalent circuit model (ECM). The developed second-order ECM is validated against experimental data performed in the lab on 3Ah NCM batteries. The degradation parameters are also investigated using the battery cell’s first life degradation data and exponential triple smoothing (ETS) algorithm. The second-order ECM is integrated with the energy generation system to evaluate and compare the performance of the homogenous and heterogeneous battery packs during the year. Results of this study revealed that in heterogeneous packs, a lower electrical current and higher SOC is observed in modules with lower state of health due to their higher ohmic resistance and lower capacity, compared to the other modules for the specific battery pack configuration used in this study. The methodology presented in this study can be used for mathematical modelling of second life battery packs with heterogenous state of health of cells and modules, the simulation results of which can be employed for obtaining the optimum energy management strategy in battery management systems.

Suggested Citation

  • Farhad Salek & Aydin Azizi & Shahaboddin Resalati & Paul Henshall & Denise Morrey, 2022. "Mathematical Modelling and Simulation of Second Life Battery Pack with Heterogeneous State of Health," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3843-:d:945011
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    References listed on IDEAS

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    1. Mariam Gómez Sánchez & Yunesky Masip Macia & Alejandro Fernández Gil & Carlos Castro & Suleivys M. Nuñez González & Jacqueline Pedrera Yanes, 2020. "A Mathematical Model for the Optimization of Renewable Energy Systems," Mathematics, MDPI, vol. 9(1), pages 1-16, December.
    2. Boccalatte, Alessia & Fossa, Marco & Ménézo, Christophe, 2022. "Calculation of the incidence angle modifier of a Linear Fresnel Collector: The proposed declination and zenith angle model compared to the biaxial factored approach," Renewable Energy, Elsevier, vol. 185(C), pages 123-138.
    3. Mahmoud A. Mossa & Olfa Gam & Nicola Bianchi, 2022. "Dynamic Performance Enhancement of a Renewable Energy System for Grid Connection and Stand-Alone Operation with Battery Storage," Energies, MDPI, vol. 15(3), pages 1-42, January.
    4. Mathews, Ian & Xu, Bolun & He, Wei & Barreto, Vanessa & Buonassisi, Tonio & Peters, Ian Marius, 2020. "Technoeconomic model of second-life batteries for utility-scale solar considering calendar and cycle aging," Applied Energy, Elsevier, vol. 269(C).
    5. Assunção, André & Moura, Pedro S. & de Almeida, Aníbal T., 2016. "Technical and economic assessment of the secondary use of repurposed electric vehicle batteries in the residential sector to support solar energy," Applied Energy, Elsevier, vol. 181(C), pages 120-131.
    6. Ovidiu Ivanov & Bogdan-Constantin Neagu & Gheorghe Grigoras & Florina Scarlatache & Mihai Gavrilas, 2021. "A Metaheuristic Algorithm for Flexible Energy Storage Management in Residential Electricity Distribution Grids," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    7. Güven, Aykut Fatih & Yörükeren, Nuran & Samy, Mohamed Mahmoud, 2022. "Design optimization of a stand-alone green energy system of university campus based on Jaya-Harmony Search and Ant Colony Optimization algorithms approaches," Energy, Elsevier, vol. 253(C).
    8. Munankarmi, Prateek & Maguire, Jeff & Balamurugan, Sivasathya Pradha & Blonsky, Michael & Roberts, David & Jin, Xin, 2021. "Community-scale interaction of energy efficiency and demand flexibility in residential buildings," Applied Energy, Elsevier, vol. 298(C).
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