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Embedded Ring-Type Inductors Modeling With Application to Induction Heating Systems

机译:嵌入式环形电感器建模及其在感应加热系统中的应用

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We derive integral expressions of the equivalent impedance of ring-type coils for induction heating systems. These expressions are obtained by integrating the analytical solution of the field generated by a circular filamentary current placed between two linear and homogeneous semi-infinite media. Constant current density is assumed for the coils, since they are wound with an appropriate Litz wire. The model also gives the magnetic field in the cross section of the windings, which is necessary to calculate the proximity losses in the cables. The solution is given in terms of Bessel function integrals, showing an improvement of the convergence with respect to the filamentary model solution. We constructed several prototypes having different turns and layers and tested them with different substrates. Our measurements confirm the validity of the analytical models.
机译:我们推导了感应加热系统中环形线圈的等效阻抗的积分表达式。这些表达式是通过对由放置在两个线性均质半无限介质之间的圆形丝状电流产生的场的解析解进行积分而获得的。假定线圈的电流密度恒定,因为它们用适当的李兹线绕制。该模型还给出了绕组横截面中的磁场,这对于计算电缆中的接近损耗是必需的。该解决方案以贝塞尔函数积分的形式给出,相对于丝状模型解决方案,其收敛性得到了改善。我们构建了几个具有不同匝数和层数的原型,并使用不同的基板对其进行了测试。我们的测量证实了分析模型的有效性。

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