Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation

Abstract There is a region of pump-turbine operation, often called the S-shaped region, in which one unit rotational speed corresponds to three unit flows or torques. In this paper, the dynamic model of the pump-turbine in S-shaped regions is established by introducing the nonlinear piecewise function of relative parameters. Then, the global bifurcation diagrams of the pump-turbine are presented to analyze its dynamic characteristics in the S-shaped regions. Meanwhile, a stability criterion of runaway point is given based on the established theoretical model. The numerical experiments are conducted on the model and the results are in good agreement with the theoretical analysis. Furthermore, the effects of the characteristic curve slopes on the stability of the pump-turbine are studied by an innovative use of the three-dimensional bifurcation diagrams. Finally, the factors influencing the runaway stability of pump-turbines are also discussed, based on the dynamic analysis.

[1]  Adel A. Ghoneim,et al.  Design optimization of photovoltaic powered water pumping systems , 2006 .

[2]  Yanbin Yuan,et al.  Design of fuzzy sliding mode controller for hydraulic turbine regulating system via input state feedback linearization method , 2015 .

[3]  Jianguo Jiang,et al.  A novel static frequency converter based on multilevel cascaded H-bridge used for the startup of synchronous motor in pumped-storage power station , 2011 .

[4]  Wenlong Fu,et al.  An adaptively fast fuzzy fractional order PID control for pumped storage hydro unit using improved gravitational search algorithm , 2016 .

[5]  Sanjay V. Jain,et al.  Effects of impeller diameter and rotational speed on performance of pump running in turbine mode , 2015 .

[6]  N. P. Padhy,et al.  Variable speed operation of reversible pump-turbines at Kadamparai pumped storage plant – A case study , 2014 .

[7]  Zhengwei Wang,et al.  Three-dimensional simulation of unsteady flows in a pump-turbine during start-up transient up to speed no-load condition in generating mode , 2016 .

[8]  Dhiman Chatterjee,et al.  Computational analysis of flow over a cascade of S-shaped hydrofoil of fully reversible pump-turbine used in extracting tidal energy , 2015 .

[9]  Wei Zeng,et al.  Instability analysis of pumped-storage stations under no-load conditions using a parameter-varying model , 2016 .

[10]  Beibei Xu,et al.  Hamiltonian modeling of multi-hydro-turbine governing systems with sharing common penstock and dynamic analyses under shock load , 2016 .

[11]  Ernesto Benini,et al.  Efficiency enhancement in transonic compressor rotor blades using synthetic jets: A numerical investigation , 2011 .

[12]  Cheng-Liang Chen,et al.  Application of a generic superstructure-based formulation to the design of wind-pumped-storage hybrid systems on remote islands , 2016 .

[13]  Ruofu Xiao,et al.  Multiobjective Optimization Design of a Pump-Turbine Impeller Based on an Inverse Design Using a Combination Optimization Strategy , 2014 .

[14]  David D. Lara,et al.  Power converter with maximum power point tracking MPPT for small wind-electric pumping systems , 2015 .

[15]  Mingjiang Wang,et al.  Nonlinear modeling and stability analysis of hydro-turbine governing system with sloping ceiling tailrace tunnel under load disturbance , 2015 .

[16]  Li Deyou,et al.  Unsteady simulation and analysis for hump characteristics of a pump turbine model , 2015 .

[17]  Juan I. Pérez-Díaz,et al.  Dynamic response and governor tuning of a long penstock pumped-storage hydropower plant equipped with a pump-turbine and a doubly fed induction generator , 2015 .

[18]  Wei Zeng,et al.  Runaway Instability of Pump-Turbines in S-Shaped Regions Considering Water Compressibility , 2015 .

[19]  Milutin Jovanovic,et al.  High-efficiency control of brushless doubly-fed machines for wind turbines and pump drives , 2014 .

[20]  W. C. Schleicher,et al.  Hydraulic design and optimization of a modular pump-turbine runner , 2015 .

[21]  Kanzumba Kusakana,et al.  Optimal scheduling for distributed hybrid system with pumped hydro storage , 2016 .

[22]  Zhongdong Qian,et al.  Looping Dynamic Characteristics of a Pump-Turbine in the S-shaped Region During Runaway , 2016 .

[23]  Jan-Olov Aidanpää,et al.  The effect of inertia and angular momentum of a fluid annulus on lateral transversal rotor vibrations , 2012 .