In this paper, we pay attention to studying the switched model of the hydroturbine governing system (HTGS) by introducing the concept of the switching of operational conditions. More specifically, utilizing the data of an existent hydropower station in China, we propose six nonlinear dynamic transfer coefficients of the hydroturbine, which can better describe the dynamic characteristics of the HTGS in the process of load rejection transient. Moreover, the elastic water hammer-impact of the penstock system and the nonlinearity of the generator for the process of load rejection transient are considered. Based on the combination of the different regulation modes of the governor and the corresponding running conditions of the hydroelectric generating unit, a novel nonlinear dynamic switched mathematical model of the HTGS is finally established. Meanwhile, the nonlinear dynamic behaviors of the governing system are exhaustively investigated using numerical simulations. These methods and analytical results will provide some theory bases for running a hydropower station.
Issue Section:
Research Papers
References
1.
Yao
, J. Y.
, Jiao
, Z. X.
, Ma
, D. W.
, and Yan
, L.
, 2014
, “High-Accuracy Tracking Control of Hydraulic Rotary Actuators With Modeling Uncertainties
,” IEEE-ASME Trans. Mechatron.
, 19
(2
), pp. 633
–641
.2.
Natarajan
, K.
, 2005
, “Robust PID Controller Design for Hydroturbines
,” IEEE Trans. Energy Convers.
, 20
(3
), pp. 661
–667
.3.
IEEE Working Group
, 1992
, “Hydraulic-Turbine and Turbine Control-Models for System Dynamic Studies
,” IEEE Trans. Power Syst.
, 7
(1
), pp. 167
–179
.4.
Guo
, W. C.
, Yang
, J. D.
, Wang
, M. J.
, and Lai
, X.
, 2015
, “Nonlinear Modeling and Stability Analysis of Hydro-Turbine Governing System With Sloping Ceiling Tailrace Tunnel Under Load Disturbance
,” Energy Convers. Manage.
, 106
, pp. 127
–138
.5.
Nagode
, K.
, and Skrjanc
, I.
, 2014
, “Modelling and Internal Fuzzy Model Power Control of a Francis Water Turbine
,” Energies
, 7
(2
), pp. 874
–889
.6.
Kishor
, N.
, 2008
, “Nonlinear Predictive Control to Track Deviated Power of an Identified NNARX Model of a Hydro Plant
,” Expert Syst. Appl.
, 35
(4
), pp. 1741
–1751
.7.
Skripkin
, S.
, Tsoy
, M.
, Shtork
, S.
, and Hanjalic
, K.
, 2016
, “Comparative Analysis of Twin Vortex Ropes in Laboratory Models of Two Hydro-Turbine Draft-Tubes
,” J. Hydraul. Res.
, 54
(4
), pp. 450
–460
.8.
Johnson
, R. M.
, Chow
, J. H.
, and Dillon
, M. V.
, 2013
, “Pelton Turbine Needle Control Model Development, Validation, and Governor Designs
,” ASME J. Dyn. Syst. Meas. Control
, 135
(1
), p. 011015
.9.
Wei
, S. P.
, 2011
, Simulation of Hydraulic Turbine Regulating System
, Huazhong University of Science and Technology Press
, Wuhan, China
.10.
Ding
, X. B.
, and Sinha
, A.
, 2016
, “Hydropower Plant Frequency Control Via Feedback Linearization and Sliding Mode Control
,” ASME J. Dyn. Syst. Meas. Control
, 138
(7
), p. 074501
.11.
Jiang
, C. W.
, and Ma
, Y. C.
, 2006
, “PID Controller Parameters Optimization of Hydro-Turbine Governing Systems Using Deterministic-Chaotic-Mutation Evolutionary Programming (DCMEP)
,” Energy Convers. Manage.
, 47
(9–10
), pp. 1222
–1230
.12.
Chen
, D. Y.
, Ding
, C.
, Do
, Y. H.
, Ma
, X. Y.
, Zhao
, H.
, and Wang
, Y. C.
, 2014
, “Nonlinear Dynamic Analysis for a Francis Hydro-Turbine Governing System and Its Control
,” J. Franklin Inst.: Eng. Appl. Math.
, 351
(9
), pp. 4596
–4618
.13.
Nasselqvist
, M.
, Gustavsson
, R.
, and Aidanpaa
, J. O.
, 2013
, “A Methodology for Protective Vibration Monitoring of Hydropower Units Based on the Mechanical Properties
,” ASME J. Dyn. Syst. Meas. Control
, 135
(4
), p. 041007
.14.
Zeng
, Y.
, Zhang
, L. X.
, Guo
, Y. K.
, and Qian
, J.
, 2015
, “Hamiltonian Stabilization Additional L2 Adaptive Control and Its Application to Hydro Turbine Generating Sets
,” Int. J. Control. Autom. Syst.
, 13
(4
), pp. 867
–876
.15.
Kishor
, N.
, Saini
, R. P.
, and Singh
, S. P.
, 2007
, “A Review on Hydropower Plant Models and Control
,” Renewable Sustainable Energy Rev.
, 11
(5
), pp. 776
–796
.16.
Nataraj
, P. S. V.
, and Kalla
, R.
, 2010
, “Computation of Stability Margins for Uncertain Linear Fractional-Order Systems
,” ASME J. Dyn. Syst. Meas. Control
, 132
(1
), p. 014502
.17.
Acharya
, N.
, Kim
, C. G.
, Thapa
, B.
, and Lee
, Y. H.
, 2015
, “Numerical Analysis and Performance Enhancement of a Cross-Flow Hydro Turbine
,” Renewable Energy
, 80
, pp. 819
–826
.18.
Kuiava
, R.
, Ramos
, R. A.
, and Pota
, H. R.
, 2013
, “A New Method to Design Robust Power Oscillation Dampers for Distributed Synchronous Generation Systems
,” ASME J. Dyn. Syst. Meas. Control
, 135
(3
), p. 031011
.19.
Lin
, S. T.
, and Chen
, M. W.
, 2011
, “A PID Type Constraint Stabilization Method for Numerical Integration of Multibody Systems
,” ASME J. Comput. Nonlinear Dyn.
, 6
(4
), p. 044501
.20.
De Jaeger
, E.
, Janssens
, N.
, Malfliet
, B.
, and Vandemeulebroeke
, F.
, 1994
, “Hydro Turbine Model for System Dynamic Studies
,” IEEE Trans. Power Syst.
, 9
(4
), pp. 1709
–1715
.21.
Qian
, D. W.
, Yi
, J. Q.
, and Liu
, X. J.
, 2011
, “Design of Reduced Order Sliding Mode Governor for Hydro-Turbines
,” IEEE American Control Conference
(ACC
), San Francisco, CA, June 29–July 01, pp. 5073
–5078
.22.
Sun
, M. F.
, Wang
, R. L.
, Wang
, J.
, and Lu
, J. B.
, 2011
, “Research of Simulation Model for Non-Linear Turbine Regulating System
,” Advanced Materials Research
, Oct. 21–23, Shanghai University of Electric Power, Shanghai, China, pp. 569
–574
.23.
Kishor
, N.
, Singh
, S. P.
, and Raghuvanshi
, A. S.
, 2006
, “Dynamic Simulations of Hydro Turbine and Its State Estimation Based LQ Control
,” Energy Convers. Manage.
, 47
(18–19
), pp. 3119
–3137
.24.
Zhang
, H.
, Chen
, D. Y.
, Xu
, B. B.
, and Wang
, F. F.
, 2015
, “Nonlinear Modeling and Dynamic Analysis of Hydro-Turbine Governing System in the Process of Load Rejection Transient
,” Energy Convers. Manage.
, 90
, pp. 128
–137
.25.
Liu
, X. L.
, and Gao
, H. M.
, 2003
, “A Comparative Study of the Transfer Coefficients of the Hydro-Turbine
,” J. Zhengzhou Univ. (Eng. Sci.)
, 24
(4
), pp. 1
–5
.26.
Shen
, Z. Y.
, 1998
, Hydraulic Turbine Regulation
, WaterPower Press
, Beijing, China
.27.
Xu
, B. B.
, Chen
, D. Y.
, Zhang
, H.
, and Wang
, F. F.
, 2015
, “Modeling and Stability Analysis of a Fractional-Order Francis Hydro-Turbine Governing System
,” Chaos Solitons Fractals
, 75
, pp. 50
–61
.28.
Ling
, D. J.
, 2007
, “Bifurcation and Chaos of Hydraulic Turbine Governor
,” Ph.D. thesis, Hohai University, Nanjing, China.29.
Shou
, M. H.
, and Zhang
, X. B.
, 1984
, “Study on the Dynamic Model of the Hydro-Turbine Linear Control System
,” J. Electr. Eng.
, 4
(2
), pp. 48
–57
.30.
Xu
, B. B.
, Wang
, F. F.
, Chen
, D. Y.
, and Zhang
, H.
, 2016
, “Hamiltonian Modeling of Multi-Hydro-Turbine Governing Systems With Sharing Common Penstock and Dynamic Analyses Under Shock Load
,” Energy Convers. Manage.
, 108
, pp. 478
–487
.31.
Xu
, B. B.
, Chen
, D. Y.
, Zhang
, H.
, and Wang
, F. F.
, 2015
, “The Modeling of the Fractional-Order Shafting System for a Water Jet Mixed-Flow Pump During the Startup Process
,” Commun. Nonlinear Sci. Numer. Simul.
, 29
(1–3
), pp. 12
–24
.32.
Li
, H. H.
, Chen
, D. Y.
, Zhang
, H.
, Wang
, F. F.
, and Ba
, D. D.
, 2016
, “Nonlinear Modeling and Dynamic Analysis of a Hydro-Turbine Governing System in the Process of Sudden Load Increase Transient
,” Mech. Syst. Signal Process.
, 80
, pp. 414
–428
.33.
Chang
, J. S.
, 2005
, Transients of Hydraulic Machine Installations
, Higher Education Press
, Beijing, China
.34.
Chen
, D. Y.
, Ding
, C.
, Ma
, X. Y.
, Yuan
, P.
, and Ba
, D. D.
, 2013
, “Nonlinear Dynamical Analysis of Hydro-Turbine Governing System With a Surge Tank
,” Appl. Model.
, 37
(14–15
), pp. 7611
–7623
.35.
Li
, Y.
, 2015
, Principles of Automatic Control
, Northwestern Polytechnic University Press
, Xi'an, China
.36.
Dorf
, R. C.
, and Bishop
, R. H.
, 2007
, Modern Control Systems
, Prentice-Hall
, Upper Saddle River, NJ
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