Conference article

Modelica Delft-Tyre Interface

Edo Drenth
Modelon AB, Ideon Science Park, Sweden

Magnus Gäfvert
Modelon AB, Ideon Science Park, Sweden

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Published in: Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Linköping Electronic Conference Proceedings 63:2, p. 8-12

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Published: 2011-06-30

ISBN: 978-91-7393-096-3

ISSN: 1650-3686 (print), 1650-3740 (online)


The TNO Delft-Tyre is a renowned model for the pneumatic tire in the automotive industry based upon the famous Magic Formula first introduced by Bakker in the late eighties. The name Magic Formula seems to appear first at the 1st Delft colloquium on tires four years later. The Magic Formulae themselves have evolved greatly during the last two decades with contributions from a wide variety of companies and researchers.

The Magic Formula is widely used in the automotive (and gaming) industry because of its ease of use to represent the complicated tire characteristics.

TNO has marketed the Magic Formula tire model as Delft-Tyre and implemented the dynamic forces and moments computation routines; including the extension of SWIFT; in a variety of multibody simulation packages; like ADAMS and DADS and general purpose simulation software Simulink.

Modelon has in close cooperation with TNO by means of extensive benchmarks implemented the MF-Tyre/MF-Swift in Modelica. This paper presents the work conducted to implement the TNO tire models in Modelica which now is available as a commercial library in Dymola.


Delft-Tyre; semi-empirical tire model; Magic Formula; SWIFT-Tyre


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