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Research Papers

Switched Model and Dynamic Analysis of a Hydroturbine Governing System in the Process of Load Rejection Transient

[+] Author and Article Information
Huanhuan Li

Institute of Water Resources
and Hydropower Research,
Northwest A&F University,
Yangling 712100, Shaanxi, China
e-mail: huanhuanli012@126.com

Diyi Chen

Institute of Water Resources
and Hydropower Research,
Northwest A&F University,
Yangling 712100, Shaanxi, China;
Key Laboratory of Agricultural Soil and Water
Engineering in Arid and Semiarid Areas,
Ministry of Education,
Northwest A&F University,
Yangling 712100, Shaanxi, China;
Australasian Joint Research Centre for
Building Information Modelling,
School of Built Environment,
Curtin University,
Bentley, WA 6102, Australia
e-mail: diyichen@nwsuaf.edu.cn

Feifei Wang

Institute of Water Resources
and Hydropower Research,
Northwest A&F University,
Yangling 712100, Shaanxi, China
e-mail: wangfefei1027@126.com

Hao Zhang

Institute of Water Resources
and Hydropower Research,
Northwest A&F University,
Yangling 712100, Shaanxi, China
e-mail: hzhang_pioneer@163.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 18, 2016; final manuscript received February 23, 2017; published online xx xx, xxxx. Assoc. Editor: Shankar Coimbatore Subramanian.

J. Dyn. Sys., Meas., Control 139(10), 101002 (Jun 05, 2017) (12 pages) Paper No: DS-16-1407; doi: 10.1115/1.4036234 History: Received August 18, 2016; Revised February 23, 2017

In this paper, we pay attention to studying the switched model of the hydroturbine governing system (HTGS) by introducing the concept of the switching of operational conditions. More specifically, utilizing the data of an existent hydropower station in China, we propose six nonlinear dynamic transfer coefficients of the hydroturbine, which can better describe the dynamic characteristics of the HTGS in the process of load rejection transient. Moreover, the elastic water hammer-impact of the penstock system and the nonlinearity of the generator for the process of load rejection transient are considered. Based on the combination of the different regulation modes of the governor and the corresponding running conditions of the hydroelectric generating unit, a novel nonlinear dynamic switched mathematical model of the HTGS is finally established. Meanwhile, the nonlinear dynamic behaviors of the governing system are exhaustively investigated using numerical simulations. These methods and analytical results will provide some theory bases for running a hydropower station.

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Figures

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Fig. 1

The structure diagram of the Francis hydroturbine governing system

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Fig. 2

Dynamic model of the hydroturbine and penstock system

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Fig. 3

The closing law of the guide vane in the process of load rejection transient

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Fig. 4

Change laws of the characteristic parameters of the HTGS of the Gutianxi hydropower station in the process of load rejection transient

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Fig. 5

Diagrams of the deviations of the HTGS in the process of load rejection transient with PI regulation method (0≤t≤4)

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Fig. 6

Diagrams of the deviations of the switched HTGS in the process of load rejection transient (0≤t≤4): (a) mt − t and (b) ω − t

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Fig. 7

Time waveforms of the switched HTGS with t = 0.32: (a) mt − t and (b) ω − t

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Fig. 8

Time waveforms of the switched HTGS with t = 0.5: (a) mt − t and (b) ω − t

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Fig. 9

Time waveforms of the switched HTGS with t = 0.73: (a) mt − t and (b) ω − t

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Fig. 10

Time waveforms of the switched HTGS with t = 3: (a) mt − t and (b) ω − t

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Fig. 11

Zero-pole distributive charts of the HTGS at particular times: (a) t = 0, (b) t = 0.32, (c1) t = 3, (c2) local implication with t = 3, (d1) t = 4, and (d2) local implication with t = 4

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Fig. 12

Diagrams of the deviations of the HTGS between the novel model and the previous model: (a) mt − t and (b) ω − t

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Fig. 13

Time waveforms of the HTGS between the novel model and the previous model with different times: (a1) mt − t with t = 0, (a2) ω − t with t = 0, (b1) mt − t with t = 0.32, (b2) ω − t with t = 0.32, (c1) mt − t with t = 4, and (c2) ω − t with t = 4

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