n n \\i\\ ! 436 ELECTRICAL APPARATUS half intensity, to zero, reversing it to half intensity, to full in- tensity, and to such intensity that the fundamental disappears, then are given by: ter pa of pole density (1) (2) 13) full, e = 0.5, e = 6i-0.5e2 o, c = -0.5 c = (5) - full, e = ei-2 (6) -1.17, = 0.960 A {cos 0+0.077 cos 3 8 +0.0065 cos 5 6 - 0.0084 cos 7 6 . =0.755 A {cos 0+0.168 cos 3 0 - 0.0144 cos 5 0-0.0085 cos 7 Q. = 0.549 A {cos 0+0.328 cos 3 0 -0.053 cos 5 0-0.084 cos 70. . = 0.344 A {cos 0 +0.680 cos 3 0 -0.131 cos 5 0-0.0084 cos 70. . = 0.138 A {cos 0+2.07 cos 3 0 -0.45 cos 5 0-0.008 cos 70. . . = 61 -2.34 e2 = 0.322 A {cos 3 0-0.227 cos 5 0. •1.5 e-> It is interesting to note that in the last case the fundamental frequency disappears and the machine is a generator of triple frequency, that is, produces or consumes a frequency equal to three times synchronous frequency. In this case the seventh harmonic also disappears, and only the fifth is appreciable, but could be greatly reduced by a different kind of pole arc. From above table follows: (1) (2) (3) (4) (5) (6) normal Maximum funda- mental alter- 0.960 0.755 0.549 0.344 0.138 0 0.960 nating volts ... Direct volts ...... 1.033 0.883 0.743 0.578 0.423 0.322 0.960 237. It is seen that a considerable increase of direct voltage beyond the normal ratio involves a sacrifice of output, due to the decrease or reversal of a part of the magnetic flux, whereby the air-gap section is not fully utilized. Thus it is not advisable to go too far in this direction. By the superposition of the third harmonic upon the funda- mental wave of the Y voltage, in a converter with three sections per pole, thus an increase of direct voltage over its normal voltage can be produced by lowering the excitation of the middle section and raising that of the outside sections of the field pole, and also inversely a decrease of the direct voltage below its normal value by raising the excitation of the middle section