Abstract
Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors. In this work, a numerical scheme making use of the discontinuous Galerkin (DG) method is proposed to model such conductors in electrostatic problems. A floating-potential boundary condition, which involves the equipotential condition together with a total charge condition, is “weakly” enforced on the conductor surfaces through the numerical flux of the DG method. Compared to adaptations of the finite element method used for modeling conductors, this proposed method is more accurate, capable of imposing charge conditions, and simpler to implement. Numerical results, which demonstrate the accuracy and applicability of the proposed method, are presented.
Highlights
In electrostatic simulations, a perfect conductor is used to approximate a metallic body with a very high conductivity and its surface is assumed to be equipotential
Electrode core of high-voltage inductors [1], floating electrodes of IEC surge arresters [2], defects in ultra-high-voltage gas-insulated switchgear [3], passive electrodes of earthing systems [4], conductor of floating-gate transistors [5], plasma analyzer for spacecraft floating potential measurements [6], and metallic nanostructures in optoelectronic devices [7] can all be modeled as isolated conductors in electrostatic simulations
We propose a scheme that permits the discontinuous Galerkin (DG) method [18]–[20] to account for floatingpotential conductors (FPCs)
Summary
A perfect conductor is used to approximate a metallic body with a very high conductivity and its surface is assumed to be equipotential. Several techniques have been introduced to the traditional FEM so that FPCs can be accounted for These include the virtual permittivity method (VPM) [10], the matrix reduction method (MRM) [13], and the charge simulation method (CSM) [11], [12], [16]. Chen et al.: Modeling FPCs Using DG Method it requires considerable modifications to the original FEM code [13]–[15] Both VPM and MRM lack the ability to enforce nonzero charge conditions on the surface of an FPC [13]–[15].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
