Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model

Batteries, vol. 10, pp. 314

Abstract

This work introduces a sophisticated impedance-based equivalent circuit model of the electrochemical processes inside a lithium-ion battery cell. The influence on the electrical voltage response is derived and merged into a mathematical calculation framework describing all fundamental phenomena inside a battery. The parameters, whose sole influences on the electric behaviour cannot be separated at the cell level, are summarised to derive a model with purely electrical quantities. We significantly reduce the model order compared to a physicochemical model while ensuring a minimal approximation error. Utilising the findings from the model derivation, we develop a parameterisation procedure to separate the individual processes occurring in the battery and to support a hypothesis of the assignment to positive and negative electrodes based on several indicia. For this purpose, electrochemical impedance spectroscopy and correlation analysis are used to calculate the distribution of the time constants. The final parameterised model has physics-based parameter variations, which ensures that the simulation over broad ranges of temperatures and states of charge results in a reasonable voltage response. The model’s physical basis enables extrapolation beyond the measured operation area, and the model verification shows less than a 10 mV root mean square error over a wide range of operations.

Authors 5

1. Stephan Bihn corresponding Aachen Center for Ageing Chair for Electrochemical Energy Conversion and Storage Systems Institute for Power Electronics and Electrical Drives (ISEA)

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Center for Ageing, Reliability and Lifetime Prediction of Electrochemical and Power Electronics Systems (CARL), RWTH Aachen University, 52074 Aachen, Germany

   Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, Germany

   Juelich Aachen Research Alliance, JARA-Energy, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

2. Jonas Rinner Aachen Center for Ageing Chair for Electrochemical Energy Conversion and Storage Systems Institute for Power Electronics and Electrical Drives (ISEA)

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Center for Ageing, Reliability and Lifetime Prediction of Electrochemical and Power Electronics Systems (CARL), RWTH Aachen University, 52074 Aachen, Germany

   Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, Germany

   Juelich Aachen Research Alliance, JARA-Energy, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

3. Heiko Witzenhausen Aachen Chair for Electrochemical Energy Conversion and Storage Systems Institute for Power Electronics and Electrical Drives (ISEA)

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, Germany

   Juelich Aachen Research Alliance, JARA-Energy, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

4. Florian Ringbeck Aachen Center for Ageing Chair for Electrochemical Energy Conversion and Storage Systems Institute for Power Electronics and Electrical Drives (ISEA)

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Center for Ageing, Reliability and Lifetime Prediction of Electrochemical and Power Electronics Systems (CARL), RWTH Aachen University, 52074 Aachen, Germany

   Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, Germany

   Juelich Aachen Research Alliance, JARA-Energy, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

5. Dirk Uwe Sauer Aachen Center for Ageing Chair for Electrochemical Energy Conversion and Storage Systems Institute for Power Electronics and Electrical Drives (ISEA) Institute for Power Generation and Storage Systems (PGS) E.ON ERC

   Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Center for Ageing, Reliability and Lifetime Prediction of Electrochemical and Power Electronics Systems (CARL), RWTH Aachen University, 52074 Aachen, Germany

   Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, Germany

   Helmholtz Institute Muenster (HI MS), IEK-12, Forschungszentrum Juelich, Wilhelm-Johnen-Straße, 52428 Jülich, Germany

   Institute for Power Generation and Storage Systems (PGS) @ E.ON ERC, RWTH Aachen University, Mathieustraße 10, 52074 Aachen, Germany

   Juelich Aachen Research Alliance, JARA-Energy, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany