Abstract This paper investigates the problem of controlling a single phase shunt active power filter (SAPF) connected to two photovoltaic arrays through a half bridge inverter involving two DC link capacitors. The control aims are threefold: ensuring a satisfactory power factor correction (PFC) at the grid-power filter connection point by compensating the harmonic and reactive currents produced by the nonlinear loads; extracting a maximum active power in the output photovoltaic arrays by applying the maximum power point tracking (MPPT) block and balancing the power exchange between the photovoltaic source and the AC power grid by regulating the DC link capacitors voltages. The problem is dealt with using a cascade nonlinear adaptive controller. The inner loop is designed using sliding mode and Lyapunov stability techniques so that to ensure a unity power factor. It also includes an adaptive observer that performs online estimation of the grid state variables which are not accessible to measurements. The outer loop is mainly constituted of filtered proportional-integral (PI) regulator, that ensures a tight regulation of the photovoltaic voltage, and the incremental conductance (IC) algorithm to meet MPPT. The resulting controller performances are formally analyzed making use of averaging theory. The theoritical analysis results are confirmed by numerical simulation within MATLAB/SimPowerSystems environment.

中文翻译：

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基于半桥并联有源电力滤波器的光伏系统平均性能分析非线性自适应控制设计

摘要 本文研究了通过包含两个直流链路电容器的半桥逆变器控制连接到两个光伏阵列的单相并联有源电力滤波器 (SAPF) 的问题。控制目标有三个：通过补偿非线性负载产生的谐波和无功电流，确保电网-电力滤波器连接点处的功率因数校正（PFC）令人满意；通过应用最大功率点跟踪 (MPPT) 块并通过调节直流链路电容器电压来平衡光伏电源和交流电网之间的功率交换，从而在输出光伏阵列中提取最大有功功率。该问题使用级联非线性自适应控制器来处理。内环采用滑模和李雅普诺夫稳定性技术设计，以确保功率因数一致。它还包括一个自适应观测器，可以对测量无法访问的电网状态变量进行在线估计。外环主要由滤波比例积分 (PI) 调节器组成，确保光伏电压的严格调节，以及满足 MPPT 的增量电导 (IC) 算法。使用平均理论对由此产生的控制器性能进行形式化分析。理论分析结果在 MATLAB/SimPowerSystems 环境下通过数值模拟得到证实。外环主要由滤波比例积分 (PI) 调节器组成，确保光伏电压的严格调节，以及满足 MPPT 的增量电导 (IC) 算法。使用平均理论对由此产生的控制器性能进行形式化分析。理论分析结果在 MATLAB/SimPowerSystems 环境下通过数值模拟得到证实。外环主要由滤波比例积分 (PI) 调节器组成，确保光伏电压的严格调节，以及满足 MPPT 的增量电导 (IC) 算法。使用平均理论对由此产生的控制器性能进行形式化分析。理论分析结果在 MATLAB/SimPowerSystems 环境下通过数值模拟得到证实。