Dynamic analysis of multi-unit hydropower systems in transient process

Huanhuan Li, Diyi Chen, Beibei Xu, Silvia Tolo, Edoardo Patelli

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)
23 Downloads (Pure)


This paper addresses a mathematical model and dynamic analysis of multi-unit hydropower systems in transient process. In this work, the first unit is assumed to be subject to a sudden load decrease, while the second unit runs with load. An approach to the description of the six stochastic dynamic transfer coefficients of the hydro-turbine is proposed for the second unit. Moreover, a novel dynamic model for the multi-unit hydropower system, able to take into account the eventual occurrence of water hammer in the penstock and the nonlinearity of the generator, is introduced. Also, a numerical application is analyzed in order to investigate the effectiveness of the approach proposed and the dynamic characteristics of the system under study. Finally, a comparative analysis is proposed in order to validate the proposed system. The methods and results implemented in this work provide theoretical tools to guarantee the stable operation of hydropower stations.
Original languageEnglish
Pages (from-to)535-548
Number of pages14
JournalNonlinear Dynamics
Issue number1
Early online date21 Jul 2017
Publication statusPublished - 31 Oct 2017


  • multi-unit hydropower systems
  • stochastic transfer coefficients
  • transient process
  • dynamics


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