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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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    8. Yang, Weijia & Norrlund, Per & Bladh, Johan & Yang, Jiandong & Lundin, Urban, 2018. "Hydraulic damping mechanism of low frequency oscillations in power systems: Quantitative analysis using a nonlinear model of hydropower plants," Applied Energy, Elsevier, vol. 212(C), pages 1138-1152.
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    10. Wencheng Guo & Daoyi Zhu, 2018. "A Review of the Transient Process and Control for a Hydropower Station with a Super Long Headrace Tunnel," Energies, MDPI, vol. 11(11), pages 1-27, November.
    11. Li, Ruopu & Arzaghi, Ehsan & Abbassi, Rouzbeh & Chen, Diyi & Li, Chunhao & Li, Huanhuan & Xu, Beibei, 2020. "Dynamic maintenance planning of a hydro-turbine in operational life cycle," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    12. Liu, Baonan & Zhou, Jianzhong & Xu, Yanhe & Lai, Xinjie & Shi, Yousong & Li, Mengyao, 2022. "An optimization decision-making framework for the optimal operation strategy of pumped storage hydropower system under extreme conditions," Renewable Energy, Elsevier, vol. 182(C), pages 254-273.
    13. Shuang Li & Yong Yang & Qing Xia, 2018. "Dynamic Safety Assessment in Nonlinear Hydropower Generation Systems," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    14. Vinod, J. & Sarkar, Bikash K. & Sanyal, Dipankar, 2022. "Flow control in a small Francis turbine by system identification and fuzzy adaptation of PID and deadband controllers," Renewable Energy, Elsevier, vol. 201(P2), pages 87-99.
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    17. Yang, Weijia & Norrlund, Per & Chung, Chi Yung & Yang, Jiandong & Lundin, Urban, 2018. "Eigen-analysis of hydraulic-mechanical-electrical coupling mechanism for small signal stability of hydropower plant," Renewable Energy, Elsevier, vol. 115(C), pages 1014-1025.
    18. Li, Huanhuan & Chen, Diyi & Arzaghi, Ehsan & Abbassi, Rouzbeh & Xu, Beibei & Patelli, Edoardo & Tolo, Silvia, 2018. "Safety assessment of hydro-generating units using experiments and grey-entropy correlation analysis," Energy, Elsevier, vol. 165(PA), pages 222-234.

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