By Topic

An algorithm for steady-state thermal analysis of electrical cables with radiation by reduced Newton-Raphson techniques

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Haskew, T.A. ; Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA ; Carwile, R.F. ; Grigsby, L.L.

Thermal analysis of electrical cables and cable systems is a topic that has received considerable attention by many researchers. In typical analyses, nonlinear boundary conditions resulting from convection and radiation have been addressed. A finite-difference heat transfer model is employed, with nonlinearities treated via the Newton-Raphson technique with symbolic reduction. This reduces the dimension of the system of equations requiring iteration as well as the number of iterations required by offering quadratic convergence. The procedure for implementation of this reduced iterative algorithm is the major emphasis of this paper. In order to illustrate the procedure for implementation, only a single cable with radiation at the boundary is treated. Appropriate considerations for the extension of the method for more complex systems are discussed in a general sense. The overall scope of this paper is to illustrate the procedure for application of the algorithm to nonlinear thermal analyses. The finite-difference thermal model is obtained from power balance equations at each node of a solution grid imposed on the cable cross-section. All calculations are based on a per-unit length section with constant RMS conductor currents. Conductor resistance variations with temperature are considered, and no conductors are assumed isothermal. The convergence of the presented algorithm has proven to provide substantial speed-up over standard and accelerated Gauss-Seidel methods

Published in:

Power Delivery, IEEE Transactions on  (Volume:9 ,  Issue: 1 )