Abstract The adaptive harmonic detection method based on the adaptive noise cancellation principle has the advantages of strong adaptability and good robustness. However, when the step size of the algorithm is selected, there is a conflict between the convergence speed and the steady-state accuracy. To solve this problem, this paper proposes an improved variable step size adaptive harmonic detection method. The algorithm uses the sliding integrator to find the feedback that can truly reflect the tracking situation, and substitutes it into the step size iteration formula based on L2 norm to achieve the step size adjustment. In order to further verify the superiority and practicability of the improved algorithm, the algorithm is applied to the photovoltaic-active power filter (PV-APF) system, and simulation verification is performed in MATLAB. The simulation results show that under the same simulation conditions, the convergence speed of the improved algorithm is half a cycle faster than that of the traditional method, and the steady-state error is smaller. In the application of PV-APF system, under normal light, the dual functions of grid-connected photovoltaic system and harmonic compensation are realized. The total harmonic distortion (THD) of the system is 2.09%, which effectively improves the power quality of photovoltaic system.

中文翻译：

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基于自适应噪声消除的谐波检测方法及其在光伏-有源电力滤波系统中的应用

摘要 基于自适应噪声消除原理的自适应谐波检测方法具有适应性强、鲁棒性好的优点。但是，在选择算法步长时，收敛速度和稳态精度之间存在冲突。针对这一问题，本文提出了一种改进的变步长自适应谐波检测方法。该算法利用滑动积分器寻找能够真实反映跟踪情况的反馈，代入基于L2范数的步长迭代公式，实现步长调整。为进一步验证改进算法的优越性和实用性，将该算法应用于光伏-有源电力滤波器(PV-APF)系统，并在MATLAB中进行仿真验证。仿真结果表明，在相同仿真条件下，改进算法的收敛速度比传统方法快半个周期，稳态误差更小。在PV-APF系统的应用中，在正常光照下，实现并网光伏系统和谐波补偿的双重功能。系统总谐波失真（THD）为2.09%，有效提高了光伏系统的电能质量。实现并网光伏系统和谐波补偿双重功能。系统总谐波失真（THD）为2.09%，有效提高了光伏系统的电能质量。实现并网光伏系统和谐波补偿双重功能。系统总谐波失真（THD）为2.09%，有效提高了光伏系统的电能质量。