2022-01-18T04:02:47Zhttps://kitami-it.repo.nii.ac.jp/oaioai:kitami-it.repo.nii.ac.jp:000062012021-03-01T06:55:05ZStudies of the Pulling-into-Step Phenomenon of a Synchronous Motor. （Part 1）同期電動機の同期化現象に関する研究 （第１報）武田, 郁夫31744三浦, 五郎31745application/pdfThe 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.departmental bulletin paper北見工業大学1968-03application/pdf北見工業大学研究報告22159183https://kitami-it.repo.nii.ac.jp/record/6201/files/2-2-2.pdfjpn