Dynamic modeling and energy distribution analysis in a hydroelectric generating system considering the stochastic turbine flow

Bingqian Guo1,2,3, Beibei Xu1,2,3, Diyi Chen1,2,3, Wei Ye1,2,3, Pengcheng Guo4, Xingqi Luo4
1Key Laboratory of Agricultur al Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A & F University, Shaanxi Yangling, 712100, PR China
2Institute of Water Resources and Hydropower Research, Northwest A&F University, Shaanxi Yangling, 712100, PR China
3Australasian Joint Research Centre for Building Information Modelling, School of Built Environment, Curtin University, WA 6102, Australia
4State Key Laboratory Based of Eco-hydraulic Engineering in Arid Area, Xi’an University of Technology, Xi’an, 710048, Shaanxi, PR China

Tài liệu tham khảo

Ran, 2011, Cooperation is key to Asian hydropower, Nature, 473, 452, 10.1038/473452c Turner B. United Nations Framework Convention on Climate Change[M]// The Statesman’s Yearbook. Palgrave Macmillan UK, 2012:A353-A353. Xu, 2017, Will China make a difference in its carbon intensity reduction targets by 2020 and 2030?[J], Appl Energy, 203, 874, 10.1016/j.apenergy.2017.06.087 Ferreira, 2016, Assessment of the potential of small hydropower development in Brazil, Renew Sustain Energy Rev, 56, 380, 10.1016/j.rser.2015.11.035 Balkhair, 2017, Sustainable and economical small-scale and low-head hydropower generation: A promising alternative potential solution for energy generation at local and regional scale, Appl Energy, 188, 378, 10.1016/j.apenergy.2016.12.012 Năstase, 2017, Hydropower development in Romania. A review from its beginnings to the present, Renew Sustain Energy Rev, 80, 297, 10.1016/j.rser.2017.05.209 Khan, 2015, Small hydro power in India: is it a sustainable business?, Appl Energy, 152, 207, 10.1016/j.apenergy.2014.11.063 Zhang, 2011, Stochastic analysis of water hammer and applications in reliability-based structural design for hydro turbine penstocks, J Hydraul Eng-ASME, 137, 1509, 10.1061/(ASCE)HY.1943-7900.0000414 Mitchell, 2016, Momentum is increasing towards a flexible electricity system based on renewables, Nat Energy, 1, 15030, 10.1038/nenergy.2015.30 Holanda, 2017, Assessment of hydrokinetic energy resources downstream of hydropower plants, Renewable Energy, 101, 1203, 10.1016/j.renene.2016.10.011 Chatterjee, 2012, Transient performance improvement of grid connected hydro system using distributed generation and capacitive energy storage unit, Int J Electr Power Energy Syst, 43, 210, 10.1016/j.ijepes.2012.04.031 Guo, 1996, A hydraulic losses model of the diversion components of hydraulic turbines, J Hydraul Eng, 10, 56 Traxler-Samek, 2010, Additional losses in the damper winding of large hydrogenerators at open-circuit and load conditions, IEEE Trans Ind Electron, 57, 154, 10.1109/TIE.2009.2026773 Riasi, 2017, Numerical analysis of the hydraulic transient response in the presence of surge tanks and relief valves[J], Renewable Energy, 107, 138, 10.1016/j.renene.2017.01.046 Ansari, 2014, Stochastic security-constrained hydrothermal unit commitment considering uncertainty of load forecast, inflows to reservoirs and unavailability of units by a new hybrid decomposition strategy, IET Gener Transm Distrib, 8, 1900, 10.1049/iet-gtd.2014.0145 Hermida, 2018, On the hydropower short-term scheduling of large basins, considering nonlinear programming, stochastic inflows and heavy ecological restrictions, Int J Electr Power Energy Syst, 97, 408, 10.1016/j.ijepes.2017.10.033 Koirala, 2017, A review on flow and sediment erosion in guide vanes of Francis turbines, Renew Sustain Energy Rev, 75, 1054, 10.1016/j.rser.2016.11.085 Nwobi-Okoye, 2012, Performance evaluation of hydropower generation system using transfer function modelling, Int J Electr Power Energy Syst, 43, 245, 10.1016/j.ijepes.2012.04.059 Zhang, 2016, Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation[J], Arch Appl Mech, 86, 1665, 10.1007/s00419-016-1142-8 Lua, 2004, Nonlinear decentralized robust governor control for hydroturbine-generator sets in multi-machine power systems, Int J Electr Power Energy Syst, 26, 333, 10.1016/j.ijepes.2003.10.018 Borkowski, 2013, Small Hydropower Plant With Integrated Turbine-Generators Working at Variable Speed, IEEE Trans Energy Convers, 28, 452, 10.1109/TEC.2013.2247605 Cordova, 2014, Performance evaluation and energy production optimization in the real-time operation of hydropower plants, Electr Power Syst Res, 116, 201, 10.1016/j.epsr.2014.06.012 Quaranta, 2015, Performance characteristics, power losses and mechanical power estimation for a breastshot water wheel, Energy., 87, 315, 10.1016/j.energy.2015.04.079 Qian, 2016, Reconstruction of the complete characteristics of the hydro turbine based on inner energy loss, Nonlinear Dyn, 1–12 Verdejo, 2016, Stochastic modeling to represent wind power generation and demand in electric power system based on real data, Appl Energy, 173, 283, 10.1016/j.apenergy.2016.04.004 Shinozuka, 1972, Probabilistic modeling of concrete structures, Journal of the Engineering Mechanics Division, 10.1061/JMCEA3.0001691 Kleiber M, Hien TD. The stochastic finite element method. Basic perturbation technique and computer implementation. Incl. 1 disc. 1994. Ghanem, 2003 Pettit, 2006, Spectral and multiresolution Wiener expansions of oscillatory stochastic processes, J Sound Vib, 294, 752, 10.1016/j.jsv.2005.12.043 Wan, 2005, An adaptive multi-element generalized polynomial chaos method for stochastic differential equations, J Comput Phys, 209, 617, 10.1016/j.jcp.2005.03.023 Liu X, Hong L, Yang L. Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System. Abstract and Applied Analysis, 2014, (2014-6-9). 2014;2014:1–10. Ma, 2012, The stochastic Hopf bifurcation analysis in Brusselator system with random parameter, Appl Math Comput, 219, 306 Fang, 2003, Chebyshev polynomial approximation for dynamical response problem of random system, J Sound Vib, 266, 198, 10.1016/S0022-460X(03)00040-3 Ma, 2008, Period-doubling bifurcation in an extended van der Pol system with bounded random parameter, Commun Nonlinear Sci Numer Simul, 13, 2256, 10.1016/j.cnsns.2007.05.030 Xu, 2010, Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method, Nonlinear Dyn, 65, 77, 10.1007/s11071-010-9875-3 Wu, 2016, A model establishment and numerical simulation of dynamic coupled hydraulic–mechanical–electric–structural system for hydropower station[J], Nonlinear Dyn, 87, 1, 10.1023/A:1024223118496 Xu, 2018, Model validation and stochastic stability of a hydro-turbine governing system under hydraulic excitations, Int J Electr Power Energy Syst, 95, 156, 10.1016/j.ijepes.2017.08.008 Zeng, 2017, Efficiency limit factor analysis for the Francis-99 hydraulic turbine[C]// Journal of Physics Conference Series, J Phys Conf Ser, 012008 Yun, 2010, Torque model of hydro turbine with inner energy loss characteristics[J], Science China Technological Sciences, 53, 2826, 10.1007/s11431-010-4098-x Zhang, 2018, Dynamic analysis of a pumped-storage hydropower plant with random power load, Mech Syst Sig Process, 100, 524, 10.1016/j.ymssp.2017.07.052 Li, 2016, Nonlinear modeling and dynamic analysis of a hydro-turbine governing system in the process of sudden load increase transient, Mech. Syst. Signal Proc., 80, 414, 10.1016/j.ymssp.2016.04.006 Xu, 2017, Sensitivity analysis of a Pelton hydropower station based on a novel approach of turbine torque, Energy Convers Manage, 148, 785, 10.1016/j.enconman.2017.06.019 Xu, 2015, Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit, Nonlinear Dyn, 81, 1263, 10.1007/s11071-015-2066-5 Xu W. Numerical analysis methods for stochastic dynamical system; 2013 [in Chinese].