A solution of the non-linear differential equation of the rotating machine oscillator

✍ Scribed by C.V. Govinda Rao

• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 624 KB
• Volume: 265
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90666-5

✦ Synopsis

In a previous paper (1) 3 an analysis of the d-c. series generator-separately excited motor oscillator was presented without the solution of non-linear differential equation developed for the analysis. The equation was a modification of the well known Van der Pol equation with an extra term of the fifth degree to account for the discrepancies between the theoretical and experimental results. Analytical solution of the equation seems rather not possible. In this paper a semigraphical and semlnumerical solution based on Li~nard's Isocline method (2) is presented. Several interesting conclusions have been drawn, some of which agree with the results qualitatively arrived at in the previous paper. The derivation of the basic equation has been added for the sake of completeness.