The chaotic motions are investigated both analytically and numerically for a class of single-machine-infinite bus power systems. The mechanism and parametric conditions for chaotic motions of this system are obtained rigorously. The critical curves separating the chaotic and non-chaotic regions are presented. The chaotic feature of the system parameters is discussed in detail. It is shown that there exist chaotic bands for this system, and the bands vary with the system parameters. Some new dynamical phenomena are presented. Numerical results are given, which verify the analytical ones.
ChenXWZhangWNZhangWD (2005) Chaotic and subharmonic oscillations of a nonlinear power system. IEEE Transactions on Circuits and Systems52: 811–815.
2.
EI-KishkyHEbrahamiH (2014) On modeling and control of advanced aircraft electric power systems: System stability and bifurcation analysis. International Journal of Electrical Power & Energy Systems63: 246–259.
3.
GholizadehHHassanniaAAzarfarA (2013) Chaos detection and control in a typical power system. Chinese Physics B22: 010503.
4.
LiJBChenFJ (2012) Chaos, Melnikov Method and its New Development, 2nd ed. Beijing: Science Press.
5.
LiSZKangSY (2009) Research on chaos of power system under periodic disturbance. Journal of Guangxi University (Natural Science Edition)34: 580–585.
6.
LiwschitzMM (1941) Positive and negative damping in synchronous machines. AIEE Transactions60: 210–213.
7.
LuisFCANewtonGB (2000) Application of Melnikov’s method for computing heteroclinic Orbits in a Classical SMIB Power System Model. IEEE Transactions on Circuits and Systems: Fundamental Theory and Applications47: 1085–1089.
8.
MaCYLiuJHWangCL (2012) Chaos of a power system model and its control. Journal of Vibration and Control18: 2176–2185.
9.
Ma ML, Ming FH, Huang WD, et al. (2014a) Dynamic analysis and controlling chaos of the electrical power system with the disturbance of electromagnetic power. In: Proceedings of the 33rd Chinese control conference, 28–30 July 2014, Nanjing, China, pp.1994–1998.
10.
MaPFLiHYuMYet al. (2014b) Control of chaos in power system under Gaussian white noise. Computer Measurement & Control22: 578–580.
11.
QinYHLiJC (2014) Random parameters induce chaos in power systems. Nonlinear Dynamics77(4): 1609–1615.
12.
WangXDChenYS (2014) Bifurcation and singularity analysis for a class of power systems. Journal of Vibration and Shock33: 1–6.
13.
WigginsS (1990) Introduction to Applied Non-Linear Dynamical Systems and Chaos, New York: Springer.
14.
ZhangWNZhangWD (1999) Chaotic oscillation of a nonlinear power system. Applied Mathematics and Mechanics20: 1094–1100.
15.
ZhuZYCaiLYLiuWT (2008) Computation of chaotic oscillation parameter in electrical power system based on Melnikov method. Proceedings of the CSU-EPSA20(3): 41–45.
