Power system robust stability analysis using structured singular value theory and model reduction method

Robust stability analysis of power systems using structured singular value theory is studied in this paper. A method to reduce the order of the open loop uncertain model for power systems is also proposed. Two cases studies are performed and they show that the reduced order uncertain model keeps the most important modes of the system. The system behaviour with respect to parameter variations is also preserved.

[1]  Ieee Standards Board.  IEEE recommended practice for excitation system models for power system stability studies , 1992 .

[2]  Vijay Vittal,et al.  Analysis of control performance for stability robustness of power systems , 1994 .

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

[4]  G.J. Rogers,et al.  H/sub /spl infin damping controller design in large power systems , 1995 .

[5]  G. J. Rogers,et al.  H∞ damping controller design in large power systems. Discussion. Author's reply , 1995 .

[6]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[7]  Vijay Vittal,et al.  Application of the structured singular value theory for robust stability and control analysis in multimachine power systems. I. Framework development , 1998 .

[8]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[9]  Vijay Vittal,et al.  Robust design of a damping controller for static VAr compensators in power systems , 2001, 2001 Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.01CH37262).

[10]  Chuanjiang Zhu.  Robustness analysis for power systems based on the structured singular value tools and the (nu) gap metric , 2001 .

[11]  Declan G. Bates,et al.  Improved Clearance of a Flight Control Law Using mu-Analysis Techniques , 2003 .

[12]  B. Pal,et al.  Robust Control in Power Systems , 2005 .

[13]  V. Vittal,et al.  Small-disturbance angle stability enhancement through direct load control part I-framework development , 2006, IEEE Transactions on Power Systems.

[14]  Simon Hecker.  Improved mu-Analysis Results by Using Low-Order Uncertainty Modeling Techniques , 2008 .