【目的】旨在深入探索分数槽集中绕组(FSCW)分布系数计算过程中的高效性与准确性问题，进而提出具有统一适用性的分布系数计算式。【方法】本研究聚焦于FSCW的分布系数，在研究方法的构建上，创新性地提出并详细对比了3种分布系数的计算方法：定义法采用经典的绕组系数理论框架，通过傅里叶分解及分布系数的基本定义推算出计算式;谐波合成法则基于空间磁势矢量叠加原理，建立多极对数坐标系下的矢量叠加模型;相量合成法将时域相量概念引入空间谐波分析，构建了复数域内的绕组分布表征方法。以理论分析和数值计算作为基础，同时结合实际算例进行分析，归纳出不同方法的原理、适用范围以及计算特点。【结果】通过对3种不同槽极配合的典型实例展开精确计算，结果表明3种计算方法所得到的数值大小完全一致。【结论】定义法仅考虑各次谐波磁动势相量幅值大小，而无法对各次谐波合成磁动势在轴线位置的峰谷分布情况进行有效分析，谐波合成法和相量合成法不仅充分考虑了合成磁动势相量的幅值，还兼顾了其方向，因而能够用于准确判断各次谐波合成磁动势的峰谷情况。3种方法从不同角度进行推导，得出3种不同计算式，适用于不同情况下的分布系数计算，为FSCW的优化设计提供了理论依据。

[Objective] This study aims to explore the efficiency and accuracy of distribution coefficient calculations for fractional-slot concentrated winding (FSCW) to further propose universally applicable calculation formulae. [Methods] Focusing on the distribution coefficients of FSCW, three innovative methods for calculating the distribution coefficient were proposed and comprehensively compared. The definition method, based on the classical theory of winding coefficients, derived the calculation formula through Fourier decomposition and the fundamental definition of the distribution coefficient. The harmonic synthesis method, utilizing the superposition principle of spatial magnetomotive force vectors, established a vector superposition model in a multi-pole-pair coordinate system. The phasor synthesis method incorporated the concept of time-domain phasors into spatial harmonic analysis to develop a winding distribution characterization method in the complex domain. Using theoretical analysis and numerical calculations as the basis, combined with analysis of case studies, the principles, applicability, and calculation characteristics of each method were summarized. [Results] Precise calculations for three typical slot-pole combinations were conducted. The results showed that the numerical values obtained from all three calculation methods were identical. [Conclusion] The definition method considers only the harmonic magnetomotive force amplitudes, but fails to effectively analyze the peak and valley distribution of the synthesized magnetomotive force along the axis. The harmonic synthesis method and phasor synthesis method incorporate both the amplitude and direction of the synthesized magnetomotive force phasors, thereby making them suitable for accurately determining the peak and valley distributions in the synthesized magnetomotive force harmonic. Derived from different perspectives, the three methods provide three distinct calculation formulae applicable to various distribution coefficient calculations, providing a theoretical basis for optimizing the design of FSCW.

江苏省配电网智能技术与装备协同创新中心开放基金项目资助(XTCX202405);江苏省研究生科研与实践创新计划(SJCX24_1305)