• 제목/요약/키워드: Finite Field Division

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유한체상의 순차논리머시인 구성에 관한 연구 (A Study on Constructing the Sequential Logic Machines over Finite Fields)

  • 박춘명
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 춘계종합학술대회
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    • pp.880-883
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    • 2005
  • 본 논문에서는 유한체 GF(P)상의 순차논리머시인구성 방법의 한가지를 제안하였다. 제안한 순차논리머시인구성 방법은 먼저 GF(P)상에서의 순차논리머시인의 수학적 성질을 논의하였으며, 순차논리머시인 구성을 위하여 기본의 3가지 회로소자를 사용하여 선형제환시프트레지스터와 이에 대한 행렬표현에 대해 논의하였다. 그리고, 제안한 방법을 제산연산처리에 적용하였다.

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해석적 방법을 이용한 슬롯리스 양측식 코어드 타입 영구자석 발전기의 와전류 손실 해석 (Eddy Current Loss Analysis of Slotless Double-sided Cored Type Permanent Magnet Generator by using Analytical Method)

  • 장강현;정경훈;홍기용;김경환;최장영
    • 전기학회논문지
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    • 제65권10호
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    • pp.1639-1647
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    • 2016
  • This paper deals with eddy current loss analysis of Slotless Double sided Cored type permanent magnet linear generator by using analytical method, space harmonic method. In order to calculate eddy current, this paper derives analytical solution by the Maxwell equation, magnetic vector potential, Faraday's law and a two-dimensional(2-D) cartesian coordinate system. First, we derived the armature reaction field distribution produced by armature wingding current. Second, by using derived armature reaction field solution, the analytical solution for eddy current density distribution are also obtained. Finally, the analytical solution for eddy current loss induced in permanent magnets(PMs) are derived by using equivalent, electrical resistance calculated from PMs volume and eddy current density distribution solution. The analytical result from space harmonic method are validated extensively by comparing with finite element method(FEM).

A STUDY OF THE PRESSURE SOLUTION AND DEFORMATION OF QUARTZ CRYSTALS AT HIGH pH AND UNDER HIGH STRESS

  • Choi, Jung-Hae;Seo, Yong-Seok;Chae, Byung-Gon
    • Nuclear Engineering and Technology
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    • 제45권1호
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    • pp.53-60
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    • 2013
  • Bentonite is generally used as a buffer material in high-level radioactive waste disposal facilities and consists of 50% quartz by weight. Quartz strongly affects the behavior of bentonite over very long periods. For this reason, quartz dissolution experiment was performed under high-pressure and high-alkalinity conditions based on the conditions found in a high-level radioactive waste disposal facility located deep underground. In this study, two quartz dissolution experiments were conducted on 1) quartz beads under low-pressure and high-alkalinity conditions and 2) a single quartz crystal under high-pressure and high-alkalinity conditions. Following the experiments, a confocal laser scanning microscope (CLSM) was used to observe the surfaces of experimental samples. Numerical analyses using the finite element method (FEM) were also performed to quantify the deformation of contact area. Quartz dissolution was observed in both experiments. This deformation was due to a concentrated compressive stress field, as indicated by the quartz deformation of the contact area through the FEM analysis. According to the numerical results, a high compressive stress field acted upon the neighboring contact area, which showed a rapid dissolution rate compared to other areas of the sample.

반사 음장을 고려한 음향 확산 구조의 위상 최적 설계 (Topology Optimization of an Acoustic Diffuser Considering Reflected Sound Field)

  • 양지은;이중석;김윤영
    • 한국소음진동공학회논문집
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    • 제23권11호
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    • pp.973-981
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    • 2013
  • The main role of an acoustic diffuser is to diffuse reflected sound field spatially. Since the pioneering work of Schroeder, there have been investigations to improve its performance by using shape/sizing optimization methods. In this paper, a gradient-based topology optimization algorithm is newly presented to find the optimal distribution of reflecting materials for maximizing diffuser performance. Time-harmonic acoustic analysis in a two-dimensional acoustic domain is carried out where the domain is discretized by finite elements. Perfectly matched layers are placed to surround the domain to simulate non-reflecting boundary conditions. Design variables are assigned to each element of which material properties are interpolated between those of air and those of a rigid body. An approach to extract the reflected field from the total acoustic field is employed. To validate the effectiveness of the proposed method, design problems are solved at different frequencies. The performance of the optimized diffusers obtained by the proposed method is compared against that of the conventional Schroeder diffusers.

Thermal Strain Measurement of Austin Stainless Steel (SS304) during a Heating-cooling Process

  • Ha, Ngoc San;Le, Vinh Tung;Goo, Nam Seo;Kim, Jae Young
    • International Journal of Aeronautical and Space Sciences
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    • 제18권2호
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    • pp.206-214
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    • 2017
  • In this study, measurement of thermophysical properties of materials at high temperatures was performed. This experiment employed a heater device to heat the material to a high temperature. The images of the specimen surface due to thermal load at various temperatures were recorded using charge-coupled device (CCD) cameras. Afterwards, the full-field thermal deformation of the specimen was determined using the digital image correlation (DIC) method. The capability and accuracy of the proposed technique are verified by two experiments: (1) thermal deformation and strain measurement of a stainless steel specimen that was heated to $590^{\circ}C$ and (2) thermal expansion and thermal contraction measurements of specimen in the process of heating and cooling. This research focused on two goals: first, obtaining the temperature dependence of the coefficient of thermal expansion, which can be used as data input for finite element simulation; and second, investigating the capability of the DIC method in measuring full-field thermal deformation and strain. The results of the measured coefficient of thermal expansion were close to the values available in the handbook. The measurement results were in good agreement with finite element method simulation results. The results reveal that DIC is an effective and accurate technique for measuring full-field high-temperature thermal strain in engineering fields such as aerospace engineering.

새로운 유한체 나눗셈기를 이용한 타원곡선암호(ECC) 스칼라 곱셈기의 설계 (Design of ECC Scalar Multiplier based on a new Finite Field Division Algorithm)

  • 김의석;정용진
    • 한국통신학회논문지
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    • 제29권5C호
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    • pp.726-736
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    • 2004
  • 본 논문에서는 타원곡선 암호 시스템을 위한 스칼라 곱셈기를 유한체 GF(2$^{l63}$)상에서 구현하였다. 스칼라 곱셈기는 stand basis를 기반으로 비트-시리얼 곱셈기와 나눗셈기로 구성되어 있으며 이 가운데 가장 많은 시간을 필요로 하는 나눗셈의 효율적인 연산을 위해 확장 유클리드 알고리즘 기반의 새로운 나눗셈 알고리즘을 제안하였다. 기존의 나눗셈기들이 가변적인 데이터 종속성으로 인해 제어 모듈이 복잡해지며 처리 속도가 느린 것에 비해 새로이 제안하는 나눗셈 알고리즘은 입력신호의 크기에 독접 적인 2-bit의 제어 신호만을 필요로 하기 때문에 기존의 나눗셈기에 비하여 하드웨어 사이즈 및 처리 속도면에서 유리하다. 또한 제안하는 나눗셈기의 연산 모듈은 규칙적인 구조를 가지고 있어 입력 신호의 크기에 따라 확장이 용이하다. 새로운 스칼라 곱셈기는 삼성전자 0.18 um CMOS 공정으로 합성하였을 경우 60,000게이트의 하드웨어 사이즈를 가지며 최대 250MHz까지 동작이 가능하다. 이 때 데이터 처리속도는 148kbps로 163-bit 프레임당 1.1㎳ 걸린다. 이러한 성능은 디지털 서명, 암호화 및 복호화 그리고 키 교환 등에 효율적으로 사용될 수 있을 것으로 여겨진다.다.

EIGENVALUES FOR THE SEMI-CIRCULANT PRECONDITIONING OF ELLIPTIC OPERATORS WITH THE VARIABLE COEFFICIENTS

  • Kim, Hoi-Sub;Kim, Sang-Dong;Lee, Yong-Hun
    • 대한수학회지
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    • 제44권3호
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    • pp.627-645
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    • 2007
  • We investigate the eigenvalues of the semi-circulant preconditioned matrix for the finite difference scheme corresponding to the second-order elliptic operator with the variable coefficients given by $L_vu\;:=-{\Delta}u+a(x,\;y)u_x+b(x,\;y)u_y+d(x,\;y)u$, where a and b are continuously differentiable functions and d is a positive bounded function. The semi-circulant preconditioning operator $L_cu$ is constructed by using the leading term of $L_vu$ plus the constant reaction term such that $L_cu\;:=-{\Delta}u+d_cu$. Using the field of values arguments, we show that the eigenvalues of the preconditioned matrix are clustered at some number. Some numerical evidences are also provided.

Analysis of Operating Characteristics of PM-Type Magnetic Circuit Breaker

  • Jun, Hee-Deuk;Woo, Kyung-Il;Kwon, Byung-Il
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제3B권2호
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    • pp.74-78
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    • 2003
  • This paper describes the operating characteristic analysis of the PM-type linear oscillatory actuator used as a magnetic circuit breaker for the electromagnetic field, electric circuit, and mechanical motion problems. Transient calculations are based upon a 2D finite element magnetic field solution including non-linearity of materials. Changes of the dynamic characteristics from the eddy current in the plunger are quantified from finite element analysis. A new laminated model is proposed to decrease the eddy current effect.

Prediction of Change in Equivalent Circuit Parameters of Transformer Winding Due to Axial Deformation using Sweep Frequency Response Analysis

  • Sathya, M. Arul;Usa, S.
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.983-989
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    • 2015
  • Power transformer is one of the major and key apparatus in electric power system. Monitoring and diagnosis of transformer fault is necessary for improving the life period of transformer. The failures caused by short circuits are one of the causes of transformer outages. The short circuit currents induce excessive forces in the transformer windings which result in winding deformation affecting the mechanical and electrical characteristics of the winding. In the present work, a transformer producing only the radial flux under short circuit is considered. The corresponding axial displacement profile of the windings is computed using Finite Element Method based transient structural analysis and thus obtained displacements are compared with the experimental result. The change in inter disc capacitance and mutual inductance of the deformed windings due to different short circuit currents are computed using Finite Element Method based field analyses and the corresponding Sweep Frequency Responses are computed using the modified electrical equivalent circuit. From the change in the first resonant frequency, the winding movement can be quantified which will be useful for estimating the mechanical withstand capability of the winding for different short circuit currents in the design stage itself.

Behavior of a combined piled raft foundation in a multi-layered soil subjected to vertical loading

  • Bandyopadhyay, Srijit;Sengupta, Aniruddha;Parulekar, Y.M.
    • Geomechanics and Engineering
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    • 제21권4호
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    • pp.379-390
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    • 2020
  • The behavior of a piled raft system in multi-layered soil subjected to vertical loading has been studied numerically using 3D finite element analysis. Initially, the 3D finite element model has been validated by analytically simulating the field experiments conducted on vertically loaded instrumented piled raft. Subsequently, a comprehensive parametric study has been conducted to assess the performance of a combined piled raft system in terms of optimum pile spacing and settlement of raft and piles, in multi-layered soil stratum subjected to vertical loading. It has been found that a combined pile raft system can significantly reduce the total settlement as well as the differential settlement of the raft in comparison to the raft alone. Two different arrangements below the piled raft with the same pile numbers show a significant amount of increase of load transfer of piled raft system, which is in line with the load transfer mechanism of a piled raft. A methodology for the factor of safety assessment of a combined pile raft foundation has been presented to improve the performance of piled raft based on its serviceability requirements. The findings of this study could be used as guidelines for achieving economical design for combined piled raft systems.