中文摘要：

输出电势的数学模型是分析感应同步器误差及进行绕组优化设计的理论基础。传统的数学模型未考虑激磁绕组邻近效应引起的电流分布不均对输出电势的影响,从而会在高频下带来较大的谐波电势计算误差。建立了基于部分元等效电路方法的输出电势数学模型,研究激磁绕组的电流分布特性,计算了激磁绕组在不同工作频率、不同结构参数下感应绕组的输出电势,分析其位置函数的谐波成分,并提出消除谐波电势的途径。最后通过实验验证了模型的准确性。

英文摘要：

The mathematical model of output voltage is the theoretical basis for analyzing the errors of inductosyn and optimizing design of windings. For the current misdistribution caused by contiguity effect between the exciting windings not being taken into account in traditional mathematical model,the bigger calculation error of harmonic voltages is brought out when the high frequency alternating current flows in the exciting windings. A mathematical model of output voltage based on partial element equivalent circuit （PEEC） method was built,on the basis of which,current distribution characteristic of exciting windings was studied,the output voltages of induction windings were calculated in condition of different exciting frequency and different configuration parameters. The method to eliminate harmonic voltages was proposed by analyzing harmonic component of position function. The accuracy of the model was verified by experiment.