A reduced-order method for estimating the stability region of power systems with saturated controls

Science in China, Series E: Technological Sciences

Volumn 50, Issue 5, 2007, Pages 585-605

  Gan, DeQiang ^a   Xin, HuanHai ^a   Qiu, JiaJu ^a   Han, ZhenXiang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Linear matrix inequality; Power system stabilizer; Reduced order method; Saturation nonlinearity; Singular perturbation method

Indexed keywords

LINEAR MATRIX INEQUALITIES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; POWER CONTROL; SYSTEM STABILITY; TRANSIENTS;

POWER SYSTEM STABILIZERS; REDUCED-ORDER METHOD; SATURATION NONLINEARITY; SINGULAR PERTURBATION METHOD;

ELECTRIC POWER SYSTEMS;

EID: 35148861279     PISSN: 10069321     EISSN: 1862281X     Source Type: Journal    
DOI: 10.1007/s11431-007-0073-6     Document Type: Article

References (26)

1. Hu T, Lin Z, Chen B M. An analysis and design method for linear systems subject to acturator saturtion and disturbance. Automatica, 2002, 38(2): 351-359
2. Hindi H, Boyd S. Analysis of linear systems with saturation using convex optimization. In: Proceedings of the 37th IEEE Conference on Decision & Control. New York: Piscataway NJ, 1998. 903-908
3. Cao Y, Lin Z, Ward D G. An anti-windup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Trans Autom Contr, 2002, 47(1): 140-145
4. Crow M L, Ayyagari J. The effect of excitation limits on voltage stability. IEEE Trans Circ Syst-I, 1995, 42(12): 1022-1026
5. Ji W, Venkatasubramanianian V. Hard-limit induced chaos in a fundamental power system model. Intern J Electr Power Energy Syst, 1996, 18(5): 279-295
6. Escarela-Perez R, Niewierowicz T, Campero-Littlewood E. A study of the variation of synchronous machine parameters due to saturation: A numerical approach. Electr Power Syst Res, 2004, 72(1): 1-11
7. Xi Z, Feng G, Cheng D, et al. Nonlinear decentralized saturated controller design for power systems. IEEE Trans Contr Syst Tech, 2003, 11(4): 539-547
8. Gan D Q, Qu Z H, Cai H Z. Multi-machine system excitation control via theories of feedback linearization control and nonlinear robust control. Inter J Syst Sci, 2000, 31(4): 519-527
9. Yu Y X, Jia H J, Wang C S. Chaotic phenomena and small signal stability region of electrical power systems. Sci China Ser E-Tech Sci, 2001, 44(2): 187-199
10. Rajkumar V, Mohler R R. Nonlinear control methods for power systems: A comparison. IEEE Trans Contr Syst Tech, 1995, 3(2): 231-237
11. Lu Q, Sun Y Z, Mei S W. Nonlinear Control Approach and Implementation in Power System Dynamics. Boston: Kluwer Academic Publishers, 2001. 68-76
12. Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Boston: Birkhauser, 2001. 157-191
13. Dobson I, Lu L. Voltage collapse precipated by the immediate change in stability when generator reactive power limits are encountered. IEEE Trans Circ Syst-I, 1992, 39(9): 762-766
14. Gutman P O, Hangander P. A new design of constrained controllers for linear systems. IEEE Trans Autom Contr, 1985, 30(1): 22-33
15. Venkatasubramanian V. Stability boundary analysis of nonlinear dynamics subject to state limits. In: Proceedings of the 34th Hawaii International Conference on System Science. Los Alamitos: IEEE Computer Society, 2001. 1-6
16. Hu T S, Lin Z L. Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation. IEEE Trans Autom Contr, 2002, 47(1): 164-169
17. Xin H, Gan D, Chung T S, et al. A method for evaluating the performance of PSS with saturated input. Electr Power Syst Res, 2007, 77(10): 1284-1291
18. Tse C T, Wang K W, Chung C Y, et al. Robust PSS design by probabilistic eigenvalue sensitivity analysis. Electr Power Syst Res, 2001, 59(1): 47-54
19. Kokotovic P V, Khalil H K, O'Reilly J. Singular perturbation methods in control: Analysis and design. London: Academic Press, 1986. 47-68
20. Singh H, Brown R H, Naidu D S, et al. Robust stability of singularly perturbed state feedback systems using unified approach. IEE Proc Contr Theory Appl, 2001, 148(5): 391-396
21. Kundur P. Power system stability and control. New York: McGraw-Hill, 1994. 315-335
22. Liu Y Q, Yan Z, Ni Y X. Study on the order reduction of two-time scale power system dynamic models. I. Power system singular perturbation model. Autom Electr Power Syst (in Chinese), 2002, 26(18): 1-5
23. Hu T S, Lin T L. Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation. IEEE Trans Autom Contr, 2002, 47(1): 164-169
24. Ni Y X, Chen S S, Zhang B L. Theories and Analysis of Dynamic Power Systems (in Chinese). Beijing: Tsinghua University Press, 2002, 235-251
25. Khalil H K. Nonlinear Systems. 2nd ed. New Jersey: Prentice Hall, 1996. 78-81
26. Xin H H. An study on the impact of parameter uncertainties and saturation nonlinearities on power system stability. Doctoral Dissertation (in Chinese). Hangzhou: Zhejiang University, 2007. 97-123