Building and Analysis of Hydro Turbine Dynamic Model with Elastic Water Column

Zeng, Yun; Zhang, Lixiang; Xu, Tianmao; Dong, Hai‐Lin

doi:10.1109/appeec.2010.5449286

Cited by 6 publications

(3 citation statements)

References 10 publications

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“…The elastic water hammer model should be considered when the water pipe is longer. The transfer function can be derived on the basis of the principles of hydraulics from previous works:

G_{h} ((), s) = - \frac{2 T_{w}}{T_{r}} italicth \frac{T_{r}}{2} s,

where T r is the pipeline reflection time.…”

Section: Francis Turbine‐governor System Modelmentioning

confidence: 99%

Improved nonlinear turbine-governor model and parameter assessment for a large hydropower plant

Zhao

Wang

Liu

et al. 2018

Int Trans Electr Energ Syst

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Summary In the presented power system analysis software, the actuator model of hydro turbine governor system cannot effectively reflect the actual characteristics of the section closing law. The accuracy of Francis turbine model simulation is not high since the Francis turbine static characteristic curve between turbine power and guide vane opening is obviously nonlinear under a certain water head. An improved actuator model was proposed with section closing rate limits, which reflects the section closing law of the guide vane. The simulation analysis shows that the section closing point has a great effect on the Francis turbine in case of load rejection when the vane is fully closed. Compared with different fitting methods of the mechanical power and guide vane opening, the cubic polynomial fitting method is more suitable and recommended. An improved nonlinear turbine model with nonlinear characteristics of mechanical power versus gate position was established. The comparison between the simulation and field test data demonstrates that the improved nonlinear Francis turbine‐governor model considering section closing law of guide vane is more practical and effective than the existing models, thus can be better applied in power system simulation analysis.

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“…The elastic water hammer model should be considered when the water pipe is longer. The transfer function can be derived on the basis of the principles of hydraulics from previous works:

G_{h} ((), s) = - \frac{2 T_{w}}{T_{r}} italicth \frac{T_{r}}{2} s,

where T r is the pipeline reflection time.…”

Section: Francis Turbine‐governor System Modelmentioning

confidence: 99%

Improved nonlinear turbine-governor model and parameter assessment for a large hydropower plant

Zhao

Wang

Liu

et al. 2018

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

show abstract

“…According to [5,6], hydraulic differential equation of hydraulic system with elastic water column, which is one penstock one machine, can be expressed as follow:…”

Section: Hydraulic System Model and Hydro Turbine Modelmentioning

confidence: 99%

Study on Generalized Hamiltonian Model of Hydraulic Generator Unit with Elastic Water Column

Zhang

Zeng

et al. 2012

AMM

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In this paper, nonlinear turbine model and hydraulic system which is one penstock one machine dynamic differential equation with elastic water column are combined. Hamiltonian function of hydraulic turbine is constructed. By applying Hamiltonian orthogonal decomposition realization and dissipation realization method, generalized Hamiltonian model of hydraulic turbine is built. Connected with generator third-order Hamiltonian model of single machine infinite bus system, generalized Hamiltonian model of hydraulic generator unit is established. This paper provides certain theory basis for research operation and control dynamics mechanism of hydraulic generator unit in generalized Hamiltonian system framework.

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“…Since the hydro turbine is a rigid component, the algebraic model is equivalent to the differential equations model when the torque is in transient state. This means that the dynamic of the turbine torque depends only on the dynamic of the hydraulic system [16]. Most studies usually take the hydraulic system as rigid water hammer.…”

mentioning

confidence: 99%

Nonlinear hydro turbine model having a surge tank

Zeng

Guo

Zhang

et al. 2013

Mathematical and Computer Modelling of Dynamical Systems

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This paper models a hydro turbine based on the dynamic description of the hydraulic system having a surge tank and elastic water hammer. The dynamic of the hydraulic system is transformed from transfer function form into the differential equation model in relative value. This model is then combined with the motion equation of the main servomotor to form the nonlinear model of the hydro turbine, in which the power of the hydro turbine is calculated using algebraic equation. A new control model is thus proposed in which the dynamic of the surge tank is taken as an additional input of control items. As such, the complex hydraulic system is decomposed into a classical one penstock and one machine model with an additional input control. Therefore, the order of the system is descended. As a result, the feasibility of the system is largely improved. The simulated results show that the additional input of the surge tank is effective and the proposed method is realizable.

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Building and Analysis of Hydro Turbine Dynamic Model with Elastic Water Column

Cited by 6 publications

References 10 publications

Improved nonlinear turbine-governor model and parameter assessment for a large hydropower plant

Improved nonlinear turbine-governor model and parameter assessment for a large hydropower plant

Study on Generalized Hamiltonian Model of Hydraulic Generator Unit with Elastic Water Column

Nonlinear hydro turbine model having a surge tank

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