Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System

This paper focuses on the swing oscillation process of the synchronous generator rotors in a three-machine power system. With the help of bifurcation diagram, time history, phase portrait, Poincare section, and frequency spectrum, the complex dynamical behaviors and their evolution process are detected clearly in this power system with varying perturbation related parameters and different system parameters. Furthermore, combining the qualitative and quantitative characteristics of the chaotic motion, different paths leading to chaos coexisting in this system have been found. The Wolf method has been introduced to calculate the corresponding largest Lyapunov exponent, which is used to verify the occurrence of chaotic motion. These results obtained in this paper will contribute to a better understanding of nonlinear dynamic behaviors of synchronous generator rotors in a three-machine power system.

[1]  Bo Zhang,et al.  Effect of noise on erosion of safe basin in power system , 2010 .

[2]  XianZhong Duan,et al.  Bifurcation analysis for an SMIB power system with series capacitor compensation associated with sub-synchronous resonance , 2009 .

[3]  Hsien-Keng Chen,et al.  Dynamic analysis, controlling chaos and chaotification of a SMIB power system , 2005 .

[4]  Ali H. Nayfeh,et al.  Chaos and instability in a power system — Primary resonant case , 1990 .

[5]  Xiaoli Wang,et al.  Bifurcation Analysis of a Power System Model with Three Machines and Four Buses , 2016, Int. J. Bifurc. Chaos.

[6]  N. Bretas,et al.  Application of Melnikov's method for computing heteroclinic orbits in a classical SMIB power system model , 2000 .

[7]  Yoshisuke Ueda,et al.  Nonlinear Resonance in Basin Portraits of Two Coupled Swings Under Periodic Forcing , 1998 .

[8]  Ali H. Nayfeh,et al.  Chaos and instability in a power system: Subharmonic-resonant case , 1991 .

[9]  Xiaoshu Luo,et al.  Noise-induced chaos in single-machine infinite-bus power systems , 2009 .

[10]  Weinian Zhang,et al.  Chaotic and subharmonic oscillations of a nonlinear power system , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[11]  M. Rizon,et al.  Transient Stability Analysis of a Three-machine Nine Bus Power System Network , 2014 .

[12]  Zhang Weidong,et al.  Chaotic oscillation of a nonlinear power system , 1999 .

[13]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[14]  Amin Hajizadeh,et al.  Nonlinear fractional‐order power system stabilizer for multi‐machine power systems based on sliding mode technique , 2015 .

[15]  Hsiao-Dong Chiang,et al.  Damping Torques of Multi-Machine Power Systems During Transient Behaviors , 2014, IEEE Transactions on Power Systems.

[16]  Caiqin Song,et al.  Nonlinear dynamic analysis of a single-machine infinite-bus power system , 2015 .

[17]  Fuhong Min,et al.  Nonlinear dynamic analysis and surface sliding mode controller based on low pass filter for chaotic oscillation in power system with power disturbance , 2018, Chinese Journal of Physics.

[18]  M. A. Salam.  Transient stability analysis of a power system with one generator connected to an infinite bus system , 2014 .

[19]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[20]  D. Maratukulam,et al.  Hopf bifurcations in a SMIB power system with SSR , 1996 .