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Performance Assessment of Linear Models of Hydropower Plants

Abstract : This paper discusses linearized models of hydropower plants (HPPs). First, it reviews state-of-the-art models and discusses their non-linearities, then it proposes suitable linearization strategies for the plant head, discharge, and turbine torque. It is shown that neglecting the dependency of the hydroa-coustic resistance on the discharge leads to a linear formulation of the hydraulic circuits model. For the turbine, a numerical linearization based on a first-order Taylor expansion is proposed. Model performance is evaluated for a medium- and a low-head HPP with a Francis and Kaplan turbine, respectively. Perspective applications of these linear models are in the context of efficient model predictive control of HPPs based on convex optimization.
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Submitted on : Wednesday, January 5, 2022 - 10:59:39 AM
Last modification on : Friday, May 13, 2022 - 3:36:38 AM

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Stefano Cassano, Fabrizio Sossan, Christian Landry, Christophe Nicolet. Performance Assessment of Linear Models of Hydropower Plants. 2021 IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe), Oct 2021, Espoo, France. pp.01-06, ⟨10.1109/ISGTEurope52324.2021.9639912⟩. ⟨hal-03511960⟩

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