Reduction of Model Order Based on Proper Orthogonal Decomposition for Lithium-Ion Battery Simulations

A reduced-order model ROM is developed using proper orthogonal decomposition POD for a physics-based lithium-ion battery model. The methodology to obtain the proper orthogonal modes and to analyze their optimality is included. The POD-based ROM for a lithium-ion battery is used to simulate a charge/discharge process and the behavior of a battery pack. Compared to the physics-based model, the computational time to solve the ROM is significantly less, and the two models show excellent agreement.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  V. Ralph Algazi,et al.  On the optimality of the Karhunen-Loève expansion (Corresp.) , 1969, IEEE Trans. Inf. Theory.

[3]  Azriel Rosenfeld,et al.  Digital Picture Processing , 1976 .

[4]  M. Doyle,et al.  Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell , 1993 .

[5]  M. Doyle,et al.  Simulation and Optimization of the Dual Lithium Ion Insertion Cell , 1994 .

[6]  Chaoyang Wang,et al.  Micro‐Macroscopic Coupled Modeling of Batteries and Fuel Cells I. Model Development , 1998 .

[7]  K. Kunisch,et al.  Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition , 1999 .

[8]  Chaoyang Wang,et al.  Thermal‐Electrochemical Modeling of Battery Systems , 2000 .

[9]  Torsten Söderström,et al.  Reduced order models for diffusion systems , 2001 .

[10]  Chaoyang Wang,et al.  Analysis of Electrochemical and Thermal Behavior of Li-Ion Cells , 2003 .

[11]  Marc Doyle,et al.  Computer Simulations of a Lithium-Ion Polymer Battery and Implications for Higher Capacity Next-Generation Battery Designs , 2003 .

[12]  Ralph E. White,et al.  Development of First Principles Capacity Fade Model for Li-Ion Cells , 2004 .

[13]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[14]  V. Subramanian,et al.  Efficient Macro-Micro Scale Coupled Modeling of Batteries , 2005 .

[15]  Ralph E. White,et al.  Review of Models for Predicting the Cycling Performance of Lithium Ion Batteries , 2006 .

[16]  Shengyi Liu An analytical solution to Li/Li+ insertion into a porous electrode , 2006 .

[17]  Venkat R. Subramanian,et al.  Towards "Real-Time" Simulation of Physics Based Lithium Ion Battery Models , 2007 .