[1] Zou, C., Manzie, C., & Nešić, D., 2016. A framework for simplification of PDE-based lithium-ion battery models. IEEE Transactions on Control Systems Technology, 24(5), pp.1594-1609. [PDF]
[2] Li, Y., Wik, T., Xie, C., Huang, Y., Xiong, B., Tang, J., & Zou, C. (2022). Control-oriented modeling of all-solid-state batteries using physics-based equivalent circuits. IEEE Transactions on Transportation Electrification, 8(2), 2080-2092. [PDF]
[3] Li, Y., Karunathilake, D., Vilathgamuwa, D. M., Mishra, Y., Farrell, T. W., & Zou, C. (2022). Model order reduction techniques for physics-based lithium-ion battery management: A survey. IEEE Industrial Electronics Magazine, 16(3), 36-51. [PDF]
[4] Huang, Y., Zou, C. Li, Y., & Wik, T. (2023). MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling. arXiv:2304.14422. Received the Best Presentation Award of the 2022 International Conference on Energy and AI. [PDF]
The concept of integrating physics-based and data-driven approaches has become popular for modeling sustainable energy systems. However, the existing literature mainly focuses on the data-driven surrogates generated to replace physics-based models. These models often trade accuracy for speed but lack the generalisability, adaptability, and interpretability inherent in physics-based models, which are often indispensable in the modeling of real-world dynamic systems for optimization and control purposes. In this work, we propose a novel architecture for generating model-integrated neural networks (MINN) to allow integration on the level of learning physics-based dynamics of the system. The obtained hybrid model solves an unsettled research problem in control-oriented modeling, i.e., how to obtain an optimally simplified model that is physically insightful, numerically accurate, and computationally tractable simultaneously.
The proposed MINN architecture for dynamic systems. (a) An iterative update of the hidden states h, output y, and conserved quantities \bar{g}, is controlled by input u(t) at time t through physics-based hidden units. The time stepping (\delta t is adaptive to the dynamics thanks to a skipping mechanism via the numerical solver. (b) The design of a physics-based hidden unit contains physics-based equations, a deep learning-enabled function G_NN and an output function Y.