一种改进的基于最小二乘法的自适应谐波检测方法

提出了一种基于最小二乘法的自适应谐波检测方法，并利用动力系统的均值理论证明了该方法的稳定性。此法克服了传统自适应谐波检测方法的局限性，不仅能够检测电流谐波，而且能够有效地提取电流的畸变量，通过学习率因子的选择，提高了该方法的瞬态响应速度，具有较好的跟踪性能，可用于时变谐波的跟踪检测。仿真结果表明该方法比以往的自适应谐波检测法能更迅速地进行谐波的同步检测和基波的同步提取。实验结果也表明了文中所述方法的有效性，可满足电力系统对电压或者电流畸变量检测的要求。

An improved adaptive detecting method based on least squares algorithm for harmonics

An improved adaptive harmonic detection method based on least squares algorithm was presented, its stability is proved by averaging theorem of dynamical system theory. The proposed method conquers the limitation of the average adaptive harmonic detection methods and it is able to detect harmonic as well as extract distortion of currents. The response speed to transients of the novel adaptive method is improved through selection of learning rate. Due to its excellent tracking performance, the improved adaptive one is good at time-varying harmonic's detection. The simulation results show that the proposed approach is faster than the previous average one for synchronous detection of harmonic and extraction of fundamental component. Also the efficiency of the approach presented in the paper is verified by the experimental results. The proposed method can satisfy the power system's needs for harmonic current or harmonic voltage detection.