一类非线性系统的概周期振动性研究及其在电力系统中应用  

The Almost Periodic Oscillations Based on a Class of Nonlinear Systems and Application in Power Systems

作　　者：计国君[1] 

机构地区：[1]厦门大学管理科学系,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2007年第6期750-754,共5页Journal of Xiamen University：Natural Science

摘　　要：铁磁谐振过电压是电力系统中一种非线性共振现象,因此在电力系统的振荡回路中其运行机理需要用非线性系统模型来刻画.本文将概周期性Galerkin方法应用到一类非线性系统中的概周期现象的研究,针对电力系统运行状态的非线性系统及其控制系统,证明了电力系统中广泛存在的一种振动过程的机理是概周期的.Ferromagnetic resonance over-voltage is a lasting nonlinear resonance phenomena that appeared in tank circuit with the action of core inductance saturation magnetization. Resonance formed in the circuit that related to three phases closely. The Galerkin＇s technique for periodic solutions into almost periodic solutions was developed in this paper, and was applied to the almost phenomenon in a class of nonlinear systems. The physical property of a kind of oscillatory process which frequently appeared in power systems is almost periodicity in essence was proved. Our conclusions provide rational knowledge for frequency deviation appeared in that kind of oscillation as above.

关 键 词：概周期 指数二分性 GALERKIN逼近 

分 类 号：O175[理学—数学]