水电直流孤岛系统的Hopf分岔和极限环Hopf Bifurcation and Limit Cycle in Islanded Hydro-Dominant Sending Systems
路晓敏;陈磊;丁超杰;张毅威;闵勇;
摘要(Abstract):
以水电为主的直流孤岛送出系统中多次出现具有长振荡周期和稳定振幅的超低频频率振荡事件。考虑到水轮机的非线性特性,建立了水电孤岛系统的非线性描述方程进行研究。并对比了非线性系统和其线性化模型下的稳定性和表现,发现了水电孤岛系统中非线性模型下的Hopf分岔和稳定极限环现象。在一定的参数范围内,系统平衡点不稳定,但出现稳定的极限环,系统轨迹收敛到极限环而呈现出等幅振荡。进一步分析得到极限环特性与Hopf分岔参数的关系。分析结果为研究水电直流孤岛中频率稳定问题提供了一种理论上的可能,最后说明了考虑水轮机非线性的重要性。
关键词(KeyWords): 水电直流孤岛;水轮机非线性;Hopf分岔和极限环;频率稳定
基金项目(Foundation): 国家自然科学基金项目(51377002)~~
作者(Author): 路晓敏;陈磊;丁超杰;张毅威;闵勇;
Email:
DOI: 10.13335/j.1000-3673.pst.2018.0419
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