Abstract
This study introduces an advanced thermal model for lithiumion battery packs, examining cell and module-level heat dynamics. Heat within cells originates from complex electrochemical reactions described by Fick’s second law. The Single Particle Model (SPM) utilizes two Partial Differential Equations (PDEs) to analyze electrode dynamics, considering electric power generation via Ohm’s law and subsequent heat generation from Joule’s effect. Conduction interactions within cells and the battery casing are assessed using a thermal resistance model. Convective heat within the liquid electrolyte is also considered in the cell heat analysis. This cumulative heat is averaged per cell within a module to determine total module heat. A transient heat equation, employing PDEs, analyzes internal module temperatures, incorporating the heat exchange system as boundary conditions, creating a system of PDEs for each module. This approach, distinct from computational fluid dynamics studies, focuses on detailed cell-level modeling using PDEs, extending to module-level heat analysis with boundary conditions. The study’s novelty lies in its method of employing multiple PDEs to model module temperature within battery packs, improving accuracy and safety assessment.
