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Instability analysis of pumped-storage stations under no-load conditions using a parameter-varying model

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  • Zeng, Wei
  • Yang, Jiandong
  • Yang, Weijia

Abstract

The S-shaped characteristics of a pump turbine make its rotational speed unstable when it starts up under no-load conditions with low head, affecting its ability to connect to the grid. Although advanced strategies for controlling the speed governor can alleviate this problem, they cannot fundamentally resolve the internal mechanisms that cause difficulties with a grid connection. Therefore, this study set out to theoretically explore the root cause of the instability and the dominant factors influencing it. A correlation fitting process was used to simplify the transcendental function for the pipe flow in elastic mode into a high-precision and low-order linear equation. Next, a detailed study of the two key factors affecting system stability (pump turbine S-shaped characteristics and water elasticity) was carried out based on the system model, and a comprehensive parameter that reflects the no-load characteristics was extracted. Furthermore, the Laplace transform and inverse transform decomposition were used to obtain a mathematical expression for the no-load oscillation in order to analyze the oscillation characteristics. Finally, simulations of no-load oscillations under various heads were performed to further validate the accuracy of the extracted comprehensive parameter for the no-load stability.

Suggested Citation

  • Zeng, Wei & Yang, Jiandong & Yang, Weijia, 2016. "Instability analysis of pumped-storage stations under no-load conditions using a parameter-varying model," Renewable Energy, Elsevier, vol. 90(C), pages 420-429.
    • Handle: RePEc:eee:renene:v:90:y:2016:i:c:p:420-429
    DOI: 10.1016/j.renene.2016.01.024
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    References listed on IDEAS

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    1. Weijia Yang & Jiandong Yang & Wencheng Guo & Wei Zeng & Chao Wang & Linn Saarinen & Per Norrlund, 2015. "A Mathematical Model and Its Application for Hydro Power Units under Different Operating Conditions," Energies, MDPI, vol. 8(9), pages 1-16, September.
    2. Trivedi, Chirag & Gandhi, Bhupendra K. & Cervantes, Michel J. & Dahlhaug, Ole Gunnar, 2015. "Experimental investigations of a model Francis turbine during shutdown at synchronous speed," Renewable Energy, Elsevier, vol. 83(C), pages 828-836.
    3. Martínez-Lucas, Guillermo & Sarasúa, José Ignacio & Sánchez-Fernández, José Ángel & Wilhelmi, José Román, 2015. "Power-frequency control of hydropower plants with long penstocks in isolated systems with wind generation," Renewable Energy, Elsevier, vol. 83(C), pages 245-255.
    4. Papaefthymiou, Stefanos V. & Lakiotis, Vasileios G. & Margaris, Ioannis D. & Papathanassiou, Stavros A., 2015. "Dynamic analysis of island systems with wind-pumped-storage hybrid power stations," Renewable Energy, Elsevier, vol. 74(C), pages 544-554.
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    Cited by:

    1. Zhao, Zhigao & Yang, Jiandong & Huang, Yifan & Yang, Weijia & Ma, Weichao & Hou, Liangyu & Chen, Man, 2021. "Improvement of regulation quality for hydro-dominated power system: quantifying oscillation characteristic and multi-objective optimization," Renewable Energy, Elsevier, vol. 168(C), pages 606-631.
    2. Jianzhong Zhou & Yang Zheng & Yanhe Xu & Han Liu & Diyi Chen, 2018. "A Heuristic T-S Fuzzy Model for the Pumped-Storage Generator-Motor Using Variable-Length Tree-Seed Algorithm-Based Competitive Agglomeration," Energies, MDPI, vol. 11(4), pages 1-25, April.
    3. Tang, Renbo & Yang, Jiandong & Yang, Weijia & Zou, Jin & Lai, Xu, 2019. "Dynamic regulation characteristics of pumped-storage plants with two generating units sharing common conduits and busbar for balancing variable renewable energy," Renewable Energy, Elsevier, vol. 135(C), pages 1064-1077.
    4. Huang, Yifan & Yang, Weijia & Liao, Yiwen & Zhao, Zhigao & Ma, Weichao & Yang, Jiebin & Yang, Jiandong, 2022. "Improved transfer function method for flexible simulation of hydraulic-mechanical-electrical transient processes of hydro-power plants," Renewable Energy, Elsevier, vol. 196(C), pages 390-404.
    5. Trivedi, Chirag & Agnalt, Einar & Dahlhaug, Ole Gunnar, 2017. "Investigations of unsteady pressure loading in a Francis turbine during variable-speed operation," Renewable Energy, Elsevier, vol. 113(C), pages 397-410.
    6. Zhou, Xing & Shi, Changzheng & Miyagawa, Kazuyoshi & Wu, Hegao, 2021. "Effect of modified draft tube with inclined conical diffuser on flow instabilities in Francis turbine," Renewable Energy, Elsevier, vol. 172(C), pages 606-617.
    7. Sheng Chen & Jian Zhang & Gaohui Li & Xiaodong Yu, 2019. "Influence Mechanism of Geometric Characteristics of Water Conveyance System on Extreme Water Hammer during Load Rejection in Pumped Storage Plants," Energies, MDPI, vol. 12(15), pages 1-22, July.
    8. Yang, Weijia & Norrlund, Per & Chung, Chi Yung & Yang, Jiandong & Lundin, Urban, 2018. "Eigen-analysis of hydraulic-mechanical-electrical coupling mechanism for small signal stability of hydropower plant," Renewable Energy, Elsevier, vol. 115(C), pages 1014-1025.

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