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New approach for imposing the nonlinear floating potential boundary condition in the Poisson-continuity coupled system

Qiwen Cheng (Department of Electrical Engineering, Tsinghua University, Beijing, P.R. China)
Jun Zou (Department of Electrical Engineering, Tsinghua University, Beijing, P.R. China)
Benliang Li (State Grid Economic and Technological Research Institute Co. Ltd, Beijing, P.R. China)
Jun Lu (State Grid Economic and Technological Research Institute Co. Ltd, Beijing, P.R. China)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 1 June 2022

Issue publication date: 12 January 2023

13

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.

Keywords

Acknowledgements

The authors acknowledge the financial support extended by National Natural Science Foundation of China (52077111) for carrying out the research work.

Citation

Cheng, Q., Zou, J., Li, B. and Lu, J. (2023), "New approach for imposing the nonlinear floating potential boundary condition in the Poisson-continuity coupled system", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 42 No. 1, pp. 101-111. https://doi.org/10.1108/COMPEL-01-2022-0052

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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