Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2025

Committee Chair or Co-Chairs

Mostafa Zahed

Committee Members

Maryam Skafyan, Jeff R. Knisley

Abstract

This thesis provides an effective statistical model to predict the real-time state of lithium-ion batteries for reliable Battery Management Systems (BMS). It highlights battery data (voltage, current, temperature) as smooth functional curves. The principal method demonstrates diminishing trends to health outcomes like State of Health (SoH) and Remaining Useful Life (RUL) by employing Functional Principal Component Analysis (FPCA) and Bayesian Functional Linear Models (FLMs). The primary objective is to figure out how uncertain forecasts are. Simulations demonstrate that the highest accuracy (lowest MSE) is achieved through low noise levels along with large sample sizes. The final system provides a highly accurate and noise-resilient prognosis technique by integrating a multi-tier threshold monitoring system (e.g., 80\%, 50\% SoH) to translate forecasts into actionable warnings and predictive replacement schedules.

Document Type

Thesis - unrestricted

Copyright

Copyright by the authors.

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