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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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    18. Soleymani, Fazlollah & Akgül, Ali, 2019. "Improved numerical solution of multi-asset option pricing problem: A localized RBF-FD approach," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 298-309.

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