Identification of electromechanical modes and placement of PSSs using relative gain array

The paper investigates the possibility to use relative gain array (RGA) for power system small-disturbance stability analysis. The RGA has been successfully used in the past as steady state measure of interactions for multivariable, decentralized control in chemical and process engineering. The effectiveness of the RGA in identifying electromechanical modes and selecting the optimal location for placement of PSSs is compared with the conventional approach that uses transfer function residues, eigenvalues and participation factors. Two different multimachine power systems are used for the case studies. Limitations and advantages of the use of RGA in this purpose are clearly indicated in the paper.

[1]  Sigurd Skogestad,et al.  The use of RGA and condition number as robustness measures , 1996 .

[2]  F. Greg Shinskey.  Distillation control: For productivity and energy conservation , 1977 .

[3]  P. Kundur,et al.  Power system stability and control , 1994 .

[4]  K. R. Padiyar,et al.  Power system dynamics : stability and control , 1996 .

[5]  Kjetil Uhlen,et al.  Robust control and analysis of a wind-diesel hybrid power plant , 1994 .

[6]  Sigurd Skogestad,et al.  Simple frequency-dependent tools for control system analysis, structure selection and design , 1992, Autom..

[7]  W. Luyben,et al.  Robustness with respect to integral controllability , 1987 .

[8]  M. Morari,et al.  Implications of large RGA elements on control performance , 1987 .

[9]  F. L. Pagola,et al.  On Sensitivities, Residues and Participations. Applications to Oscillatory Stability Analysis and Control , 1989, IEEE Power Engineering Review.

[10]  E. Bristol.  On a new measure of interaction for multivariable process control , 1966 .

[11]  D. R. Ostojic,et al.  Stabilization of multimodal electromechanical oscillations by coordinated application of power system stabilizers , 1991 .

[12]  G. Verghese,et al.  Selective Modal Analysis With Applications to Electric Power Systems, Part II: The Dynamic Stability Problem , 1982, IEEE Transactions on Power Apparatus and Systems.

[13]  J.V. Milanovic,et al.  The use of relative gain array for optimal placement of PSSs , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

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

[15]  Zhong-xiang Zhu.  Variable Pairing Selection Based on Individual and Overall Interaction Measures , 1996 .

[16]  F. L. Pagola,et al.  On sensitivities, residues and participations , 1989 .

[17]  G. Andersson,et al.  Application of modal analysis of zeros to power systems control and stability , 1998 .