Journal
NONLINEAR DYNAMICS
Volume 81, Issue 3, Pages 1263-1274Publisher
SPRINGER
DOI: 10.1007/s11071-015-2066-5
Keywords
Hydro-turbine-generator unit; Fractional order; Nonlinear dynamics; Mathematical modeling
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Funding
- scientific research foundation of National Natural Science Foundation [51479173, 51109180, 51279167]
- National Science and Technology Supporting Plan from the Ministry of Science and Technology of People's Republic of China [2011BAD29B08]
- Fundamental Research Funds for the Central Universities of Ministry of Education of China [201304030577]
- Northwest A&F University Foundation, China [2013BSJJ095]
- Science Fund for Excellent Young Scholars from Northwest AF University
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In order to study the stability of a hydro-turbine-generator unit in further depth, we establish a novel nonlinear fractional-order mathematical model considering a fractional-order damping force, a fractional-order oil-film force, an asymmetric magnetic pull and a hydraulic-asymmetric force. Furthermore, the nonlinear dynamics of the above fractional-order hydro-turbine-generator unit system with six typical fractional orders are studied in detail. Based on these, we analyze the effect of the fractional-order on bifurcation points, the orbit of centroid of the rotor, the power and the frequency of the rotor. Fortunately, some variable laws are found from numerical simulation results. Finally, all of these results have enriched the dynamical behaviors of a hydro-turbine-generator system.
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