• Title/Summary/Keyword: Biot-Savart Law

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Numerical Analysis of Three-Dimensional Magnetic Resonance Current Density Imaging (MRCDI) (3차원 자기공명 전류밀도 영상법의 수치적 해석)

  • B.I. Lee;S.H. Oh;E.J. Woo;G. Khang;S.Y. Lee;M.H. Cho;O. Kwon;J.R. Yoon;J.K. Seo
    • Journal of Biomedical Engineering Research
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    • v.23 no.4
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    • pp.269-279
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    • 2002
  • When we inject a current into an electrically conducting subject such as a human body, voltage and current density distributions are formed inside the subject. The current density within the subject and injection current in the lead wires generate a magnetic field. This magnetic flux density within the subject distorts phase of spin-echo magnetic resonance images. In Magnetic Resonance Current Density Imaging (MRCDI) technique, we obtain internal magnetic flux density images and produce current density images from $\bigtriangledown{\times}B/\mu_\theta$. This internal information is used in Magnetic Resonance Electrical Impedance Tomography (MREIT) where we try to reconstruct a cross-sectional resistivity image of a subject. This paper describes numerical techniques of computing voltage. current density, and magnetic flux density within a subject due to an injection current. We use the Finite Element Method (FEM) and Biot-Savart law to calculate these variables from three-dimensional models with different internal resistivity distributions. The numerical analysis techniques described in this paper are used in the design of MRCDI experiments and also image reconstruction a1gorithms for MREIT.

Magnetic analysis of a finite solenoid (유한 솔레노이드의 자속밀도 해석)

  • Lee, Ju-Hee;Hwang, Seon;Lee, Dong-Yeon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.10
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    • pp.6453-6457
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    • 2015
  • In this paper, the theoretical analysis for a solenoid with a finite length was verified by the finite element simulation. The solenoids are widely being used in the field of mechanical, industrial, medical industry due to their simple structure and fast responses. Solenoid actuators use an electromagnetic force. A magnetic field is formed around the solenoid coil when a current is applied. The magnetic force generated by the magnetic field enables an inside plunger to move linearly. The axial and radial magnetic fields (magnetic flux density, B) at a certain point were calculated from the Biot-Savart's law and compared with the simulation analysis from the ANSYS-Magnetostatic S/W. Comparison result, an error exists in the error range, and could therefore verify the accuracy.

DFSS-Based Design of a Hall-Effect Rotary Position Sensor (DFSS 를 이용한 홀 효과 기반 회전형 위치 센서의 설계)

  • Kim, Jae-Eun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.2
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    • pp.231-236
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    • 2012
  • This work presents the application of the DFSS (Design for Six Sigma) methodology to optimizing both the linearity and the sensitivity of the output voltage of a Hall-effect rotary position sensor. To this end, the dimensions and relative positions of a permanent magnet with reference to a Hall sensor are selected as the design factors for a full factorial design. In order to evaluate the output voltage of the rotary position sensor at each run in the experimental design, analytical solutions to the magnetic flux density were obtained using the Biot-Savart law and the relations between the magnetic flux density and the output voltage intrinsic to a Hall sensor. Through measurements of the improved output voltage of the rotary position sensors manufactured using the optimized design factors, the proposed method is shown to be simple and practical.

Induced Current Calculation in a Human Body Model due to Magnetic field in High Speed Railway (고속철도내 자기장에 의한 인체 모델에서의 유도 전류 계산)

  • Han, In-Su;Lee, Tae-Hyung;Park, Choon-Soo;Kim, Ki-Hwan
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.208-213
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    • 2008
  • In recent society, the quality of human life has improved due to the use of electric appliances and the high powered electrical equipments. However, lots of electric appliances and equipments generate the electromagnetic field hazard. Many studies have been made about the wrong behavior of machines due to electromagnetic fields, the interferences in communication equipments, the possibility of the electromagnetic field hazard in human body, etc. There exist international standards about the RF equipments (ex. mobile phone, antenna, etc.). But, many researchers involved in power frequency electric and magnetic field only propose the prudential avoidance. In this paper, induced currents in a human body model due to magnetic fields in high speed railway are calculated by two dimensional impedance method. Power frequency(60Hz) magnetic fields are calculated and induced currents are simulated by Faraday's law. Induced currents are simulated with induced voltage, human body model impedances due to Ohm's law, magnetic fields derived from Biot-Savart's law and Transmission Line Method in high speed railway.

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ELF Magnetic Field Calculation of High Speed Railway According to Condition of Train Operation (열차 운행조건에 따른 고속철도 주변의 극저주파 자기장 예측계산)

  • Myung, Sung-Ho;Lee, Jae-Bok;Kim, Jeom-Sik;Kim, Eung-Sik;Lee, Jong-Woo
    • Proceedings of the KIEE Conference
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    • 2001.11a
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    • pp.231-233
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    • 2001
  • 본 논문에서는 고속철도 급전계통 주변에서 여러가지 운전 조건하의 자계를 예측 계산하였다. 여기에서는 자계해석 방법으로 Biot Savart's law에 기반을 둔 해석식을 사용하였으며 대지 귀환회로를 계산과정에 포함하여 실제에 가까운 모델링을 하였다. 계산결과 열차 주변 지상 1m 부근의 플랫폼에서 자계의 크기그하였으며, 국제비전리방사보호위원회(ICNIRP)의 자기장 권고기준과 비교하여 평가하였다.

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Numerical Analysis of Unsteady Viscous Flow Through a Weis-Fogh Type Ship Propulsion Mechanism Using the Advanced Vortex Method

  • Ro Ki-Deok;Kang Myeong-Hun;Kong Tae-Hee
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.7
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    • pp.769-778
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    • 2005
  • The velocity and pressure fields of a ship's Weis-Fogh type propulsion mechanism are studied in this paper using an advanced vortex method. The wing (NACA0010 airfoil) and channel are approximated by source and vortex panels. and free vortices are introduced away from the body surfaces. The viscous diffusion of fluid is represented using the core-spreading model to the discrete vortices. The velocity is calculated on the basis of the generalized Biot-Savart law and the pressure field is calculated from an integral, based on the instantaneous velocity and vorticity distributions in the flow field. Two-dimensional unsteady viscous flow calculations of this propulsion mechanism are shown. and the calculated results agree qualitatively with the measured thrust and drag due to un-modeled large fluctuations in the measured data.

Numerical Analysis of Unsteady Viscous Flow through Ship's Propulsion Mechanism of Weis-Fogh Type by Advanced Vortex Method (최신 와법에 의한 Weis-Fogh형 선박추진기구의 비정상 점성 흐름의 수치해석)

  • Ro, Ki-Deok
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1407-1412
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    • 2004
  • The velocity and pressure fields of a ship's propulsion mechanism of Weis-Fogh type are studied by advanced vortex method. The wing of NACA0010 type and the channel are approximated by a finite of source and vortex panels, and the free vortices are introduced from the surface of their bodies. The viscous diffusion of fluid is represented by the core-spreading method. The velocity field is calculated on the basis of Biot-Savart law and the pressure field is calculated from the integration equation formulated by Uhlman. The flow fields of this propulsion mechanism are unsteady and complex, but the flow fields are clarified by numerical simulation.

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Design of High Temperature Superconducting Magnet with Magnetic Material (자성체를 포함하는 고온초전도 마그네트의 설계)

  • Jo, Young-Sik;Kwon, Young-Kil;Kim, Young-Kyoun;Lee, Geun-Ho;Hong, Jung-Pyo;Ryu, Kang-Sik
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.50 no.8
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    • pp.367-373
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    • 2001
  • This paper presents racetrack High Temperature Superconducting (HTS) magnet with iron plates to achieve the maximum current-carrying capacity and the simple shape that can easily be wound and jointed. On the basis of the magnetic field analysis using Biot-Savart's law and 3 Dimensional Finite Element Analysis (3D FEA), this study is focused on the function of iron plates, which is to obtain smaller B${\perp}$, and stress and strain condition of Ag-sheathed Bi-2223 37-filament HTS tapes are considered. Moreover, the measured performance of the magnet with iron plates improved by 50% on the basis of initial magnet.

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Investigations on the Induced Magnetic Fields in High Speed Train due to the Current in the High Speed Railroad Catenary Wire (고속철도의 가선전류에 의한 고속열차내의 자기장 유도에 대한 연구)

  • Han, In-Su;Lee, Tae-Hyung;Park, Choon-Soo;Kim, Ki-Hwan
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.36-40
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    • 2010
  • In recent society, the electricity is so essential for the human lives. Lots of modern people take many cultural benefits owing to the development of the power systems, the cell phone, the electrical appliances, and etc. However, the problems related to the electromagnetic field generate as the side effects. Examples are the fault in the electric machinery due to the electromagnetic coupling, the fault in the communication devices due to the electromagnetic field around the power line equipments, and the effect upon the human beings due to the electromagnetic field, and etc. In this paper, we induce the vector equation about the magnetic field based on Biot-Savart law. We calculate the magnetic field at the surface of the high speed train with this induced equation and the current in the high speed railroad catenary wire. Finally, we calculate the magnetic field in the high speed train considering the material property like the permeability, the conductivity, and so on.

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A Comparative Analysis of I-V Characteristics in a single Channel Superconducting Flux Flow Transistor (단일채널 고온초전도 자속흐름 트랜지스터의 I-V 특성 비교분석)

  • Ko, Seok-Cheol;Kang, Hyeong-Gon;Lim, Sung-Hun;Choi, Myong-Ho;Lee, Jong-Hwa;Han, Byoung-Sung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.07a
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    • pp.107-110
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    • 2003
  • We have proposed a model to describe the current-voltage characteristics of fabricated devices using the Biot-Savart's law in order to develop superconducting flux flow transistors, The measured and calculated values, including induced voltage, transresistance and current gain were investigated in relation to the parallel flow of the vortices in a single microbridge. The predictions agreed very well with measured results.

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