Monte Carlo field calculations

Pickles, J.H.

doi:10.1049/piee.1977.0268

Cited by 18 publications

(3 citation statements)

References 1 publication

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“…Other possible numerical methods were the charge simulation method [18], the finite-element method [19] and the Monte Carlo method [20]. These methods require the dielectric boundary conditions to be imposed externally.…”

Section: Methods Of Analysismentioning

confidence: 99%

Computation of the electric field at a solid/gas interface in the presence of surface and volume charges

Bektas

Farish

Hızal

1986

IEE Proc. A Phys. Sci. Meas. Instrum. Manage. Educ. Rev. UK

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Enhancement of the electric field at a solid insulator/electrode/gas triple junction and on the surface of an insulator, due to imperfect contacts, surface irregularities and contamination, reduces the withstand voltage of the gas-only system. The charges deposited on the surface and in the bulk of the insulator, when stressed under high voltage, further modify the electric field. In the paper, the influence of accumulated static charges on the electric field distribution associated with a cylindrical insulator held between plane electrodes in atmospheric air is investigated. The electric field along the solid dielectric/air interface is calculated for different surface and volume charge distributions by using the finite-difference method based on Gauss's law. Derivation of the iteration equations are relatively easy, and, unlike most methods, there is no need for external imposition of solid dielectric/gas boundary conditions. The results indicate that, for some surface and volume charge distributions, field enhancement occurs at the triple junction, and this could initiate a surface flashover.List of symbols and units V = electric potential, V

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Section: Methods Of Analysismentioning

confidence: 99%

Computation of the electric field at a solid/gas interface in the presence of surface and volume charges

Bektas

Farish

Hızal

1986

IEE Proc. A Phys. Sci. Meas. Instrum. Manage. Educ. Rev. UK

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“…To solve by means of the Monte Carlo synthesis method, one must proceed as follows [10,11]: i) N (k) random paths will be considered having the start points k = 1...n; ii) The potential will be denoted by V i ; iii) From the total of all paths started from a start point, N i (k) will arrive in the frontier vertex; iv) M j (k) is the number of passes through internal nodes; v) The procedure is repeated m times, for each interior node of given potential, and finally one obtains:…”

Section: Figure 2 General Physical Domainmentioning

confidence: 99%

FPGA-based Monte-Carlo computation of the electric potential in homogeneous and non-homogeneous spaces

Simon

Tudoran

Cret

et al. 2011

Proceedings of the 8th FPGAWorld Conference

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This paper presents a general solution for computing the electric potential in homogeneous and non-homogeneous media using a Monte Carlo-based method. The implementation relies on an original framework that uses FPGAs to improve the computational speed.The calculation process relies on a series of both geometric and electric parameters describing the space, which is modeled by a regular geometrical structure.The computational effort strongly depends on the parameters' variation range, which severely limits the performance of software implementations that rely on general-purpose processors.Compared to the previous software implementations, this approach allows increasing the variation range of all parameters involved in the computation, thus yielding more accurate and faster results. The obtained computation time is more than one order of magnitude less than classical software solutions.The computation of the electric potential can be considered a case study used to validate the method. However, the framework is scalable and can be easily extended to a wide class of similar problems.

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“…Other methods which are not as commonly used are the Finite Difference Method (FDM) and the Monte Carlo Method (MCM) [7,8].…”

Section: Introductionmentioning

confidence: 99%

Boundary Element Methods for Weakly Three Dimensional Quasi-Electrostatic Problems

Olsen

Einarsson

1987

IEEE Trans. Power Delivery

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Using perturbation theory, a Boundary Element Method is developed for solving a class of three dimensional electrostatics problems. This class includes problems for which an axially symmetric object is weakly coupled to other objects without symmetry so that the total geometry is three dimensional. A problem which falls into this class is that of a surge arrester located near one or more other arresters. The time required for set up and solution using this method is not significantly greater than that required for solving the axially symmetric problem by itself. A simple empirical formula for error is developed by comparing exact solutions with solutions developed using the method described here.

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Monte Carlo field calculations

Cited by 18 publications

References 1 publication

Computation of the electric field at a solid/gas interface in the presence of surface and volume charges

Computation of the electric field at a solid/gas interface in the presence of surface and volume charges

FPGA-based Monte-Carlo computation of the electric potential in homogeneous and non-homogeneous spaces

Boundary Element Methods for Weakly Three Dimensional Quasi-Electrostatic Problems

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