REGULATING POLE CONVERTERS 449 Choosing pL = 0.04, or 4 per cent, loss of current, equation (25) gives, for the three-phase and for the six-phase converter: (a) no brush shift (n = 0) : *3° = 0.467, (30) *6° = 0.123; that is, in the three-phase converter this would require a third harmonic of 46.7 per cent., which is hardly feasible; in the six- phase converter it requires a third harmonic of 12.3 per cent., which is quite feasible. (b) 20° brush shift (rb = 20) : = 1 - 0.533 = i - 0.877 COS COS Ta COS (ra + for - COS Ta = 0, or no flux shift, this gives: £300 = 0.500, Z6°° = 0.176. (31) (32) COS (ra + TV,) Since ——-----L < COS Ta 1 for brush shift in the direction of armature rotation, it follows that shifting the brushes increases the third harmonic required to carry out the voltage regulation without increase of converter heating, and thus is undesirable. It is seen that the third harmonic, t, does not change much with the flux shift, ra, but remains approximately constant, and positive, that is, voltage raising. It follows herefrom that the most economical arrangement regarding converter heating is to use in the six-phase converter a third harmonic of about 17 to 18 per cent, for raising the vol- tage (that is, a very large pole arc), and then do the regulation by shifting the flux, by the angle, raj without greatly reducing the third harmonic; that is, keep a wide pole arc excited. As in a three-phase converter the required third harmonic is impracticably high, it follows that for variable voltage ratio the six-phase converter is preferable, because its armature heating can be maintained nearer the theoretical minimum by propor- tioning t and T^ 29 ixni it; Vf* fa ! \ m'