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三角变换测频法的误差分析及误差抑制
引用本文:应展烽,吴军基,易文俊.三角变换测频法的误差分析及误差抑制[J].电力系统及其自动化学报,2011,23(3):111-117.
作者姓名:应展烽  吴军基  易文俊
作者单位:南京理工大学动力工程学院,南京,210094
摘    要:抑制三角变换测频法误差对于电网频率检测具有重要意义.文中通过引入检测点间隔的概念重新推 导了三角变换法,并对其误差机理进行了分析.研究发现,算法精度与检测点间隔相关.利用极值分析法和牛顿迭代法可对最优检测点间隔进行估计.通过最优间隔的选取和少数结果奇异点的剔除,即使待测信号存在一定误差,三角变换法的精度也能满足工程需要...

关 键 词:频率检测  三角变换  误差分析  牛顿迭代法

Error Analysis and Reduction of Frequency Detection Algorithm Based on Triangular Transformation
YING Zhan-feng,WU Jun-ji,YI Wen-jun.Error Analysis and Reduction of Frequency Detection Algorithm Based on Triangular Transformation[J].Proceedings of the CSU-EPSA,2011,23(3):111-117.
Authors:YING Zhan-feng  WU Jun-ji  YI Wen-jun
Affiliation:(School of Power Engineering,Nanjing University of Science & Technology, Nanjing 210094,China)
Abstract:The error reduction of frequency detection algorithm based on triangular transformation has great significance for power system frequency detection.The algorithm is derived in this paper by introducing the concept of interval of detection point and the error mechanism is analyzed.The research shows that the result precision is related to interval of detection point.By using Extreme Value Analysis and Newton Iteration Method,the optimal interval of detection point can be estimated.With optimal interval and singularity elimination,the algorithm precision can satisfy the engineering demand although the signal to be measured has a certain error.The instance simulation shows that our study can improve precision and anti-interference ability of algorithm and decrease the dependence of algorithm with respect to precision of filtering and sampling device.
Keywords:frequency detection  triangular transformation  error analysis  Newton iteration method
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