Optimal Charging of Li-Ion Batteries with Coupled Electro-Thermal-Aging Dynamics

Hector Eduardo Perez, Xiaosong Hu, Satadru Dey, Scott J. Moura

Research output: Contribution to journalArticlepeer-review

227 Scopus citations


Fast and safe charging protocols are crucial for enhancing the practicality of batteries, especially for mobile applications, such as smartphones and electric vehicles. This paper proposes an innovative approach to devising optimally health-conscious fast-safe charge protocols. A multiobjective optimal control problem is mathematically formulated via a coupled electro-thermal-aging battery model, where electrical and aging submodels depend upon the core temperature captured by a two-state thermal submodel. The Legendre-Gauss-Radau pseudospectral method with adaptive multi-mesh-interval collocation is employed to solve the resulting highly nonlinear six-state optimal control problem. Charge time and health degradation are, therefore, optimally traded off, subject to both electrical and thermal constraints. Minimum-time, minimum-aging, and balanced charge scenarios are examined in detail. Sensitivities to the upper voltage bound, ambient temperature, and cooling convection resistance are investigated as well. Experimental results are provided to compare the tradeoffs between a balanced and traditional charge protocol.

Original languageEnglish (US)
Article number7867072
Pages (from-to)7761-7770
Number of pages10
JournalIEEE Transactions on Vehicular Technology
Issue number9
StatePublished - Sep 2017

All Science Journal Classification (ASJC) codes

  • Automotive Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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