LMI-Based Control for Grid-Connected Converters With LCL Filters Under Uncertain Parameters

LMI-Based Control for Grid-Connected Converters With LCL Filters Under Uncertain Parameters
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DOI:
10.1109/tpel.2013.2279015
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发表时间:
2014-07
影响因子:
6.7
通讯作者:
L. Maccari;J. Massing;L. Schuch;C. Rech;H. Pinheiro;R. Oliveira;Vinícius Foletto Montagner
L. Maccari;J. Massing;L. Schuch;C. Rech;H. Pinheiro;R. Oliveira;Vinícius Foletto Montagner
中科院分区:
工程技术1区
文献类型:
--
作者:
L. Maccari;J. Massing;L. Schuch;C. Rech;H. Pinheiro;R. Oliveira;Vinícius Foletto Montagner

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本文提出了一种基于线性矩阵不等式的程序,用于设计状态反馈电流控制器,该控制器对于具有 LCL 滤波器的并网转换器的电网电感的不确定性具有鲁棒性。状态反馈控制律包括滤波器状态变量、谐振控制器的状态,并且还考虑数字控制实现的延迟。作为这里的主要贡献,所提出的策略允许处理任意维度的谐振控制器,并提供符合 IEEE 标准 1547 要求的结果。控制综合条件考虑了位于单位圆内部、半径为r的圆形区域内闭环特征值的分配,控制设计仅依赖于区间0 < 内半径值的选择; r ≤ 1,以简单高效的过程提供所有状态反馈增益。
This paper presents a linear matrix inequality-based procedure for the design of state feedback current controllers that are robust to uncertainties on grid inductance for grid-connected converters with LCL filters. The state feedback control law includes the filter state variables, the states of resonant controllers, and considers also the delay from digital control implementation. As the main contribution here, the proposed strategy allows to deal with resonant controllers of arbitrary dimension, and provides results complying with IEEE Standard 1547 requirements. The control synthesis condition takes into account the assignment of the closed-loop eigenvalues in a circular region with radius r, located inside the unit circle, and the control design relies only on the choice of the value of the radius in the interval 0 <; r ≤ 1, providing all the state feedback gains in a simple and efficient procedure.