NDLI: Error in propagation velocity due to staircase approximation of an inclined thin wire in FDTD surge Simulation

Content Provider	IEEE Xplore Digital Library
Author	Noda, T. Yonezawa, R. Yokoyama, S. Takahashi, Y.
Copyright Year	1986
Abstract	This paper presents the result of a study on the error in propagation velocity introduced by the staircase approximation of a thin wire in the finite difference time domain (FDTD) surge simulation. The FDTD method directly solves Maxwell's equations by discretizing the space of interest into cubic cells. Thus, it is suitable for solving very-fast surge phenomena which cannot be dealt with by conventional techniques based on the lumped- and distributed-parameter circuit theories. However, FDTD has a limitation that the shape of a conductive object must be modeled by a combination of sides of cells with forced zero electric fields. This indicates that a thin wire, one of the most important components in the surge simulation, results in a staircase approximation, if the wire is not parallel to any of the coordinate axes used for the discretization. A staircase approximation gives a slower propagation velocity due to the zigzag path which is longer than the actual length of the wire. For precise simulations, the error in propagation velocity has to be clarified quantitatively. In this paper, extensive simulations are carried out to obtain the velocity versus inclination characteristic, and it is deduced that the maximum error in propagation velocity is less than 14%.
Sponsorship	IEEE Power Engineering Society
Starting Page	1913
Ending Page	1918
Page Count	6
File Size	215736
File Format	PDF
ISSN	08858977
Volume Number	19
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wire Finite difference methods Time domain analysis Surges Circuit simulation Maxwell equations Computational modeling Numerical simulation Distributed parameter circuits Shape
Content Type	Text
Resource Type	Article
Subject	Energy Engineering and Power Technology Electrical and Electronic Engineering

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