Hybrid Boundary Element Method for Multi-Layer Electrostatic and Magnetostatic Problems

Raicevic, Nebojsa; Aleksić, Slavoljub; Ilić, S

doi:10.1080/02726343.2010.499067

Cited by 25 publications

(14 citation statements)

References 15 publications

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“…The HBEM can be also applied to analysis of corona effects (Petković et al, 2011) and metamaterial structures (Raičević & Ilić, 2009). The method efficiency and accuracy was confirmed in Raičević et al (2010a) by comparing the obtained and experimental results and the finite-element method (FEM) results from Pokryvailo et al (2010).…”

Section: Introductionmentioning

confidence: 67%

“…The basic Green's function for the electric scalar potential of total charges per unit length placed in free space at the boundary surface of any two layers is used. Until now, this method is applied to solving multilayered electromagnetic problems , grounding systems (Ilić et al, 2010a), electromagnetic field determination in the vicinity of cable terminations (Raičević et al, 2010b), as well as calculating strip line parameters when the strip line is above the infinite-width grounded plane . The HBEM can be also applied to analysis of corona effects (Petković et al, 2011) and metamaterial structures (Raičević & Ilić, 2009).…”

Section: Introductionmentioning

confidence: 99%

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Hybrid Boundary Element Method and Quasi-TEM Analysis of Two-Dimensional Transmission Lines—Generalization

et al. 2013

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The hybrid boundary element method, based on the equivalent electrodes method and the boundary element method, is presented in this article. This method is applied on several examples for calculating the characteristic impedance of transmission lines. It should be emphasized that the combination of the equivalent electrodes method and a new variant of the boundary element method can be efficiently implemented in quasi-transverse electromagnetic analysis of transmission lines without loss of accuracy. All results for the characteristic impedance of the observed transmission lines are compared to corresponding ones obtained by the finite-element method.

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Section: Introductionmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Hybrid Boundary Element Method and Quasi-TEM Analysis of Two-Dimensional Transmission Lines—Generalization

et al. 2013

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“…In this way, the integral equation satisfies the governing field equation exactly, and one seeks to satisfy the imposed boundary conditions approximately. This paper presents a hybrid numerical method [1,2] based on Equivalent Electrode Method (EEM) [3] and BEM, where the basic idea of successful application of EEM is that an arbitrary shaped electrode can be replaced by Equivalent Electrodes (EEs). Using the EEM it is possible to determine potential and electric field in arbitrarily chosen point of cable end region [4]- [7].…”

Section: Introductionmentioning

confidence: 99%

New EEM/BEM hybrid method for electric field calculation in cable terminations

Raicevic

Tasić

Ilić

et al. 2011

2011 IEEE EUROCON - International Conference on Computer as a Tool

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From the aspect of design and operation, cables and cable accessories are still very actual. Technological developments and the increasing need for electricity cause wider everyday cable termination applications. To ensure reliable performance over the cable system lifetime, design concepts, based on numerical calculations, must be correct. An Equivalent Electrodes Method/Boundary Elements Method-hybrid approach that allows electromagnetic field calculations in multilayer dielectric media including inhomogeneous regions is presented. Applications of the method to electric field calculations in cable terminations with finite thickness of dielectric stripes and stress cones are presented. Electric field distribution is considered for multilayer dielectrics with constant dielectric permittivity. The proposed method obtained results are compared with values obtained by using the finite elements method. It is shown that application of this hybrid numerical method is easier than the finite elements calculations in complex regions, and that the high degree of accuracy is achieved along with saving the computational time. A number of different constructions of cable terminations are experimentally verified using the proposed hybrid method.

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“…The new method, developed at our Department, is based on the EEM, on the point-matching method (PMM) for the potential of the PEC electrodes and for normal component of electric field at the boundary surface between any two dielectric layers. This method is called the hybrid boundary element method (HBEM) [17][18][19][20][21][22][23]. Until now, it is applied to solving multilayered electromagnetic problems [18], grounding systems [19], as well as electromagnetic field determination in the vicinity of cable terminations [20].…”

Section: Introductionmentioning

confidence: 99%

“…This method is called the hybrid boundary element method (HBEM) [17][18][19][20][21][22][23]. Until now, it is applied to solving multilayered electromagnetic problems [18], grounding systems [19], as well as electromagnetic field determination in the vicinity of cable terminations [20]. The HBEM can be also applied to analysis of corona effects [21] and metamaterial structures [22].…”

Section: Introductionmentioning

confidence: 99%

Application of hybrid boundary element method to 2D microstrip lines analysis

Perić

Ilić

Aleksić

et al. 2013

JAE

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The hybrid boundary element method is applied for the calculation of the characteristic impedance of 2D microstrip lines with a finite width dielectric layer and with finite width or infinite ground planes. Even though these forms of microstrips are very typical in practice, they have not been investigated very often. The basic idea of this method is that an arbitrary shaped electrode can be replaced by equivalent electrodes, and an arbitrary shaped boundary surface between any two dielectric layers can be replaced by discrete equivalent total line charges placed in the air. The discretization technique is similar to the method of moments and is well known. As a contribution to the boundary element method, we combine it with the equivalent electrodes method, creating in that way a new hybrid boundary element method. This method could be applied to a large variety of very complex 2D problems, regarding microstrip lines with or without symmetry. The quasi TEM analysis is applied. We compare values of characteristic impedance obtained applying our method with the corresponding ones obtained by the finite element method and values already reported in the literature. Relative error less than 0.5%, fast convergence of the results and several times shorter computation time comparing to the time required by finite element method make our method very efficient in the calculation of parameters of 2D microstrip lines.

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Hybrid Boundary Element Method for Multi-Layer Electrostatic and Magnetostatic Problems

Cited by 25 publications

References 15 publications

Hybrid Boundary Element Method and Quasi-TEM Analysis of Two-Dimensional Transmission Lines—Generalization

Hybrid Boundary Element Method and Quasi-TEM Analysis of Two-Dimensional Transmission Lines—Generalization

New EEM/BEM hybrid method for electric field calculation in cable terminations

Application of hybrid boundary element method to 2D microstrip lines analysis

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