空心电抗器参数的精确性解析研究

Analytical Study on the Accuracy of Parameters of Air-core Reactors

从电气模型上看,空心电抗器可以看成是有限轴长的通电螺线管,运用毕奥-萨伐尔定律对其进行解析分析会获得椭圆积分,但其无法用初等函数表示,故长期以来空心电抗器的磁场分布以及参数计算无解析解。对空心电抗器参数的精确解析计算问题进行了分析,通过换元积分方法研究解析求解矢量磁位的方法,进而获得空心电抗器电感参数的解析计算方法。

The air-core reactor can be regarded as an electrified solenoid with finite shaft length in terms of the electrical model.The elliptic integral can be obtained by using Biot-Savart law for analysis but it cannot be expressed by elementary functions.Therefore,there is no analytical solution for the magnetic-field distribution and parameter calculation of air-core reactor for a long time. In this paper,the exact analytical calculation of the parameters of air-core reactors is analyzed,and the method of solving the vector magnetic potential is studied with substitution integral and then the analytic calculation method of the inductance parameters of air-core reactors is obtained.