Dynamics analysis of the fast-slow hydro-turbine governing system with different time-scale coupling

Abstract Multi-time scales modeling of hydro-turbine governing system is crucial in precise modeling of hydropower plant and provides support for the stability analysis of the system. Considering the inertia and response time of the hydraulic servo system, the hydro-turbine governing system is transformed into the fast-slow hydro-turbine governing system. The effects of the time-scale on the dynamical behavior of the system are analyzed and the fast-slow dynamical behaviors of the system are investigated with different time-scale. Furthermore, the theoretical analysis of the stable regions is presented. The influences of the time-scale on the stable region are analyzed by simulation. The simulation results prove the correctness of the theoretical analysis. More importantly, the methods and results of this paper provide a perspective to multi-time scales modeling of hydro-turbine governing system and contribute to the optimization analysis and control of the system.

[1]  Ole Gunnar Dahlhaug,et al.  Sediment erosion in hydro turbines and its effect on the flow around guide vanes of Francis turbine , 2015 .

[2]  K. M. Liew,et al.  A computational approach for predicting the hydroelasticity of flexible structures based on the pressure Poisson equation , 2007 .

[3]  Mingjiang Wang,et al.  Nonlinear modeling and dynamic control of hydro-turbine governing system with upstream surge tank and sloping ceiling tailrace tunnel , 2016 .

[4]  G. Domairry,et al.  Homotopy Analysis Method for the heat transfer of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall , 2010 .

[5]  Xiaohui Yuan,et al.  Nonlinear dynamic analysis and robust controller design for Francis hydraulic turbine regulating system with a straight-tube surge tank , 2017 .

[6]  Louis J. Wicker A Two-Step Adams-Bashforth-Moulton Split-Explicit Integrator for Compressible Atmospheric Models , 2009 .

[7]  Diyi Chen,et al.  The slow-fast dynamical behaviors of a hydro-turbine governing system under periodic excitations , 2017 .

[8]  Arun Kanti Guin,et al.  Birth of oscillation in coupled non-oscillatory Rayleigh-Duffing oscillators , 2017, Commun. Nonlinear Sci. Numer. Simul..

[9]  L. Chatellier,et al.  Flow and performance analysis of H-Darrieus hydroturbine in a confined flow: A computational and experimental study , 2016 .

[10]  Saeed Ziaei-Rad,et al.  The effects of lateral-torsional coupling on the nonlinear dynamic behavior of a rotating continuous flexible shaft-disk system with rub-impact , 2013, Commun. Nonlinear Sci. Numer. Simul..

[11]  Benedict J. Leimkuhler,et al.  A parallel multiple time-scale reversible integrator for dynamics simulation , 2003, Future Gener. Comput. Syst..

[12]  Lin Ye,et al.  Dynamic modeling of a hybrid wind/solar/hydro microgrid in EMTP/ATP , 2012 .

[13]  Yichen Wang,et al.  Nonlinear dynamic analysis for a Francis hydro-turbine governing system and its control , 2014, J. Frankl. Inst..

[14]  Jing Qian,et al.  The generalized Hamiltonian model for the shafting transient analysis of the hydro turbine generating sets , 2014 .

[15]  Qiang Lu,et al.  Nonlinear decentralized robust governor control for hydroturbine-generator sets in multi-machine power systems , 2004 .

[16]  Mohsen Zayernouri,et al.  Fractional Adams-Bashforth/Moulton methods: An application to the fractional Keller-Segel chemotaxis system , 2016, J. Comput. Phys..

[17]  Diyi Chen,et al.  Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system , 2015 .

[18]  Hao Zhang,et al.  The modeling of the fractional-order shafting system for a water jet mixed-flow pump during the startup process , 2015, Commun. Nonlinear Sci. Numer. Simul..

[19]  Ashutosh Kumar Singh,et al.  Effects of thermophoresis on hydromagnetic mixed convection and mass transfer flow past a vertical permeable plate with variable suction and thermal radiation , 2011 .

[20]  Yusuf Gurefe,et al.  Multiplicative Adams Bashforth–Moulton methods , 2011, Numerical Algorithms.

[21]  Yousef Yassi,et al.  Improvement of the efficiency of the Agnew micro hydro turbine at part loads due to installing guide vanes mechanism , 2010 .

[22]  R. P. Saini,et al.  A review on silt erosion in hydro turbines , 2008 .

[23]  J. D. McCalley,et al.  Analysis of Very Low Frequency Oscillations in Hydro-Dominant Power Systems Using Multi-Unit Modeling , 2012, IEEE Transactions on Power Systems.

[24]  Huanhuan Li,et al.  Nonlinear modeling and dynamic analysis of a hydro-turbine governing system in the process of sudden load increase transient , 2016 .

[25]  Yu-cheng Peng,et al.  Numerical Study of Cavitation on the Surface of the Guide Vane in Three Gorges Hydropower Unit , 2010 .

[26]  Ernesto Pereda,et al.  Topography of EEG complexity in human neonates: Effect of the postmenstrual age and the sleep state , 2006, Neuroscience Letters.

[27]  Ole Gunnar Dahlhaug,et al.  Study of the simultaneous effects of secondary flow and sediment erosion in Francis turbines , 2016 .