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Dynamic evolution of a hydraulic–mechanical–electric system with randomly fluctuating speed

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Abstract

The generator speed is an important index in maintaining the stable connection between the hydraulic turbine and the electric power system. Historically, researches carried out are based on deterministic models. It is therefore a challenge to investigate the effects of random fluctuating speed on the dynamic evaluation of the hydraulic–mechanical–electric system as variable renewable generation sources link to the electric power system. Here, we proposed a probabilistic model and solved it by the Chebyshev polynomial approximation method. We also made a careful comparison implemented by the deterministic and the probabilistic models. Finally, we showed how the random excitations affect the dynamic evaluation of the system output.

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Acknowledgements

This work was supported by the scientific research foundation of National Natural Science Foundation–Outstanding Youth Foundation (51622906), National Natural Science Foundation (51479173), Fundamental Research Funds for the Central Universities (201304030577), Scientific research funds of Northwest A&F University (2013BSJJ095), Science Fund for Excellent Young Scholars from Northwest A&F University and Shaanxi Nova program (2016KJXX-55).

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Authors and Affiliations

  1. Institute of Water Resources and Hydropower Research, Northwest A&F University, Shaanxi, Yangling, 712100, People’s Republic of China

    Beibei Xu, Diyi Chen & Xiang Gao

  2. Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F University, Yangling, 712100, Shaanxi, People’s Republic of China

    Diyi Chen

  3. Depto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, c/ Tarfia s/n, 41012, Seville, Spain

    Caraballo Tomas

  4. Institute for Risk and Uncertainty, Chadwick Building, University of Liverpool, Peach Street, Liverpool, L69 7ZF, UK

    Edoardo Patelli

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  1. Beibei Xu
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  2. Diyi Chen
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  4. Caraballo Tomas
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Correspondence to Diyi Chen.

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Xu, B., Chen, D., Gao, X. et al. Dynamic evolution of a hydraulic–mechanical–electric system with randomly fluctuating speed. Nonlinear Dyn 92, 1801–1813 (2018). https://doi.org/10.1007/s11071-018-4163-8

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  • DOI: https://doi.org/10.1007/s11071-018-4163-8

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