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Optimal Tyre Management for a Formula One Car

Dissertation (MEng (Electronic Engineering))--University of Pretoria, 2020.

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Other Authors: Limebeer, David J. N.
Format: Thesis
Language:English
Published: University of Pretoria 2021
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access_status_str Open Access
author2 Limebeer, David J. N.
author_browse Limebeer, David J. N.
author_facet Limebeer, David J. N.
collection Thesis
dc_rights_str_mv © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Dissertation (MEng (Electronic Engineering))--University of Pretoria, 2020.
format Thesis
id oai:repository.up.ac.za:2263/78028
institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:40:17.184Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/78028 Optimal Tyre Management for a Formula One Car Limebeer, David J. N. Wilhelm.West@tuks.co.za Craig, Ian K. West, Wilhelm Joachim Thermal tyre model Tyre wear Optimal control Formula One racing Grip modelling UCTD Dissertation (MEng (Electronic Engineering))--University of Pretoria, 2020. Motorsport has become a multidisciplinary sport in which skilled engineers and strategists play as big a part in the team’s success as the athlete driving the car. In Formula One it is common practice for teams to have dedicated resources on the track that are supported by a second team back at the home base who analyses telemetry data and performs simulations to refine the racing strategy. Optimal control calculations are typically used to optimise vehicle setup parameters (such as ride height and heave spring stiffness) and driver inputs (such as braking and steering) specific to each track. Traditionally this approach has been employed by minimising time over a single lap. Although this is useful in qualifying simulations, there is an unexplored element of optimising a vehicle’s "race pace". Drivers complete qualifying laps using minimal fuel with new tyres to get the best possible lap time but this performance cannot be sustained throughout the whole race. Drivers need to manage their tyres so that they do not wear prematurely and have a detrimental effect on their performance. This work places an emphasis on tyre modelling and in particular how optimal control can be used to optimise a tyre management strategy. A model has been presented that reduces grip as a function of tyre wear. This ensures that the qualifying pace cannot be sustained indefinitely. A thermodynamic model consisting of two states (surface and carcass temperature) is used to calculate tyre wear, which ultimately dictates how much grip can be provided by each tyre. The objective function for the optimal control problem is to minimise time over multiple laps and the absolute tyre wear (in mm tread) is constrained to a predefined limit. This ensures that the consequences of pushing the car to its limits are considered: overheating temperatures and accelerated wear will be detrimental to racing performance. The optimal control solver needs to manage the tyre temperatures carefully over a racing distance. It has been shown that lap times degrade more severely as the tyres reach the end of their life. At some point in the race this drop off in performance will render the car uncompetitive and strategists can use this model to evaluate the performance of different tyre compounds at each track and to strategically plan pit stops during a race. Electrical, Electronic and Computer Engineering MEng (Electronic Engineering) Unrestricted 2021-01-14T18:16:23Z 2021-01-14T18:16:23Z 2021 2020 Dissertation * A2021 http://hdl.handle.net/2263/78028 en © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle Thermal tyre model
Tyre wear
Optimal control
Formula One racing
Grip modelling
UCTD
Optimal Tyre Management for a Formula One Car
title Optimal Tyre Management for a Formula One Car
title_full Optimal Tyre Management for a Formula One Car
title_fullStr Optimal Tyre Management for a Formula One Car
title_full_unstemmed Optimal Tyre Management for a Formula One Car
title_short Optimal Tyre Management for a Formula One Car
title_sort optimal tyre management for a formula one car
topic Thermal tyre model
Tyre wear
Optimal control
Formula One racing
Grip modelling
UCTD
url http://hdl.handle.net/2263/78028