Bienstock, D., Blanchet, J. & Li, J. Stochastic models and control for electrical power line temperature. Energy Syst 7, 173–192 (2016). https://doi.org/10.1007/s12667-015-0160-x
Abstract
In this paper we present a rigorous analysis of the evolution of the temperature of a power line under stochastic exogenous factors such as ambient temperature. We present a solution to the resulting stochastic heat equation and we propose a number of control algorithms designed to maximize delivered power under chance constraints used to limit the probability that a line exceeds its critical temperature.
Authors
Daniel Bienstock, Jose Blanchet, Juan Li
Publication date
2016/2
Journal
Energy Systems
Volume
7
Pages
173-192
Publisher
Springer Berlin Heidelberg
