Electrothermal Simulations of Battery Systems
Electrical model
Thermal model
Issue: long FEM simulation time


Thermal Modeling Using Model Order Reduction
 Aim: generate a low dimensional approximation of the battery system
 Mathematical method (i.e., does not rely on intuition)
 Typically: n~10000100000; r~100
 Results for a single pouch cell:
 Mean temperature on electrode stack
 Error < 0.1°C
 FEM: 2000s (4 CPUs)
 MOR: 5s (1 CPU) > 1600:1 ratio
 Model order reduction (MOR): needed to make system level simulation feasible
Simulation at system level with MOR
 System design: need to change parameters (e.g., cooling condition)
 MOR: system must be reduced again to take such a change into account ? not practical for system design
Simulation at system level with PMOR
 Parametric MOR (PMOR): parameters can be changed for reduced system, no need for a new reduction
 Enables system level design with practicable simulation times
PMOR And System Design
 PMOR allows complex system simulation with variable parameters, e.g. for a battery system, a variable flow rate of the liquid cooling.
 Allows consequential a fast analysis of the developed system with the current system design
 Changes and improvements can be made fast during the development to the system, leading to a better product with a faster time to market.