Abstract
Real-time stability evaluation and preventive scheduling in power systems offer many challenges in a stressed power system. Trajectory Sensitivity Analysis (TSA) is a useful tool for this and other applications in the emerging smart grid area. In this chapter, we outline the basic approach of TSA, to extract suitable information from the data and develop reliable metrics or indices to evaluate proximity of the system to an unstable condition. Trajectory sensitivities can be used to compute critical parameters such as clearing time of circuit breakers, tie-line flow, etc. in a power system by developing suitable norms for ease of interpretation. The TSA technique has the advantage that model complexity is not a limitation, and the sensitivities can be computed numerically. Suitable metrics are developed from these sensitivities. The TSA technique can be extended to do preventive rescheduling. A brief discussion of other applications of TSA in placement of distributed generation is indicated.
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References
Abur A, Exposito AG (2004) Power system state estimation: theory and implementation. CRC , Boca Raton
Ahmad M (2012) Power system state estimation. Artech House, London
Alsac O, Stott B (1974) Optimal load flow with steady state security. IEEE Trans Power App Syst 93:745–754 (PAS)
Athay T, Podmore R, Virmani S (1979) A practical method for direct analysis of transient stability. IEEE Trans Power App Syst 98(2):573–584 (PAS)
Chaniotis D, Pai MA, Hiskens IA (2001) Sensitivity analysis of differential-algebraic systems using the GMRES method-application to power systems. In: Proceeding of the IEEE International Symposium on Circuit System, Sydney, 6–9 May 2001
Dobraca F, Pai MA, Sauer PW (1990) Relay margins as a tool for dynamical security analysis. Intl Electr Power Energy Syst 12(4):226–234
Donnelly MK, Dagle JE, Trudnowski DJ, Rogers GJ (1996) Impacts of the distributed utility on transmission system stability. IEEE Trans Power Syst 11(2):741–746
Eslami M (1994) Theory of sensitivity in dynamic systems. Springer, New York
Fouad AA (1988) Dynamic security assessment practices in North America. IEEE Trans Power Syst 3(3):1310–1321
Fouad AA, Vittal V (1991) Power system transient stability analysis using the transient energy function method. Prentice Hall, Englewood Cliffs
Frank PM (1978) Introduction to system sensitivity theory. Academic, New York
Gan D, Thomas RJ, Zimmerman RD (2000) Stability-constrained optimal power flow. IEEE Trans Power Syst 15(2):535–540
Hingorani NG, Gyu Gyi L (2000) Understanding facts concepts and technology of flexible ac transmission systems. IEEE Press, New York
Hiskens IA, Pai MA (2000) Trajectory sensitivity analysis of hybrid systems. IEEE Trans Circuits Syst I Fundam Theory Appl 47(2):204–220
Hiskens IA, Pai MA, Nguyen TB (1999) Dynamic contingency analysis studies for inter-area transfers. In: Proceedings of the 13th power systems computation conference, Trondheim, Norway
Kimbark EW (1950) Power System Stability. Power circuit breakers and protective relays, vol II. Wiley, New York, p 160
Kokotovic PV, Rutman RS (1973) Sensitivity of automatic control systems (survey). In: Cruz JB Jr (ed) System sensitivity analysis. Dowden, Hutchingson and Ross, Stroudsburg, pp 359–381
Kumar ABR, Amelink H, Pang CK, Pai MA, Sauer PW (1987) Dynamic security assessment for power systems: research plan. EPRI report EL-4958, Aug 1987
La Scala M, Trovato M, Antonelli C (1998) Online dynamic preventive control: an algorithm for transient security dispatch. IEEE Trans Power Syst 13(2):601–610
Laufenberg MJ, Pai MA (1998) A new approach to dynamic security assessment using trajectory sensitivities. IEEE Trans Power Syst 13(3):953–958
Laughton MA (1964) Sensitivity in dynamical system analysis. J Electron Control 17(5):577–791
Monticelli A (2000) Electric power system state estimation. Proceeding of the IEEE 88(2):262–282
Monticelli A (2007) State estimation in electric power systems: a generalized approach. Springer, New York
Nguyen TB, Pai MA (2003) Dynamic security-constrained rescheduling of power systems using trajectory sensitivities. IEEE Trans Power Syst 18(2):848–854
Nguyen TB, Pai MA, Hiskens IA (2002) Sensitivity approaches for direct computation of critical parameters in a power system. Intl J Electr Power Energy Syst 24(5):337–343
Padiyar KR, Krishna S (2001) On-line detection of loss of synchronism using locally measurable quantities. In: Proceedings of IEEE Transmission and Distribution Conference, Atlanta
Pai MA (1981) Power systems stability. North Holland Publishing Co., New York
Pai MA (1989) Energy Function Analysis for Power Systems. Kluwer Academic, Boston
Pavella M, Murthy PG (1994) Transient stability of power systems: theory and practice. Wiley, New York
Pavella M, Ernst D, Ruiz-Vega D (2000) Transient stability of power systems: a unified approach to assessment and control. Kluwer Academic, Norwell
Ruiz-Vega D, Pavella M (2003) A comprehensive approach to transient stability control: part I-Near optimal preventive control. IEEE Trans Power Syst 18(4):1446–1453
Sauer PW, Pai MA (1998) Power system dynamics and stability. Prentice-Hall, Upper Saddle River
Shubhanga KN, Kulkarni AM (2004) Stability-constrained generation rescheduling using energy margin sensitivities. IEEE Trans Power Syst 19(3):1402–1413
Singh C, Hiskens IA (2001) Direct assessment of protection operation and non-viable transients. IEEE Trans Power Syst 16(3):427–434
Soman SA, Nguyen TB, Pai MA, Vaidyanathan R (2004) Analysis of angle stability problems: a transmission protection systems perspective. IEEE Trans Power Del 19(3):1024–1033
Thorp JS, Phadke AG (1999) Protecting power systems in the post-restructuring era. IEEE Comput Appl Power 12(1):33–37
Tomovic R (1963) Sensitivity analysis of dynamic systems. McGraw-Hill, New York
Tomovic R, Vukobratovic M (1972) General sensitivity theory. Elsevier, New York
Vaidyanathan R, Soman SA (2002) Distance relay coordination considering power swings. In: Proceedings of the international conference on power systems and communication systems infrastructure for the future, Beijing, China
Vittal V, Sauer PW, Meliopoulos S, Stefopoulos GK (2005) Online transient stability assessment scoping study-final project report. Power Systems Engineering Research Center, PSERC Publication 05-04
Yuan Y, Kubokawa J, Sasaki H (2003) A solution of optimal power flow with multicontingency transient stability constraints. IEEE Trans Power Syst 18(3):1094–1102
Zima M, Andersson G (2003) Stability assessment and emergency control method using trajectory sensitivities. In: Proceedings of the IEEE PowerTech Conference, Bologna, Italy
Zimmerman R, Gan D (2005) MATPOWER: a MATLAB power system simulation software package. http://www.pserc.cornell.edu/matpower. Accessed 25 May 2005
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Nguyen, T., Pai, M. (2014). Trajectory Sensitivity Analysis for Dynamic Security Assessment and Other Applications in Power Systems. In: Savulescu, S. (eds) Real-Time Stability in Power Systems. Power Electronics and Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-06680-6_11
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DOI: https://doi.org/10.1007/978-3-319-06680-6_11
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