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Stochastic models and control for electrical power line temperature

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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.

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Authors and Affiliations

  1. Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 102272, USA

    Daniel Bienstock, Jose Blanchet & Juan Li

  2. Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY, 102272, USA

    Daniel Bienstock

Authors
  1. Daniel Bienstock
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  2. Jose Blanchet
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  3. Juan Li
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Corresponding author

Correspondence to Daniel Bienstock.

Additional information

This work was partially supported by DTRA grant HDTRA1-13-1-0021 and LANL award ‘Grid Science’.

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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

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  • DOI: https://doi.org/10.1007/s12667-015-0160-x

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