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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-04-26
Transient Solution for Lossy Transmission Line by Means of Orthogonal Projection Method
By
Hengxu Ha,

    Dr. Hengxu Ha

    School of Science

    Xi’dian University

    China

    Homepage

Jing Cai,

    Ms. Jing Cai

    Shandong University of technology

    China

    Homepage

Zhi-Qian Bo,

    Dr. Zhi-Qian Bo

    AREVA T&D UK Limited

    UK

    Homepage

Bo Chen

    Dr. Bo Chen

    Shaanxi Electric Power Company

    China

    Homepage

Progress In Electromagnetics Research B, Vol. 29, 393-408, 2011
doi:10.2528/PIERB11011109 | Google Scholar

Abstract
A novel electromagnetic transient analysis technique by means of the orthogonal projection method for lossy transmission line is proposed. By employing the proposed method, the traveling waves propagating from one terminal to another can be quickly obtained with less amount of computation at considerably large steps. First of all, the differential function to variable time can be approximated to be the convolution with a fixed vector relates to a certain set of orthogonal basis, e.g. Daubechies' basis. The partial differential telegraph equations related to both variable time t and distance x are then transformed to be differential equations only related to x. The solution of such equations can be obtained accordingly. The discrete coefficients of propagation function for lossy line are obtained as well, by which the propagating traveling waves can be calculated precisely at considerably large sampling periods with less amount of computation.
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Citation
Hengxu Ha, Jing Cai, Zhi-Qian Bo, and Bo Chen, "Transient Solution for Lossy Transmission Line by Means of Orthogonal Projection Method," PIER B, Vol. 29, 393-408, 2011.
doi:10.2528/PIERB11011109
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