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Highly stable finite volume based relaxation iterative algorithm for solution of dc line ionized fields in the presence of wind
Author(s) -
Li Xin,
Ciric I. R.,
Raghuveer M. R.
Publication year - 1997
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199711/12)10:6<355::aid-jnm285>3.0.co;2-m
Subject(s) - iterative method , relaxation (psychology) , finite volume method , convergence (economics) , poisson's equation , upwind scheme , finite element method , stability (learning theory) , range (aeronautics) , successive over relaxation , mathematics , mathematical analysis , algorithm , mechanics , local convergence , computer science , physics , materials science , psychology , social psychology , machine learning , discretization , economics , composite material , thermodynamics , economic growth
This paper presents a highly stable relaxation iterative algorithm for solving the ionized fields of unipolar HVDC transmission lines in the absence or in the presence of wind. The finite element method is employed to solve Poisson's equation, and the upwind finite volume method is applied to solve the current continuity equation. The algorithm has been tested up to a wind velocity of 45 m/s. Results obtained for a unipolar HVDC transmission line model show that the application of the upwind method increases the stability and convergence of the iterative algorithm when wind is stronger, while the implementation of a relaxation technique makes it possible for the iterative algorithm to cover a wide range of wind velocities, geometric parameters and ratios of the applied voltage to the corona onset value. © 1997 John Wiley & Sons, Ltd.