Analysis Tools for Power Systems—Contending with Nonlinearities

Proceedings of the IEEE

Volumn 83, Issue 11, 1995, Pages 1573-1587

  Hiskens, Ian A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE DISTURBANCE SIMULATION PROGRAMS; POWER FLOW PROGRAMS; SMALL DISTURBAND STABILITY ANALYSIS;

COMPUTER SIMULATION; COMPUTER SOFTWARE; CONTROL NONLINEARITIES; MATHEMATICAL MODELS; SYSTEM STABILITY; SYSTEMS ANALYSIS;

ELECTRIC POWER SYSTEMS;

EID: 0029408431     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/5.481635     Document Type: Article

References (100)

1. E. H. Abed and P. P. Varaiya, “Nonlinear oscillations in power systems,” Int. J. Elect. Power and Energy Syst., vol. 6, no. 1, pp. 37-43, Jan. 1984.
2. V. Ajjarapu and C. Christy, “The continuation power flow: A tool for steady-state voltage stability analysis,” IEEE Trans. Power Syst., vol. 7, pp. 416-423, Feb. 1992.
3. V. Ajjarapu and B. Lee, “Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system,” IEEE Trans. Power Syst., vol. 7, pp. 424-431, Feb. 1992.
4. F. L. Alvarado and T. H. Jung, “Direct detection of voltage collapse conditions,” in Proc. Bulk Power System Voltage Phenomena, EPRI Rep. No. EL-6183, Potosi, MO, Jan. 1989.
5. P. M. Anderson and A. A. Fouad, Power System Control and Stability. New York: IEEE Press, 1994.
6. S. Amborg, “Undervoltage load shedding in power systems,” Rep. No. TRITA-EES-9403, Royal Inst. Tech., Stockholm, Sweden, 1994.
7. A. R. Bergen, Power Systems Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1986.
8. J. L. Blackburn, Protective Relaying. New York: Dekker, 1987.
9. I. M. Canay, “Causes of discrepancies of calculation of rotor quantities and exact equivalent diagrams of the synchronous machines,” IEEE Trans. Power Apparatus and Syst., vol. PAS-88, pp. 1114-1119, July 1969.
10. C. A. Cañizares and F. L. Alvarado, “Point-of-collapse and continuation methods for large AC/DC systems,” IEEE Trans. Power Syst., vol. 8, pp. 1-8, Feb. 1993.
11. H.-D. Chiang et al., “CPFLOW: A practical tool for tracing power system steady state stationary behavior due to load and generation variations,” IEEE Trans. Power Syst., vol. 10, May 1995.
12. H.-D. Chiang, “The BCU method for direct stability analysis of electric power systems: Theory and applications,” in Systems and Control Theory for Power Systems, J. Chow, P. V. Kokotovic, and R. J. Thomas, Eds. New York: Springer-Verlag, 1995.
13. H.-D. Chiang, C.-C. Chu, and J. Cauley, “Direct stability analysis of electric power systems using energy functions: Theory applications and perspectives,” Proc. IEEE, this issue, pp. 1497-1529.
14. R. H. Craven et al., “Validation of dynamic modelling methods against power system response to small and large disturbances,” in Proc. CIGRÉ General Session, Paris, Aug. 1994.
15. R. J. Davy and I. A. Hiskens, “Lyapunov functions for multi-machine power systems with dynamic loads,” Tech. Rep. No. EE9472, Dept. Electrical and Computer Eng., Univ. Newcastle, May 1995.
16. C. L. DeMarco and G. C. Verghese, “Bringing phasor dynamics into the power system load flow,” in Proc. N. Amer. Power Symp., 1993.
17. F. P. de Mello and C. Concordia, “Concepts of synchronous machine stability as affected by excitation control,” IEEE Trans. Power Apparatus and Syst., vol. 88, pp. 189-202, Aug. 1969.
18. F. P. de Mello, “Boiler models for system dynamic performance studies,” IEEE Trans. Power Syst., vol. 6, pp. 66-74, Feb. 1991.
19. I. Dobson and L. Lu, “New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse,” IEEE Trans. Power Syst., vol. 8, pp. 905-913, Aug. 1993.
20. I. Dobson, “Computing a closest bifurcation instability in multidimensional parameter space,” J. Nonlinear Sci., vol. 3, pp. 307-327, 1993.
21. E. Doedel, X. Wang, and T. Fairgrieve, “AUTO94. Software for continuation and bifurcation problems in ordinary differential equations,” Applied Mathematics Rep., Calif. Inst. Tech., Pasadena, CA, Sept. 1994.
22. J. Douglas, Ed., “The future of transmission—Switching to silicon,” EPRI J., pp. 5-13, June 1989.
23. H. R. Fankhauser et al., “SIMPOW—A digital power system Simulator,” ABB Rev., July 1990.
24. W. Fleming, Functions of Several Variables. New York: Springer-Verlag, 1977.
25. A. A. Fouad and V. Vittal, Power System Transient Stability Analysis Using the Transient Energy Function Method. Englewood Cliffs, NJ: Prentice Hall, 1992.
26. A. C. Franklin and D. P. Franklin, The J and P Transformer Book, 11th ed. London: Butterworths, 1983.
27. R. J. Frowd, J. C. Giri, and R. Podmore, “Transient stability and long-term dynamics unified,” IEEE Trans. Power Apparatus and Syst., vol. PAS-101, pp. 3841-3849, Oct. 1982.
28. C. B. Garcia and W. I. Zangwill, Pathways to Solutions, Fixed Points and Equilibria. Englewood Cliffs, NJ: Prentice-Hall, 1981.
29. J. F. Gronquist et al., “Power oscillation damping control strategies for FACTS devices using locally measurable quantities,” in IEEE/PES Winter Meet., Paper No. 95 WM 185-9 PWRS, New York, Jan. 1995; to be published in IEEE Trans. Power Systems.
30. J. Hale and H. Koçak, Dynamics and Bifurcations. New York: Springer-Verlag, 1991.
31. J. F. Hauer, “BPA experience in the measurement of power system dynamics,” in IEEE/PES 1991 Winter Meet. Symp. on Interarea Oscillations, New York, Feb. 1991.
32. D. J. Hill, “Nonlinear dynamic load models with recovery for voltage stability studies,” IEEE Trans. Power Syst., vol. 8, pp. 166-176, Feb. 1993.
33. D. J. Hill, I. A. Hiskens, and Y. Wang, “Robust, adaptive or nonlinear control for modern power systems,” in Proc. 32nd Conf. on Decision and Contr., San Antonio, TX, Dec. 1993.
34. D. J. Hill, I. A. Hiskens, and I. M. Y. Mareels, “Stability theory of differential/algebraic models of power systems,” in Proc. Eng. Sci. of the Indian Acad. Sciences, special issue on “Nonlinear dynamics: Applications in power systems,” vol. 18, part 5, pp. 731-747, Sept. 1993.
35. D. J. Hill, I. A. Hiskens, and D. Popović, “Load recovery in voltage stability analysis and control,” in Proc. NSF/ECC Workshop on Bulk Power System Voltage Phenomena III, Davos, Switzerland, Aug. 1994.
36. D. J. Hill and I. A. Hiskens, “Dynamic analysis of voltage collapse in power systems,” in Systems and Control Theory for Power Systems, J. Chow, P. V. Kokotovic, and R. J. Thomas, Eds. New York: Springer-Verlag, 1995.
37. I. A. Hiskens and D. J. Hill, “Energy functions, transient stability and voltage behavior in power systems with nonlinear loads,” IEEE Trans. Power Syst., vol. 4, pp. 1525-1533, Nov. 1989.
38. I. A. Hiskens and D. J. Hill, “Failure modes of a collapsing power system,” in Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena II, Deep Creek Lake, MD, Aug. 1991.
39. I. A. Hiskens and D. J. Hill, “Incorporation of SVCs into energy function methods,” IEEE Trans. Power Syst., vol. 7, pp. 133-140, Feb. 1992.
40. I. A. Hiskens and D. J. Hill, “Dynamic interaction between tapping transformers,” in Proc. 11th Power Syst. Computation Conf., Avignon, France, Aug. 1993.
41. I. A. Hiskens and D. J. Hill, “Modelling of dynamic load behavior,” Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena III, Davos, Switzerland, Aug. 1994.
42. I. A. Hiskens and J. V. Milanović, “Load modelling in studies of power system damping,” IEEE/PES Winter Meeting, Paper No. 95 WM 111-5 PWRS, New York, Jan. 1995 (to be published in IEEE Trans. Power Syst.).
43. I. A. Hiskens and R. J. Davy, “A technique for exploring the power flow solution space boundary,” in Proc. Stockholm Power Tech, Stockholm, June 1995.
44. IEEE Task Force Rep., “Load representation for dynamic performance analysis,” IEEE Trans. Power Syst., vol. 8, pp. 472-482, Apr. 1993.
45. IEEE Task Force Rep., “Bibliography on load models for power flow and dynamic performance simulation,” IEEE Trans. Power Syst., vol. 10, pp. 523-538, Feb. 1995.
46. S. Iwamoto and Y. Tamura, “A load flow calculation method for ill-conditioned power systems,” IEEE Trans. Power Apparatus and Syst., vol. PAS-100, pp. 1736-1743, Apr. 1981.
47. S. G. Jalali, R. A. Hedin, M. Pereira, and K. Sadek, “A stability model for the advanced series compensator (ASC),” in IEEE/PES 1995 Summer Meet., Paper No. 95 SM 404-4 PWRD, Portland, OR, July 1995 (to be published in IEEE Trans. Power Deliv.).
48. J. Jarjis and F. D. Galiana, “Quantitative analysis of steady state stability in power systems,” IEEE Trans. Power Apparatus and Syst., vol. PAS-100, pp. 318-326, Jan. 1981.
49. T. H. Jung, K. J. Kim, and F. L. Alvarado, “A marginal analysis of the voltage stability with load variations,” in Proc. 10th Power Syst. Computation Conf., Graz, Austria, Aug. 1990, pp. 1196-1201.
50. J. G. Kassakian, M. F. Schlecht, and G. Verghese, Principles of Power Electronics. Reading, MA: Addison-Wesley, 1991.
51. H. K. Khalil, Nonlinear Systems. New York: Macmillan, 1992.
52. P. V. Kokotovic, H. K. Khalil, and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986.
53. B. R. Korte, A. Manglick, and J. W. Howarth, “Interconnection damping performance tests on the South-east Australian power grid,” Colloq. CIGRE Study Comm. 38, Paper No. 3.7, Florianópolis, Brazil, Sept. 1993.
54. P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
55. H. G. Kwatny, R. F. Fischl, and C. Nwankpa, “Local bifurcation in power systems: Theory, computation and application,” Proc. IEEE, this issue, pp. 1456-1483.
56. A. Llamas et al., “Clarifications of the BCU method for transient stability analysis,” IEEE Trans. Power Syst., vol. 10, pp. 210-219, Feb. 1995.
57. Y. V. Makarov and I. A. Hiskens, “Solution characteristics of the quadratic power flow problem,” Tech. Rep. No. EE9377, Dept. Electrical and Computer Engineering, Univ. Newcastle, Dec. 1993.
58. Y. V. Makarov and I. A. Hiskens, “A continuation method approach to finding the closest saddle node bifurcation point,” in Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena III, Davos, Switzerland, Aug. 1994.
59. Y. V. Makarov, V. A. Maslennikov, and D. J. Hill, “Calculation of oscillatory stability margins in the space of power system controlled parameters,” in Proc. Stockholm Power Tech., Stockholm, 1995.
60. N. Martins and L. T. G. Lima, “Eigenvalue and frequency domain analysis of small-signal electromechanical stability problems,” in [88].
61. J. V. Milanovic and I. A. Hiskens, “Oscillatory interaction between synchronous generator and local voltage-dependent load,” to be published in IEE Proc. Part C.
62. N. Mohan, T. M. Undeland, and W. P. Robbins, Power Electronics: Converters, Applications and Design. New York: Wiley, 1989.
63. T. J. Overbye and R. P. Klump, “Effective calculation of power system low-voltage solutions,” IEEE/PES Winter Meet., Paper No. 95 WM 139-6 PWRS, New York, Jan. 1995 (to be published inIEEE Trans. Power Syst.).
64. K. R. Padiyar, HVDC Power Transmission Systems. New Delhi: Wiley Eastern, 1990.
65. M. A. Pai, Energy Function Analysis for Power System Stability. Boston: Kluwer, 1989.
66. M. A. Pai, P. W. Sauer, and B. C. Lesieutre, “Static and dynamic nonlinear loads and structural stability in power systems,” Proc. IEEE, this issue, pp. 1562-1572.
67. H.-O. Peitgen, Ed., Newton's Method and Dynamical Systems. Dordrecht: Kluwer, 1989.
68. L. G. Perez, A. J. Flechsig, and V. Venkatasubramanian, “Modeling the protective system for power system dynamic analysis,” IEEE Trans. Power Syst., vol. 9, pp. 1963-1973, Nov. 1994.
69. I. J. Pérez-Arriaga, G. C. Verghese, and F. C. Schweppe, “Selective model analysis with applications to electric power systems, Part 1: Heuristic introduction,” IEEE Trans. Power Apparatus and Syst., vol. PAS-101, pp. 3117-3125, Sept. 1982.
70. A. G. Phadke and J. S. Thorp, Computer Relaying for Power Systems. New York: Wiley, 1988.
71. D. Popović, I. A. Hiskens, and D. J. Hill, “Investigations of load—Tap changer interaction,” to be published in Int. J. Electrical Power and Energy Systems.
72. D. Popović, I. A. Hiskens, and D. J. Hill, “Oscillatory behavior of power supply systems with tap-changers and a dynamic load,” Tech. Rep. No. EE9539, Dept. Elect. and Computer Engineering, Univ. Newcastle, July 1995.
73. H. R. Pota and P. J. Moylan, “A new Lyapunov function for interconnected power systems,” IEEE Trans. Automatic Contr., vol. 37, pp. 1192-1195, Aug. 1992.
74. K. L. Praprost and K. A. Loparo, “An energy function method for determining voltage collapse during a power system transient,” IEEE Trans. Circ. and Syst. I: Fundamental Theory and Applic., vol. 41, pp. 635-651, Oct. 1994.
75. G. B. Price, “A generalized circle diagram approach for global analysis of transmission system performance,” IEEE Trans. Power Apparatus and Syst., vol. PAS-103, pp. 2881-2890, Oct. 1984.
76. R. Rajaraman, I. Dobson, and S. Jalali, “Nonlinear dynamics and switching time bifurcations of a thyristor controlled reactor,” in Proc. IEEE 1993 Int. Symp. on Circ. and Syst., Chicago, May 1993.
77. R. Rajaraman and I. Dobson, “Damping and incremental energy in thyristor switching circuits,” in Proc. IEEE 1995 Int. Symp. on Circ. and Syst., Seattle, Apr. 1995.
78. P. W. Sauer and M. A. Pai, “A comparison of discrete versus continuous dynamic models of tap-changing-under-load transformers,” in Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena III, Davos, Switzerland, Aug. 1994.
79. P. W. Sauer and B. C. Lesieutre, “Power system load modeling,” in Systems and Control Theory for Power Systems, J. Chow, P. V. Kokotovic, and R. J. Thomas, Eds. New York: Springer-Verlag, 1995.
80. R. Seydel, Practical Bifurcation and Stability Analysis. From Equilibrium to Chaos, 2nd ed. New York: Springer-Verlag, 1994.
81. G. Shackshaft and P. B. Henser, “Model of generator saturation of use in power system studies,” IEE Proc., vol. 126, no. 8, pp. 759-763, Aug. 1979.
82. L. F. Shampine, Numerical Solution of Ordinary Differential Equations. New York: Chapman and Hall, 1994.
83. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice Hall, 1991.
84. B. Stott and O. Alsac, “Fast decoupled load flow,” IEEE Trans. Power Apparatus and Syst., vol. PAS-93, pp. 859-869, 1974.
85. M. Stubbe et al., “STAG—A new unified software program for the study of the dynamic behavior of electrical power systems,” IEEE Trans. Power Syst., vol. 4, pp. 129-138, Feb. 1989.
86. Y. Tamura, K. Iba, and S. Iwamoto, “A method for finding multiple load-flow solutions for general power systems,” IEEE/PES Winter Meet., Paper No. A80 043-0, New York, Feb. 1980.
87. C. J. Távora, and O. J. M. Smith, “Equilibrium analysis of power systems,” IEEE Trans. Power Apparatus and Syst., vol. PAS-91, pp. 1131-1137, May/June 1972.
88. C. W. Taylor and R. G. Farmer, Eds., Eigenanalysis and Frequency Domain Methods for System Dynamic Performance, IEEE Pub. No. 90TH0292-3-PWR, 1989.
89. C. W. Taylor, Ed., Modelling of Voltage Collapse Including Dynamic Phenomena, CIGRÉ Task Force 38-02-10 Rep., Dec. 1992.
90. C. W. Taylor, Ed., Criteria and Countermeasures for Voltage Collapse, CIGRÉ Task Force 38-02-12 Rep., May 1995.
91. J. S. Thorp and Naqavi, “Load flow fractals,” in Proc. 28th Conf. on Decision and Contr., Tampa, FL, Dec. 1989, pp. 1822-1827.
92. T. Van Cutsem et al., “A comprehensive analysis of mid-term voltage stability,” IEEE/PES Summer Meet., Paper No. 94 SM 511-6 PWRS, San Francisco, July 1994 (to appear IEEE Trans. Power Syst.).
93. J. Van Hecke, Ed., Indices Predicting Voltage Collapse Including Dynamic Phenomena, CIGRÉ Task Force 38-02-11 Rep., Dec. 1994.
94. V. Venkatasubramanian, H. Schättler, and J. Zaborszky, “A taxonomy of the dynamics of the large power system with emphasis on its voltage stability,” in Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena II, Deep Creek Lake, MD, Aug. 1991.
95. V. Venkatasubramanian, H. Schättler, and J. Zaborszky, “Voltage dynamics: Study of a generator with voltage control, transmission, and matched MW load,” IEEE Trans. Automat. Contr., vol. 37, pp. 1717-1733, Nov. 1992.
96. V. Venkatasubramanian et al., “Current status of the taxonomy theory of large power system dynamics—DAE systems with hard limits,” in Proc. NSF/ECC Workshop on Bulk Power Syst. Voltage Phenomena III, Davos, Switzerland, Aug. 1994.
97. V. Venkatasubramanian, H. Schattler, and J. Zaborszky, “A taxonomy of the dynamics of large constrained nonlinear systems,” Proc. IEEE, this issue, pp. 1530-1561.
98. C. D. Vournas and T. Van Cutsem, “Voltage oscillations with cascaded load restoration,” in Proc. Stockholm Power Tech., Stockholm, June 1995.
99. K. T. Vu et al., “Voltage instability: Mechanisms and control strategies,” Proc. IEEE, this issue, pp. 1442-1455.
100. J. Zaborszky, H. Schattler, and V. Venkatasubramanian, “Error estimation and limitation of the quasi stationary phasor dynamics,” in Proc. 11th Power Syst. Computation Conf., Avignon, France, Aug. 1993, pp. 721-729.