2026-03-05T11:44:43Z https://kitami-it.repo.nii.ac.jp/oai

oai:kitami-it.repo.nii.ac.jp:00006201 2025-01-30T05:07:46Z 7:15:22

同期電動機の同期化現象に関する研究 （第１報） Studies of the Pulling-into-Step Phenomenon of a Synchronous Motor. （Part 1） 武田, 郁夫 三浦, 五郎 application/pdf The pulling-into-step transients of a syncllronous motor are represented by a secondorder ordinary nonlinear differential equation. Already H.E .Edgerton has given formulae for critical conditions of the pulling-into-step by the differential analyzer. But these formulae are not accurate enough. Then using a phase plane method, this paper dealt sufficiently with the effect of saliency, and calculated the conditions exactly by dint of a digital computer. Consequently, we obtained the conclusion that the phase plane equations are classified into two cases according to the relatability of the coefficients ; i.e. a whether a limit cycle exists or not. When a limit cycle exists in a phase plane, the longitudinal mean value is equal to the value of the rate of β to κ. In addition, the relations of β to critical κ under the condition where b and g are parameters, are as follows : 1) The curve of it is illustrated by the saturated one, which is considerahly different from the Edgerton’s curve. 2) The influence of g upon the curve is larger, that of b is smaller. Where, β:　load ratio;　κ: relative damping coefficient; b: pulsation factor due to saliency;　g: reluctance torque ratio. 北見工業大学 1968-03 jpn departmental bulletin paper https://kitami-it.repo.nii.ac.jp/records/6201 北見工業大学研究報告 2 2 159 183 https://kitami-it.repo.nii.ac.jp/record/6201/files/2-2-2.pdf application/pdf 7.8 MB 2016-11-22