Nonlinear hydro turbine model having a surge tank

This article 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.

[1]  P. Kundur,et al.  Power system stability and control , 1994 .

[2]  Oscar Daniel Quiroga.  Modelling and nonlinear control of voltage frequency of hydroelectric power plants , 2000 .

[3]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[4]  Shengwei Mei,et al.  A novel zero dynamics design method and its application to hydraulic turbine governor , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[5]  Li Xun-ming.  Comparisons of Optimal Tuning Hydro Turbine Governor PID Gains Based on Linear and Nonlinear Mathematical Models , 2010 .

[6]  Zhang Cheng-li.  Study for Hamiltonian System of Nonlinear Hydraulic Turbine Generating Unit , 2008 .

[7]  Long Chen,et al.  Basic Modeling and Simulation Tool for Analysis of Hydraulic Transients in Hydroelectric Power Plants , 2008, IEEE Transactions on Energy Conversion.

[8]  Song Liu,et al.  Nonlinear robust control for coordinated excitation and governor of hydroturbine generator sets , 2007, 2007 American Control Conference.

[9]  Chao Wang,et al.  Effect of Detailed Hydro Turbine Models on Power System Analysis , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[10]  Wei Hua,et al.  Multi-index Nonlinear Coordinated Control for TCSC and Hydro-turbine Generator Excitation and Governor , 2007, 2007 IEEE Power Engineering Society General Meeting.

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

[12]  M. Negnevitsky,et al.  Modelling of hydraulic turbine for dynamic studies and performance analysis , 2007, 2007 Australasian Universities Power Engineering Conference.

[13]  Shengwei Mei,et al.  Nonlinear co-ordinated control of excitation and governor for hydraulic power plants , 2005 .

[14]  P. Allenbach,et al.  High-Order Modeling of Hydraulic Power Plant in Islanded Power Network , 2007, IEEE Transactions on Power Systems.

[15]  Lixiang Zhang,et al.  Building and Analysis of Hydro Turbine Dynamic Model with Elastic Water Column , 2010, 2010 Asia-Pacific Power and Energy Engineering Conference.

[16]  Zhe Yuan,et al.  Trajectory sensitivity analysis of influences of excitation system and governors on the dynamics of hydroelectric generating unit , 2008, 2008 International Conference on Electrical Machines and Systems.

[17]  R. Oldenburger,et al.  Dynamic Response of a Hydroelectric Plant , 1962, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.