• Title/Summary/Keyword: biot-savart law

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Comparison of Biot-Savart's Law and 3D FEM in the Study of Electromagnetic Forces Acting on End Winding

  • Kim, Ki-Chan
    • Journal of Electrical Engineering and Technology
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    • v.6 no.3
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    • pp.369-374
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    • 2011
  • An induction motor operated with high voltage source generally generates high current in starting mode and has a long transient time after being started. This large and sustaining starting current causes the end windings of the stator to have excessive electromagnetic force. This force is the source of vibration and has a negative and serious influence on the insulation of end windings. Therefore, designing the end winding part with an appropriate support system is needed. To design the support ring enclosing the end windings, we analyze the distribution of electromagnetic force on the end windings by applying the Biot-Savart's law and the 3D finite element method (FEM), and comparing two simulation methods. Finally, we verify the safety of the support structure of the end winding part using stress analysis, which is analyzed with the electromagnetic forces from the 3D FEM simulation.

New Experimental Investigation of Magnetic and Electric Fields in the Vicinity of High-Voltage Power Lines

  • Ghnimi, Said;Rajhi, Adnen;Gharsallah, Ali
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.102-109
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    • 2016
  • In this paper, the theoretical and experimental characteristics of magnetic and electric fields in the vicinity of high voltage lines are investigated. To realize these measurements and calculations, we have developed some equations for two overhead power line configurations of 150 kV (single circuit, double circuit), based on Biot-savart law, image and Maxwell theories, in order to calculate the magnetic and electric fields. The measurements were done to a maximum distance from the tower of 50 m, at a height of 1m from the ground. These experiments take into consideration the real situations of the power lines and associated equipment. The experimental results obtained are near to that of the Biot-Savart theoretical results for a far distance from the tower; and for a distance close to the power line, the results from the image theory are in good agreement with the experimental results.

3-Dimensional Magnetic Field Analysis of Coil Using Biot-Savart Law Considering Singularity (특이점이 고려된 비오-사바르법을 이용한 3차원 코일의 자계 해석)

  • Song, Ho-Jun;Lee, Hyang-Beom
    • Proceedings of the KIEE Conference
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    • 2005.10c
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    • pp.104-106
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    • 2005
  • In this paper, 3-dimensional magnetic field of coil is analyzed by using biot-sarvart law considering singularity. The RMSP(reduced magnetic scalar potential) arc employed in order to reduce the number of unknown variables in FEM(Finte Element Analysis) or BEM(Boundary Element Method). It Is necessary to calculate magnetic field of souce current when RMSP is used. Biot-savart law is generally used. it is difficult to calculate the field when the source point is in inside the coil. To integrate using gaussian quadrature, the cross section of coil is divided considering the position of field point when field point is inside coil. The proposed method shows good agreement of magnetic field compared with FEMLAB, OPERA3D.

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FDTD 방법을 이용한 3T MRI용 RF 코일의 해석

  • 이종오;박준서;명노훈;박부식;김용권;정성택
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.6
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    • pp.976-983
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    • 2000
  • In this paper, Bridcage type RF coils used widely as RF coils for MRI and its applicable type, spiral type RF coil are analyzed and designed using FDTD method. In low tesla (IT, 1.5T) MRI system, several tools have been used for the analysis and design of the RF coils for MRI. This includes, so-called, LC equivalent circuit method for predicting the resonance frequency of the coil and the Biot-Savart law to determine the field distribution within the coil. Both of the circuit analysis and Biot-Savart law are low frequency techniques. Therefore, at high frequency applications, the circuit model approximation breaks down because the coil geometry is a significant fraction of the wavelength. In this paper, we analyzed and designed RF coils for 3T MRI using FDTD method. This method is a full wave analysis and very accurate at low and high frequencies. Also, this RF coils are actually fabricated and FDTD models of RF coils for MRI are proven.

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Aerodynamic Performance Prediction of Horizontal Axis Wind Turbine by Vortex Lattice Method (와류 격자법에 의한 수평축 풍력터빈의 공기역학적 성능예측)

  • 유능수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1264-1271
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    • 1990
  • The vortex lattice method was adopted to predict the aerodynamic performance of a horizontal axis wind turbine. For this simulation. the rotor blade was divided into many panels both in chordwise and spanwise direction and then replaced by horseshoe vortices. The wake was divided into two parts of near wake and far wake : the near wake was assumed as helical vortex line elements and the far wake was modeled by semi-infinite circular vortex cylinder. The induced velocity components were calculated by the Biot-Savart law. By this way the power coefficient was obtained and represented as a function of the tip speed ratio. The numerical results obtained were compared with those of the other methods and experimental results and showed good agreement with experimental results.

Evaluation of AC Resistance in Litz Wire Planar Spiral Coils for Wireless Power Transfer

  • Wang, Xiaona;Sun, Pan;Deng, Qijun;Wang, Wengbin
    • Journal of Power Electronics
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    • v.18 no.4
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    • pp.1268-1277
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    • 2018
  • A relatively high operating frequency is required for efficient wireless power transfer (WPT). However, the alternating current (AC) resistance of coils increases sharply with operating frequency, which possibly degrades overall efficiency. Hence, the evaluation of coil AC resistance is critical in selecting operating frequency to achieve good efficiency. For a Litz wire coil, AC resistance is attributed to the magnetic field, which leads to the skin effect, the proximity effect, and the corresponding conductive resistance and inductive resistance in the coil. A numerical calculation method based on the Biot-Savart law is proposed to calculate magnetic field strength over strands in Litz wire planar spiral coils to evaluate their AC resistance. An optimized frequency can be found to achieve the maximum efficiency of a WPT system based on the predicted resistance. Sample coils are manufactured to verify the resistance analysis method. A prototype WPT system is set up to conduct the experiments. The experiments show that the proposed method can accurately predict the AC resistance of Litz wire planar spiral coils and the optimized operating frequency for maximum efficiency.

Magnetic Field Analysis in Accordance with Line Configuration Type in Underground Transmission Systems (지중송전계통에서 선로의 구성방식에 따른 자계 해석)

  • Lee, Jae-Myeong;Lee, Jong-Beom
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.12
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    • pp.1673-1678
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    • 2015
  • This paper describes magnetic field on power cable in underground transmission systems. Based on specification which is being used in domestic power utility, magnetic field was analyzed in accordance with line arrangement, line burial depth and phase spacing. Magnetic field magnitude and its trend were understood in each circuit type such as double circuits, triple circuits and quadruple circuits of underground transmission systems. In addition, magnetic field was analyzed according to phase arrangement changing in each circuit. Finally, the proper phase arrangement configuration type was suggested by the evaluation of analysis result. Magnetic field was calculated by using Biot-Savart's law. According to the evaluated magnetic fields based on phase layout configuration in each circuit, it figured out that each of magnetic fields was different. As a result, this paper proposes a proper phase layout configuration for generating minimum magnetic field. It is evaluated that the phase layout configuration in each circuit proposed in this paper can be used at actual underground transmission systems.

Comparison of Uniformity of Calculated-magnetic Field in a Single-layer Solenoid with Multi-current by Using Elliptical Function and Legendre Polynomials (Elliptical 함수, Legendre 다항식을 이용한 단층, 다전류 솔레노이드의 자장균일도 비교)

  • 정정효;박포규;김윤배
    • Journal of the Korean Magnetics Society
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    • v.9 no.5
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    • pp.227-233
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    • 1999
  • The magnetic field in single-layer solenoid with multi-current is calculated using Elliptical function, Legendre polynomials and Biot-Savart law. The optimization conditions to a highly uniform magnetic field in the center of solenoid has been studied. The variation of magnetic field depending on radius difference was examined. The uniformity of magnetic field is compared with that obtained each multi-current method. The five-current method increases the working space within 0.02 ppm uniformity by eighty times that using single current method. And this method improves the magnetic field uniformity which is equivalent to the effect of 160 m long solenoid by using single current.

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Theoretical Analysis of Magnetic Flux Density Distribution in an Electro-Magnetic Chuck

  • Kim, Chung-Kyun
    • KSTLE International Journal
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    • v.2 no.2
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    • pp.114-119
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    • 2001
  • The distribution of magnetic flux density of electro-magnetic chucks may clarify the clamping characteristics, which is strongly related to the machining efficiency and machining accuracy in surface grinding machine. Therefore the distribution of the normal and the tangential components of magnetic flux density have been analyzed theoretically. It appears that the normal component of magnetic flux density increases and the tangential component of magnetic flux density increases as the ratio of the separator width to the pitch, e/p decreases. The results seem to increase the stability and uniformity of normal component of magnetic flux density for the decreased e/p.

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ELF 3D Magnetic Field Calculation and Elliptical Characteristic around Transmission Lines (송전선로 주변의 3차원 자기장 계산 및 elliptical 특성)

  • Myung, Sung-Ho;Kim, Sang-Beom;Shin, Koo-Yong;Lee, Dong-Il
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.347-349
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    • 2001
  • 본 논문에서는 극저주파 전자계 장해의 공학적 평가에 있어 기본이 되는 송전선 주변의 3차원 자기장 예측기법에 대하여 기술하였다. 송전선 주변의 무한영역 극저주파 자기장 계산을 위해서는 Biot-Savart's law에 의한 3차원 자기장 해석방법을 사용하였으며 교류자계 벡터의 중요한 파라미터인 elliptical polarized 특성에 대하여도 고찰하였다.

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