架空电力线与地下电信电缆间的互感系数

传输线路之间的互感系数是计算纵电动势和纵电压的重要参量。国际电话电报咨询委员会防护导则给出了含无穷积分的互感系数的基本表达式，虽然“架空–架空”、“地下–地下”的互感系数已经用贝塞尔函数解决，但至今“架空–地下”的互感系数求解尚未解决。为解决这一问题，作者经过理论推导，证明互感系数表达式中的无穷积分可以用已知的聂曼函数和斯特鲁夫函数的互感系数来表示，从而解决了“架空–地下”的互感系数数值计算问题。

Mutual Inductance Coefficient between Overhead Power Line and Underground Communication Cable

Mutual inductance coefficient between transmission lines is an important parameter for the calculation of longitudinal electromotive force and longitudinal voltage. The directives concerning the protection of telecommunication lines against harmful effects from electricity lines specified by Comite Consultatif Internationale de Telegraphique et Telephonique (CCITT) give basic representation of mutual inductance coefficient which contains infinite integral. Although the coefficients between overhead lines as well as that between underground cables are solved by Bessel functions, however up to the present the solution of mutual inductance coefficient between overhead line and underground cable is still not solved. To solve this problem, by means of theoretical derivation, it is proved that above mentioned infinite integral in basic representation of mutual inductance coefficient can be represented by known Neumann function and Struve function, thus the numerical calculation of mutual inductance coefficient between overhead line and underground cable is solved.