基于 L1范数正则化的电压闪变信号检测算法

提出一种基于L1范数正则化的电压闪变信号检测算法.根据余弦函数的正交性特点,通过构造一个合适的目标函数,将基波信号检测转化为一个简单的数学优化问题.利用L1范数正则化的方法,建立从调制信号中恢复包络信号所需的优化方程.通过优化方程的求解,获得基波信号和闪变信号的检测估计.数值仿真信号和实测电压信号的检测结果表明,提出的算法能够准确有效地检测和提取信号的基波和包络分量,且有良好的抗噪性能.

An L1-norm regularization-based algorithm for voltage flicker signal detection

An algorithm for voltage flicker signal detection using L1‐norm regularization was proposed in this paper .By exploiting the orthogonality of cosine function ,we constructed a proper objective function and converted the fundamental signal estimation problem to a mathematical optimization problem .Using the L1‐norm regularization method ,we developed an optimization equation that was used for recovering the envelop signal from the corresponding modulated one .The desired fundamental signal and envelop signal could thus be obtained by solving these two optimization problems .Experimental results of simulated signal and real voltage signal showed that the proposed algorithm performed well on accurately estimating fundamental signal and flicker signal ,with the ability that was robust to noise .