Method of Identifying Weak Transmission Network Stability Boundaries

IEEE Transactions on Power Systems

Volumn 8, Issue 1, 1993, Pages 293-301

  Lie, T ^a   Schlueter, R A ^a   Rusche, P A ^b   Rhoades, R ^b  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b Consumers Power Company ^*  (United States)

Author keywords

steady state stability transient stability strong controllability strong observability; weak transmission boundaries voltage collapse

Indexed keywords

CONTROLLABILITY; ELECTRIC LOAD FLOW; ELECTRIC POWER SYSTEMS; OBSERVABILITY; SYSTEM STABILITY;

INERTIAL LOAD FLOW; STABILITY BOUNDARIES; WEAK TRANSMISSION BOUNDARIES;

ELECTRIC POWER TRANSMISSION;

EID: 0027541229     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.221228     Document Type: Article

References (48)

1. J. Dorsey and R.A. Schlueter, “Structural archetypes for coherency: a unified approach to dynamic equivalents,” Automatica, Vol. 20, No. 3, pp. 350–354.
2. J. Dorsey and R.A. Schlueter, “Local and global dynamic equivalents based on structural archetypes for coherency,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-102, June, 1983, pp. 1793–1801.
3. M. Lotfalian, R.A. Schlueter, P. Rusche, B. Rhodes, L. Shu and A. Yazdankhah, “A stability assessment methodology,” IEEE Transactions on Power Systems, PWRS-1, No. 4, May, 1987, pp. 84–92.
4. R.A. Schlueter, et. al., “Advanced power system security concepts: Volume 2, security/stability assessment methodologies,” Report to Electric Power Research Institute (EPRI), Contract RP-1999-1.
5. Hisham A. Othman, “Decoupled stability analysis of power systems with slow and fast dynamics,” Ph.D. thesis, University of Illinois at Urbana-Champaign, December 1987.
6. Arthur K. Bergen and David J. Hill, “A structure preserving model for power system stability analysis,” IEEE Transaction on Power Apparatus and Systems, Vol. PAS-100, No. 1, January 1981, pp. 25–35.
7. Chandrashekhar, K.S. and Hill, D.J. (1983), Dynamic security dispatch: Basic formulation, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-102, No. 7, pp. 2145–2154.
8. R.A. Schlueter, P. Rastgoufard, “Application of critical machine energy function in power system transient stability analysis,” Journal of Electric Machines and Power Systems, Vol. 17, No. 5, pp. 343–362, May 1989.
9. Schlueter, R.A., “A local potential energy boundary surface method for power system stability assessment,” Proceeding of the 24th Conference on Decision and Control, Ft. Lauderdale, Florida, December 1985.
10. Sigari, G., “Lyapunov stability based network conditions for characterizing retention and loss of power system transient stability,” Ph.D. thesis, Michigan State University, July 1985.
11. J. Lawler and R.A. Schlueter, “Computational algorithms for constructing modal-coherent dynamic equivalents,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-101, May 1982, pp. 1070–1080.
12. G. Troullinos, J.F. Dorsey, H. Wang, J. Myers and S. Goodwin, “Estimating order reduction for dynamic equivalents,” IEEE Transactions on Power Apparatus and Systems, Vol. 104, No. 12, pp. 3475–3481.
13. K.S. Chandrashekhar and D.J. Hill, “A cutset stability criterion for power systems using a structure preserving model,” Int'l J. of Electrical Power and Energy Systems, Vol. 8, No. 3, July 1986, pp. 146–157.
14. M. Lotfalian, R.A. Schlueter, D. Idzior, P. Rusche, S. Tedeschi, L. Shu and A. Yazdankhah, “Inertial, governor, and AGC/economic dispatch load flow simulations of loss of generation contingencies,” IEEE Transactions on Power Systems, PWRS-1, No. 1, February, 1986, pp. 137–142.
15. R.A. Schlueter, et. al., “Voltage stability and security assessment,” Report to EPRI, Contract RP-1999-8, February, 1987.
16. M.A. Pai, H. Othman, P.W. Sauer, J.H. Chow and J.R. Winkelman, “Application of integral manifold theory in large scale power system stability analysis,” Proceedings of the 26th IEEE Conference on Decision and Control, Los Angeles, 1987, pp. 41–45.
17. P. Kundur, “Voltage instability analysis and control methods,” Voltage Instability Panel Session, IEEE 1987 Winter Meeting, New York.
18. B. Avramovic, P.V. Kokotovic, J.R. Winkelman and J.H. Chow, “Area decomposition for electromethanical models of power systems,” Automatica, Vol. 16, pp. 637–648, 1986.
19. R.A. Schlueter, M.W. Chang, I. Hu, J.C. Lo and A.G. Costi, “Methods for determining proximity to voltage collapse,” IEEE Trans. on Power Systems, Vol. 6, No. 2, pp. 285–292, Feb. 1991.
20. R.A. Schlueter, T.Y. Guo, T. Lie, F. Li and J. Ashley, “Voltage collapse security assessment on the B.C. Hydro system,” Final Report PSL-BC 1, Michigan State University Division of Engineering Research, March 1991.
21. I.A. Hiskens and D.J. Hill, “Energy functions, transient stability and voltage behavior in power systems with nonlinear loads,” IEEE Trans. on Power Systems, Vol. PWRS-4, No. 4, pp. 1525–1533, November 1989.
22. H.D. Chiang, I. Dobson, R.J. Thomas, J.S. Thorp and L. Fekih-Ahmed, “On voltage collapse in electric power systems,” IEEE Trans. on Power Systems, Vol. 5, No. 2, May 1990, pp. 601–611.
23. M. Wicks and R. DeCarlo, “Computing the distance to an uncontrollable system,” Proceeding of the 28th Conference on Decision and Control, Tampa, FL, Dec. 1989.
24. C.C. Paige, “Properties of numerical algorithms related to computing controllability,” IEEE Trans. on Automatic Control, Vol. AC-26, No. 1, Feb. 1981.
25. T. Lie, “Strong local controllability and observability of power systems,” Ph.D. Dissertation to be submitted, Michigan State University, 1991.
26. K. Waive, “Modeling of power system components at severe disturbances,” CIGRE Paper 38–18, International Conference on Large High Voltage Electric Systems, 1986.
27. J. Zaborszky, K.W. Wang, G. Huang, L.J. Chiang, and S.Y. Lin, “A clustered dynamic model for a class of linear autonomous systems using simple enumerative sorting,” IEEE Trans. on Circuits and Systems, Vol. 29, NO. 11, November 1982, pp. 747–758.
28. J. Zaborszky, K-W. Whang, G. M. Huang, L-J. Chiang and S.-Y. Lin, “A clustered dynamic model for a class of linear autonomous systems using simple enumerative sorting,” IEEE Transactions on Circuits and Systems, vol. CAS-29, No. 11, November 1982, pp. 747–757.
29. J. Zaborszky, K-W. Whang, G. M. Huang, L-J. Chiang, and S-Y. Lin, “A clustered dynamic model for a class of linear autonomous systems using simple enumerative sorting,” IEEE Transactions on Circuits and Systems, Vol. CAS-29, No. 11, November 1982, pp. 747-757.
30. M. E. Sezer and D. D. Siljak, “Nested e - decompositions and clustering of complex systems,” Automatica, Vol. 22, No. 3, 1986, pp. 321-331.
31. Tjing T. Lie and Robert A. Schlueter, “Strong controllability and observability and it's affects on stability of an unaggregated transient stability model,” Submitted to IEEE Transactions on Power Systems, January 1992.
32. Tjing T. Lie, “Strong local controllability and observability of power systems,” Ph.D. Dissertation, Michigan State University, 1991.
33. Hisham A. Othman, “Decoupled stability analysis of power systems with slow and fast dynamics,” Ph.D. Dissertation University of Illinois at Urbana-Champaign, December 1987.
34. M. A. Pai, H. A. Othman, P. W. Sauer, J. H. Chow, and J. R. Winkelman, “Application of integral manifold theory in large scale power system stability analysis,” Proceedings of the 26th IEEE Conference on Decision and Control, Los Angeles, 1987, pp. 41-45.
35. R. A. Schlueter, T. Y. Guo, T. Lie, F. Li, and J. Ashley, “Voltage collapse security assessment on the B.C. Hydro system,” Final Report PSL-BC 1, Michigan State University, Division of Engineering Research, March 1991.
36. G. Troullinos, J. F. Dorsey, H. Wang, J. Myers, and S. Goodwin, “Estimating order reduction for dynamic equivalents,” IEEE Transactions on Power Apparatus and Systems, Vol. 104, No. 12, pp. 3475 - 3481.
37. J. F. Dorsey and R. A. Schlueter, “Local and global dynamic equivalents based on structural archetypes for coherency,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-102, June 1983, pp. 1793-1801.
38. F. F. Wu and Y. K. Tsai, “Identification of groups of coherent generators,” IEEE Transactions on Circuits and Systems, CAS-30, No. 4, pp. 234-241.
39. F. F. Wu and N. Narasimhamurhi, “Coherency identification for power system dynamic equivalents,” IEEE Transactions on Circuits and Systems, CAS-30, No. 3, pp. 140-147.
40. B. Avramovic, P. V. Kokotovic, J. R. Winkelman, and J. H. Chow, “Area decomposition for electromechanical models of power systems,” Automatica, Vol. 16, 1986, pp. 637-648.
41. R. A. Schlueter, et al., “Modal coherent equivalents derived from an RMS coherency measure,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-99, No. 4, July/August 1980, pp. 4151-1425.
42. M. Jamshidi, Large-Scale Systems: Modeling and Control, 1983 Elseveir Science Publishing Co., Inc., New York.
43. R. A. Schlueter and P. A. Rusche, “Dynamic equivalents in rapid analysis of transient stability methods,” IEEE Publication TH0169-3/87/0000-0030, pp. 30-36.
44. R. A. Schlueter et al., “Advanced power system security concepts: Volume 2, security/stability assessment methodologies,” Report to EPRI, Contract RP-1999-1.
45. M. Lotfalian, R. A. Schlueter, P. Rusche, B. Rhodes, L. Shu, and A. Yazdankhah, “A stability assessment methodology,” IEEE Transactions on Power Systems, PWRS-1, No. 4, May 1987, pp. 84-92.
46. B. C. Moore, “Principal component analysis in linear systems: controllability, observability, and model reduction,” IEEE Trans. on Automatic Control, Vol. AC-26, No. 1, Feb. 1981.
47. C. C. Paige, “Properties of numerical algorithms related to computing controllability,” IEEE Trans. on Automatic Control, Vol. AC-26, No. 1, Feb. 1981.
48. M. Wicks and R. DeCarlo, “Computing the distance to an uncontrollable system,” Proceeding of the 28th Conference on Decision and Control, Tampa, FL, December 1989.