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Optimizing Regenerative Braking: A Variational Calculus Approach
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Journal 2021Embargo end date: 01 Jan 2021Publisher:Wiley
Authors: Lars Q. English; Xuan-Lin Chen; Xuan-Lin Chen; A. Mareno;
doi: 10.1155/2021/8002130 , 10.48550/arxiv.2106.14686
arXiv: 2106.14686 , http://arxiv.org/abs/2106.14686
doi: 10.1155/2021/8002130 , 10.48550/arxiv.2106.14686
arXiv: 2106.14686 , http://arxiv.org/abs/2106.14686
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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Mathematical Problems in Engineering
Article . 2021 . Peer-reviewed
License: CC BY
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License: CC BY
Data sources: UnpayWall
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
Mathematical Problems in Engineering
Journal
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.48550/ar...
Article . 2021
License: arXiv Non-Exclusive Distribution
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Hindawi Publishing Corporation
Article . 2021
Data sources: Hindawi Publishing Corporation
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Mathematical Problems in Engineering
Article . 2021 . Peer-reviewed
License: CC BY
Data sources: Crossref
Mathematical Problems in Engineering
Article
License: CC BY
Data sources: UnpayWall
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
Mathematical Problems in Engineering
Journal
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.48550/ar...
Article . 2021
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
Hindawi Publishing Corporation
Article . 2021
Data sources: Hindawi Publishing Corporation
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shareshareShare
citeCite
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Optimizing Regenerative Braking: A Variational Calculus Approach
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Journal 2021Embargo end date: 01 Jan 2021Publisher:Wiley
Authors: Lars Q. English; Xuan-Lin Chen; Xuan-Lin Chen; A. Mareno;
doi: 10.1155/2021/8002130 , 10.48550/arxiv.2106.14686
arXiv: 2106.14686 , http://arxiv.org/abs/2106.14686
doi: 10.1155/2021/8002130 , 10.48550/arxiv.2106.14686
arXiv: 2106.14686 , http://arxiv.org/abs/2106.14686
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.
Mathematical Problem...arrow_drop_down
Mathematical Problems in Engineering
Article . 2021 . Peer-reviewed
License: CC BY
Data sources: Crossref
Mathematical Problems in Engineering
Article
License: CC BY
Data sources: UnpayWall
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
Mathematical Problems in Engineering
Journal
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.48550/ar...
Article . 2021
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
Hindawi Publishing Corporation
Article . 2021
Data sources: Hindawi Publishing Corporation
linkLink to
shareshareShare
citeCite
addClaim
Please grant OpenAIRE to access and update your ORCID works.
This Research product is the result of merged Research products in OpenAIRE.

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This Research product is the result of merged Research products in OpenAIRE.

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more_vert
Mathematical Problem...arrow_drop_down
Mathematical Problems in Engineering
Article . 2021 . Peer-reviewed
License: CC BY
Data sources: Crossref
Mathematical Problems in Engineering
Article
License: CC BY
Data sources: UnpayWall
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
Mathematical Problems in Engineering
Journal
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.48550/ar...
Article . 2021
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
Hindawi Publishing Corporation
Article . 2021
Data sources: Hindawi Publishing Corporation
linkLink to
shareshareShare
citeCite
addClaim
Please grant OpenAIRE to access and update your ORCID works.
This Research product is the result of merged Research products in OpenAIRE.

You have already added works in your ORCID record related to the merged Research product.
This Research product is the result of merged Research products in OpenAIRE.

You have already added works in your ORCID record related to the merged Research product.
Select content type to embed
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