Thin Wire Representation of the Vertical Conductor in Surge Simulation
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Thin Wire Representation of the Vertical Conductor in Surge SimulationAbstract
Simulation of very fast surge phenomena in a three-dimensional (3-D) structure requires a method based on Maxwell’s equations, such as the FDTD (finite difference time domain) method or the MoM (method of moments), because circuit-equation-based methods cannot handle the phenomena. This paper describes a method of thin wire representation of the vertical conductor system for the FDTD method which is suitable for the 3-D surge simulation. The thin wire representation is indispensable to simulate electromagnetic surges on wires or steel frames of which the radius is smaller than a discretized space step used in the FDTD simulation. A general surge analysis program named VSTL (Virtual Surge Test Lab.) based on the Maxwell equations formulated by the FDTD method is used to simulate the surge phenomena of a vertical conductor, including the effects of ground plane and without ground plane. By use of the Maxwell equations, VSTL is inherently able to take into account the three-dimensional geometrical features of a simulated structure unlike EMTP-type circuit-based transient programs. Comparisons between calculated results by the FDTD method, theoretical results and computed results by the NEC-2 (Numerical Electromagnetic Code) based on the MoM are presented to show the accuracy of the thin wire representation.
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References
H. W. Dommel, “Digital computer solution of electromagnetic
transients in single-and multi-phase networks,” IEEE Trans.
Power App. Syst. , vol. PAS-88, pp. 388–399, Apr.1969.
K. S. Yee, “Numerical solution of initial boundary value prob-
lems involving Maxwell’s equations in isotropic media,” IEEE
Trans. Antennas Propagat. , vol. AP-14, pp. 302–307, May
K. S. Kunz and R. J. Luebbers, The Finite Difference Time
Domain Method for Electromagnetics, Boca Raton, FL: CRC,
R. F. Harrington, Field Computation by Moment Methods.
New York: Macmillan, 1968.
G. J. Burke and A. J. Poggio, Numerical Electromagnetic
Code (NEC)– Method of Moments: Lawrence Livermore Lab-
oratory, 1981.
G. J. Burke and E. K. Miller, “Modeling antennas near to
and penetrating a lossy interface,” IEEE Trans. Antennas
Propagat., vol. AP-32, pp. 1040–1049, Oct. 1984.
T. Noda and S. Yokoyama, “Development of a general surge
analysis program based on the FDTD method,” Trans. IEE
of Japan vol. 121-B, no. 5, pp. 625–632, 2001.
H. Takahashi, “A Consideration on the vertical conductor
problem,” Proc. of ICEE, pp. 635–638, 2001.
T. Hara et al., “Transmission tower model for surge analysis,”
in Proc. H3 IEE Japan Power and Energy Conf., 1991, Paper
no. II-270.
M. O. Goni, P. T. Cheng and H. Takahashi, “Theoretical and
experimental investigations of the surge response of a vertical
conductor,” in Proc. IEEE Power Engineering Soceity Int’n
Conf., vol. 2, pp. 699–704, 2002.
M. O. Goni, and H. Takahashi, “Theoretical and experimental
investigations of the surge response of a vertical conductor,”
The ACES Journal, vol. 18, no. 1 pp. 41–47, Mar. 2003.
K. R. Umashankar et al., “Calculation and experimental val-
idation of induced currents on coupled wires in an arbitrary
shaped cavity,” IEEE Trans. Antennas Propagat., vol. AP-35,
pp. 1248–1248, Nov. 1987.
T. Kashiwa, S. Tanaka, and I. Fukai, “Time domain analy-
sis of Yagi-Uda antennas using the FDTD method,” IEICE
Trans. Commun. vol. J76-BII, pp 872-872, Nov. 1993.
T. Noda and S. Yokoyama, “Thin wire representation in finite
difference time domain surge simulation,” IEEE Trans. Power
Delivery vol. 17, no. 3, pp. 840–847, 2002.
Z. P. Liao, H. L. Wong, B.-P. Yang, and Y.-F. Yuan, “A
transmitting boundary for transient wave analysis,” Science
sinica, Series A, vol. 27, no. 10 pp. 1063–1063, 1984.
C. A. Jordan, “Lightning computation for transmission line
with ground wires,” General Electric Review, vol. 34, pp.
–185, 1934.
Y. Baba and M. Ishii, “Numerical electromagnetic field anal-
ysis on lightning surge response of tower with shield wire,”
IEEE Trans. PWRD, vol. 15, pp. 1010–1015, no. 3, Jul. 2000.
H. Takahashi, E. Kaneko, K. Yokokura, K. Nojima, T. Sh-
iori, and I. Ohshima, “New Derivation method of the surge
impedance on the tower model of a vertical conductor by the
electromagnetic field theory (Part 3: Introduction of confined
gauge potential and experimental analysis) ”(in japanese),
Proc. of IEE of Japan, vol. 1, pp. 229–234, 1995
