Battery Cell Model Coordinate Transformation for Fast Simulation
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Solution Overview
Problem
Current battery modeling techniques are computationally inefficient and slow due to the large number of differential algebraic equations (DAEs) required to simulate lithium-ion battery behavior, especially when considering high discharge rates and thermal effects, which hinders fast simulation and control applications.
Innovation Solution
A coordinate transformation method combined with orthogonal collocation reformulation is applied to reduce the number of DAEs by transforming the battery's regions into a single domain, allowing for faster convergence and more efficient computation while maintaining the fidelity of the physics-based model.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a full-order physics-based model with multiple regions is used to accurately simulate battery behavior, then modeling precision is improved, but computational time increases significantly
Solution Approach 1:
The patent combines multiple battery regions (positive electrode, negative electrode, separator) into a single computational domain. This is achieved by transforming the spatial coordinates of each region to map onto a unified domain, allowing the governing partial differential equations to be solved simultaneously across all regions without requiring separate discretization and solution processes for each region. This merging reduces the overall computational complexity and solution time while preserving the physical accuracy of the multi-region model.
2Productivity
If the number of DAEs is reduced through model simplification, then computational efficiency is improved, but modeling precision may deteriorate
Solution Approach 1:
The patent transforms the spatial parameters of the battery model by introducing dimensionless coordinates that map multiple physical regions onto a single computational domain. This parameter transformation allows the governing equations to be expressed in a unified form without simplifying the underlying physics, thereby maintaining modeling precision while reducing computational complexity. The transformation preserves the essential physical characteristics of each region while enabling more efficient numerical solution.
Data Source
AI summary
A computer-implemented method for modeling the amount of current discharged by a battery is provided. The method is implemented by a computing device communicatively coupled with a memory, and includes generating, by the computing device, a model of at least one battery cell comprising a positive electrode region, a negative electrode region, and a separator region. The method also includes transforming the positive electrode region, the negative electrode region, and the separator region of the battery into a single region in the model. In addition, the method includes generating, by the computing device, a plurality of trial functions associated with the single region, and determining, by the computing device, the amount of current discharged from the battery cell based on the trial functions.