S YNCHRONO US RECTIFIER 255 rectifying commutators are connected in series, as shown in Fig. 119. This represents two quarter-phase rectifiers in series displaced from each other by 45°, that is, an eight-phase system. Three-phase star-connected rectification, Fig. 106, has been used in the Thomson-Houston arc machine, and quarter-phase rectification, Fig. 108, in the Brush arc machine, and for larger powers, several such commutators were connected in series, as in Fig. 119. These machines are polyphase (constant-current) FIG. 120.—Counter e.m.f. shunting gaps of six-phase rectifier. alternators connected to rectifying commutators on the armature shaft. For a more complete discussion of the rectification of arc machine see " Theory and Calculation of Transient Electric Phenomena/7 Section II. 145. Even with polyphase rectification, the power which can be rectified is greatly limited by the sparking caused by the dif- ferential current, that is, the difference between the rectified current, i0, which never reverses, but is practically constant, and the alternating supply current. Resistances shunting the gaps between adjoining segments, as byepath for this differential cur- rent, consume power and mitigate the sparking to a limited extent only. A far more effective method of eliminating the sparking is by shunting this differential current not through a mere non- inductive resistance, but through a non-inductive resistance which contains an alternating counter e.m.f. equal to that of the supply phase, as shown diagrammatically in Fig. 120. In Fig, 120, ei to e6 are the six phases of a ring-connected six- phase system; e\ to e\ are e.m.fs. of very low self-inductance