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三相电网中出现的一类双自由度振动系统周期解的存在性

EXISTENCE OF PERIODIC SOLUTIONS IN AN OSCILLATORY SYSTEM WITH TWO DEGREES OF FREEDOM IN THREEPHASE POWER SYSTEMS

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【作者】 赖定文王政贤

【Author】 Lai Ding-wen (Hehai University) Wang Zheng-xian (Southeast University)

【机构】 河海大学东南大学 南京市南京市

【摘要】 <正> 在三相电网内,由于接线的复杂性和故障、操作形式的多样性,所形成的铁磁谐振回路千差万别,所造成的后果亦各不相同。本文着重研究一种非正常运行情况,即在短暂时间内只有二相投入运行的情况。当P.T.一相爆保险或三相不同期合闸等故障及操作形式发生时,就会出现这种短暂的运行情况。它使系统的工作状态有一些固有特点而发

【Abstract】 Accidents caused by one phase breakdown often happens in power systems.In these cases, the manner of working has its intrinsic features, In this paper we make an exclusive study of its features.At first,a mathematical model illustrating this type of functioning is established. Then the boundedness of solutions and the existence of periodic solutions are given.The existence of large harmonic solutions provides the probable overvoltage phenomenon in the system with a theoretical basis,while the existence of small harmonic solution predicts such a manner of working will eventually be set up,Finally, a few numerical results are given to de monstrate the theoretical results.

【基金】 江苏省电力工业局资助的重点科技项目
  • 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,1991年02期
  • 【被引频次】4
  • 【下载频次】22
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