• Title/Summary/Keyword: Finite Field

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Heat Characteristics Analysis of Synchronous Reluctance Motor Using FEM Coupled Electromagnetic Field and Thermal Field

  • Lee, Jung-Ho;Jeon, Ah-Ram
    • Journal of Magnetics
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    • v.15 no.3
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    • pp.138-142
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    • 2010
  • This paper reports the development of an analysis method in a synchronous reluctance motor (SynRM) using the finite element method (FEM) coupled with the electromagnetic field of the Preisach model, which represents an additional thermal source due to hysteresis loss and a thermal field. This study focused on thermal analysis relative to hysteresis and copper losses in a SynRM.

SOME REMARKS ON NON-SYMPLECTIC AUTOMORPHISMS OF K3 SURFACES OVER A FIELD OF ODD CHARACTERISTIC

  • Jang, Junmyeong
    • East Asian mathematical journal
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    • v.30 no.3
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    • pp.321-326
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    • 2014
  • In this paper, we present a simple proof of Corollary 3.3 in [5] using the fact that for a K3 surface of finite height over a field of odd characteristic, the height is a multiple of the non-symplectic order. Also we prove for a non-symplectic CM K3 surface defined over a number field the Frobenius invariant of the reduction over a finite field is determined by the congruence class of residue characteristic modulo the non-symplectic order of the K3 surface.

THE INVERSE GALOIS PROBLEM

  • MATYSIAK, LUKASZ
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.765-767
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    • 2022
  • The inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers. This problem, first posed in the early 19th century, is unsolved. In other words, we consider a pair - the group G and the field K. The question is whether there is an extension field L of K such that G is the Galois group of L. In this paper we present the proof that any group G is a Galois group of any field extension. In other words, we only consider the group G. And we present the solution to the inverse Galois problem.

Finite Element Modeling of Electrochemical Governing Equations for Ionic Polymer Actuators (이온성고분자액추에이터의 전기화학적 지배방정식의 유한요소모델링)

  • Kang, Sung-Soo
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.5
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    • pp.759-767
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    • 2008
  • Bending deformation of an ionic polymer actuator(IPA) on applied low electric field across its thickness is dominated by electroosmosis of hydrated ions and self-diffusion of free water molecules. In the study by Popovic et al., two processes are assumed to occur sequentially in the way that fast electroosmosis is followed by self-diffusion and finite element formulation for the basic field equations are proposed. However the motions of hydrated ions and water molecules occur at the same time. In this study, those two processes are considered simultaneously and finite element formulation is conducted for the basic field equations governing electrochemical response of an IPA. Some numerical studies for IPA are carried out in order to show the validity of the present formulation.

Design of High-speed Digit Serial-Parallel Multiplier in Finite Field GF($2^m$) (Finite Field GF($2^m$)상의 Digit Serial-Parallel Multiplier 구현)

  • Choi, Won-Ho;Hong, Sung-Pyo
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.928-931
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    • 2003
  • This paper presents a digit-serial/parallel multiplier for finite fields GF(2m). The hardware requirements of the implemented multiplier are less than those of the existing multiplier of the same class, while processing time and area complexity. The implemented multiplier possesses the features of regularity and modularity. Thus, it is well suited to VLSI implementation. If the implemented digit-serial multiplier chooses the digit size D appropriately, it can meet the throughput requirement of a certain application with minimum hardware. The multipliers and squarers analyzed in this paper can be used efficiently for crypto processor in Elliptic Curve Cryptosystem.

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Finite element formulations for free field one-dimensional shear wave propagation

  • Sun-Hoon Kim;Kwang-Jin Kim
    • Earthquakes and Structures
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    • v.26 no.2
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    • pp.163-174
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    • 2024
  • Dynamic equilibrium equations for finite element analysis were derived for the free field one-dimensional shear wave propagation through the horizontally layered soil deposits with the elastic half-space. We expressed Rayleigh's viscous damping consisting of mass and stiffness proportional terms. We considered two cases where damping matrices are defined in the total and relative displacement fields. Two forms of equilibrium equations are presented; one in terms of total motions and the other in terms of relative motions. To evaluate the performance of new equilibrium equations, we conducted two sets of site response analyses and directly compared them with the exact closed-form frequency domain solution. Results show that the base shear force as earthquake load represents the simpler form of equilibrium equation to be used for the finite element method. Conventional finite element procedure using base acceleration as earthquake load predicts exact solution reasonably well even in soil deposits with unrealistically high damping.

A New Method to Estimate the Induced Electric Field in the Human Child Exposed to a 100 kHz-10 MHz Magnetic Field Using Body Size Parameters

  • Park, Young-Min;Song, Hye-Jin;Byun, Jin-Kyu
    • Journal of Magnetics
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    • v.19 no.2
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    • pp.174-180
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    • 2014
  • In this paper, a new and simple method is proposed to quickly estimate the induced electric field in the human child exposed to a 100 kHz-10 MHz magnetic field, for the sake of electromagnetic field (EMF) safety assessment. The quasi-static finite-difference time-domain (FDTD) method is used to calculate the induced electric fields in high resolution 3D human child models with various body size parameters, in order to derive the correction factor for the estimation equation. The calculations are repeated for various frequencies and incident angles of the magnetic field. Based on these calculation results, a new and simple estimation equation for the 99th percentile value of the body electric field is derived that depends on the body size parameters, and the incident magnetic field. The estimation errors were equal to or less than 5.1%, for all cases considered.

The Mode Analysis for field pattern analysis of a Finite Periodic Dielectric Structure (유한한 유전체 격자구조에서 필드패턴 분석을 위한 모드연구)

  • Kim, Min-Nyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.3
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    • pp.645-648
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    • 2008
  • In this paper, we analyze inner- and far-field emitted field pattern by more exactly calculating modes formed from a finite periodic dielectric structure(FPDS). It is assumed that TE-modes are generated in FPDS, and the fields in each layer are determined by proper boundary conditions. Consequently, the fields generate modes in the FPDS and the number of modes depends on its structural characteristics. In this work, the modes betwween dielectric layers and their field patterns are calculated in a specific frequency. In addition. far field patterns are given by using FFT of the calculated modes.

Three-Dimensional Finite Element Analysis of a Vacuum Interrupter (진공 인터럽터의 3차원 유한요소해석)

  • Choi, Seung-Kil;Kang, Hyung-Boo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.48 no.10
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    • pp.693-698
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    • 1999
  • Vacuum interrupters have a special asymmetric electrode structure to generate an magnetic field and consequently to increase the interrupting ability. Accordingly 2-dimensional analysis has a large analysis error because radial flux can not be considered. In this paper, in order to analyse the electric field distribution of a vacuum interrupter with arc shield more accurately, 3-dimensional finite element method(FEM) is used. The induced electric potentials of floating shield was increased with the gap distance, which is because the relative position of shield is closer to the fixed contact so that the capacitance distribution inside interrupter is varied. The calculated results also show that the induced potential of shield causes electric field distortion so that the maximum value of electric field in a vacuum interrupter with arc shield is higher than that without one.

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A Numerical Model of EM field calculation using Absorbing Boundary Conditions (Absorbing Boundary Condition을 이용한 전자파 수치해석)

  • Shin, Pan-Seok
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.78-81
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    • 1990
  • The Engquist-Majdas second-order Absorbing Boundary Conditions (ABC) has been combined with the finite element formulation replacing the boundary integral equations in the hybrid finite-boundary element method (HEM). The method is applied to electromagnetic field radiation problems, especially to the microwave launcher, in order to verify the finite element formulation with the ABC's. The results with ABC are in good agreement with those of HEM. In order to see the applicability of the ABC, a simplified microwave oven utilizing ABC and an absorbing material are provided. The EM field distribution of the model is visualized. This method could be a useful analysis and design tool for EM field devices.

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