Finite-element method coupled with method of lines for the analysis of planar or quasi-planar transmission lines

2003 ◽  
Vol 51 (3) ◽  
pp. 848-855 ◽  
Author(s):  
Hao-Hui Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transmission Lines ◽  
Method Of Lines ◽  
Planar Transmission Lines ◽  
Element Method

scholarly journals Calculation of thermal field and ampacity of overhead power transmission lines using finite element method

2014 ◽  
Vol 17 (1) ◽  
pp. 16-29
Author(s):  
Long Van Hoang Vo ◽  
Tu Phan Vu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transmission Lines ◽  
Power Transmission ◽  
Power Lines ◽  
Power Transmission Lines ◽  
Thermal Fields ◽  
Overhead Power Transmission Lines ◽  
Transmission And Distribution ◽  
Element Method

The population explosion and development of the national economy are two main causes of increasing the power demand. Besides, the Distributed Generations (DG) connected with the power transmission and distribution networks increase the transmission power on the existing lines as well. In general, for solving this problem, power utilities have to install some new power transmission and distribution lines. However, in some cases, the install of new power lines can strongly effect to the environment and even the economic efficiency is low. Nowadays, the problem considered by scientists, researchers and engineers is how to use efficiently the existing power transmission and distribution lines through calculating and monitoring their current carrying capacity at higher operation temperature, and thus the optimal use of these existing lines will bring higher efficiency to power companies. Generally, the current carrying capacity of power lines is computed based on the calculation of their thermal fields illustrated in IEEE [1], IEC [2] and CIGRE [3]. In this paper, we present the new approach that is the application of the finite element method based on Comsol Multiphysics software for modeling thermal fields of overhead power transmission lines. In particular, we investigate the influence of environmental conditions, such as wind velocity, wind direction, temperature and radiation coefficient on the typical line of ACSR. The comparisons between our numerical solutions and those obtained from IEEE have been shown the high accuracy and applicability of finite element method to compute thermal fields of overhead power transmission lines.

A POSTERIORI ERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS

1999 ◽  
Vol 09 (02) ◽  
pp. 261-286 ◽  
Author(s):  
SLIMANE ADJERID ◽  
JOSEPH E. FLAHERTY ◽  
IVO BABUŠKA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Method Of Lines ◽  
Posteriori Error ◽  
Parabolic Problems ◽  
A Posteriori ◽  
Element Discretization ◽  
Mesh Spacing ◽  
A Posteriori Estimates ◽  
Element Method

Babuška and Yu constructed a posteriori estimates for finite element discretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd-order approximations arise near element edges as mesh spacing decreases while those of even-order approximations arise in element interiors. We construct similar a posteriori estimates for the spatial errors of finite element method-of-lines solutions of linear parabolic partial differential equations on square-element meshes. Error estimates computed in this manner are proven to be asymptotically correct; thus, they converge in strain energy under mesh refinement at the same rate as the actual errors.

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