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【摘 要】在本论文里,作者对一个由下列形式的三阶非线性微分方程A(d3δ)/(dt3)+(d2δ)/(dt2)-Acotδ(dδ)/(dt)(d2δ)/(dt2)+((PiA)/M)cotδ+Csin2δ)(dδ)/(dt)+ +Bsinδ-(Pi)/M=0。所表征的电力机械振荡问题,进行了透彻的拓扑形象分析,并提出了一简易图解法来计算这振荡系统的性能。文中还举出一实例来说明这种分析方法。【Abstract】In this paper the author has made a complete topological analysis on a machine oscillation problem governed by a third order nonlinear differential equation of the following form: A(d3δ)/(dt3)+(d2δ)/(dt2)-Acotδ(dδ)/(dt)(d2δ)/(dt2)+((PiA)/M)cotδ+Csin2δ)(dδ)/(dt)+Bsinδ-(Pi)/M=0 and has suggested a simple graphical method for the system performance computation. A numerical example is given for illustration.
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