关联维数在尾水管压力脉动分析中的应用  

Application of correlation dimension in pressure fluctuation of draft tube

作　　者：王利英[1] 赵卫国[1] 黄欣锋 

机构地区：[1]河北工程大学水电学院,河北邯郸056021 [2]邯郸市水利局漳滏河灌溉供水管理处,河北邯郸056001

出　　处：《河北工程大学学报（自然科学版）》2010年第4期69-73,91,共6页Journal of Hebei University of Engineering:Natural Science Edition

基　　金：河北省自然科学基金资助项目(E2010001026);河北省教育厅科学研究计划项目(2009422)

摘　　要：以黄壁庄机组尾水管压力脉动试验的实测信号为例,对时域信号进行了频谱分析,并对在不同的工况下尾水管压力脉动信号进行嵌入维数和关联维数分析。结果表明,当嵌入维数大于等于18时,关联维数趋于稳定值。不同工况下水轮机尾水管压力脉动的关联维数也不同,当导叶开度为50.70%时,分形关联维数为3.456 6;导叶开度为62.85%时,分形关联维数为3.388 1。因此,关联维数可以作为对水轮机尾水管压力脉动情况进行识别的指标,可以指导电站的稳定运行。Based on the actual experiment signal of draft tube in Huangbizhuang unit,the time domain signal has been carried on the spectral analysis;embedding dimension and the correlation dimension also have been analyzed in different conditions of draft tube.Results show that when the embedding dimension is greater than or equal to 18,correlation dimension is tending to stability,so the minimum embedding dimension is 18.And when the guide vane opening（a） is 50.70% and 62.85%,the correlation dimension 3.4566 and 3.3881 respectively.This can be obtained that under different working conditions,correlation dimension is different,accordingly,the correlation dimension can be used as a conduit for pressure pulsation of draft tube,and it can guide the stable operation of the power.

关 键 词：关联维数 分形 压力脉动 尾水管 

分 类 号：TK730[交通运输工程—轮机工程]