Geodesic
Models for estimating the power deficit in electric power grid
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 34-43

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We consider versions of a model for estimating power deficit developed for the computing clusters analyzing the reliability of electric power grids. We discuss some mathematical properties and specific features of the models. We pay particular attention to the model accounting for the nonlinear character of power loss in transmission lines and indicate a method for reducing it to a convex programming problem.
Keywords: electric power grid, model for estimating power deficit, reliability, inner point methods. 
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     title = {Models for estimating the power deficit in electric power grid},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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V. I. Zorkal'tsev; S. M. Perzhabinskiǐ. Models for estimating the power deficit in electric power grid. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 34-43. http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a3/