基于泰勒级数和离散傅里叶变换的综合自适应相量算法  

Comprehensive Adaptive Phasor Algorithm Based on Taylor Series and Discrete Fourier Transform

作　　者：徐全[1,2] 陆超[1,2] 刘映尚[3] 黄河[3] 苏寅生[3] 

机构地区：[1]清华大学电机工程与应用电子技术系,北京市100084 [2]电力系统及发电设备控制和仿真国家重点实验室,清华大学,北京市100084 [3]中国南方电网电力调度控制中心,广东省广州市510623

出　　处：《电力系统自动化》2016年第19期37-43,共7页Automation of Electric Power Systems

基　　金：国家重点基础研究发展计划(973计划)资助项目(2012CB215206)~~

摘　　要：针对传统相量算法在动态过程中难以同时满足精度和速度要求的问题,提出一种基于泰勒级数和离散傅里叶变换(DFT)的综合自适应相量算法。该算法对稳态和动态情况,分别设计了时域算法和频域算法两种计算模式,并通过反推校验实现二者间的自适应切换。具体地,时域算法利用两相邻数据窗进行DFT分析,并根据特定精度要求进行简化,以此计算频率和相量;频域算法对电力信号模型进行泰勒级数展开,并通过一个数据窗的基波和各谐波含量计算相量、频率和频率变化率。仿真分析和实验测试结果均表明,在稳态和动态情况下所述算法的量测精度和响应性能均优于传统算法及相应的商用同步相量测量装置,满足实际应用要求。In view of the contradiction that conventional synchrophasor estimators can hardly meet the requirements on accuracy and rapidity simultaneously,a comprehensive and adaptive phasor algorithm based on Taylor series and discrete Fourier transform（DFT）is proposed.With two modes of calculation the time-domain and frequency-domain calculation designed for steady and dynamic conditions,respectively,a calibration based adaptive switching strategy is employed to shift between them according to actual conditions.Specifically,the time-domain algorithm calculates the phasor and frequency through DFT analysis and Taylor series of two data windows;the frequency-domain algorithm calculates the phasor,frequency and rate of frequency change by fundamental and harmonic content of one data window.Theoretical simulation and experimental results demonstrate that the accuracy and response performance of the proposed algorithm are superior to conventional estimators and the corresponding commercial phasor measurement unit（PMU）.

关 键 词：同步相量测量 离散傅里叶变换 泰勒级数 自适应相量算法 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] TM933.313[自动化与计算机技术—计算机科学与技术]