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Hamiltonian analysis of a hydro-energy generation system in the transient of sudden load increasing

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  • Li, Huanhuan
  • Chen, Diyi
  • Zhang, Hao
  • Wu, Changzhi
  • Wang, Xiangyu

Abstract

This paper addresses the Hamiltonian mathematical modeling and dynamic analysis of a hydro-energy generation system in the transient of sudden load increasing. First, six dynamic transfer coefficients of the hydro-turbine for the transient of sudden load increasing are innovatively introduced into the hydro-energy generation system. Considering the elastic water-hammer model of the penstock and third-order model of the generator, we established a dynamic mathematical model of the hydro-energy generation system in the transient of sudden load increasing. Moreover, from the point of view of the transmission and dissipation of energy of the system, we propose the hydro-energy generation system into the theory frame of the generalized Hamiltonian system. A novel Hamiltonian model of the hydro-energy generation system is established utilizing the method of orthogonal decomposition. Finally, based on the data of a real hydropower plant, numerical simulations and physical experiment are carried out, and the results indicates that the Hamiltonian system can reflect the essence of the nonlinearity of the hydro-energy generation system in the transient of sudden load increasing. More importantly, these methods and results will supply theoretical basis for designing and running a hydropower plant.

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  • Li, Huanhuan & Chen, Diyi & Zhang, Hao & Wu, Changzhi & Wang, Xiangyu, 2017. "Hamiltonian analysis of a hydro-energy generation system in the transient of sudden load increasing," Applied Energy, Elsevier, vol. 185(P1), pages 244-253.
    • Handle: RePEc:eee:appene:v:185:y:2017:i:p1:p:244-253
    DOI: 10.1016/j.apenergy.2016.10.080
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    as
    1. Florides, Georgios & Kalogirou, Soteris, 2007. "Ground heat exchangers—A review of systems, models and applications," Renewable Energy, Elsevier, vol. 32(15), pages 2461-2478.
    2. Stenzel, Peter & Linssen, Jochen, 2016. "Concept and potential of pumped hydro storage in federal waterways," Applied Energy, Elsevier, vol. 162(C), pages 486-493.
    3. Carapellucci, Roberto & Giordano, Lorena & Pierguidi, Fabio, 2015. "Techno-economic evaluation of small-hydro power plants: Modelling and characterisation of the Abruzzo region in Italy," Renewable Energy, Elsevier, vol. 75(C), pages 395-406.
    4. Guo, Ruipeng & Zhu, Xiaojie & Chen, Bin & Yue, Yunli, 2016. "Ecological network analysis of the virtual water network within China’s electric power system during 2007–2012," Applied Energy, Elsevier, vol. 168(C), pages 110-121.
    5. Zhang, Qi & Mclellan, Benjamin C. & Tezuka, Tetsuo & Ishihara, Keiichi N., 2013. "An integrated model for long-term power generation planning toward future smart electricity systems," Applied Energy, Elsevier, vol. 112(C), pages 1424-1437.
    6. Gohil, Pankaj P. & Saini, R.P., 2015. "Effect of temperature, suction head and flow velocity on cavitation in a Francis turbine of small hydro power plant," Energy, Elsevier, vol. 93(P1), pages 613-624.
    7. Beran, V. & Sedláček, M. & Marˇs´ık, F., 2013. "A new bladeless hydraulic turbine," Applied Energy, Elsevier, vol. 104(C), pages 978-983.
    8. Zhang, Sufang & Andrews-Speed, Philip & Perera, Pradeep, 2015. "The evolving policy regime for pumped storage hydroelectricity in China: A key support for low-carbon energy," Applied Energy, Elsevier, vol. 150(C), pages 15-24.
    9. Beevers, D. & Branchini, L. & Orlandini, V. & De Pascale, A. & Perez-Blanco, H., 2015. "Pumped hydro storage plants with improved operational flexibility using constant speed Francis runners," Applied Energy, Elsevier, vol. 137(C), pages 629-637.
    10. Kishor, Nand & Saini, R.P. & Singh, S.P., 2007. "A review on hydropower plant models and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(5), pages 776-796, June.
    11. Giosio, D.R. & Henderson, A.D. & Walker, J.M. & Brandner, P.A. & Sargison, J.E. & Gautam, P., 2015. "Design and performance evaluation of a pump-as-turbine micro-hydro test facility with incorporated inlet flow control," Renewable Energy, Elsevier, vol. 78(C), pages 1-6.
    12. Ardizzon, G. & Cavazzini, G. & Pavesi, G., 2014. "A new generation of small hydro and pumped-hydro power plants: Advances and future challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 31(C), pages 746-761.
    13. Rahman, Md. Mustafizur & Khan, Md. Mohib-Ul-Haque & Ullah, Mohammad Ahsan & Zhang, Xiaolei & Kumar, Amit, 2016. "A hybrid renewable energy system for a North American off-grid community," Energy, Elsevier, vol. 97(C), pages 151-160.
    14. Ren, Jingzheng & Gao, Suzhao & Tan, Shiyu & Dong, Lichun & Scipioni, Antonio & Mazzi, Anna, 2015. "Role prioritization of hydrogen production technologies for promoting hydrogen economy in the current state of China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 1217-1229.
    15. Huang, Sy-Ruen & Chang, Pao-Long & Hwang, Ya-Wen & Ma, Yen-Huai, 2014. "Evaluating the productivity and financial feasibility of a vertical-axis micro-hydro energy generation project using operation simulations," Renewable Energy, Elsevier, vol. 66(C), pages 241-250.
    Full references (including those not matched with items on IDEAS)

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