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Chapter 20: Ri

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1897
Section IDtheory-calculation-alternating-current-phenomena-1897-chapter-22
Locationlines 24560-25119
Statuscandidate
Word Count2224
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CHAPTER XXri. XFFBCTB OF HIOHXilt BAAHONICS. 223. To elucidate the variation in the shape of alternat- ing waves caused by various harmonics, in Figs. 159 and rig. reo. £jr«t •/ wp/. ho™ 160 are shown the wave-forms produced by the superposi- tion of the triple and the quintuple harmonic upon the fimdamental sine wave. § 223] EFFECTS OF JIIGHER HARMONICS. 335 In Fig. 159 is shown the fundamental sine wave and the complex waves produced by the superposition of a triple harmonic of 30 per cent the amplitude of the fundamental, under the relative phase displacements of 0°, 45°, 90°, 135°, and 180°, represented by the equations : s s s s s s n/3 — .3 s — .3 s — .3 s — .3 « — .3 s n3)3 n (3)3 n(3)3 n(3)3
CHAPTER XXri. XFFBCTB OF HIOHXilt BAAHONICS. 223. To elucidate the variation in the shape of alternat- ing waves caused by various harmonics, in Figs. 159 and rig. reo. £jr«t •/ wp/. ho™ 160 are shown the wave-forms produced by the superposi- tion of the triple and the quintuple harmonic upon the fimdamental sine wave. § 223] EFFECTS OF JIIGHER HARMONICS. 335 In Fig. 1 ...
... given effective current, are increased. In consequence hereof alternators and synchronous motors of ironclad unitooth construction — that is, machines giving waves with pronounced higher harmonics — give with the same number of turns on the armature, and the same mag- netic flux per field pole at the same frequency, a higher output than machines built to produce sine waves. 227. This explains an apparent paradox : If in the three-phase star-connected generator with the magnetic field constructed as shown diagrammatically in Fig. 162, the magnetic ...
... ouble peak, with sharp zero : sin /3 - .15 sin (3 p - 180°) - .10 sin 5 p. Sharp peak with sharp zero : sin 13 - .15 sin 3 /3 - .10 sin (5 /S - 180°). 224. Since the distortion of the wave-shape consists in the superposition of higher harmonics, that is, waves of higher frequency, the phenomena taking place in a circuit / 3o8 AL TERNA TIXG-CURREXT PHEXOMEXA. [§ 225 supplied by such a wave will be the combined effect of the different waves. Thus in a non-inductive circuit, the current and the potential difference across the different parts of ...
... n the fimdamental sine wave. § 223] EFFECTS OF JIIGHER HARMONICS. 335 In Fig. 159 is shown the fundamental sine wave and the complex waves produced by the superposition of a triple harmonic of 30 per cent the amplitude of the fundamental, under the relative phase displacements of 0°, 45°, 90°, 135°, and 180°, represented by the equations : s s s s s s n/3 — .3 s — .3 s — .3 s — .3 « — .3 s n3)3 n (3)3 n(3)3 n(3)3 n(3^ 45°) 90°) 135°) 180°). As seen, the effect of the triple harmonic is in the first figure to fl ...
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