Direct BIE formulation for skin and proximity effect calculation with and without the use of the surface impedance approximation

Ahmed M.T.; Lavers J.D.

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Direct BIE formulation for skin and proximity effect calculation with and without the use of the surface impedance approximation

机译：使用和不使用表面阻抗近似值的直接BIE公式，用于皮肤和邻近效果计算

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The authors illustrate a new, direct BIE (boundary integral equation) formulation for skin and proximity effect calculations. The main advantage of the present formulation is that it is a logical extension of the well-known TM (transverse magnetic) induction formulation. The authors introduce the impedance boundary condition (IBC) approximation of the skin and proximity effect problems in terms of the conventional Fredholm boundary integral equations. Unlike previous formulations, the IBC approximation can be used with the external electric field equation, so the skin and proximity effect problem is formulated as an exterior problem. The method has been applied to test problems; reliable results were obtained both with and without the use of the IBC approximation.

机译：作者说明了一种新的直接BIE（边界积分方程）公式，用于皮肤和邻近效应计算。本配方的主要优点是它是众所周知的TM（横向磁）感应配方的逻辑扩展。作者根据常规Fredholm边界积分方程介绍了蒙皮和邻近效应问题的阻抗边界条件（IBC）近似。与以前的公式不同，IBC近似可与外部电场方程一起使用，因此趋肤和邻近效应问题被公式化为外部问题。该方法已应用于测试问题；使用和不使用IBC近似都获得了可靠的结果。

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《IEEE Transactions on Magnetics》 |1989年第5期|P.3937-3939|共3页
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Ahmed M.T.; Lavers J.D.;
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专利

1. BIE formulation for skin and proximity effect problems of parallel conductors [J] . Cao M., Biringer P.P. IEEE Transactions on Magnetics . 1990,第5期

机译：针对并联导体的趋肤效应和邻近效应问题的BIE公式
2. An Equivalent Surface Current Approach for the Computation of the Series Impedance of Power Cables with Inclusion of Skin and Proximity Effects [J] . Patel U.R., Gustavsen B., Triverio P. IEEE Transactions on Power Delivery . 2013,第4期

机译：考虑表皮和邻近效应的电力电缆串联阻抗的等效表面电流法
3. Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity [J] . Marc Bonnet Engineering analysis with boundary elements . 1995,第1期

机译：用于三维弹性的正则化直接和间接对称变分BIE公式
4. Regular direct bie formlatin of skin proximity effect calculation with and without the use of the surface impedance approximtion [C] . Ahmed, M.T., Lavers, . 1989

机译：在使用和不使用表面阻抗近似的情况下，定期直接计算皮肤邻近效应的形式
5. Measurement and calculation of individual head-related transfer functions using a boundary element model including the measurement and effect of skin and hair impedance. [D] . Katz, Brian Fredrick Gray. 1998

机译：使用边界元素模型对各个与头部相关的传递函数进行测量和计算，包括皮肤和头发阻抗的测量和影响。
6. First Principles Calculations on the Stoichiometric and Defective (101) Anatase Surface and Upon Hydrogen and H2Pc Adsorption: The Influence of Electronic Exchange and Correlation and of Basis Set Approximations [O] . Ruth Martínez-Casado, Milica Todorović, Giuseppe Mallia, 1970

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7. Surface-Impedance Boundary Conditions in Time-Domain Finite-Element Calculations Using the Magnetic-Vector-Potential Formulation [O] . Gyselinck J, Dular P, Geuzaine C, 2009

机译：使用磁矢量势公式的时域有限元计算中的表面阻抗边界条件
8. SOME APPROXIMATIONS TO ARNOLD'S FORMULAE FOR SKIN AND PROXIMITY EFFECT FACTORS FOR CIRCULAR OR SHAPED CONDUCTORS [R] . H. Goldenberg 1961

机译：aRNOLD公约对皮肤和接近导体的接近和接近影响因素的一些近似

Direct BIE formulation for skin and proximity effect calculation with and without the use of the surface impedance approximation

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