Critical sectional area of surge tank based on bifurcation and chaos behaviors of hydraulic-mechanical coupling hydropower station

Guo, Wencheng; Xu, Xinyu

doi:10.1007/s11071-022-07672-4

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…dimension. As a complex nonlinear system closely affected by hydraulic, mechanical, and electromagnetic factors, there exist special chaos dynamic behaviors for the HGU system [42]. The correlation dimension, an important parameter for describing the chaotic properties of dynamic systems, has been widely used in mechanical equipment fault feature extraction due to its computational simplicity.…”

Section: Comparative Experiments 3: Comparison With Correlationmentioning

confidence: 99%

Performance assessment of hydropower generator unit with the nonlinear transmissibility function method

Wu,

Mao,

Yang

et al. 2023

Meas. Sci. Technol.

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The hydropower generator unit (HGU) is a complex nonlinear dynamic system, and how to utilize the monitoring data to achieve the performance assessment of the HGU is a challenge at present. In this paper, based on the linear transmissibility function and the nonlinear output frequency response function, the nonlinear transmissibility function (NTF) method is proposed to characterize the variation rule of the HGU performance, and the effectiveness of the proposed method is confirmed by the monitoring data from a hydropower station located in Guangxi, China. Firstly, the feature parameters related to the operation state of the unit are extracted from the monitoring data of the HGU. Secondly, the HGU system is divided into three subsystems according to the installation position of the sensors collecting these feature parameters, and the NTFs of them are estimated from multiple time scales. Finally, the performance of the HGU is comprehensively assessed utilizing the Fe indicator and the correlation transmissibility damage indicator. The analysis results demonstrate that the NTF method can reveal the performance variation trend and detect the early fault of the HGU, which is of great significance to the stable operation of the HGU.

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Section: Comparative Experiments 3: Comparison With Correlationmentioning

confidence: 99%

Performance assessment of hydropower generator unit with the nonlinear transmissibility function method

Wu,

Mao,

Yang

et al. 2023

Meas. Sci. Technol.

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show abstract

“…In the process of calculating the analytical formula of the critical stable section area of the surge tank, all the formulas for calculating the critical stable section area of the surge tank including Thoma's formula and E/N correction formula ignore the influence of the flow inertia in the pressure pipe (expressed by the time constant of the flow inertia in the pressure pipe Te) [1][2][3] . To analyze the influence of Te on the critical stable section area of the surge tank, after considering Te being the inertia time constant of the flow in the pressure pipe, a fifth-order analytical model of the hydraulic turbine generator set with the surge tank is derived.…”

Section: Introductionmentioning

confidence: 99%

Study on Influence of Flow Inertia of Pressure Pipe on Critical Stable Sectional Area of Surge Tank

Li¹,

Yang²,

Cui³

et al. 2023

J. Phys.: Conf. Ser.

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In the process of calculating the analytical formula of the critical stable section area of the surge tank, the influence of the time constant of the flow inertia in the pressure pipe is ignored by all the formulas, including Thoma’s formula and the E/N correction formula. In this paper, a fifth-order analytical model of a hydraulic turbine generator set with a surge tank is established after considering the inertia of the flow in the pressure pipe. Then, the relationship between the flow inertia in the pressure pipe and the critical stable section area of the surge tank is systematically analyzed by using this fifth-order analytical model. Finally, combined with a typical hydropower station, the influence of flow inertia of the pressure pipe on the stable section of the surge tank caused by the changes of head, flow and the length of the pressure channel is analyzed.

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Influence of the rigid water column assumption on hydrodynamic system stability

Zhang,

Wang,

Chen

et al. 2024

Physics of Fluids

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When analyzing the hydraulic vibration stability of hydrodynamic systems, a real elastic water column (EWC) is often simplified as a rigid water column (RWC) to derive theoretical stability criteria. This method is believed to yield results that deviate quantitatively from reality without causing qualitative errors. To examine this approach, this study first established a reservoir-pipe-valve-turbine system. Next, a theoretical stability criterion based on the RWC assumption was derived. Finally, the theoretical stability criterion of the real EWC (which was proven using the method of characteristics) was proposed to test the correctness of the RWC assumption, both numerically and theoretically. Results indicated discrepancies between RWC-based predictions and EWC time-domain outcomes, lacking consistent similarities. Specifically, in some cases, the RWC formula indicated instability, while the EWC theoretical criterion and numerical verification suggested stability. In other cases, the RWC formula indicated stability, while the EWC theoretical criterion and numerical verification suggested instability. Meanwhile, there were also cases where both the RWC formula and EWC theoretical criterion yielded consistent results. As the RWC assumption disregards water-hammer wave propagation and hydrodynamic system reflection effects, the validity of its conclusion is uncertain. Hence, when the RWC-based system stability contradicts the EWC theoretical criterion, the latter should guide system design decisions.

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Critical sectional area of surge tank based on bifurcation and chaos behaviors of hydraulic-mechanical coupling hydropower station

Cited by 3 publications

References 28 publications

Performance assessment of hydropower generator unit with the nonlinear transmissibility function method

Performance assessment of hydropower generator unit with the nonlinear transmissibility function method

Study on Influence of Flow Inertia of Pressure Pipe on Critical Stable Sectional Area of Surge Tank

Influence of the rigid water column assumption on hydrodynamic system stability

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