Dynamic analysis of multi-unit hydropower systems in transient process

This paper addresses a mathematical model and dynamic analysis of multi-unit hydropower systems in transient process. In this work, the first unit is assumed to be subject to a sudden load decrease, while the second unit runs with load. An approach to the description of the six stochastic dynamic transfer coefficients of the hydro-turbine is proposed for the second unit. Moreover, a novel dynamic model for the multi-unit hydropower system, able to take into account the eventual occurrence of water hammer in the penstock and the nonlinearity of the generator, is introduced. Also, a numerical application is analyzed in order to investigate the effectiveness of the approach proposed and the dynamic characteristics of the system under study. Finally, a comparative analysis is proposed in order to validate the proposed system. The methods and results implemented in this work provide theoretical tools to guarantee the stable operation of hydropower stations.

[1]  G. Štumberger,et al.  Differential Evolution-Based Identification of the Nonlinear Kaplan Turbine Model , 2014, IEEE Transactions on Energy Conversion.

[2]  Nand Kishor,et al.  Dynamic simulations of hydro turbine and its state estimation based LQ control , 2006 .

[3]  G. Adiletta,et al.  Dynamics of a Rigid Unbalanced Rotor with Nonlinear Elastic Restoring Forces. Part I: Theoretical Analysis , 1999 .

[4]  Chirag Trivedi,et al.  Investigation of a High Head Francis Turbine at Runaway Operating Conditions , 2016 .

[5]  Ole Gunnar Dahlhaug,et al.  Transient Pressure Measurements on a High Head Model Francis Turbine During Emergency Shutdown, Total Load Rejection, and Runaway , 2014 .

[6]  Diyi Chen,et al.  Nonlinear dynamical analysis of hydro-turbine governing system with a surge tank , 2013 .

[7]  Daolin Xu,et al.  Chaotification of quasi-zero-stiffness system with time delay control , 2016 .

[8]  F. Van De Meulebroeke,et al.  Hydro turbine model for system dynamic studies , 1994 .

[9]  Giovanna Cavazzini,et al.  A new generation of small hydro and pumped-hydro power plants: Advances and future challenges , 2014 .

[10]  Lixiang Zhang,et al.  Reconstruction of the complete characteristics of the hydro turbine based on inner energy loss , 2016 .

[11]  Hao Zhang,et al.  Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit , 2015 .

[12]  Chandan Kumar Shiva,et al.  Automatic Generation Control of Hydropower Systems Using a Novel Quasi-oppositional Harmony Search Algorithm , 2016 .

[13]  Paolo Pennacchi,et al.  Modeling of the dynamic response of a Francis turbine , 2012 .

[14]  Georgios A. Florides,et al.  Ground heat exchangers—A review of systems, models and applications , 2007 .

[15]  Paolo Pennacchi,et al.  A cyclostationary multi-domain analysis of fluid instability in Kaplan turbines , 2015 .

[16]  Randolph E. Bank,et al.  Transient simulation of silicon devices and circuits , 1985 .

[17]  Giovanna Cavazzini,et al.  Numerical Analysis of the Transient Behaviour of a Variable Speed Pump-Turbine during a Pumping Power Reduction Scenario , 2016 .

[18]  Roberto Carapellucci,et al.  Techno-economic evaluation of small-hydro power plants: Modelling and characterisation of the Abruzzo region in Italy , 2015 .

[19]  John Jairo Coronado,et al.  Failure analysis of a run-of-the-river hydroelectric power plant , 2016 .

[20]  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.

[21]  R. P. Saini,et al.  A review on hydropower plant models and control , 2007 .

[22]  L. Shampine,et al.  Numerical Solution of Ordinary Differential Equations. , 1995 .

[23]  Weerapon Nuantong,et al.  Optimal Design of VLH Axial Hydro-Turbine using Regression Analysis and Multi-Objective Function (GA) Optimization Methods , 2016 .

[24]  Beibei Xu,et al.  Nonlinear modeling and dynamic analysis of hydro-turbine governing system in the process of load rejection transient , 2015 .

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

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

[27]  Jing Qian,et al.  Hamiltonian stabilization additional L2 adaptive control and its application to hydro turbine generating sets , 2015 .

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

[29]  Daijian Ling,et al.  An analysis of the hopf bifurcation in a hydroturbine governing system with saturation , 2006 .

[30]  Yigang He,et al.  New results on stability and stabilization of a class of nonlinear fractional-order systems , 2013, Nonlinear Dynamics.

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

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