A mathematical model based on the magnetic energy theory was established to solve the problem of the complexity of the axial magnetic mechanism torque calculation .Under the condition that the permanent magnet vol-ume was constant , the authors analyzed the relationship between the relative rotational angle difference , the working gap, magnetic flux leakage coefficient and the transmission torque .The analysis results showed that the value of the work gap and the magnetic flux leakage coefficient should be as small as possible for meeting the structure condi -tions, and when the relative rotational angle difference was 4.2°, the transmission torque of the axial magnetic drive mechanism reached a maximum value .In the experiments , magnets were arranged in a push-pull combined arrange-ment mode.When the magnetic flux leakage coefficient was 4, the relative error was within 3.5%between the cal-culated and measured values of the extremums of the drive torque .There exists a complex coupling relationship be-tween the relative rotational angle difference , the working gap , the magnetic flux leakage coefficient and the trans-mission torque .The data results of the model analysis provide a theoretical basis for the optimal design of the axial magnetic drive mechanism .The model was applied to the multi-twisting spindles , and the results showed that the mathematical model of the axial magnetic drive mechanism torque calculation based on the magnetic energy theory is simple and effective .%为了解决轴向磁力机构传动力矩模型计算复杂的问题，采用磁能理论建立力矩计算模型．在永磁体体积恒定的条件下，分析相对转角差、工作间隙、漏磁系数与传动力矩的关系，分析结果表明在工作间隙和漏磁系数在结构允许条件下应取极小值，相对转角差为4．2°时，轴向磁力驱动机构传递力矩达到极大值．实验时，磁体排列采用组合推拉排列，漏磁系数取4时，在不同工作气隙时，传动力矩极值的计算值与实验值相对误差在3．5％内．由于相对转角差、工作间隙与漏磁系数与传动力矩之间存在复杂耦合关系，模型分析数据结果为轴向磁力机构的优化设计提供理论依据．将模型应用于多倍加捻锭子，结果表明轴向磁力机构传动力矩计算的数学模型简单、有效．
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