Approximate Closed-Form Formula for Calculating Ohmic Resistance in Coils of Parallel Round Wires With Unequal Pitches
Approximate Closed-Form Formula for Calculating Ohmic Resistance in Coils of Parallel Round Wires With Unequal Pitches
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DOI：
10.1109/tie.2014.2370943
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发表时间：
2015-06-01
影响因子：
7.7
通讯作者：
Park, Young-Jin
中科院分区：
文献类型：
--
作者：
Kim, Jinwook;Park, Young-Jin
给出了不等节距圆形多回路线圈欧姆电阻的近似闭式计算公式。公式中考虑了趋肤效应和邻近效应。邻近效应表示为使用施加于导线的横向磁场从其余导线获得的邻近系数。为了验证，将等间距导线最小电阻的最优尺寸与以前的结果进行了比较，两者结果基本一致。应用该公式计算了螺旋线圈和螺旋线圈的欧姆电阻，并通过二维有限元模拟进行了验证。计算结果和仿真结果也是一致的。作为实际应用，设计了具有均匀互感的不等节距螺旋线圈，并利用该公式对其进行了优化。所设计线圈的欧姆电阻的测量结果也与计算和模拟结果相吻合。结果表明，该公式可以很好地应用于无线功率传输系统中欧姆损耗最小的圆形多环线圈的设计。
An approximate closed-form formula for calculating the ohmic resistance of a circular multiloop coil with unequal pitches is presented. Skin effect and proximity effect are included in the formula. The proximity effect is expressed as a proximity factor obtained using transverse magnetic fields applied to a wire from the rest of the wires. For verification, the optimum dimension for minimum resistance of wires with an equal pitch is compared with the previous results, and both results agree. The formula is applied to calculate the ohmic resistance of helical and spiral coils and is verified by a 2-D finite-element-method simulation. Both calculation and simulation results are consistent as well. As a practical application, a spiral coil with unequal pitches is designed for uniform mutual inductance, and it is optimized for the lowest resistance using the formula. The measured ohmic resistance of the designed coil also agrees with the calculated and simulated results. The results show that the formula can be well applied to designing circular multiloop coils with minimum ohmic loss in wireless-power-transfer systems.