TY - JOUR
T1 - Nonlinear dynamic analysis for a Francis hydro-turbine governing system and its control
AU - Chen, Diyi
AU - Ding, Cong
AU - Do, Younghae
AU - Ma, Xiaoyi
AU - Zhao, Hua
AU - Wang, Yichen
PY - 2014/9
Y1 - 2014/9
N2 - In this paper, we introduce a novel model of a hydro-turbine system with the effect of surge tank based on state-space equations to study the nonlinear dynamical behaviors of the hydro-turbine system. The critical points of Hopf bifurcation and the relationship of the stability satisfying with the adjustment coefficients are obtained from direct algebraic criterion. Furthermore, the bifurcation diagrams and Lyapunov exponents are presented and analyzed. The dynamical behaviors of the points with representative characteristics are identified and studied in detail. Both theoretical analysis and numerical simulations show that chaotic oscillations, which cannot stabilize the system, may occur with the changes of adjustment coefficients. To control the undesirable chaotic behaviors in this system, fuzzy sliding mode governor based on the sliding mode control (SMC) and the fuzzy logic are designed, and considering the bounded disturbance. Finally, series of numerical simulations are presented to verify the effectiveness of the proposed governor, which prove that the hydro-turbine governing system can maintain a better operation station under the designed governor.
AB - In this paper, we introduce a novel model of a hydro-turbine system with the effect of surge tank based on state-space equations to study the nonlinear dynamical behaviors of the hydro-turbine system. The critical points of Hopf bifurcation and the relationship of the stability satisfying with the adjustment coefficients are obtained from direct algebraic criterion. Furthermore, the bifurcation diagrams and Lyapunov exponents are presented and analyzed. The dynamical behaviors of the points with representative characteristics are identified and studied in detail. Both theoretical analysis and numerical simulations show that chaotic oscillations, which cannot stabilize the system, may occur with the changes of adjustment coefficients. To control the undesirable chaotic behaviors in this system, fuzzy sliding mode governor based on the sliding mode control (SMC) and the fuzzy logic are designed, and considering the bounded disturbance. Finally, series of numerical simulations are presented to verify the effectiveness of the proposed governor, which prove that the hydro-turbine governing system can maintain a better operation station under the designed governor.
UR - http://www.scopus.com/inward/record.url?scp=84906307919&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2014.07.002
DO - 10.1016/j.jfranklin.2014.07.002
M3 - Article
AN - SCOPUS:84906307919
SN - 0016-0032
VL - 351
SP - 4596
EP - 4618
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 9
ER -