A nonlinear geometric approach to power system excitation control and stabilization

Abstract In this paper, a unified approach to the design of a nonlinear excitation controller/power system stabilizer for a synchronous generator/infinite bus power system is presented. The approach is based on a form of state feedback linearization, known as input–output feedback linearization, which provides an exact semi-global state transformation that is valid for a large class of operating points of the power system. With this transformation, the terminal voltage becomes a linear function of the control input. The excitation controller/power system stabilizer is then synthesized by using linear controller design techniques. The controller is proven to provide small signal stability and to provide local asymptotic tracking of admissible constant reference signals for a large class of operating points. A procedure is given to tune the controller gains to provide significant damping of the power angle oscillations.

[1]  G. S. Hope,et al.  Excitation Control of Synchronous Generators Using Adaptive Regulators, Part I: Theory and Simulation Results , 1984, IEEE Power Engineering Review.

[2]  K. T. Law,et al.  Robust co-ordinated AVR-PSS design , 1994 .

[3]  Sahjendra N. Singh A modified algorithm for invertibility in nonlinear systems , 1981 .

[4]  M. P. Houry,et al.  A desensitized controller for voltage regulation of power systems , 1995 .

[5]  Hideaki Sakai,et al.  A regulator design method using multi-layered neural networks , 1990, 1990 IJCNN International Joint Conference on Neural Networks.

[6]  V. H. Quintana,et al.  Neural Network Regulators for Synchronous Machines , 1993 .

[7]  Marija D. Ilic,et al.  Feedback linearizing excitation control on a full-scale power system model , 1994 .

[8]  Youyi Wang,et al.  A new nonlinear voltage controller for power systems , 1997 .

[9]  Tongwen Chen,et al.  A technique for optimal digital redesign of analog controllers , 1996, IEEE Trans. Control. Syst. Technol..

[10]  Chao-Rong Chen,et al.  Tuning of power system stabilizers using an artificial neural network , 1991 .

[11]  R. Marino An example of a nonlinear regulator , 1984 .

[12]  Wladyslaw Mielczarski,et al.  Nonlinear field voltage control of a synchronous generator using feedback linearization , 1994, Autom..

[13]  Daniel E. Miller,et al.  Excitation Control of the Synchronous Generator by Means of Input-Output Feedback Linearization , 1995 .

[14]  Yao-nan Yu,et al.  Dynamic Interaction of Multi-Machine Power System and Excitation Control , 1974 .

[15]  A. J. Morris,et al.  The Dynamic Interaction of Closely-Coupled Synchronous Generators , 1971 .

[16]  Marija D. Ilic,et al.  Effects of torsional dynamics on nonlinear generator control , 1996, IEEE Trans. Control. Syst. Technol..

[17]  Youyi Wang,et al.  Robust decentralized nonlinear controller design for multimachine power systems , 1997, Autom..

[18]  F. P. de Mello,et al.  Practical Approaches to Supplementary Stabilizing from Accelerating Power , 1978, IEEE Transactions on Power Apparatus and Systems.

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

[20]  Fong Mak,et al.  Design of nonlinear generator exciters using differential geometric control theories , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[21]  E. Larsen,et al.  Applying Power System Stabilizers Part I: General Concepts , 1981, IEEE Transactions on Power Apparatus and Systems.

[22]  Lin Chen,et al.  A nonlinear control design for power systems , 1992, Autom..