Mathematical model and parametric uncertainty analysis of a hydraulic generating system

Xu, Beibei and Chen, Diyi and Patelli, Edoardo and Shen, Haijun and Park, Jae Hyun (2019) Mathematical model and parametric uncertainty analysis of a hydraulic generating system. Renewable Energy, 136. pp. 1217-1230. ISSN 0960-1481 (https://doi.org/10.1016/j.renene.2018.09.095)

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Abstract

Conversion efficiency and unit vibration are two important indexes in evaluating the stability of hydraulic generating systems (HGSs). Most of related studies have been carried out in the deterministic theory framework. As running times of HGS increased, understanding uncertainties and limitations of model parameters are important for accurate modeling and stability evaluation. In this study, first, we establish an integrated model of a HGS by proposing unbalanced hydraulic forces based on the Kutta-Zhoukowski assumption. Second, global sensitivity and parametric interactions for conversion efficiency and unit vibration are investigated based on this model. Finally, the novel unified model is verified with two conventional models. This integrated and accurate mathematical model is a major advance in the diagnosis and prediction of failures in hydropower operation.

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