Open AccessNonlinear modeling and operation stability of variable speed pumped storage power station
Author(s) -
Guo Wencheng,
Zhu Daoyi
Publication year - 2021
Publication title -
energy science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 29
ISSN - 2050-0505
DOI - 10.1002/ese3.943
Subject(s) - control theory (sociology) , mathematics , nonlinear system , state variable , hopf bifurcation , variable (mathematics) , bifurcation , mathematical analysis , physics , computer science , control (management) , quantum mechanics , artificial intelligence , thermodynamics
This paper studies the nonlinear modeling and operation stability of variable speed pumped storage power station (PSPS). Firstly, basic equations of variable speed PSPS are established. Nonlinear state equation in the form of relative deviation value is derived by considering supplementary conditions. Then, Hopf bifurcation analysis of variable speed PSPS is carried out. Stable domain of variable speed PSPS is studied. Finally, influence of factors on stability is analyzed. Dynamic response of variable speed PSPS is investigated. The results indicate that variable speed PSPS is a five‐order nonlinear dynamic system. Nonlinear characteristics of variable speed PSPS reflect the nonlinear coupling effect between unit speed and rotor current. The emerged Hopf bifurcation is supercritical. Stable domain locates at the lower side of bifurcation line. Stable domain intuitively reflects and evaluates the stability of variable speed PSPS. When state point locates at stable domain, variable speed PSPS is stable and dynamic response of state variables is damped oscillation. A smaller flow inertia of penstock, a greater head loss of penstock, and a greater slip ratio are favorable for stability of variable speed PSPS. Stable domain under positive disturbance of active power is larger than that under negative disturbance of active power.