分数槽绕组的谐波计算

Harmonic Calculation of Fractional Slot Windings

叙述三相交流电机分数槽绕组的谐波计算方法:公式法、投影法、相位图法。公式列出A、B两组,主波分别为P0次和1次。相邻槽距J的计算式中,分子取+1或-1,可以得到两个J。各槽相量先投影后归并计算,即解析计算法。相位图上各相量归并后直接计算,即投影法。对分数槽正弦绕组叙述了投影法、公式法。分数槽正弦绕组谐波幅值很低,其谐波次数的规律仍旧同整数槽,举例说明d为偶数时有偶次谐波,并非只有非3倍数的奇次谐波。

This paper describes harmonic calculation methods of fractional slot windings of three-phase AC motor： formula method, projection method and phase diagram method. The for- mula method is to list A group and B group, and the main waves are of P0 order and 1 order re- spectively. In the formula of adjacent slot space J, two J can be obtained when numerator takes ＋ 1 or - 1. The projection method is to merge and calculate the phase of each slot. The phase diagram method is to merge and directly calculate the phase of each slot in phase diagram. For the fractional slot sine windings, this paper describes projection method and formula method. The harmonic amplitude of this method is very low, and the law of harmonic order is still the same as that of integer slot. It is illustrated that even harmonic exist in windings when d is even, but not only odd harmonic without 3 multiple.