Calculation of 3-D electric field intensity in presence of conductors with floating potentials

Dong, Xuanchang; Qu, Fengrui; Li, Yanfei; Wu, Zhikun; Chen, Zeming; Huang, Guoquan; Liu, Gang

doi:10.1109/icpadm.2018.8401061

Cited by 3 publications

(7 citation statements)

References 3 publications

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“…However, different from the Dirichlet boundary condition, ϕ C η is an unknown and therefore we can not simply move the above integral to the right hand side as done in (16). Therefore we add ϕ C η as an unknown to the linear system (13).…”

Section: B Discontinuous Galerkin Formulationmentioning

confidence: 99%

“…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]. These methods' accuracy, ease of implementation (or amount of modifications required for implementation in legacy FEM codes), ability to account for charges on FPCs, and savings in the number of unknowns have recently been compared in [15].…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, both VPM and MRM lack the ability to enforce nonzero charge conditions on the surface of an FPC [13]- [15]. CSM can account for charge conditions but setting a specific charge distribution on an FPC calls for a priori knowledge often acquired heuristically by running multiple simulations [13]- [16].…”

Section: Introductionmentioning

confidence: 99%

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Modeling Floating Potential Conductors Using Discontinuous Galerkin Method

2020

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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. INDEX TERMS Discontinuous Galerkin method, electrostatics, finite element method, floating potential conductors, magnetostatics, plasmonic-enhanced photoconductive antenna.

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Section: B Discontinuous Galerkin Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling Floating Potential Conductors Using Discontinuous Galerkin Method

2020

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“…Both VPM and MRM cannot account for this nonzero charge condition 10‐12 . CSM can account for charge conditions since it enforces a specific charge distribution on an FPC but this requires a priori knowledge of simulation results or multiple iterative simulations 10‐13 . Several boundary element methods (BEMs) have also been developed for modeling FPC in electrostatic simulations 2,16 .…”

Section: Introductionmentioning

confidence: 99%

“…Even though execution of these electrostatic simulations by using a finite element method (FEM), which solves the Poisson equation, has become a common practice, accurate and efficient incorporation of FPC models within a FEM framework is still not a trivial task. In recent years, various techniques have been introduced to address this challenge 7,8,9,10,11,12,13,14 . The most commonly used methods among these are the virtual permittivity method (VPM) 7 , the matrix reduction method (MRM) 10 , and the charge simulation method (CSM) 8,9,13 .…”

Section: Introductionmentioning

confidence: 99%

A hybridizable discontinuous Galerkin method for simulation of electrostatic problems with floating potential conductors

Chen

Dong

et al. 2020

Int J Numerical Modelling

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In an electrostatic simulation, an equipotential condition with an undefined/floating potential value has to be enforced on the surface of an isolated conductor. If this conductor is charged, a nonzero charge condition is also required. While implementation of these conditions using a traditional finite element method (FEM) is not straightforward, they can be easily discretized and incorporated within a discontinuous Galerkin (DG) method. However, DG discretization results in a larger number of unknowns as compared to FEM. In this work, a hybridizable DG (HDG) method is proposed to alleviate this problem. Floating potential boundary conditions, possibly with different charge values, are introduced on surfaces of each isolated conductor and are weakly enforced in the global problem of HDG. The unknowns of the global HDG problem are those only associated with the nodes on the mesh skeleton and their number is much smaller than the total number of unknowns required by DG. Numerical examples show that the proposed method is as accurate as DG while it improves the computational efficiency significantly.

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Sensitivity Analysis Based New Numerical Approach with Green Function for Optimization

Topaloglu

2023

J. Electr. Eng. Technol.

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In this study, sensitivity analysis based on a new numerical approach is developed for the three-dimensional structural optimization of high voltage system devices. It has been developed using Green’s theorem in a closed form to satisfy all boundary conditions and necessary conditions, including material and geometric dimensions. The developed sensitivity function and objective function are suitable for structural optimization of all electrostatic problems. The suitability and application of the developed function were made on the bushing. The changing geometry information was obtained from the developed sensitivity function as a result of the optimization. The analysis made with the classical design and the developed function were compared with each other. Optimization with the developed function has provided insulation and conductor size reduction. Experimental test devices before and after optimization process produced and tested. These results are presented in the study.

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Calculation of 3-D electric field intensity in presence of conductors with floating potentials

Cited by 3 publications

References 3 publications

Modeling Floating Potential Conductors Using Discontinuous Galerkin Method

Modeling Floating Potential Conductors Using Discontinuous Galerkin Method

A hybridizable discontinuous Galerkin method for simulation of electrostatic problems with floating potential conductors

Sensitivity Analysis Based New Numerical Approach with Green Function for Optimization

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