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时间:2020-04-19
《用加Hanning窗插值高阶正弦拟合法测介损角.pdf》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、第33卷第4期高电压技术Voi.33No.4·50·2007年4月HighVoitageEngineeringApr.2007用加Hanning窗插值高阶正弦拟合法测介损角徐志钮,律方成,汪佛池,李和明(华北电力大学电力系统保护与动态安全监控教育部重点实验室,保定071003)摘要:电力系统频率偏离50HZ时常规的傅立叶变换用于频谱分析时易产生频谱泄漏和栅栏效应,使介损角计算产生误差。高阶正弦拟合法以信号的基波频率、谐波幅值和相角作为变量对信号进行拟合,该法能有效减轻谐波存在和频率波动的影响,精确测量电气设备的介损角。高阶
2、正弦拟合法的关键是最小二乘的计算,通常使用傅立叶变换结果作为最小二乘法的初始值,当频率偏离50HZ较多时,傅立叶变换结果与谐波分析的真实值相差较大,将其作为初值的最小二乘计算量大,影响了高阶正弦拟合法的实时性。加Hanning窗插值谐波分析法通过加窗和插值能有效减轻频率偏离50HZ时的频谱泄漏和栅栏效应,且有快速算法较之傅立叶变换增加的计算量很少。为提高高阶正弦拟合法计算介损角时的实时性,将加Hanning窗插值谐波分析法的结果作为高阶正弦拟合法的初始值,所得初始值与精确值的差值减少,最小二乘法的迭代次数从2次减到1次,容
3、性设备仿真信号的计算时间从约0.82ms减到约0.45ms,结果表明所提出的方法能有效减少介损角的计算时间,提高介损角测量的实时性。关键词:介损角;测量;Hanning窗;最小二乘法;高阶正弦拟合算法;计算时间中图分类号:TM835.4文献标志码:A文章编号:1003-6520(2007)04-0050-04ApplicationofHigher-orderSineFittingAlgorithmwithHanning-windowedInterpolatedinDielectricLossAngleMeasurement
4、XUZhi-niu,LFang-cheng,WANGFo-chi,LIHe-ming(KeyLaboratoryofPowerSystemProtectionandDynamicSecurityMonitoringandControiUnderMinistryofEducation,NorthChinaEiectricPowerUniversity,Baoding071003,China)Abstract:Ifpowerfreguencydeviatesfrom50HZ,ordinaryFouriertransformis
5、easytogeneratespectraiieakageandfenceeffectwhenitisusedforspectraianaiysis,anditwiiicausetheerrorofdieiectriciossangiemeasurement.Thehigher-ordersinefittingaigorithmtakesfundamentaiharmonicfreguency,harmonicampiitudeandinitiaiphaseangieasvariabiestofitsignai,sotha
6、ttheinfiuenceofharmonicandfreguencyfiuctuationcanbeaiieviated.Thekeystepofthehigh-ordersinefit-tingaigorithmisieastsguareaigorithm,generaiiy,theresuitsofFouriertransformaretakenastheinitiaivaiuesoftheieastsguareofthehigher-ordersinefittingaigorithm,ifsignaifreguen
7、cyhasaiargedeviationfrom50HZ,theerrorofharmonicanaiysisbyFouriertransformisremarkabieandcausestheincreaseinthecaicuiationguantityoftheieastsguaremethod,andthereai-timeperformanceofthehigh-ordersinefittingaigorithmisiowered.TheHanningwindowedinterpoiatedaigo-rithmu
8、seswindowingandinterpoiationtoaiieviatespectraiieakageandfenceeffecteffectiveiywhenthesignaifreguencydeviatesfrom50HZ,andthefastaigorithmhasmorecaicuiat
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