Identification of the nonlinear vibration characteristics in hydropower house using transfer entropy

Sun, Wanquan; Yan, Dongming

doi:10.1007/s11071-013-1094-2

Cited by 17 publications

(8 citation statements)

References 14 publications

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“…The third criterion is equivalent dissipated energy to create the initial values of the equivalence damping (cbx1~ cbx3). Some researchers have identified damping ratios of hydropower house through field tests [8,9,18]. The range of identified damping ratio is approximately 2% to 4%.…”

Section: Modeling Methods For Foundation Subsystemmentioning

confidence: 99%

“…Due to the nonlinear dynamic behavior of the hydro generator units and higher complexity of the hydropower house structure, the dynamic analyses for unit system have not long taken account of the vibrational effect of hydropower house. In the past, the vibrations of the hydro generator shaft system and hydropower house have been extensively studied from different perspectives, and the relevant achievements have been quite fruitful [1][2][3][4][5][6][7][8][9]. In fact, the water turbine generator set and its supporting foundation should be a whole coupling system, which includes not only the shaft-foundation coupling but also the coupling between foundations (as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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An Energy-Equivalent Simplified Model for Lateral Nonlinear Vibrations of Coupled Water Turbine Generator Set Shaft-Foundation System

Sun¹,

Zhi-qiang²,

Ma³

2021

Preprint

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The traditional whole finite element method (WFEM[1]) has several shortcomings, including that it has too many degrees of freedom so the execution is not efficient and is difficult to solve in nonlinear dynamic analysis. In this paper, a novel simplified modeling approach is proposed to investigate the lateral nonlinear vibration characteristics of coupled water turbine generator set shaft-foundation system (CSFS[2]). The simplified coupled model is generated in two stages. First, a more reasonable simplified model for foundation subsystem considering coupling with each other is constructed to simulate the lateral vibrations of guide bearing foundations in hydropower house. Based on the response spectra of WFEM of hydropower house and a constructed energy error objective function, the optimal equivalent parameters of the simplified foundation model are then determined by using the genetic algorithm. Second, considering actions of various nonlinear factors and the pulsating water pressure acting on turbine runner, a nonlinear dynamic differential equations of CSFS based on Lagrange equation are derived. The nonlinear dynamic responses of CSFS using the optimal equivalent model are also compared with the field test data. It is demonstrated that the method proposed to develop the equivalent model is more efficient and more convenient in capturing the nonlinear dynamic behavior of CSFS. In addition, this energy-equivalent model is more adaptable to the stochastic uncertainty and frequency band variation in hydropower station system. Some novel dynamic laws and inner mechanism of the coupled system are also revealed further based on the proposed model. Footnotes: [1] WFEM: whole finite element method[2] CSFS: coupled water turbine generator set shaft-foundation system

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Section: Modeling Methods For Foundation Subsystemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Energy-Equivalent Simplified Model for Lateral Nonlinear Vibrations of Coupled Water Turbine Generator Set Shaft-Foundation System

Sun¹,

Zhi-qiang²,

Ma³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…There have been many reports on the dynamic analysis of the HTRS [20][21][22][23] as well as the nonlinear control of fractional-order systems, such as sliding mode control [24], pinning control [25], finite-time control [26], backstepping control [27], and fractionalorder proportional-integral-derivative (PID) control [28]. Predictive control has the advantages of prediction and online optimisation, which is, in essence, different from traditional control methods.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy generalised predictive control for a fractional‐order nonlinear hydro‐turbine regulating system

Shi

Wang

Chen

2018

IET Renewable Power Generation

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This study focuses on a fuzzy generalised predictive control method for a fractional-order hydro-turbine regulating system (HTRS). Based on the Grünwald-Letnikov (G-L) definition of fractional calculus and discretisation, the fractional-order hydraulic servo system is transformed into the standard controlled autoregressive integrating moving average (CARMA) model. With the help of fuzzy linearisation theory, the fuzzy predictive model of the integer-order part of the HTRS is presented. Furthermore, by using the fourth-order Runge-Kutta algorithm, the obtained fuzzy predictive model can be easily transformed into the CARMA model. Then, based on the overall CARMA model and the generalised predictive control theory, a novel nonlinear fuzzy generalised predictive controller is designed for the fractional-order HTRS. Finally, numerical simulations are implemented to verify the validity and superiority of the proposed method. It also provides a reference for relevant hydropower systems.

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“…For the stability analysis of HTGS, many studies have indicated that the hydro-turbine governing system exhibits nonlinear even chaotic vibration in non-rated operating conditions (Ling and Tao, 2006; Sun and Yan, 2014; Zeng et al., 2014; Zhang et al., 2015). Based on the above theoretical results, the nonlinear vibration control of HTGS attracts more scholars’ attention.…”

Section: Introductionmentioning

confidence: 99%

Finite time takagi-sugeno fuzzy control for hydro-turbine governing system

Wang

Xue

et al. 2016

Journal of Vibration and Control

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In this study, a robust finite time Takagi-Sugeno fuzzy control method for hydro-turbine governing system (HTGS) is investigated. Firstly, the mathematical model of HTGS is introduced, and on the basis of Takagi-Sugeno (T-S) fuzzy rules, the T-S fuzzy model of HTGS is presented. Secondly, based on finite time stability theory, a novel finite time Takagi-Sugeno fuzzy control method is designed for the stability control of HTGS. Thirdly, the relatively loose sufficient stability condition is acquired, which could be transformed into a group of linear matrix inequalities (LMIs) via Schur complement as well as the strict mathematical derivation is given. Furthermore, the control method could resist random disturbances, which shows the good robustness. Simulation results indicate the designed finite time T-S fuzzy control scheme works well compared with the conventional method. The approach proposed in this paper is easy to implement and also provides reference for relevant hydropower systems.

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Identification of the nonlinear vibration characteristics in hydropower house using transfer entropy

Cited by 17 publications

References 14 publications

An Energy-Equivalent Simplified Model for Lateral Nonlinear Vibrations of Coupled Water Turbine Generator Set Shaft-Foundation System

An Energy-Equivalent Simplified Model for Lateral Nonlinear Vibrations of Coupled Water Turbine Generator Set Shaft-Foundation System

Fuzzy generalised predictive control for a fractional‐order nonlinear hydro‐turbine regulating system

Finite time takagi-sugeno fuzzy control for hydro-turbine governing system

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