Joint dynamics and efficient initialization techniques for potentials and currents in the P2D battery model

Scientific Reports, vol. 15, pp. 16477

Abstract

Solving the physics-based pseudo-two-dimensional (P2D) models involves using iterative methods, such as the Newton or the shooting method to solve a boundary condition problem. To use these iterative methods effectively, it is imperative to transform the boundary condition problem into an initial condition problem. This, in turn, necessitates initializing certain parameters, often done by providing guess values. The choice of these initial guess values can significantly impact convergence speed. This study proposes an analytically derived linear solution for initializing these conditions as an approximate guess. The proposed approach is not only computationally efficient, enhancing convergence speed and overall performance of the P2D model, but also straightforward to implement, making it a practical solution.

Authors 5

1. Keivan Haghverdi Aachen Institute of Physical Chemistry

   RWTH Aachen University · Flemish Institute for Technological Research

   Affiliation as printed

   EnergyVille, Thor park 8310, Genk, Belgium

   Institute of Physical Chemistry, RWTH Aachen University, Aachen, 52074, Germany

   VITO, Boeretang 200, 2400, Mol, Belgium

2. Dmitri L. Danilov corresponding

   Forschungszentrum Jülich · Eindhoven University of Technology

   Affiliation as printed

   Eindhoven University of Technology, 5600 MB, Eindhoven, the Netherlands. d.danilov@fz-juelich.de

   Institute of Energy Technologies, Fundamental Electrochemistry (IET-1), Forschungszentrum Jülich, Jülich, 52425, Germany. d.danilov@fz-juelich.de

3. Grietus Mulder

   Flemish Institute for Technological Research

   Affiliation as printed

   EnergyVille, Thor park 8310, Genk, Belgium

   VITO, Boeretang 200, 2400, Mol, Belgium

4. Luis D. Couto

   Flemish Institute for Technological Research

   Affiliation as printed

   EnergyVille, Thor park 8310, Genk, Belgium

   VITO, Boeretang 200, 2400, Mol, Belgium

5. Rüdiger‐A. Eichel Aachen Institute of Physical Chemistry Faculty of Mechanical Engineering

   RWTH Aachen University · Forschungszentrum Jülich

   Affiliation as printed

   Faculty of Mechanical Engineering, RWTH Aachen University, Aachen, 52062, Germany

   Institute of Energy Technologies, Fundamental Electrochemistry (IET-1), Forschungszentrum Jülich, Jülich, 52425, Germany

   Institute of Physical Chemistry, RWTH Aachen University, Aachen, 52074, Germany