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On the Dynamics of Bundled Conductors in Overhead Transmission Lines
Author(s) -
Verma Himanshu,
Dighe Ashish M.,
Hagedorn Peter
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410039
Subject(s) - overhead (engineering) , conductor , electrical conductor , electric power transmission , transcendental equation , eigenvalues and eigenvectors , transmission (telecommunications) , computer science , control theory (sociology) , topology (electrical circuits) , electronic engineering , mathematics , physics , engineering , electrical engineering , telecommunications , mathematical analysis , numerical analysis , quantum mechanics , geometry , control (management) , artificial intelligence
Abstract The Energy Balance Principle (EBP) is well established for estimating the vibration levels of wind induced oscillations of single overhead transmission lines. The mathematical model, wherein a conductor is treated as a continuous system, results in a transcendental eigenvalue problem (EVP), which gives numerical difficulties in the case of bundled conductors. In this paper, different approaches for solving transcendental EVP and their relative merits are discussed. A new method named continuous spectrum approach provides a good engineering solution. Results from different approaches are compared. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)