Closed Form Solution of Synchronous Machine Short Circuit Transients
DOI:
https://doi.org/10.5614/itbj.eng.sci.2010.42.1.7Abstract
This paper presents the closed form solution of the synchronous machine transients undergoing short circuit. That analytic formulation has been derived based on linearity and balanced conditions of the fault. Even though restrictive, the proposed method will serve somehow or other as a new resource for EMTP productivity. Indisputably superior, the closed-form formulation has some features inimitable by discretization such as continuity, accuracy and absolute numerical stability. Moreover, it enables us to calculate states at one specific instant independent of previous states or a snapshot, which any discretization methods cannot do.
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References
Electro-Magnetic Transients Program (EMTP) Theory Book, EMTP 1987.
Dommel, H.W., Digital computer solution of electromagnetic transients in a single and multiphase networks, IEEE Trans. Power App. Syst., PAS-88(4), pp. 388-399, Apr. 1969.
Dommel, H. W., Nonlinear and Time-varying Elements, IEEE Trans. Pwr. App. Syst., PAS-90(6), pp. 2561-2567, Nov./Dec. 1971.
Cui, Yu., Dommel, Herman W. & Xu, Wilsun., A Comparative Study of Two Synchronous Machine Modeling Techniques for EMTP Simulation, IEEE Trans. On Energy Conversion, 19(2), pp. 462-463, June 2004.
Brandwajn, V., Representation of Magnetic Saturation in the Synchronous Machine Model in an Electro-Magnetic Transients Program, IEEE Trans. Power App. Sys., PAS-99(5) Sept/Oct 1980.
Chan, K.H., Acha, E., Madrigal, M. & Parle, J.A., The use of direct timephase domain synchronous generator model in standard EMTP-type industrial packages, IEEE Power Eng. Rev., pp. 63-85, June 2001.
Marti, J.R. & Louie, K.W. A phase-domain synchronous generator model including saturation effects, IEEE Trans. Power Sys. , 12, pp. 222-229, Feb. 1997.
Cao, X., Kurita, A., Mitsuma, H., Tada, Y. & Okamoto, H.,Improvements of Numerical Stability of Electromagnetic Transient Simulation by Use of Phase-Domain Synchronous Machine Models, Elec. Eng, in Japan, 128(3), pp. 53-62, 1999.
Wang, Liwei & Jatskevich, Juri, A Voltage-Behind-Reactance Synchronous Machine Model for the EMTP-Type Solution, IEEE Trans. Pow. Syst., 21(4), pp. 1539-1549, Nov. 2006.
Wang, Liwei., Jatskevich, Juri & Dommel, Herman W., Re-examination of Synchronous Machine Modeling Techniques for Electromagnetic Transient Simulations, IEEE Trans. Pow. Syst.,22(3), pp. 1221-1230, Aug. 2007.
Marti, J.R. & Linares, L.R., Real-Time EMTP-Based Transients Simulation, IEEE Trans. Pow. Sys., 9(3), pp. 1309-1317, Aug. 1994.
Sianipar, Gibson H.M. Superposition-Based Fault Analysis-The Exact Maximum Asymmetric Current, ASEAN Symposium on Power and Energy Systems (ASPES), Hua Hin, Thailand, Sept. 2009.
Kundur, P., Power System Stability and Control. New York: McGrawHill, 1994.
Chua, Leon O., Desoer, Charles A. & Kuh, Ernst S., Linear and Nonlinear Circuits, McGraw-Hill, 1987.
Padiyar, K.R., Power System Dynamics. Stability and Control. Singapore, John Wiley & Sons, 1996.