Batteries are a building block of modern technology. They are especially key in our transition away from fossil fuels because they present possible solutions to two key hurdles: (1) transportation electrification and (2) renewable energy storage. The overarching topic of my graduate studies has been control and estimation problems relating to batteries. There are a wealth of problems in this space that are growing in importance as the demand for batteries increases. In this dissertation, I will focus on my work pertaining to battery pack thermal management.
A key challenge in the optimal use of batteries is that their performance is temperature dependent. A large body of work has quantified the effect that temperature has on Lithium ion batteries. Further work has looked at using this information to better model and control single battery cells accounting for temperature. From here, an interesting direction is to address the emerging problems that arise when we assemble many battery cells into battery packs. One particular challenge is that battery cells in packs perform and age differently due to cell-to-cell variations in temperature across the pack. This variation can be attributed to variations in cell heat generation, such as differences in current and electrical connectivity, as well as differences in battery thermal management system (BTMS) designs.
To effectively design thermal management systems for battery packs, it is essential that we use models to gain fast, low-cost insights on our designs. Modeling of thermal management systems in the literature is often done with computational fluid dynamic (CFD) models that simulate Naiver-Stokes and heat transfer partial differential equations (PDEs) simultaneously to gain high fidelity understanding of battery pack temperature distribution. Chapter 2 proposes a lower order 1D PDE model for battery packs that are fluid cooled. The proposed model is a system of two PDEs where one represents diffusion of heat in the pack, one represents advection of heat in the fluid cooling medium, and they are coupled via a first order heat transfer term. The proposed model allows for faster simulation while also allowing for interesting theoretical analysis of these systems. Additionally, Chapter 2 presents a numerical scheme for simulating this PDE that is demonstrated to be conservative in physical quantities.
The second technical section of this work addresses the problem of temperature non-uniformity in battery packs. To solve this problem, many previous works have used CFD models to design and test proposed thermal management designs. The common finding in the literature is that for better uniformity you must encourage more heat transfer at the part of the pack that gets the hottest. However, due to the complexity of the CFD models that are used, it is hard to use these models to derive generalized results. Chapter 3 takes the reduced order model presented in Chapter 2 and uses it to analytically derive an expression for the optimal thermal resistance that drives temperature to be uniform throughout the pack. This design is shown to homogenize both the pack temperature and cell aging. Further, its performance is compared to other designs via a simulation study.