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电网技术  2011 

傅里叶算法测量介质损耗的误差分析与应用

, PP. 124-129

Keywords: 电容型设备,介损,傅里叶算法,相位差,频率波动,误差

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Abstract:

为减少傅里叶算法用于电容型设备介质损耗(介损)计算的误差,基于信号仅含基波分量和信号频率变化的前提下对傅里叶算法用于介损计算的误差进行理论推导和分析。获得了介损角计算误差的表达式,该表达式由电压与电流信号的相位差、电流信号的初始相位、信号频率和信号长度组成,即介损角的计算误差受这些因素影响。分析结果表明在初始相位变化范围内介损角误差的最大值、最小值大致互为相反数,介损角最大误差与频率偏离系数和电压与电流信号的相位差近似存在线性关系;介损角最大误差约为频率偏离系数乘以电压与电流信号的相位差。因此,欲减少介损角测量误差可采用以下方法缩小采样得到电压与电流信号的相位差,比如电流信号通过移相?/2的传感器,比如末屏串入电容或Rogowski线圈获得,该方法有望使频率波动导致的误差降低为真实值的1/100左右。仿真和实验数据的计算验证了以上分析结论。

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