1928
DOI: 10.1080/14786440708564584
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VIII.Some problems in electrical machine design involving elliptic functions

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Cited by 18 publications
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“…Analysis of a toothed structure facing a smoothed structure As described by Gibbs (1958), the basic analytical theory of this problem descends, for the single-slot case, from a famous paper by Carter (1901) and, for the multi-slot case, from one of his following papers (Carter, 1926), later extended by Coe and Taylor (1928). Gibbs illustrates how the well-known Carter's factor has been obtained by solving the single-slot problem and showing that the numerical results of the multi-slot case (more difficult to study) agree very well with those of the single-slot case; as an introduction to the proposed method, in the following an explanation of this result is given.…”
Section: Discussionmentioning
confidence: 99%
“…Analysis of a toothed structure facing a smoothed structure As described by Gibbs (1958), the basic analytical theory of this problem descends, for the single-slot case, from a famous paper by Carter (1901) and, for the multi-slot case, from one of his following papers (Carter, 1926), later extended by Coe and Taylor (1928). Gibbs illustrates how the well-known Carter's factor has been obtained by solving the single-slot problem and showing that the numerical results of the multi-slot case (more difficult to study) agree very well with those of the single-slot case; as an introduction to the proposed method, in the following an explanation of this result is given.…”
Section: Discussionmentioning
confidence: 99%
“…26). For a still narrower slot, sig = 0 • 7, the curves 0• 7', 0 • 7" and 0• 1'" are obtained as before, but two further components remain of significant magnitude, giving 0-7"" and the final dashed 1246 comprehensive paper, 3 and his results were subsequently evaluated, with regard to mean value (or permeance), by Coe and Taylor, 4 and recently, with regard to harmonic content, by Freeman. 5 The calculation of these distributions generally involves elliptic functions.…”
Section: Comparison With True Distributionmentioning
confidence: 99%