Several methods have been proposed in the literature for the calculation of self and mutual inductance. These methods include the use of complex integral analysis, the necessity of having primary and secondary coils with the same dimensions and the limitations of the ratio of the coil dimension to the distance between the coils. To overcome these restrictions, a new semi-analytical estimation method has been proposed in this paper. Calculation the self and mutual inductance by using the same basic formula which is based on Biot Savart Law prevents the formation of complex integrals and helps create a simple solution method. In order to verify the results obtained with the analytical approach, two hexagonal coils with 10 and 20 cm outer side lengths were produced by using litz wire with a conductive cross section of 1.78 mm². The results obtained with the new approach are compared with the finite element analysis, other work presented in the literature and experimental results in order to prove the accuracy of the proposed method.

文献中已经提出了几种用于计算自感和互感的方法。这些方法包括使用复杂的积分分析，必须使初级和次级线圈具有相同的尺寸以及线圈尺寸与线圈之间距离之比的限制。为了克服这些限制，本文提出了一种新的半解析估计方法。使用基于Biot Savart法则的相同基本公式来计算自感和互感，可以防止形成复杂的积分，并有助于创建简单的求解方法。为了验证通过分析方法获得的结果，使用导电横截面为1.78 mm的绞合线生产了两个外侧长度分别为10和20 cm的六角形线圈²。将新方法获得的结果与有限元分析，文献中介绍的其他工作和实验结果进行比较，以证明该方法的准确性。