New approach for imposing the nonlinear floating potential boundary condition in the Poisson-continuity coupled system
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Published:2022-06-01
Issue:1
Volume:42
Page:101-111
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ISSN:0332-1649
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Container-title:COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
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language:en
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Short-container-title:COMPEL
Author:
Cheng Qiwen,Zou Jun,Li Benliang,Lu Jun
Abstract
Purpose
The purpose of this study is to develop a new approach for simulating the ion flow field with the floating conductors based on the existing inversion method.
Design/methodology/approach
The space charge keeps charging the floating conductors until the dynamic balance is reached. The corresponding floating potential boundary condition is linearized as the combination of the equipotential constraints and natural boundary condition, which can be directly imposed in the inversion process.
Findings
The numerical results demonstrate that the modified inversion algorithm performs well in the ion flow field with the floating conductors and the floating potential converges within five steps’ iterations. The proposed approach is applied to investigate the effect of the grounded line to the floating conductors in the practical high voltage direct current (HVDC) transmission lines.
Originality/value
The modified inverse algorithm provides a general way to deal with the Kapzov hypothesis and the floating boundary condition simultaneously within one loop, which can be applied to the multiphysics systems with different kinds of irregular boundary conditions.
Subject
Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications
Reference18 articles.
1. A novel and general approach for solving the ion flow field problem by a regularization technique,2021
2. Treatment of stress suspended conductors in stress distribution calculation of MOA;Insulators and Surge Arresters,2000
3. Application of Galerkin finite element method with Newton iterations in computing steady-state solutions of unipolar charge currents in corona devices;Journal of Computational Physics,1999
4. Calculation and analysis of ground level total electric field under ± 500kV HVDC lines considering the influence of metal return lines,2019
5. Finite element solution for electric fields of coronating DC transmission lines;IEEE Transactions on Power Apparatus and Systems,1979