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Time‐dependent global sensitivity analysis with active subspaces for a lithium ion battery model
Author(s) -
Constantine Paul G.,
Doostan Alireza
Publication year - 2017
Publication title -
statistical analysis and data mining: the asa data science journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.381
H-Index - 33
eISSN - 1932-1872
pISSN - 1932-1864
DOI - 10.1002/sam.11347
Subject(s) - linear subspace , sensitivity (control systems) , computer science , subspace topology , heuristics , exploit , battery (electricity) , lithium (medication) , set (abstract data type) , lithium ion battery , data mining , artificial intelligence , mathematics , engineering , electronic engineering , power (physics) , medicine , physics , geometry , computer security , quantum mechanics , programming language , endocrinology , operating system
Renewable energy researchers use computer simulation to aid the design of lithium ion storage devices. The underlying models contain several physical input parameters that affect model predictions. Effective design and analysis must understand the sensitivity of model predictions to changes in model parameters, but global sensitivity analyses become increasingly challenging as the number of input parameters increases. Active subspaces are part of an emerging set of tools for discovering and exploiting low‐dimensional structures in the map from high‐dimensional inputs to model outputs. We extend linear and quadratic model‐based heuristics for active subspace discovery to time‐dependent processes and apply the resulting technique to a lithium ion battery model. The results reveal low‐dimensional structure and sensitivity metrics that a designer may exploit to study the relationship between parameters and predictions.