• Title/Summary/Keyword: Finite field method

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Finite Element Analysis of the Transient Characteristics of a Superconducting A.C. Generator (유한요소법에 의한 초전도교류 발전기의 과도 특성 해석)

  • 한성진;배동진
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.1
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    • pp.24-30
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    • 1991
  • This paper deals with the analysis of the transient characteristics of a superconducting a.c. generator(SCG) using Finite Element Method. Since the magnetic field induced by the field current and the armature currents are not sinusoidally distributed in a generator, the conventional equivalent circuit method, in general, uses the fundamental component only and is done in frequency domain. But the finite element analysis makes it possible to analyze the transient magnetic field distribution and the electrical characteristics of the double shields of SCG in time domain.

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Determination of the magnetic field in the air-gap of the linear stepper motor by finite element method (유한요소법에 의한 리니어스텝 모우터의 공극에서의 자계 분석)

  • 이승원;이병하
    • 전기의세계
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    • v.29 no.10
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    • pp.660-666
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    • 1980
  • The finite leement method is a effetive analysis technique for obtaining approximate solutions of continuum problems with boundary conditions. This paper deals with the programming for the application of this method and the preciser analysis of the magnetic field in the air gap of the linear stepper motor by the method. The finite element analysis based on the variational principle is adopted and the computer program for reducing input data and a large number of the memory words required by the system matrix is presented. The 2-dimensional analysis of the air gap is made and several cases according to varying the position are considered.

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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.

2.5 Dimensional Electromagnetic Finite Element Numerical modeling using linear conductivity variation (선형적 물성변화를 고려하는 유한요소법을 이용한 2.5차원 전자탐사 수치모델링)

  • Ko, Kwang-Beom;Suh, Baek-Soo
    • Journal of Industrial Technology
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    • v.18
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    • pp.131-138
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    • 1998
  • Numerical modeling for electromagnetic exploration methods are essential to understand behaviours of electromagnetic fields in complex subsurfaces. In this study, a finite element method was adopted as a numerical scheme for the 2.5-dimensional forward problem. And a finite element equation considering linear conductivity variation was proposed when 2.5-dimensional differential equation to couple eletric and magnetic field was implemented. Model parameters were investigated for near-field with large source effects and far-field with responses dominantly by homogeneous half-space. Numerical responses by this study were compared with analytic solutions in homogeneous half-space and compared with other three dimensional numerical results.

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A more efficient numerical evaluation of the green function in finite water depth

  • Xie, Zhitian;Liu, Yujie;Falzarano, Jeffrey
    • Ocean Systems Engineering
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    • v.7 no.4
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    • pp.399-412
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    • 2017
  • The Gauss-Legendre integral method is applied to numerically evaluate the Green function and its derivatives in finite water depth. In this method, the singular point of the function in the traditional integral equation can be avoided. Moreover, based on the improved Gauss-Laguerre integral method proposed in the previous research, a new methodology is developed through the Gauss-Legendre integral. Using this new methodology, the Green function with the field and source points near the water surface can be obtained, which is less mentioned in the previous research. The accuracy and efficiency of this new method is investigated. The numerical results using a Gauss-Legendre integral method show good agreements with other numerical results of direct calculations and series form in the far field. Furthermore, the cases with the field and source points near the water surface are also considered. Considering the computational efficiency, the method using the Gauss-Legendre integral proposed in this paper could obtain the accurate numerical results of the Green function and its derivatives in finite water depth and can be adopted in the near field.

Efficient Implementation of Finite Field Operations in NIST PQC Rainbow (NIST PQC Rainbow의 효율적 유한체 연산 구현)

  • Kim, Gwang-Sik;Kim, Young-Sik
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.31 no.3
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    • pp.527-532
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    • 2021
  • In this paper, we propose an efficient finite field computation method for Rainbow algorithm, which is the only multivariate quadratic-equation based digital signature among the current US NIST PQC standardization Final List algorithms. Recently, Chou et al. proposed a new efficient implementation method for Rainbow on the Cortex-M4 environment. This paper proposes a new multiplication method over the finite field that can reduce the number of XOR operations by more than 13.7% compared to the Chou et al. method. In addition, a multiplicative inversion over that can be performed by a 4x4 matrix inverse instead of the table lookup method is presented. In addition, the performance is measured by porting the software to which the new method was applied onto RaspberryPI 3B+.

CHARACTERISTIC POLYNOMIAL OF THE HYPERPLANE ARRANGEMENTS 𝓙n VIA FINITE FIELD METHOD

  • Song, Joungmin
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.759-765
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    • 2018
  • We use the finite method developed by C. Athanasiadis based on Crapo-Rota's theorem to give a complete formula for the characteristic polynomial of hyperplane arrangements ${\mathcal{J}}_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $1{\leq}i,j,k,l{\leq}n$.

Finite Element Analysis of Electromagnetic Systems Considering Hysteresis Characteristics (히스테리시스 특성을 고려한 전자계의 유한 요소 해석)

  • Kim, Hong-Gyu;Hong, Seon-Gi;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.3
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    • pp.118-123
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    • 1999
  • This paper describes the finite element procedure including the magnetic hysteresis phenomena. The magnetization-dependent Preisach model is employed to simulate the magnetic hysteresis and applied to each elements. Magnetization is calculated by the Fibonacci search method for the applied field in the implementation of the magnetization-dependent model. This can calculate the magnetization very accurately with small iteration numbers. The magnetic field intensity and the magnetization corresponding to the magnetic flux density obtained by the finite element analysis(FEA) are computed at the same time under the condition that these balues must satisfy the constitutive equation. In order to reduce the total calculation cost, pseudo-permeability is used for the input for the FEA. It is found that the presented method is very useful in combining the hysteresis model with the finite element method.

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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.