Closed Form Solution of Synchronous Machine Short Circuit Transients

Gibson H.M. Sianipar

Abstract


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.


Full Text:

PDF

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.




DOI: http://dx.doi.org/10.5614%2Fitbj.eng.sci.2010.42.1.7

Refbacks

  • There are currently no refbacks.