Boundary element modeling of complex grounding systems: study on current distribution

Poljak, Dragan; Cerdic, Darko; Dorić, Vicko; Peratta, A.; Roje, Vesna; Brebbia, Carlos Alberto

doi:10.2495/be100111

Cited by 12 publications

(28 citation statements)

References 7 publications

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“…For quadrature rules which compute the multipole moments with insufficient accuracy the radius of convergence fails to decrease after reaching a certain degree. Note that up to p = 32 the 10 × 10 Gauss-Legendre quadrature rule computes the multipole moments to equivalent accuracy as algorithm (1). In order to make a direct comparison between the several methods it is necessary to fix an upper limit t error on the allowed relative error of the potential computed from the multipole coefficients of the triangle.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The area of the triangle is denoted by A. Within the context of the coordinate system S, we have P 0 = (0, 0), and u 1 = u 2 = h, so we may directly write down the basis functions p (1) j as:…”

Section: Definition 4 Assume That a Given Class Of Two Dimensional Inmentioning

confidence: 99%

“…One technique for numerically solving the Laplace equation is the boundary element method (BEM). Compared to other popular methods designed to accomplish the same goal, such as Finite Element and Finite Difference Methods [1], the BEM method focuses on the boundaries of the system rather than its domain, effectively reducing the dimensionality of the problem. BEM also facilitates the calculation of fields in regions that extend out to infinity (rather than restricting computation to a finite region) [2].…”

Section: Introductionmentioning

confidence: 99%

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A Method to Calculate the Spherical Multipole Expansion of the Electrostatic Charge Distribution on a Triangular Boundary Element

Barrett¹,

Formaggio²,

Corona³

2015

PIER B

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We describe a technique to analytically compute the multipole moments of a charge distribution confined to a planar triangle, which may be useful in solving the Laplace equation using the fast multipole boundary element method (FMBEM) and for charged particle tracking. This algorithm proceeds by performing the necessary integration recursively within a specific coordinate system, and then transforming the moments into the global coordinate system through the application of rotation and translation operators. This method has been implemented and found use in conjunction with a simple piecewise constant collocation scheme, but is generalizable to non-uniform charge densities. When applied to low aspect ratio (≤ 100) triangles and expansions with degree up to 32, it is accurate and efficient compared to simple two-dimensional Gauss-Legendre quadrature.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Definition 4 Assume That a Given Class Of Two Dimensional Inmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Method to Calculate the Spherical Multipole Expansion of the Electrostatic Charge Distribution on a Triangular Boundary Element

Barrett¹,

Formaggio²,

Corona³

2015

PIER B

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“…This effectively reduces the dimensionality of the problem and facilitates the calculation of fields for regions that extend out to infinity (rather than restricting computation to a finite region) [10]. These two features make the BEM faster and more versatile than competing methods when it is applicable.…”

Section: The Electrostatic Boundary Value Problemmentioning

confidence: 98%

Solving for Micro- And Macro-Scale Electrostatic Configurations Using the Robin Hood Algorithm

Formaggio¹,

Lazić²,

Corona³

et al. 2012

PIER B

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Abstract-We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems.We illustrate the capabilities of this solver by studying two distinct geometry scales: (a) the electrostatic potential of a large volume beta-detector and (b) the field enhancement present at surface of electrode nano-structures. Geometries with elements numbering in the O(10 5 ) are easily modeled and solved without loss of accuracy. The technique has recently been expanded so as to include dielectrics and magnetic materials.

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“…The boundary element method (BEM) developed in the late seventies for the purposes of civil and mechanical engineering [144] started to be used in electromagnetics in the 1980s. Nevertheless, there have been many applications of BEM in electromagnetics; the primer of BEM for electrical engineers appeared quite recently [145].…”

Section: Overviewmentioning

confidence: 99%

Physics-Based Modeling of Power System Components for the Evaluation of Low-Frequency Radiated Electromagnetic Fields

Barzegaran¹

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As the first phase of study, a proper model, including all the details of the component, was required. Therefore, the advances in EMC modeling were studied with classifying analytical and numerical models. The selected model was finite element (FE) modeling, coupled with the distributed network method, to generate the model of the converter's components and obtain the frequency behavioral model of the converter. The method has the ability to reveal the behavior of parasitic elements and higher resonances, which have critical impacts in studying EMI problems.For the EMC and signature studies of the machine drives, the equivalent source modeling was studied. Considering the details of the multi-machine environment, including actual models, some innovation in equivalent source modeling was performed vii to decrease the simulation time dramatically. Several models were designed in this study and the voltage current cube model and wire model have the best result. The GA-based PSO method is used as the optimization process. Superposition and suppression of the fields in coupling the components were also studied and verified. The simulation time of the equivalent model is 80-100 times lower than the detailed model. All tests were verified experimentally.For the EMC study of the switching activities, 3DFE modeling of a typical power electronic drive was implemented with an innovation in defining switching activities. The measurement was also applied for verification of the numerical results, and for investigating the stray fields under different operating conditions.As the application of EMC and signature study, the fault diagnosis and condition monitoring of an induction motor drive was developed using radiated fields. In addition to experimental tests, the 3DFE analysis was coupled with circuit-based software to implement the incipient fault cases. The identification was implemented using ANN for seventy various faulty cases. The simulation results were verified experimentally. Finally, the identification of the types of power components were implemented. More than 170 circumstances of the combinations of the typical power components were tested experimentally and the identification is explained. The results show that it is possible to identify the type of components, as well as the faulty components, by comparing the amplitudes of their stray field harmonics. The identification using the stray fields is nondestructive and can be used for the setups that cannot go offline and be dismantled.

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Boundary element modeling of complex grounding systems: study on current distribution

Cited by 12 publications

References 7 publications

A Method to Calculate the Spherical Multipole Expansion of the Electrostatic Charge Distribution on a Triangular Boundary Element

A Method to Calculate the Spherical Multipole Expansion of the Electrostatic Charge Distribution on a Triangular Boundary Element

Solving for Micro- And Macro-Scale Electrostatic Configurations Using the Robin Hood Algorithm

Physics-Based Modeling of Power System Components for the Evaluation of Low-Frequency Radiated Electromagnetic Fields

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