稀疏螺线管自感系数的计算

A Formula for Calculating the Self-inductance of a non Tightly-wound Solenoid

文献上所载计算螺线管(或线圈)自感系数的理论或经验公式址只适用于密绕的情况,如将其使用在稀疏(大螺距)的情况下,将会出现较大的计算误差;本文作者由电磁理论推导了一个适用于计算大螺距螺线管自感的理论公式。这个公式是一个有约束条件的二重积分,不能得到解析结果,因此本文提出了用 Monte Carlo 方法来求取积分的近似值。文中并对导出的理论公式的正确性作了实例分析。

For calculating the self-inductance coefficient of a cylindrical solenoid,there are several empirical formulas published.However,they are only suitable for tightly-wound siluations.Large errors will occur if they are used arbitrarily for (?)on tightly-wound solenoids.In solving this problem,the author of this paper deduced a formula based on electromagnetic theory,It is a double integral with a constraint condition,and can be used asa useful fundamental formula in this respect. The author then proposed to find the numerical value of such an iutegral using the Monte Calro method.Several examples and comparisons with the empirical formulas as mentioned before in this abstract are also presented at the end of this paper.