Research on a Small Signal Stability Region Boundary Model of the Interconnected Power System with Large-Scale Wind Power

For the interconnected power system with large-scale wind power, the problem of the small signal stability has become the bottleneck of restricting the sending-out of wind power as well as the security and stability of the whole power system. Around this issue, this paper establishes a small signal stability region boundary model of the interconnected power system with large-scale wind power based on catastrophe theory, providing a new method for analyzing the small signal stability. Firstly, we analyzed the typical characteristics and the mathematic model of the interconnected power system with wind power and pointed out that conventional methods can’t directly identify the topological properties of small signal stability region boundaries. For this problem, adopting catastrophe theory, we established a small signal stability region boundary model of the interconnected power system with large-scale wind power in two-dimensional power injection space and extended it to multiple dimensions to obtain the boundary model in multidimensional power injection space. Thirdly, we analyzed qualitatively the topological property’s changes of the small signal stability region boundary caused by large-scale wind power integration. Finally, we built simulation models by DIgSILENT/PowerFactory software and the final simulation results verified the correctness and effectiveness of the proposed model.

[1]  YU Yi-xin.  Hyper-Plane Approximation of Boundary of Small Signal Stability Region and Its Application , 2008 .

[2]  Poul Ejnar Sørensen,et al.  Dynamic wind turbine models in power system simulation tool DIgSILENT , 2000 .

[3]  A. M. Mihirig,et al.  Transient stability analysis of multimachine power systems by catastrophe theory , 1989 .

[4]  G. A. Mahmoud.  Voltage stability analysis of radial distribution networks using catastrophe theory , 2012 .

[5]  Ding Kun,et al.  System Power Regulation Scheme for Jiuquan Wind Power Base , 2010 .

[6]  Z. P. Song,et al.  A Review on Dynamic Equivalent Methods for Large Scale Wind Farms , 2011, 2011 Asia-Pacific Power and Energy Engineering Conference.

[7]  Gao Shipeng.  Power System Small Signal Stability Region with Saturation Element Considered , 2010 .

[8]  J. G. Slootweg,et al.  The impact of large scale wind power generation on power system oscillations , 2003 .

[9]  Consolación Gil,et al.  Wind turbine selection for wind farm layout using multi-objective evolutionary algorithms , 2014, Expert Syst. Appl..

[10]  N. Mithulananthan,et al.  Linear performance indices to predict oscillatory stability problems in power systems , 2004, IEEE Transactions on Power Systems.

[11]  J. L. Dineley,et al.  Catastrophe Theory as a Tool for Determining Synchronous Power System Dynamic Stability , 1983, IEEE Transactions on Power Apparatus and Systems.

[12]  Q. Hernández-Escobedo,et al.  Wind energy resource in Northern Mexico , 2014 .

[13]  Eleni I. Vlahogianni,et al.  Modeling Microscopic Freeway Traffic Using Cusp Catastrophe Theory , 2014, IEEE Intelligent Transportation Systems Magazine.

[14]  Shanyong Wang,et al.  A Cusp Catastrophe Model of Instability of Slip-buckling Slope , 2001 .

[15]  M. Deakin.  Catastrophe theory. , 1977, Science.

[16]  A. M. Mihirig,et al.  Catastrophe theory applied to transient stability assessment of power systems , 1986 .

[17]  R. Seydel.  Practical Bifurcation and Stability Analysis , 1994 .

[18]  Pulgar Painemal,et al.  Wind farm model for power system stability analysis , 2010 .

[19]  Ian A. Hiskens,et al.  Analysis tools for power systems-contending with nonlinearities , 1995, Proc. IEEE.

[20]  Yan Xu,et al.  Review on wind power development and relevant policies in China during the 11th Five-Year-Plan period , 2012 .

[21]  H. Schättler,et al.  Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability] , 1995, Proc. IEEE.

[22]  Dezhi Chen,et al.  Research on transient stability under HVDC block fault in wind-thermal-bundled power base transmitted by AC/DC system , 2014, 2014 International Conference on Power System Technology.

[23]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

[24]  Carl J. Walters,et al.  Catastrophe Theory and Fisheries Regulation , 1976 .

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

[26]  M. Berry.  An introduction to Catastrophe Theory , 1981 .

[27]  P. Varaiya,et al.  Nonlinear oscillations in power systems , 1984 .

[28]  R. Fischl,et al.  Local bifurcation in power systems: theory, computation, and application , 1995, Proc. IEEE.

[29]  S. Sadjadi,et al.  Optimization methods applied to renewable and sustainable energy: A review , 2017 .

[30]  R. Ash,et al.  Numerical computation of root loci using the Newton-Raphson technique , 1968 .

[31]  Feng Liu,et al.  Polynomial approximation of the small‐signal stability region boundaries and its credible region in high‐dimensional parameter space , 2013 .

[32]  Dirk Roose,et al.  A Direct Method for the Computation of Hopf Bifurcation Points , 1985 .

[33]  Xiaodan Yu,et al.  Power system small signal stability region with time delay , 2008 .

[34]  Robert Gilmore,et al.  Catastrophe Theory for Scientists and Engineers , 1981 .

[35]  V. Vittal,et al.  Impact of Increased Penetration of DFIG-Based Wind Turbine Generators on Transient and Small Signal Stability of Power Systems , 2010, IEEE Transactions on Power Systems.

[36]  Yu Xiaodan,et al.  Impact of the exciter voltage limit to small signal stability region of a three-bus power system , 2011 .

[37]  J.A.P. Lopes,et al.  Impact of large scale wind power integration on small signal stability , 2005, 2005 International Conference on Future Power Systems.