Investigations on strong resonance in multimachine power systems with STATCOM supplementary modulation controller

The phenomenon of strong resonance that is noticed in systems with mode coupling is characterized by coincidence both of eigenvalues and eigenvectors. It is necessary to consider the effect of strong resonance on the coupled modes while designing a damping controller for a system. The work presented in this paper aims at investigating the behavior of two oscillatory modes in the neighborhood of strong resonance in power systems in the presence of a STATCOM damping controller. The modes that interact near the point of strong resonance are identified. The concept of multi-modal decomposition is applied to isolate the swing mode (SM) of interest. The relevant exciter mode (EM) is identified from the knowledge of participation factors. The method of perturbations suggested by Seiranyan to study the interaction of the eigenvalues near the point of strong resonance is modified suitably to make it applicable to systems with feedback controller. The illustrative examples include three- and four-machine systems.

[1]  K. R. Padiyar,et al.  Analysis of Subsynchronous Resonance in Power Systems , 1998 .

[2]  E. Barocio,et al.  Perturbations of weakly resonant power system electromechanical modes , 2005, IEEE Transactions on Power Systems.

[3]  K. R. Padiyar,et al.  An Integrated Analysis of Voltage and Angle Stability of a Three Node Power System , 2002 .

[4]  K. R. Padiyar,et al.  Tuning and performance evaluation of damping controller for a STATCOM , 2003 .

[5]  Harry G. Kwatny,et al.  Frequency domain analysis of Hopf bifurcations in electric power networks , 1990 .

[6]  Alexander P. Seyranian,et al.  Sensitivity Analysis of Multiple Eigenvalues , 1993 .

[7]  Peter W. Sauer,et al.  Is strong modal resonance a precursor to power system oscillations , 2001 .

[8]  G. J. Rogers,et al.  A fundamental study of inter-area oscillations in power systems , 1991 .

[9]  I. Dobson Strong Resonance Effects in Normal Form Analysis and Subsynchronous Resonance , 2001 .

[10]  Charles Concordia,et al.  Concepts of Synchronous Machine Stability as Affected by Excitation Control , 1969 .

[11]  Harry G. Kwatny,et al.  Energy analysis of load-induced flutter instability in classical models of electric power networks , 1989 .

[12]  H V Saikumar Investigations On Small Signal Stability Of Power Systems Affected By FACTS Supplementary Modulation Controllers , 2004 .

[13]  Joe H. Chow,et al.  Concepts for design of FACTS controllers to damp power swings , 1995 .

[14]  B. M. Nomikos,et al.  Modal interaction and PSS design , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[15]  A. P. Seiranyan,et al.  Collision of eigenvalues in linear oscillatory systems , 1994 .

[16]  K. R. Padiyar,et al.  Analysis of strong resonance in power systems with STATCOM supplementary modulation controller , 2003, TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region.