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Optimisation des reseaux electriques de grande taille

  • Nonlinear Programming
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Analysis and Optimization of Systes

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 144))

Résumé

Cet article décrit une méthode de programmation quadratique successive permettant de résoudre le problème de la répartition optimale des puissances dans un réseau électrique. Cette méthode converge globalement et superlinéairement. Des techniques ont été mises en oeuvre pour traiter des réseaux de grande taille. Le programme quadratique de chaque itération est résolu en utilisant un algorithme de gradient réduit avec factorisation LU des matrices de base et conjugaison des directions réduites. La méthode a été appliquée au problème particulier de l’optimisation du plan de tension à puissances actives fixées. Le réseau étudié possède 838 noeuds et 1330 lignes ou transformateurs.

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A. Bensoussan J. L. Lions

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© 1990 Springer-Verlag

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Blanchon, G., Dodu, J.C., Bonnans, J.F. (1990). Optimisation des reseaux electriques de grande taille. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120065

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  • DOI: https://doi.org/10.1007/BFb0120065

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52630-8

  • Online ISBN: 978-3-540-47085-4

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