Capacitor Motor Performance Calculations by the Cross-Field Theory [includes discussion]

Trickey, P. H.

doi:10.1109/aieepas.1956.4499472

Cited by 11 publications

(2 citation statements)

References 2 publications

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“…4 shows the cross-field model where only the fundamental and the 3 rd MMF harmonic are illustrated. The model for the fundamental MMF was originally described by Puchstein and Lloyd [4], and Trickey [5]. It assumes a stationary reference frame fixed to the stator and modern theory describes this method as two-axis or dq axis models [12,15,16].…”

Section: Symmetrical Components Methodsmentioning

confidence: 99%

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Effect of MMF Harmonics on Single-Phase Induction Motor Performance - A Unified Approach

Popescu

Rasmussen

Miller

et al. 2007

2007 IEEE Industry Applications Annual Meeting

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AbstractSingle-phase and two-phase induction machines are widely used in commercial applications due to their low cost and high reliability. The developed methods for the analysis of the single-phase induction motor, i.e. forward-backward field, symmetrical components and cross-field methods, can be adapted for modeling the MMF harmonics effect. This paper presents a unified approach on all these methods that demonstrates the equivalence between models and shows how the equivalent circuit elements can be interchanged from one method to another. Since half-cycle symmetry is a very common condition in the mass produced single-phase induction motors, this paper analyses only the odd MMF harmonic effects. Experimental results for three capacitor-run motors are used to validate all the proposed models. Index terms−single-phase induction motors, MMF harmonics, electromagnetic torque I. LIST OF SYMBOLSV m , V a -complex voltages across main and auxiliary windings V p,n, Z p,n -complex positive/negative sequence voltage and impedance R s , R a , R m -stator winding resistance: equivalent/auxiliary/main X ls X la , X lm -stator leakage reactance: equivalent/auxiliary/main a, a n -effective turns ratio (aux / main) R rn -rotor resistance for n-th MMF harmonic X lrn -rotor leakage reactance for n-th MMF harmonic X mn -magnetization reactance for n-th MMF harmonic Z C -capacitive impedance connected in series with auxiliary winding P -poles number ω S , s -synchronous speed [rad/sec] and slip n -harmonics order

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Section: Symmetrical Components Methodsmentioning

confidence: 99%

“…5,9,13 show the experimental and computed torque vs speed results when both stator windings are energized, using all three methods for motor 1, motor 2 and motor 3, respectively.…”

Section: Comparison With Experimental Datamentioning

confidence: 99%