基于角度步长搜索的同源波形比对方法及其应用  

A homologous waveform comparison method based on angular step search and its application

作　　者：龚啸 赵国勇 吕航[1] 王风光[1] 丁杰[1] 徐泽 GONG Xiao;ZHAO Guoyong;LYU Hang;WANG Fengguang;DING Jie;XU Ze(NR Electric Co.,Ltd.,Nanjing 211102,China)

机构地区：[1]南京南瑞继保电气有限公司,南京211102

出　　处：《浙江电力》2025年第3期22-29,共8页Zhejiang Electric Power

基　　金：国家重点研发计划(2021YFB2401004)。

摘　　要：针对继电保护设备模拟量采集中存在的隐患,提出一种可自动识别模拟量异常的基于角度步长搜索的同源波形比对方法。首先,采用三阶拉格朗日插值算法对同源的不同采样率波形进行采样率一致性处理。其次,选择基准波形及待对齐模拟量通道,通过零时刻的绝对时间进行波形初步对齐,再以采样值差的绝对值作为波形对齐判据,利用角度步长搜索的对齐方法完成波形对齐。接着,通过波形相量差结合采样值差对波形模拟量通道进行比对,识别出异常通道。进一步,搭建同源比对功能架构,将该方法应用于实际工程中。最后,算例结果表明,该方法在频率偏移工况下亦可实现波形对齐并识别出异常模拟量通道,具有工程应用价值。To address potential risks in analog signal acquisition by relay protection equipment,this paper proposes a homologous waveform comparison method based on angular step search for automatically identifying anomalies in analog signals.First,the third-order Lagrange interpolation algorithm is employed to unify the sampling rates of waveforms with different source rates.Next,a reference waveform and the analog signal channel to be aligned are se⁃lected.Preliminary alignment of waveforms is achieved using the absolute time at the zero point,followed by fine alignment using the absolute value of the sampling value difference as the criterion,implemented via an angular step search method.Subsequently,anomalies in the analog signal channel are identified by comparing waveform phasor differences combined with sampling value differences.Furthermore,a homologous waveform comparison framework is developed,and the method is applied in practical engineering scenarios.Finally,case study results demonstrate that the proposed method achieves waveform alignment and identifies anomalous analog channels even under frequency offset conditions,proving its value for engineering applications.

关 键 词：同源波形比对 拉格朗日插值 波形对齐 角度步长 相量差 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]