Applications of interval matrices in power system stabilizer design

International Journal of Electrical Power and Energy Systems

Volumn 19, Issue 3, 1997, Pages 179-184

  Pai, M A ^a   Vournas, C D ^a,c   Michel, A N ^b   Ye, H ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b University of Notre Dame   (United States)

^c NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Interval matrix theory; Power system stabilizer; Robust stability

Indexed keywords

EID: 0042263331     PISSN: 01420615     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0142-0615(96)00041-5     Document Type: Article

References (12)

1. Law, K. T., Hill, D. J. and Godfrey, N. R., Robust coordinated AVR-PSS design. Paper 93 SM 479-6 PWRS, IEEE Summer Power Meeting, Vancouver, Canada, 1993.
2. Law, K. T., Hill, D. J. and Godfrey, N. R., Robust controller structure for coordinated power system voltage regulator and stability design. IEEE Transactions on Control Systems Technology, 1994, 2(3), 220-232.
3. Vittal, V., Khammash, M. H. and Pawloski, C. D., System dynamic performance: robust stabilization of controls over a range of operating conditions. Proceedings in Engineering Sciences of Indian Academy of Science, 1993, 18(5), 729-890.
4. Barmish, B. R., A generalization of Kharitonov's four polynomial concept for robust stability problems with linearly dependent coefficients. IEEE Transactions on Automatic Control, 1989, 34(2), 157-163.
5. Pai, M. A., Ranjan, R. K. and Sauer, P. W., Robust stability in power systems with nonlinear loads using generalized Kharitonov's theorem. International Journal of Electric Energy and Power Systems, 1994, 16(5), 325-328.
6. DeMarco, C. L. and Coxson, G. E., Computational complexity results in parametric robust stability analysis with power systems applications. In Systems and Control Theory for Power Systems, ed. J. H. Chow, P. V. Kokotovic and R. J. Thomas, Springer-Verlag, New York, pp. 117-136.
7. Wang, K., Michel, A. N. and Liu, D., Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. IEEE Transactions on Automatic Control, 1994, 39(6), 1251-1255.
8. Ye, H., Michel, A. N. and Wang, K., Necessary and sufficient conditions for Hurwitz stability of interval matrices of arbitrary order with known algorithmic complexity for third order. Proceedings of the 31st Annual Allerton Conference on Communications, Control and Computing, Urbana, IL, 1993, pp. 1061-1070.
9. Kundur, P., Power System Stability and Control, EPRI-McGraw Hill, New York, 1994.
10. deMello, F. P. and Concordia, C., Concepts of synchronous machine stability as affected by excitation control. IEEE Transactions, 1969, PAS-88, 189-202.
11. Ranjan, R. K., Pai, M. A. and Sauer, P. W., Analytical formulation of small signal stability analysis of power systems and nonlinear load models. Proceedings in Engineering Sciences of Indian Academy of Science, 1993, 18(5), 869-889 and 1995, 20(6), 971.
12. Ranjan, R. K., Pai, M. A. and Sauer, P. W., Analytical formulation of small signal stability analysis of power systems and nonlinear load models. Proceedings in Engineering Sciences of Indian Academy of Science, 1993, 18(5), 869-889 and 1995, 20(6), 971.