"Multi-Battery Model for Optimal Performance and LQR Regulation" by Sofia Brumbaugh

Date of Award

Spring 2024

Document Type

Thesis

Publisher

Santa Clara : Santa Clara University, 2024

Degree Name

Master of Science (MS)

Department

Electrical and Computer Engineering

First Advisor

Maryam Khanbaghi

Abstract

Opportunities for residential microgrids that can be disconnected from the main grid are becoming ever more prevalent with the usage of solar power and energy storage systems. With this possibility comes the requirement of controlling and managing such systems. This thesis presents a novel multi-battery model designed to optimize the performance of a residential energy system comprising an electric vehicle (EV), a stationary battery, and solar panels, regulated by Linear Quadratic Regulator (LQR) control. The proposed model extends the kinetic battery model to account for the interaction between two connected batteries. The research departs from economic optimization, instead focusing on the performance of the batteries in relation to their state of charge (SOC). Simulation results demonstrate the feasibility of the model in maintaining minimum power delivery to the residential load and EV, even under varying solar input and load demand scenarios. The findings suggest potential applications in larger-scale systems, with recommendations for incorporating first-passage time theory and tracking realistic load profiles to further improve performance.

Available for download on Friday, April 09, 2027

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