L2范数和真正跟踪误差的自适应谐波检测算法

Adaptive Harmonic Detection Algorithm Based on L2 Norm and True Tracking Error

基于自适应噪声对消原理的自适应谐波检测方法具有众多优点,但算法中步长的选择必须在收敛速度和稳态精度之间做一个平衡。本文基于L2范数和真正跟踪误差提出了一种改进的变步长自适应谐波检测算法。本算法利用滑动积分器找到真正能反映跟踪情况的反馈量,再将更新后的反馈误差代入步长迭代函数中调节步长。利用L2范数公式将输入信号引入步长迭代函数中,从而可以反映输入信号对性能的影响。仿真结果表明,该算法在谐波检测中既可以保持较快的收敛速度,也能有较小的稳态失调。

The adaptive harmonic detection algorithm based on the principle of adaptive noise cancellation has many advantages. However,the selection of steps in the algorithm must strike a balance between the convergence speed and the steady-state accuracy. In this paper,an improved variable step-size adaptive harmonic detection algorithm is proposed based on L2 norm and true tracking error. This algorithm uses the sliding integrator to find the feedback error that can truly reflect the tracking condition,and then brings the updated feedback error into the step-size iterative function to adjust the step-size. Using the L2-norm formula,the input signal is introduced into the step-size iterative function,thus reflecting the influence of the input signal on the performance. Simulation results show that the proposed algorithm can keep fast convergence speed and smaller steady-state error in harmonic detection.