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Chapter 15: Induction Motob

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1897
Section IDtheory-calculation-alternating-current-phenomena-1897-chapter-15
Locationlines 14919-17024
Statuscandidate
Word Count4895
Equation Candidates In Section0
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CHAPTER XV. INDUCTION MOTOB. 140. A specialization of the general alternating-current transformer is the induction motor. It differs from the sta- tionary alternating-current transformer in so far as the two sets of electric circuits — the primary or excited, and the secondary or induced, circuits — are movable with regard to each other ; and that in general a number of primary and a number of secondary circuits are used, angularly displaced around the periphery of the motor, and containing E.M.Fs. displaced in phase by the same angle. This multi-circuit arrangement has the object always to retain secondary cir- cuits in inductive relation to primary circuits, in spite of their relative motion. The result of the relative motion between primary and secondary is, that the E.M.Fs. induced in the secondary or the motor armature are
... o primary system ; if Ii = secondary current per circuit, /^ = _L a = secondary current per circuit reduced to primary system ; if r/ = secondary resistance per circuit, r, = a^ r^ = secondary resistance per circuit reduced to pri- mary system ; if Xx =- secondary reactance per circuit, Xi = a^ Xi^ = secondary reactance per circuit reduced to pri- mary system ; I 142] INDUCTION MOTOR. 209 if 0/ = secondary impedance per circuit, z^ = a^ z^ = secondary impedance per circuit reduced to pri- mary system ; that is, the number of secondary ...
... n the following discussion, as secondary quantities ex- clusively, the values reduced to the primary system shall be used, so that, to derive the true secondary values, these quantities have* to be reduced backwards again by the factor np «iA 142. Let * = total maximum flux of the magnetic field per motor pole. It is then E = V2ir«iV*10"® = effective E.M.F. induced by the mag- netic field per primary circuit. Counting the time from the moment where the rising magnetic flux of mutual induction * (flux interlinked with both electric circuits ...
... able with regard to each other ; and that in general a number of primary and a number of secondary circuits are used, angularly displaced around the periphery of the motor, and containing E.M.Fs. displaced in phase by the same angle. This multi-circuit arrangement has the object always to retain secondary cir- cuits in inductive relation to primary circuits, in spite of their relative motion. The result of the relative motion between primary and secondary is, that the E.M.Fs. induced in the secondary or the motor armature are not of the same freq ...
... bject always to retain secondary cir- cuits in inductive relation to primary circuits, in spite of their relative motion. The result of the relative motion between primary and secondary is, that the E.M.Fs. induced in the secondary or the motor armature are not of the same frequency as the E.M.F. impressed upon the primary, but of a frequency which is the difference between the impressed frequency and the frequency of rotation, or equal to the ** slip," that is, the difference between synchronism and speed (in cycles). Hence, if N = frequency of ma ...
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  • Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
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