The numerical Laplace transform: An accurate technique for analyzing electromagnetic transients on power system devices

International Journal of Electrical Power and Energy Systems

Volumn 31, Issue 2-3, 2009, Pages 116-123

  Gómez, Pablo ^a   Uribe, Felipe A ^b  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b UNIVERSITY OF GUADALAJARA   (Mexico)

Author keywords

Electromagnetic transients; Frequency domain analysis; Numerical Laplace transform; Power system components

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ELECTRIC NETWORK ANALYSIS; ELECTRIC POWER TRANSMISSION NETWORKS; ELECTROMAGNETISM; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; MAGNETIC MATERIALS; MATHEMATICAL TRANSFORMATIONS; POWER TRANSMISSION; TIME DOMAIN ANALYSIS; TRANSIENTS;

ANALYTICAL EQUATIONS; CURRENT PRACTICES; DATA TRUNCATIONS; DISCRETIZATION; ELECTROMAGNETIC TRANSIENTS; METHOD OF CHARACTERISTICS; NON-LINEAR CONDITIONS; NUMERICAL ERRORS; NUMERICAL LAPLACE TRANSFORM; POWER COMPONENTS; POWER SYSTEM COMPONENTS; POWER SYSTEMS; SIMULATION PROGRAMS; SUPERPOSITION PRINCIPLES; TIME-DOMAIN METHODS; TIME-DOMAIN SIMULATIONS;

FREQUENCY DOMAIN ANALYSIS;

EID: 59749102892     PISSN: 01420615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijepes.2008.10.006     Document Type: Article

References (32)

1. Dommel H.W. Electromagnetic transients program. Reference manual (EMTP theory book) (1986), Bonneville Power Administration, Portland USA
2. Budner A. Introduction of frequency dependent line parameters into an electromagnetic transients program. IEEE Trans Power Apparatus Syst PAS-89 (1970) 88-97
3. Snelson J.K. Propagation of travelling waves on transmission lines-frequency dependent parameters. IEEE Trans Power Apparatus Syst PAS-91 (1972) 85-91
4. Meyer W.S., and Dommel H.W. Numerical modeling of frequency-dependent transmission-line parameters in an electromagnetic transients program. IEEE Trans Power Apparatus Syst PAS-93 (1974) 1401-1409
5. Semlyen A., and Dabuleanu A. Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions. IEEE Trans Power Apparatus Syst PAS-94 (1975) 561-571
6. Marti{dotless}́ J.R. Accurate modelling of frequency-dependent transmission lines in electromagnetic transient simulations. IEEE Trans Power Apparatus Syst PAS-101 (1982) 147-157
7. Morched A., Gustavsen B., and Tartibi M. A universal model for accurate calculation of electromagnetic transients on overhead lines and underground cables. IEEE Trans Power Delivery 14 3 (1999) 1032-1037
8. Moreno P., Gómez P., Naredo J.L., and Guardado L. Frequency domain transient analysis of electrical networks including non-linear conditions. Int J Electrical Power Energy Syst 27 2 (2005) 139-146
9. Bellman R.E., Kalaba R.E., and Lockett J. Numerical inversion of Laplace transforms. IEEE Trans Automatic Control 12 5 (1967) 624-625
10. Day S.J., Mullineux N., and Reed J.R. Developments in obtaining transient response using Fourier transforms. Part I: gibbs phenomena and Fourier integrals. Int J Elect Eng Educ 3 (1965) 501-506
11. Day S.J., Mullineux N., and Reed J.R. Developments in obtaining transient response using Fourier transforms. Part II: use of the modified Fourier transform. Int J Elect Eng Educ 4 (1966) 31-40
12. Day S.J., Battisson M.J., Mullineux N., and Reed J.R. Developments in obtaining transient response using Fourier transforms. Part III: global response. Int J Elect Eng Educ 6 (1968) 259-265
13. Mullineux N., and Reed J.R. Developments in obtaining transient response using Fourier transforms: Part IV-survey of the theory. Int J Elect Eng Educ 10 (1973) 259-265
14. Wedepohl L.M., and Mohamed S.E.T. Multiconductor transmission lines. Theory of natural modes and Fourier integral applied to transient analysis. Proc IEE 116 9 (1969) 1553-1563
15. Ametani A. The application of the fast Fourier transform to electrical transient phenomena. Int J Elect Eng Educ 10 (1973) 277-287
16. Wilcox D.J. Numerical Laplace transformation and inversion. Int J Elect Eng Educ 15 (1978) 247-265
17. Nagaoka N., and Ametani A. A development of a generalized frequency domain transient program - FTP. IEEE Trans Power Delivery 3 4 (1988) 1996-2004
18. Moreno P., De la Rosa R., and Naredo J.L. Frequency domain computation on transmission line closing transients. IEEE Trans Power Delivery 6 1 (1991) 275-281
19. Mamis M.S., and Köksal M. Lightning surge analysis using nonuniform, single phase line model. IEE Proc Gener Transm Distrib 148 1 (2001) 85-90
20. Gómez P., Moreno P., and Naredo J.L. Frequency domain transient analysis of non-uniform lines with incident field excitation. IEEE Trans Power Delivery 20 3 (2005) 2273-2280
21. Uribe F.A., Naredo J.L., Moreno P., and Guardado L. Electromagnetic transients in underground transmission systems through the numerical Laplace transform. Int J Electrical Power and Energy Syst 24 3 (2002) 215-221
22. Saied M.M., and Al-Fuhaid A. Electromagnetic transients in a line-transformer cascade by a numerical Laplace transform technique. IEEE Trans Power Apparatus Syst PAS-104 10 (1985) 2901-2909
23. Guardado J.L., Carrillo V., and Cornick K.J. Calculation of interturn voltages in machine windings during switching transients measured on terminals. IEEE Trans Energy Convers 10 1 (1995) 87-94
24. Wedepohl LM. Power system transients: errors incurred in the numerical inversion of the Laplace transform. In: Proceeding of the 26th midwest symposium on circuits and systems, August 1983.
25. Wedepohl M., and Mohamed S.E.T. Transient analysis of multiconductor transmission lines with special reference to nonlinear problems. Proc IEE 117 5 (1970) 979-988
26. Guardado J.L., and Cornick K.J. Calculation of machine winding electrical parameters at high frequencies for switching transient studies. IEEE Trans Energy Convers 11 1 (1996) 33-40
27. Naredo J.L., Soudack A.C., and Marti J.R. Simulation of transients on transmission lines with corona via the method of characteristics. IEE Proc C, Gen Trans Dist 142 1 (1995) 81-87
28. Wedepohl L.M., and Wilcox D.J. Transient analysis of underground power-transmission systems. Proc IEE 120 2 (1973) 256-260
29. Uribe F.A., Naredo J.L., Moreno P., and Guardado L. Algorithmic evaluation of underground cable earth impedances. IEEE Trans Power Delivery 19 1 (2004) 316-322
30. Ramirez A., Gomez P., Moreno P., and Gutierrez A. Frequency domain analysis of electromagnetic transients through the numerical Laplace transform. IEEE Power Eng Soc Gen Meet IEEE, 1 (2004) 1136-1139
31. Saad O., Gaba G., and Giroux M. A closed-form approximation for ground return impedance of underground cables. IEEE Trans Power Delivery 11 3 (1996) 1536-1545
32. Gander W., and Gautschi W. Adaptive quadrature - revisited. BIT 40 1 (2000) 84-101