This paper presents the optimal placement and sizing (OPAS) of active power filter (APF) considering photovoltaic distributed generation (PVDG) and nonlinear load to control the harmonics as per IEEE-519 standard limits. For the varying nature of PVDG output, the injection of harmonics into the distribution system is thoroughly investigated by incorporating hourly solar irradiance data. In this paper, a novel extended nonlinear load position based APF current injection (ENLPCI) technique is proposed to find the number of APFs and optimal buses for placement of APFs. The optimal placement for APF is calculated here for three distinct cases: a) only one state for minimum number of APFs, b) more than one state with different total harmonic distortion in voltage (THDv) with the same number of APFs and c) more than one state with the same THDv with the same number of APFs. The size and cost of APF are calculated and compared using grey wolf optimization (GWO) and its adaptive version (AGWO) algorithms for each hour. Further, the ENLPCI is also validated by GWO and AGWO algorithms for the optimal results. The proposed algorithm is tested on the IEEE-69 bus test system. The results show that the variation of solar irradiance remarkably affects the OPAS of APF. The AGWO performed better compared to GWO to find the optimal cost of APF.

本文介绍了根据IEEE-519标准限制考虑光伏分布式发电（PVDG）和非线性负载以控制谐波的有源功率滤波器（APF）的最佳放置和尺寸调整（OPAS）。对于PVDG输出的变化性质，通过结合每小时的太阳辐照度数据来彻底研究将谐波注入配电系统的情况。本文提出了一种新的基于扩展非线性负载位置的APF电流注入（ENLPCI）技术，以找到APF的数量和用于放置APF的最佳总线。这里针对三种不同的情况计算出APF的最佳放置位置：a）对于最小数量的APF，仅一种状态，b）具有相同数量的APF的电压总谐波失真（THDv）不同的一种以上状态，以及c）具有相同APF的相同THDv的一种状态以上。每小时使用灰狼优化（GWO）及其自适应版本（AGWO）算法计算并比较APF的大小和成本。此外，ENLPCI还通过GWO和AGWO算法进行了验证，以获得最佳结果。该算法在IEEE-69总线测试系统上进行了测试。结果表明，太阳辐照度的变化对APF的OPAS有显着影响。AGWO的性能优于GWO，以找到APF的最佳成本。ENLPCI还通过GWO和AGWO算法进行了验证，以获得最佳结果。该算法在IEEE-69总线测试系统上进行了测试。结果表明，太阳辐照度的变化对APF的OPAS有显着影响。AGWO的性能优于GWO，以找到APF的最佳成本。ENLPCI还通过GWO和AGWO算法进行了验证，以获得最佳结果。该算法在IEEE-69总线测试系统上进行了测试。结果表明，太阳辐照度的变化对APF的OPAS有显着影响。AGWO的性能优于GWO，以找到APF的最佳成本。