Optimizing Regenerative Braking: A Variational Calculus Approach

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 optimi...

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Autores principales:	L. Q. English, A. Mareno, Xuan-Lin Chen
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/95ebce73c3f84dc3bfb341bda855cf9e
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spelling	oai:doaj.org-article:95ebce73c3f84dc3bfb341bda855cf9e2021-11-22T01:10:46ZOptimizing Regenerative Braking: A Variational Calculus Approach1563-514710.1155/2021/8002130https://doaj.org/article/95ebce73c3f84dc3bfb341bda855cf9e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8002130https://doaj.org/toc/1563-5147We 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.L. Q. EnglishA. MarenoXuan-Lin ChenHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 L. Q. English A. Mareno Xuan-Lin Chen Optimizing Regenerative Braking: A Variational Calculus Approach
description	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.
format	article
author	L. Q. English A. Mareno Xuan-Lin Chen
author_facet	L. Q. English A. Mareno Xuan-Lin Chen
author_sort	L. Q. English
title	Optimizing Regenerative Braking: A Variational Calculus Approach
title_short	Optimizing Regenerative Braking: A Variational Calculus Approach
title_full	Optimizing Regenerative Braking: A Variational Calculus Approach
title_fullStr	Optimizing Regenerative Braking: A Variational Calculus Approach
title_full_unstemmed	Optimizing Regenerative Braking: A Variational Calculus Approach
title_sort	optimizing regenerative braking: a variational calculus approach
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/95ebce73c3f84dc3bfb341bda855cf9e
work_keys_str_mv	AT lqenglish optimizingregenerativebrakingavariationalcalculusapproach AT amareno optimizingregenerativebrakingavariationalcalculusapproach AT xuanlinchen optimizingregenerativebrakingavariationalcalculusapproach
_version_	1718418356535558144

Optimizing Regenerative Braking: A Variational Calculus Approach

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