暂态和短时电能质量扰动信号压缩采样与重构方法  

An Approach for Compressive Sampling and Reconstruction of Transient and Short-Time Power Quality Disturbance Signals

作　　者：王学伟[1] 王琳[1] 苗桂君[1] 陆以彪 韩东 万洪杰[1] 赵勇[1] 

机构地区：[1]北京化工大学信息科学与技术学院,北京市朝阳区100029 [2]黑龙江省电力科学研究院,黑龙江省哈尔滨市150030

出　　处：《电网技术》2012年第3期191-196,共6页Power System Technology

基　　金：教育部中央高校基本科研业务费项目(ZZ1226)

摘　　要：为解决传统的电能质量信号采集压缩方法所面临的采样率高、采样资源浪费及硬件实现成本高的问题,根据压缩传感理论首次提出了暂态和短时电能质量扰动信号的压缩采样与重构方法。该方法将电能质量信号由一维信号变换为二维信号,并根据图像可稀疏表示的原理,使用比Nyquist采样数据少60%以上的随机投影采样值重构原始信号,实现了对暂态和短时电能质量测量数据的压缩采样、采样数据空间稀疏基的选取和基于全变分最小化共轭梯度法的信号重构。针对几类常见单一扰动和含有多重扰动的校准源实测信号进行了算法的仿真分析和实验验证。结果表明,所提出的方法在采样率低于Nyquist采样率73%时,单一扰动的重构信号信噪比除暂态脉冲信号外均大于35dB,多重扰动的重构信号信噪比大于22d,满足电能质量分析的要求。Traditional methods for acquisition and compression of power quality signals are faced with such troubles as high sampling rate, waste of sampling resources and high attainable cost for hardware. To solve these problems, based on compressive sensing theory a method for compressive sampling and reconstruction of transient and short-time power quality disturbance signals is proposed for the first time. In the proposed method one-dimensional power quality signals are mapped to two-dimensional signals, and according to the principle of image sparse representation original signals are reconstructed by sampled random projection values and the sampled data to be used in this way is reduced by more than 60% than those used in Nyquist sampling, thus the compressive sampling, the selection of sparse basis in data space and the signal reconstruction based on total variation conjugate gradient minimization method are implemented. Simulation analysis and experimental verification of the proposed method are performed by the most common single disturbances and measured signals of calibration source containing multiple disturbances, simulation and verification results show that when sampling rate of the proposed method is lower than 73% of that for Nyquist sampling, except transient impulse signals the S/N ratios of the reconstructed signals of single disturbances are greater than 35dB, the S/N ratios of the reconstructed signals of multiple dis^rbances are greater than 22dB, thus the requirement of power quality analysis can be met.

关 键 词：电能质量 压缩感知 数据压缩 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]