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Chapter 26: Effects Of Higher Harmonics

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1916
Section IDtheory-calculation-alternating-current-phenomena-chapter-26
Locationlines 32540-33010
Statuscandidate
Word Count2204
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Figure Candidates In Section2
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CHAPTER XXVI EFFECTS OF HIGHER HARMONICS 251. To elucidate the variation in the shape of alternating waves caused by various harmonics, in Figs. 185 and 186 are shown the wave-forms produced by the superposition of the P44S4t 4i' Fig. 185. triple and the quintuple harmonic upon the fundamental sine wave. In Fig. 185 is shown the fundamental sine wave and the com- plex waves produced by the superposition of a triple harmonic of 30 per cent, the amphtude of the fundamental, under the rela- 24 369 370 AL TERN A TING-C URREN T PHENOMENA tive phase displacments of 0°, 45°, 90°, 135°, and 180°, repre- sented by the equations: sin /3 sin |8 - 0.3 sin 3 /S sin /3 - 0.3 sin (3 /3 - 45°) sin /3 - 0.3 sin (3 /3 ~
CHAPTER XXVI EFFECTS OF HIGHER HARMONICS 251. To elucidate the variation in the shape of alternating waves caused by various harmonics, in Figs. 185 and 186 are shown the wave-forms produced by the superposition of the P44S4t 4i' Fig. 185. triple and the quintuple harmonic upon the fundamental sine wave. In Fig. 185 is shown the fundamental sine wave and the com- ple ...
... th a given effective current are increased. In consequence hereof alterna- tors and synchronous motors of iron-clad unitooth construction — that is, machines giving waves with pronounced higher harmonics — may give with the same number of turns on the armature, and the same magnetic flux per field-pole at the same frequency, a higher output than machines built to produce sine waves. 255. This explains an apparent paradox: If in the three-phase star-connected generator with the mag- netic field constructed as shown diagrammatically in Fig. 188 the ma ...
... (3 /S - 135°) sin ^ - 0.3 sin (3 ^ - 180°). ^^.^. 4i^ ft Fig. 186. As seen, the effect of the triple harmonic is, in the first figure, to flatten the zero values and point the maximum values of the wave, giving what is called a peaked wave. With increasing phase displacement of the triple harmonic, the flat zero rises and gradually changes to a second peak, giving ultimately a flat-top or even double-peaked wave with sharp zero. The intermediate positions represent what is called a saw-tooth wave. In Fig. 186 are shown the fundamental sine wave ...
... s the different parts of the circuit are of the same shape as the impressed e.m.f. If inductive reactance is inserted in series with a non-inductive circuit, the self-inductive reactance consumes more e.m.f. of the higher harmonics, since the reactance is proportional to the frequency, and thus the current and the e.m.f. in the non-inductive part of the circuit show the higher harmonics in a reduced amplitude. That is, self-inductive react- ance in series with a non-inductive circuit reduces the higher harmonics or smooths out the wave to a closer resembl ...
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theory-calculation-alternating-current-phenomena-fig-1854i’ Fig. 185. triple and the quintuple harmonic upon the fundamental sine wave.line 32554
theory-calculation-alternating-current-phenomena-fig-186ft Fig. 186. As seen, the effect of the triple harmonic is, in the first figure, to flatten the zero values and point the maximum values of theline 32594
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