多圈共轴线圈产生错位对激励磁场的影响

摘要

研究了多圈共轴线圈产生错位情况下其在空间激励磁场的分布变化，用最基本的毕奥-萨伐尔定律和叠加定理推算出磁场公式，并借助MATLAB软件计算出磁感应强度变化的数值解，绘制出线圈轴上和中心平面上的磁场变化分布图等。由此判断出磁感应线圈缠绕规则性对激励磁场分布的影响，对于一定精度磁场的产生给出合理的理论建议。计算结果表明，线圈偏移量与平均半径比值不大于0.04时，轴上磁感应强度变化在10—11 T量级，中心平面上磁场相对变化不超过1%。%The magnetic field distribution varies with the dislocation of multiple coaxial coils. The basic Biot-Savart Law and the superposition theorem is applied to work out the calculation formulas of the magnetic field. Furthermore,the numerical solution of the variation magnetic induction were calculated using MATLAB,and the field plots were drew. Based on these,the effects of the coil winding rules on the magnetic field distribution is judged and reasonable theory suggests about the magnetic field incentive is given. Calculation results show that the variation of axial magnetic induction is the order of 10—11 T,and the relative change of magnetic field on center plan is less than 1%,while the ration of coil offset and average radius is not more than 0. 04.