多线圈串接时总自感系数的计算

The Calculation of the Total Inductance When Several Series-wound Loops Are Connected

多线圈串联线圈的总自感一般采用实验方法测定,本文尝试从理论上计算多线圈串联线圈的总自感,即由两个串联线圈的顺接和反接电动势推导多个串联线圈在顺接和反接两种连接时的总自感的计算公式.计算结果:串联顺接时为L=sum i=1 to n Li+∑i,j=1(i≠j)Mij;串联反接时为L=sum i=1 to n Li+∑M顺接-∑M反接.

The total inductance with several series-wound loops connected is generally determined by experimental methods. This essay talks about how to deduce the calculation formulas of total inductance when several series-wound loops are connected orderly or in the opposite order by the electromotive force of two series-wound loops connected orderly or in the opposite order. The calculation results： L=∑i=1 ^ n Li＋∑i,j=1（i≠j）Mij when several series-wound loops are connected orderly; L=∑ i=1 ^ n Li＋∑M顺接-∑M反接 when several series-wound loops are connected in the opposite order.