TY - JOUR

T1 - Optimizing Regenerative Braking

T2 - A Variational Calculus Approach

AU - English, L. Q.

AU - Mareno, A.

AU - Chen, Xuan Lin

N1 - Publisher Copyright:
© 2021 L. Q. English et al.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

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U2 - 10.1155/2021/8002130

DO - 10.1155/2021/8002130

M3 - Article

AN - SCOPUS:85119927951

SN - 1024-123X

VL - 2021

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 8002130

ER -