空心电抗器电感的解析计算

Analytical Calculation of the Inductance of Air-Core Reactors

在空心电抗器的设计中,一个重要的技术参数就是电感的计算。通过将电抗器绕组内部及周围的磁感应强度划分成径、轴向两个分量,再将绕组中间段(xoy面上的绕组)内部沿径向均匀划分,将薄绕组表面沿轴向均匀划分,准确地计算出了穿过整个薄绕组的总磁通量和穿过每份绕组的磁通量,再由磁通量计算感应电势,由感应电势计算电抗器的自感和互感。给出了空心电抗器电感及互感计算的程序框图和计算实例,计算结果表明了该方法的准确性和实用性。

For the design of air-core reactors,one important parameter was the calculation of the inductance. First we divided the flux density all around the air-core reactor into the radial component and the axial component, then divided enenly the coil interior among xoy-surface along the radial direction, and divided enenly the coil surface along the aixial direction. The total flux cross over the whole coils and the flux cross over the every coil were computed out accurately. The induced potential was calculated by the flux. The self-inductance and mutual inductance were calculated by the induced potential. The flow program and a calculating example of the inductance and mutual inductance of the air core reactors were given out. The computed result showed that this method had a high accuracy and practicability.