压缩感知伪随机动态功率信号的电能测量方法

摘要

Focus on the problem that Compressive Sensing (CS) measurement can not measure the electrical energy of pseudo random dynamic test signal accurately,in this paper,the spectral sparseness of pseudo random dynamic test signal is firstly analyzed,and dynamic test signal satisfies the measurement condition of compressive sensing is proved.Secondly,the system stable state optimization method is used to establish the deterministic compressive sensing measurement matrix,which meets the RIP (Restricted Isometry Property) condition.Finally,a new compressive sensing measurement methed for the electrical energy of pseudo random dynamic electric energy is proposed.The experimental result shows that the theoretical error of the compressive sensing measurement is superior over traditional sample power electrical energy measurement,and it can measure the pseudo random dynamic electrical energy accurately.%针对压缩感知检测方法不能准确测量伪随机动态测试信号电能量值的问题,该文首先分析了动态测试信号的频域稀疏性,证明动态测试信号满足压缩感知检测的条件;然后采用系统稳态优化的方法,构造了一种确定型压缩感知测量矩阵,证明其符合限制等距特性(RIp)条件,最后提出了一种新型压缩感知动态测试信号电能量的测量方法.实验结果表明:该文压缩感知测量方法的理论相对误差优于传统的采样功率电能测量方法,能够实现m序列动态测试信号的电能量值准确测量.