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Apparatus Section 8: Alternating-current Transformer: Autotransformer

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FieldValue
SourceTheoretical Elements of Electrical Engineering
Year1915
Section IDtheoretical-elements-electrical-engineering-section-105
Locationlines 18666-18812
Statuscandidate
Word Count920
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VIII. Autotransformer 126. If in a transformer a part of the secondary winding is used as primary, or inversely, the transformer is an autotrans- former, sometimes also called compensator. Thus let in a transformer Fig. 172 primary current, voltage and turns be respectively ii, e^ ni, and secondary current, voltage and turns be t'2, e2, n2, thus the ratio of transformation a = — • n2 Assuming HI > nz, then in any n2 of the HI primary turns, the same voltage is induced as in the n2 secondary turns, and we could thus 300 ELEMENTS OF ELECTRICAL ENGINEERING use any n2 primary turns as secondary turns, provided we make them of sufficient copper section to carry the secondary current. The n2 turns in Fig. 173 thus are in common to primary and secondary circuit.
... is sufficient) a transformer of (ei — e^) X i\ primary, and ez X (i* — ii) secondary circuit. The regulation of an autotransformer is better, and the effi- ciency higher, than that of the same structure as transformer, and the per cent, reactance lower, that is the short-circuit current higher in the autotransformer than in the same structure as transformer. Very often it is difficult to build autotransformers with sufficiently high internal reactance, to make them safe under momentary ...
... ns and turn sections, that is, by e\ X ii + £2 X iz FIG. 172. — Diagram of trans- former. FIG. 173. — Diagram of auto- transformer. (the turns being proportional to the voltage, the turn section to the current, the same magnetic flux assumed). But since 61 = aez and i\ = — , e\i\ = e2i2, and the size of the transformer Fig. 172 thus is proportional to 2 e-#2, that is, to 2 P, or twice the output. In the autotransformer Fig. 173, the nz common tur ...
... remaining part of the winding, of n\ — n2 turns, that is, of voltage e\ — e2) is traversed by the primary current ii, hence of size i\ (e\ — e2), and the total size of the autotransformer thus is : 62 (*2 — ii) + i\ (e\ — e2) ALTERNATING-CURRENT TRANSFORMER 301 but, substituting again for ii and ei, gives as the size of the auto- transformer: (ae2 - es) = 2 -"•('-3 hence, the ratio of size of autotransformer and of transformer of the same output, is: _ autotransformer ...
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  • Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
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  • Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
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