A coherency-based method to increase dynamic security in power systems

Abstract Dynamic security analysis is the evaluation of the ability of a system to withstand contingencies by surviving transient conditions to acceptable steady-state operative states. When potential instability due to contingency is detected, preventive action may be desired to improve the system security. This is very important in the on-line operation of a power system, especially when the system is stability-limited. The method proposed in this paper is based on the idea that increasing coherency between generators in the transient behaviour following a system perturbation gives rise to a more stable system. In this paper, we suggest the use of the “input–output feedback-linearization” with a reference trajectory obtained using a system dynamic equivalent based on the centre of inertia. To quantify coherency levels a new coherency indicator has been assumed for the given reference trajectory. The result is an increasing level in coherency, critical clearing time and system stability. The method is tested on the IEEE 30 bus test system.

[1]  Tae Woong Yoon,et al.  Proceedings of the 43rd IEEE Conference on Decision and Control , 2004 .

[2]  T. N. Lucas,et al.  Least-squares moment matching reduction methods , 1995 .

[3]  H. Happ Power system control and stability , 1979, Proceedings of the IEEE.

[4]  Dragoslav D. Šiljak,et al.  Coherency recognition using epsilon decomposition , 1998 .

[5]  M. Jonsson,et al.  A new method suitable for real-time generator coherency determination , 2004, IEEE Transactions on Power Systems.

[6]  A. Isidori Nonlinear Control Systems , 1985 .

[7]  Yeung Yam,et al.  Reduction of fuzzy rule base via singular value decomposition , 1999, IEEE Trans. Fuzzy Syst..

[8]  Anjan Bose,et al.  Contingency ranking based on severity indices in dynamic security analysis , 1999 .

[9]  A. Kurita,et al.  Multivariable control design for damping interarea oscillations of bulk power systems using a modal reduction technique , 1995 .

[10]  Anjan Bose,et al.  A generation rescheduling method to increase the dynamic security of power systems , 1995 .

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  M. L. Ourari,et al.  Coherency Approach for Dynamic Equivalents of Large Power Systems , 2003 .

[13]  Robin Podmore,et al.  Identification of Coherent Generators for Dynamic Equivalents , 1978, IEEE Transactions on Power Apparatus and Systems.

[14]  Anjan Bose,et al.  A coherency based rescheduling method for dynamic security , 1997 .

[15]  George Troullinos,et al.  Coherency and Model Reduction: A State Space Point of View , 1989, IEEE Power Engineering Review.

[16]  Annamária R. Várkonyi-Kóczy,et al.  TP transformation based dynamic system modeling for nonlinear control , 2005, IEEE Transactions on Instrumentation and Measurement.

[17]  T. N. Lucas Some further observations on the differentiation method of modal reduction , 1992 .

[18]  Enrique S. Quintana-Ortí,et al.  Computing optimal Hankel norm approximations of large-scale systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).