Application of PGD separation of space to create a reduced-order model of a lithium-ion cell structure

Frontiers in Materials

Materials

Mustapha Ziane¹  Angelo Pasquale²  Victor Champaney²  Francisco Chinesta³  Florian Feist⁴  Marco Raffler⁴  Christian Ellersdorfer⁴  Alexander Schmid⁴ 

[1] ESI Group, Paris, France;PIMM Lab, ENSAM Institute of Technology, Paris, France;ESI Group Chair, ENSAM Institute of Technology, Paris, France;PIMM Lab, ENSAM Institute of Technology, Paris, France;ESI Group Chair, ENSAM Institute of Technology, Paris, France;ESI Group, Paris, France;Vehicle Safety Institute, Graz University of Technology, Graz, Austria;

关键词: reduced-order modeling;    proper generalized decomposition;    computational efficiency;    lithium-ion battery;    separation of space;   

DOI  :  10.3389/fmats.2023.1212400

 received in 2023-04-26, accepted in 2023-07-31,  发布年份 2023

来源: Frontiers

【 摘 要 】

Lithium-ion cells can be considered a laminate of thin plies comprising the anode, separator, and cathode. Lithium-ion cells are vulnerable toward out-of-plane loading. When simulating such structures under out-of-plane mechanical loads, subordinate approaches such as shells or plates are sub-optimal because they are blind toward out-of-plane strains and stresses. On the other hand, the use of solid elements leads to limitations in terms of computational efficiency independent of the time integration method. In this paper, the bottlenecks of both (implicit and explicit) methods are discussed, and an alternative approach is shown. Proper generalized decomposition (PGD) is used for this purpose. This computational method makes it possible to divide the problem into the characteristic in-plane and out-of-plane behaviors. The separation of space achieved with this method is demonstrated on a static linearized problem of a lithium-ion cell structure. The results are compared with conventional solution approaches. Moreover, an in-plane/out-of-plane separated representation is also built using proper orthogonal decomposition (POD). This simply serves to compare the in-plane and out-of-plane behaviors estimated by the PGD and does not allow computational advantages relative to conventional techniques. Finally, the time savings and the resulting deviations are discussed.

【 授权许可】

Unknown   
Copyright © 2023 Schmid, Pasquale, Ellersdorfer, Ziane, Raffler, Champaney, Feist and Chinesta.