1College of Electronic Engineering, Guangxi Normal University, Guilin 541004 2College of Electric Power, South China University of Technology, Guangzhou 510640
Noise-Induced Voltage Collapse in Power Systems
WEI Du-Qu1**, LUO Xiao-Shu1, ZHANG Bo2
1College of Electronic Engineering, Guangxi Normal University, Guilin 541004 2College of Electric Power, South China University of Technology, Guangzhou 510640
摘要We investigate numerically the influences of Gaussian white noise on the dynamical behaviors of power systems. The studied model is a three-bus system at some specific parameters, and it demonstrates a stable regime that is far from collapse. It is found that with the increasing noise intensity σ, power systems become unstable and fall into oscillations; as σ is further increased, noise-induced voltage collapse in power systems takes place. Our results confirm that the presence of noise has a detrimental effect on power system operation. Furthermore, the possible mechanism behind the action of noise is addressed based on a dynamical approach where the bifurcation of the system is analyzed. Our results may provide useful information for avoiding instability problems in power systems.
Abstract：We investigate numerically the influences of Gaussian white noise on the dynamical behaviors of power systems. The studied model is a three-bus system at some specific parameters, and it demonstrates a stable regime that is far from collapse. It is found that with the increasing noise intensity σ, power systems become unstable and fall into oscillations; as σ is further increased, noise-induced voltage collapse in power systems takes place. Our results confirm that the presence of noise has a detrimental effect on power system operation. Furthermore, the possible mechanism behind the action of noise is addressed based on a dynamical approach where the bifurcation of the system is analyzed. Our results may provide useful information for avoiding instability problems in power systems.
WEI Du-Qu1**, LUO Xiao-Shu1, ZHANG Bo2. Noise-Induced Voltage Collapse in Power Systems[J]. 中国物理快报, 2012, 29(3): 30501-030501.
WEI Du-Qu, LUO Xiao-Shu, ZHANG Bo. Noise-Induced Voltage Collapse in Power Systems. Chin. Phys. Lett., 2012, 29(3): 30501-030501.
[1] Guo F, Zhou Y R and Zhang Y 2010 Chin. Phys. Lett. 27 090506
[2] Yang Z L, Gao Y, Gao Y T and Zhang J 2009 Chin. Phys. Lett. 26 060506
[3] Ma J, Yang L J, Wu Y and Zhang C R 2010 Commun. Theor. Phys. 54 583
[4] Hasegawa H 2008 Physica D 237 137
[5] Mallick K and Marcq P 2003 Eur. Phys. J. B 36 119
[6] Billings L, Schwartz I B, Morgan D S, Bollt E M, Meucci R and Allaria E 2004 Phys. Rev. E 70 026220
[7] Mankin R, Laas T, Sauga A and Ainsaar A 2006 Phys. Rev. E 74 021101
[8] Xu B, Lai Y C, Zhu L and Do Y 2003 Phys. Rev. Lett. 90 164101
[9] Tel T, Lai Y C and Gruiz M 2008 Int. J. Bifur. Chaos Appl. Sci. Eng. 18 509
[10] Patnaik P R 2005 Chaos, Solitons & Fractals 26 759
[11] Yu Y N 1983 Electric Power System Dynamics (New York: Academic)
[12] Carreras B A, Lynch V E, Dobson I and Newman D E 2002 Chaos 12 985
[13] Kinney R, Crucitti P, Albert R and Latora V 2005 Eur. Phys. J. B 46 101
[14] Kundur P 1993 Power System Stability and Control (New York: McGraw, Hill)
[15] Ji W and Venkatasubramanian V 1999 IEEE Tran. Cir. Syst. I 46 405
[16] Filatrella G, Nielsen A H and Pedersen N F 2008 Eur. Phys. J. B 61 485
[17] Kwatny H G and Bahar L Y 1986 IEEE Trans. Circ. Syst. 33 981
[18] Chiang H D, Dobson I, Thomas R J, Thorp J S and Fekih Ahmed L 1990 IEEE Trans. Power Syst. 5 601
[19] Ohta H and Ueda Y 2002 Chaos, Solitons & Fractals 14 1227
[20] Dobson I, Chiang H D, Thorp J S and Fekih Ahmed L 1988 IEEE Proc. 27th Conference on Control and Decision (Austin, TX, December 1998)
[21] Wang H O, Abed E H and Hamdan A M A 1994 IEEE Trans. Circ. Syst. I 41 294
[22] Wei D, Luo X and Qin Y 2011 Nonlinear Dyn. 63 323
[23] Chen G R, Moiola J L and Wang H O 2000 J. Bifur. Chaos Appl. Sci. Eng. 10 511
[24] Liu Y, Yan Z, Ni Y and Wu F F 2004 Electric Power Systems Research 70 163
2012, Vol. 29 
