Analytic calculation method for self-inductance value of air-core reactor

The invention discloses an analytic calculation method for a self-inductance value of an air-core reactor, and aims to develop an elementary function expression formula of a hollow solenoid and solve a calculation problem of a corresponding magnetic field of a transformer substation. By integral transformation, the direct magnetic density analysis is avoided to acquire the analytical formula of the vector magnetic potential. The analytical calculation method of self-inductance of the vector air-core reactor is acquired to replace a finite element numerical solution method. The invention provides a method for determining size parameters, winding parameters and inductance values of the air-core reactor. Therefore, calculation time and calculation resources are saved. 本发明公开了一种空心电抗器自感值的解析计算方法，如何开发一种空心螺线管的初等函数表示公式，解决变电站相应磁场的计算问题；本专利另辟蹊径，通过巧妙的积分变换，绕开直接的磁密分析，获得矢量磁位的解析式，进而获得矢量空心电抗器自感值的解析计算方法，以替代有限元数值解法，本发明提供空心电抗器尺寸参数、绕组参数与电感数值之间的确定方法，从而节省计算时间及计算资源。