Document Type
Article
Publication Date
11-12-2021
Department
Physics
Language
English
Publication Title
Mathematical Problems in Engineering
Abstract
We begin by analyzing, using basic physics considerations, under what conditions it becomes energetically favorable to use aggressive regenerative braking to reach a lower speed over “coasting” where one relies solely on air drag to slow down. We then proceed to reformulate the question as an optimization problem to find the velocity profile that maximizes battery charge. Making a simplifying assumption on battery-charging efficiency, we express the recovered energy as an integral quantity, and we solve the associated Euler–Lagrange equation to find the optimal braking curves that maximize this quantity in the framework of variational calculus. Using Lagrange multipliers, we also explore the effect of adding a fixed-displacement constraint.
DOI
10.1155/2021/8002130
Recommended Citation
English, L.Q., A. Mareno, and Xuan-Lin Chen. "Optimizing Regenerative Braking: A Variational Calculus Approach." Mathematical Problems in Engineering 2021: Article ID 8002130. https://www.hindawi.com/journals/mpe/2021/8002130/
Comments
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Hindawi's Website.
Copyright © 2021 L. Q. English et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Open access publication of this article was made possible with grant support from Waidner-Spahr Library distributed through the Dickinson College Research & Development Committee.