脉冲变压器锥形绕组感应系数矩阵简化计算方法
Simplified method for calculating taper winding’s induction coefficient matrix of pulse transformer
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摘要: 在进行脉冲变压器多匝数（实际变压器绕组匝数多达4000以上）锥形绕组电压分布仿真时，绕组感应系数矩阵巨大的计算量是制约其实现的瓶颈之一。为了克服此瓶颈，研究了绕组感应系数矩阵的规律性，指出感应系数存在端部效应，且线圈间的互有感应系数随间距衰减很快。在此基础上提出了脉冲变压器锥形绕组感应系数矩阵的简化计算方法，对多匝数绕组,该方法能传统方法所需的n(n+1)/2步减少至2n+25（n为绕组匝数），大大减少了计算量，使多匝数绕组的仿真计算成为可能。Abstract: The calculation of the voltage distribution of pulse transformer’s taper winding with more than 4 000 turns is difficult, for the workload of calculating induction coefficient matrix is very heavy. In order to reduce the workload, the characteristics of the induction coefficient matrix were studied. The reults show that the self-induction coefficient of the middle turns of the taper winding increase linearly except for the end turns and the mutual induction coefficient decrease rapidly with the inturn-distance increasing. A simplified method for the simulation of multi-turns tape winding is brought forward, which can reduce the calculation steps from n(n+1)/2 to 2n+25, where n is the turns of the winding.
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