Transient rotor angle stability assessment and oscillatory rotor angle stability assessment subsequent to a contingency are integral components of dynamic security assessment (DSA) in power systems. This study proposes a hybrid algorithm to determine whether the post-fault power system is secure due to both transient rotor angle stability and oscillatory rotor angle stability subsequent to a set of known contingencies. The hybrid algorithm first uses a new security measure developed based on the concept of Lyapunov exponents (LEs) to determine the transient security of the post-fault power system. Later, the transient secure power swing curves are analysed using an improved Prony algorithm which extracts the dominant oscillatory modes and estimates their damping ratios. The damping ratio is a security measure about the oscillatory security of the post-fault power system subsequent to the contingency. The suitability of the proposed hybrid algorithm for DSA in power systems is illustrated using different contingencies of a 16-generator 68-bus test system and a 50-generator 470-bus test system. The accuracy of the stability conclusions and the acceptable computational burden indicate that the proposed hybrid algorithm is suitable for real-time security assessment with respect to both transient rotor angle stability and oscillatory rotor angle stability under multiple contingencies of the power system.

References

1. 1)
  - 2. Kundur, P., Paserba, J., Ajjarapu, V., et al: ‘Definition and classification of power system stability’, IEEE Trans. Power Syst., 2004, 19, (2), pp. 1387–1401.
2. 2)
  - 3. Fink, L.H., Carisen, K.: ‘Operating under stress and strain’. IEEE Spectrum, March 1978, pp. 48–53.
3. 3)
  - 24. Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A.: ‘Determining Lyapunov exponents from a time series’, Phys. 16D, 1985, 16, (3), pp. 285–317.
4. 4)
  - 10. Chiang, H.-D.: ‘Direct methods for stability analysis of power systems: theoretical foundation, BCU methodologies and applications’ (John Wiley, 2010).
5. 5)
  - 20. Kamwa, I., Grondin, R., Dickinson, J., Fortin, S.: ‘A minimal realization approach to reduced-order modeling and modal analysis for power system response signals’, IEEE Trans. Power Syst., 1993, 8, (3), pp. 1020–1029 (doi: 10.1109/59.260898).
6. 6)
  - 16. Geeganage, J., Annakkage, U.D., Archer, B.A., Weekes, T.: ‘Application of energy based power system features for dynamic security assessment’, IEEE Trans. Power Syst., 2015, 30, (4), pp. 1957–1965 (doi: 10.1109/TPWRS.2014.2353048).
7. 7)
  - 25. Sauer, P.W., Pai, M.A.: ‘Power system dynamics and stability’ (Prentice-Hall, 1997).
8. 8)
  - 6. Kundur, P.: ‘Power system stability and control’ (McGraw-Hill, 1994).
9. 9)
  - 23. Ostojic, D.J.R.: ‘Spectral monitoring of power system dynamic performances’, IEEE Trans. Power Syst., 1993, 8, (2), pp. 445–450 (doi: 10.1109/59.260841).
10. 10)
  - 17. Power Tec. Lab, BC, Canada: ‘Small Signal Analysis Tool (SSAT) User manual’, 2009.
11. 11)
  - 7. Power Tec Lab, BC, Canada: ‘Transient Stability Assessment Tool (TSAT) User Manual’, 2009.
12. 12)
  - 19. Crow, M.L., Singh, A.: ‘The matrix pencil for power system modal extraction’, IEEE Trans. Power Syst., 2005, 20, (1), pp. 47–55 (doi: 10.1109/TPWRS.2004.841158).
13. 13)
  - 2. Kundur, P., Paserba, J., Ajjarapu, V., et al: ‘Definition and classification of power system stability’, IEEE Trans. Power Syst., 2004, 19, (2), pp. 1387–1401.
14. 14)
  - 4. DyLiacco, T.E.: ‘The adaptive reliability control system’, IEEE Trans. Power Appl. Syst., 1978, PAS-86, (5), pp. 517–531 (doi: 10.1109/TPAS.1967.291728).
15. 15)
  - 1. ‘Definition of adequate level of reliability’, http://www.nerc.com/docs/pc/Definition-of-ALR-approved-at-Dec-07-OC-PC-mtgs.pdf, accessed September 2014.
16. 16)
  - 14. Xu, Y., Dong, Z.Y., Zhao, J.H., Zhang, P., Wong, K.P.: ‘A reliable intelligent system for real-time dynamic security assessment of power systems’, IEEE Trans. Power Syst., 2012, 27, (3), pp. 1253–1263 (doi: 10.1109/TPWRS.2012.2183899).
17. 17)
  - 5. Thambirajah, J., Barocio, E., Thornhill, N.F.: ‘Comparative review of methods for stability monitoring in electrical power systems and vibrating structures’, IET Gener. Transm. Distrib., 2010, 4, (10), pp. 1086–1103 (doi: 10.1049/iet-gtd.2009.0485).
18. 18)
  - 3. Fink, L.H., Carisen, K.: ‘Operating under stress and strain’. IEEE Spectrum, March 1978, pp. 48–53.
19. 19)
  - 27. Chaudhuri, B., Pal, B.: ‘Robust control in power systems’ (Springer, 2005).
20. 20)
  - 12. Amjady, N., Banihashemi, S.A.: ‘Transient stability prediction of power systems by a new synchronism status index and hybrid classifier’, IET Trans. Gener. Transm. Distrib., 2010, 4, (4), pp. 509–518 (doi: 10.1049/iet-gtd.2009.0255).
21. 21)
  - 11. Kamwa, I., Samantaray, S.R., Joos, G.: ‘Development of rule-based classifiers for rapid stability assessment of wide-area post-disturbance records’, IEEE Trans. Power Syst., 2009, 1, (24), pp. 258–270 (doi: 10.1109/TPWRS.2008.2009430).
22. 22)
  - 9. Pavella, M., Ernst, D., Ruiz-Vega, D.: ‘Transient stability of power systems: a unified approach to assessment and control’ (Kluwer, 2000).
23. 23)
  - 18. Hauer, J.F., Demeure, C.J., Scharf, L.L.: ‘Initial results in Prony analysis of power system response signals’, IEEE Trans. Power Syst., 1990, 5, (1), pp. 80–89 (doi: 10.1109/59.49090).
24. 24)
  - 22. Poon, K.P., Lee, K.C.: ‘Analysis of transient stability swings in large interconnected power systems by Fourier transforms’, IEEE Trans. Power Syst., 1988, 3, (4), pp. 1573–1580 (doi: 10.1109/59.192967).
25. 25)
  - 15. Gomez, F.R., Rajapakse, A.D., Annakkage, U.D., Fernando, I.T.: ‘Support vector machine-based algorithm for post-fault transient stability status prediction using synchronized measurements’, IEEE Trans. Power Syst., 2011, 26, (3), pp. 1474–1483 (doi: 10.1109/TPWRS.2010.2082575).
26. 26)
  - 5. Daggle, J.E.: ‘Postmortem analysis of power grid blackouts-the role of measurement systems’, IEEE Power Energy Mag., 2006, 4, (5), pp. 30–35 (doi: 10.1109/MPAE.2006.1687815).
27. 27)
  - 28. Jayasekara, K.Y.B.D.S.: ‘Determination of transient stability boundary in functional form with applications in optimal power flow and security control’. PhD thesis, University of Manitoba, 2006.
28. 28)
  - 8. Khalil, K.H.: ‘Nonlinear systems’ (Prentice-Hall, 1994, 2nd edn.).
29. 29)
  - 13. Gao, Q., Rovnyak, S.M.: ‘Decision trees using synchronized phasor measurements for wide-area response-based control’, IEEE Trans. Power Syst., 2011, 26, (2), pp. 855–861 (doi: 10.1109/TPWRS.2010.2067229).
30. 30)
  - 26. Balu, N., Bertram, T., Bose, A.: ‘On-line power system security analysis’, IEEE Proc., 1992, 80, (2), pp. 262–279 (doi: 10.1109/5.123296).

Hybrid algorithm for rotor angle security assessment in power systems

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