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Normalized and Xpower to Generate Pacing Strategies in Road Cycling

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2015

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FELIX BREITENECKER, , ed. and others. Proceedings of the 8th Vienna International Conference on Mathematical Modelling (2015). Wien: International Federation of Automatic Control, 2015, pp. 780-781. Mathematical Modelling. Volume 8, Part 1. ISSN 1474-6670. Available under: doi: 10.3182/20150218-3-AU-30250//978-3-902823-71-70248

Zusammenfassung

Normalized power and xPower have become standard measures for metabolic demand with road cycling. In contrast to average power these quantities account for the additional exertion resulting from time-variations of the pedaling power. In this contribution, we develop a method to use a modified xPower to generate pacing strategies for road cycling time trials, where determining the optimal variations of the pedaling power is the ultimate goal. We tackle severe numerical issues related to singular arcs in optimal control, derive the necessary condition and use the Chebfun software system with its essential and unique capability to compute with Fr'echet derivatives automatically.

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8th Vienna International Conference on Mathematical Modelling (2015), 18. Feb. 2015 - 20. Feb. 2015, Wien
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ISO 690DAHMEN, Thorsten, Dietmar SAUPE, 2015. Normalized and Xpower to Generate Pacing Strategies in Road Cycling. 8th Vienna International Conference on Mathematical Modelling (2015). Wien, 18. Feb. 2015 - 20. Feb. 2015. In: FELIX BREITENECKER, , ed. and others. Proceedings of the 8th Vienna International Conference on Mathematical Modelling (2015). Wien: International Federation of Automatic Control, 2015, pp. 780-781. Mathematical Modelling. Volume 8, Part 1. ISSN 1474-6670. Available under: doi: 10.3182/20150218-3-AU-30250//978-3-902823-71-70248
BibTex
@inproceedings{Dahmen2015Norma-31484,
  year={2015},
  doi={10.3182/20150218-3-AU-30250//978-3-902823-71-70248},
  title={Normalized and Xpower to Generate Pacing Strategies in Road Cycling},
  number={Volume 8, Part 1},
  issn={1474-6670},
  publisher={International Federation of Automatic Control},
  address={Wien},
  series={Mathematical Modelling},
  booktitle={Proceedings of the 8th Vienna International Conference on Mathematical Modelling (2015)},
  pages={780--781},
  editor={Felix Breitenecker},
  author={Dahmen, Thorsten and Saupe, Dietmar}
}
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