TransactionsPublished under the care of the General Secretary and the Treasurer . cupying along the entrefera breadth of 1/12 of the field, or 1/6 of the polar pitch, and having asmedian line the old outline of the single bobbin which it replaces. 21. See my above-mentioned memoir of 1899 upon Rotating Mag-netic Fields; see also Arnold and Vorausberechnung der Ein-und Mehrphasenstromgeneratoren. Stuttgart, 1901. BLONDEL: ARMATURE REACTIONS. 659 then demonstrated that the magnetic potential produced hy a poly-phase winding of q phases is independent of the number of phasesand depends o
TransactionsPublished under the care of the General Secretary and the Treasurer . cupying along the entrefera breadth of 1/12 of the field, or 1/6 of the polar pitch, and having asmedian line the old outline of the single bobbin which it replaces. 21. See my above-mentioned memoir of 1899 upon Rotating Mag-netic Fields; see also Arnold and Vorausberechnung der Ein-und Mehrphasenstromgeneratoren. Stuttgart, 1901. BLONDEL: ARMATURE REACTIONS. 659 then demonstrated that the magnetic potential produced hy a poly-phase winding of q phases is independent of the number of phasesand depends only upon the total number of wires N per doublefield, and that is represented by a sinusoid whose amplitude is 22iV7o. The mean potential in the entrefer is therefore -^ and the equivalent mean magnetomotive force producing thereactive flux on closed circuit 4 = 5:-Si^A = X ?^ r- that is to say, (4/-)- of the magnetomotive force which will givethe same turns if they coincide in position and phasa In thiscase the sinusoid of potential (Fig. 16) is entirely used and thti. Fig. 16. direct reaction is proportional to the mean ordinate of the areaA3B, and the transverse reaction to that of the area , on the contrary, the reactive flux only occupies a part 5 ofthe pitch instead of A 5 as indicated by the dotted intersectinglines in the figure, the reactions will be proportional to the meanordinates of the areas 12345 and 67B89 respectively, limited tothe breadth of the flux (which may be different moreover for thetransverse flux from what it is for the direct flux). By integratingthe area of the sinusoid from HS on to 54 one finds Ordinate of area 12345 = -^ „_ , A 2— Z. Ordinate of area 67589 = A cos. X 2 L 2 a;j The coefiQcients which apply to the ampere-turns, resulting froma restriction of the flux, are then respectively for K and K^ (UO BLOKDEL: ARMATURE REACTIONS. —r- sin. I — COS. and have the following values for example (not including k) d / 2for --= ^
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