New Developments in Fault Analysis Based on Dynamical Perspective

References

• D. Chen, S. Liu, and X. Ma, “Modeling, nonlinear dynamical analysis of a novel power system with random wind power and its control,” Energy, Vol. 53, pp. 139–46, May 2013.
   Web of Science ®Google Scholar
• M. A. Mahmud, M. J. Hossain, and H. R. Pota, “Transient stability enhancement of multimachine power systems using nonlinear observer-based excitation controller,” Int. J. Elect. Power Energy Syst., Vol. 58, pp. 57–63, Jun 2014.
   Web of Science ®Google Scholar
• Y. Zhang, Z. Wang, J. Zhang, and J. Ma, “Fault localization in electrical power systems: A pattern recognition approach,” Int. J. Elect. Power Energy Syst., Vol. 33, no. 3, pp. 791–8, Mar. 2011.
   Web of Science ®Google Scholar
• P. Hines, J. Apt, and S. Talukdar, “Large blackouts in North America: Historical trends and policy implications,” Energy Policy, Vol. 37, pp. 5249–59, Dec. 2009.
   Web of Science ®Google Scholar
• P. Pourbeik, P. S. Kundur, and C. W. Taylor, “The anatomy of a power grid blackout,” IEEE Power Energy Mag., Vol. 4, no. 5, pp. 22–9, Oct. 2006.
   Google Scholar
• Y. Yu, C. Zhang, X. Han, and Q. Bi, “Dynamical behavior analysis and bifurcation mechanism of a new 3-D nonlinear periodic switching system,” Nonlinear Dyn., Vol. 73, no. 3, pp. 1873–81, Aug. 2013.
   Web of Science ®Google Scholar
• C. Dong, and Y. Lan, “A variational approach to connecting orbits in nonlinear dynamical systems,” Phys. Lett. A, Vol. 378, no. 9, pp. 705–12, Feb. 2014.
   Web of Science ®Google Scholar
• C. Li, and Y. Ma, “Fractional dynamical system and its linearization theorem,” Nonlinear Dyn., Vol. 71, no. 4, pp. 621–33, Mar. 2013.
   Web of Science ®Google Scholar
• Q. Liu, K. Cao, and S. Peng, “A generalized Kolmogorov-Sinai-like entropy under Markov shifts in symbolic dynamics,” Physica A: Statist. Mech. Appl., Vol. 388, no. 20, pp. 4333–44, Oct. 2009.
   Web of Science ®Google Scholar
• A. Abdallah, “Exponential attractors for first-order lattice dynamical systems,” J. Math. Anal. Appl., Vol. 339, no. 1,pp. 217–24, Mar. 2008.
   Web of Science ®Google Scholar
• Z. Zhou, K. Cao, and S. Peng, “New universal bifurcation scenario in one-dimensional trimodal maps,” Phys. Lett. A, Vol. 372, no. 19, pp. 3407–14, May 2008.
   Web of Science ®Google Scholar
• J. Jost, Dynamical Systems. Berlin Heidelberg: Springer-Verlag, 2005.
   Google Scholar
• K. Cao, X. Zhang, Z. Zhou, and S. Peng, “Devil's carpet of topological entropy and complexity of global dynamical behavior,” Chaos Solitons & Fractals, Vol. 16, no. 5, pp. 709–26, Jun 2003.
   Web of Science ®Google Scholar
• B. Krauskopf, H.M. Osinga and J. Galán-Vioque, Numerical Continuation Methods for Dynamical Systems. Netherlands: Springer, 2007.
   Google Scholar
• Y. Zhang, Y. Xu, and Z. Wang, “Dynamical randomicity and predictive analysis in cubic chaotic system,” Nonlinear Dyn., Vol. 61, no. 1, pp. 241–9, Jul. 2010.
   Web of Science ®Google Scholar
• Y. Zhang, J. Zhang, Q. Ma, J. Ma, and Z. Wang, “Statistical description and forecasting analysis of life system,” Int. J. Nonlinear Sci. Numer. Simul., Vol. 11, no. 3, pp. 157–63, Mar. 2010.
   Web of Science ®Google Scholar
• Y. Zhang, and C. Wang, “Multiformity of inherent randomicity and visitation density in n-symbolic dynamics,” Chaos Solitons & Fractals, Vol.33, no. 2, pp. 685–94, Jul. 2007.
   Web of Science ®Google Scholar
• Y. Zhang, Y. Xu, and Z. Wang, “GM(1,1) grey prediction of Lorenz chaotic system,” Chaos Solitons & Fractals, Vol. 42, no. 2, pp. 1003–9, Oct. 2009.
   Web of Science ®Google Scholar
• B. Coll, F. Dumortier, and R. Prohens, “Configurations of limit cycles in Liénard equations,” J. Differ. Equ., no. 11, Vol. 255, pp. 4169–84, Dec. 2013.
   Web of Science ®Google Scholar
• S. E. Tuna, “Synchronization analysis of coupled Lienard-type oscillators by averaging,” Automatica, Vol. 48, no. 8, pp. 1885–91, 2012.
   Web of Science ®Google Scholar
• J. Llibre, and C. Valls, “Limit cycles for a generalization of polynomial Liénard differential systems,” Chaos Solitons & Fractals, Vol. 46, pp. 65–74, 2013.
   Web of Science ®Google Scholar
• H. N. Agiza, and A. E. Matouk, “Adaptive synchronization of Chua's circuits with fully unknown parameters,” Chaos Solitons & Fractals, Vol. 28, no. 1, pp. 219–27, Apr. 2006.
   Web of Science ®Google Scholar
• Z. Shi, S. Hong, and K. Chen, “Experimental study on tracking the state of analog Chua's circuit with particle filter for chaos synchronization,” Phys. Lett. A, Vol. 372, no. 34, pp. 5575–80, 2008.
   Web of Science ®Google Scholar
• Y. Wang, C. Wen, J. Xiao, and Z. Guan, “Impulsive synchronization of Chua's oscillators via a single variable,” Chaos Solitons & Fractals, Vol. 29, no. 1, pp. 198–201, Jul. 2006.
   Web of Science ®Google Scholar
• M. P. Aghababa, “A switching fractional calculus-based controller for normal non-linear dynamical systems,” Nonlinear Dyn., Vol. 75, no. 3, pp. 577–88, Feb. 2014.
   Web of Science ®Google Scholar
• A. Ichiki, and Y. Tadokoro, “Signal-to-noise ratio improvement by stochastic resonance in moments in non-dynamical systems with multiple states,” Phys. Lett. A, Vol. 377, no. 3–4, pp. 185–8, Jan. 2013.
   Web of Science ®Google Scholar
• C. Zhang, X. Han, and Q. Bi, “Dynamical behaviors of the periodic parameter-switching system,” Nonlinear Dyn., Vol. 73, no. 1, pp. 29–37, Jul. 2013.
   Web of Science ®Google Scholar
• U. Galvanetto, and L. Magri, “On the use of the theory of dynamical systems for transient problems,” Nonlinear Dyn., Vol. 74, no. 1, pp. 373–80, Oct. 2013.
   Web of Science ®Google Scholar