Nonlinear Modeling and Global Stability Condition of Single-Phase Grid-Tied Inverter Considering SRF-PLL and Duty-Cycle Saturation
Nonlinear Modeling and Global Stability Condition of Single-Phase Grid-Tied Inverter Considering SRF-PLL and Duty-Cycle Saturation
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考虑SRF-PLL和占空比饱和的单相并网逆变器非线性建模和全局稳定条件
DOI：
10.1109/tie.2021.3102484
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发表时间：
2022-07
影响因子：
7.7
通讯作者：
Xiaowei Zhang
中科院分区：
文献类型：
--
作者：
Cheng Cheng;Shaojun Xie;Qiang Qian;Jinming Xu;Xiaowei Zhang
针对传统线性化方法不能准确分析具有非线性特性的并网逆变器（GTI）系统的问题，在单相情况下，提出了一种考虑同步参考系锁相环（PLL）和脉宽调制占空比饱和等非线性因素的GTI系统非线性模型，并给出了相应的全局渐近稳定条件。具体而言，一些系统非线性因素，例如，研究了二阶广义积分锁相环（SOGI-PLL）中的占空比饱和现象、Park（dq）变换和余弦运算，推导了它们的扇区有界条件。为了寻求更少的保守性结果，SOGI-PLL的系统状态被重构，使得PLL系统的线性部分可以被稳定。在此基础上，建立了整个GTI系统的非线性状态空间模型。利用S-过程引理，将导出的扇区条件引入到李雅普诺夫函数的推导中，得到了逆变器系统全局渐近稳定的条件.进一步分析了不同电网阻抗、电流参考和控制参数下系统的稳定区域。最后，所提出的理论的有效性是完全支持的瞬态实验结果。
Considering that the traditional linearization method cannot accurately analyze the grid-tied inverter (GTI) system with nonlinear nature, in the single-phase case, a novel nonlinear model for the GTI system considering nonlinear factors, including synchronous reference frame phase-locked loop (PLL) and duty-cycle saturation in pulsewidth modulation, is proposed, and the corresponding global asymptotic stability condition is given. Specifically, some system nonlinear factors, e.g., duty-cycle saturation phenomenon and Park (dq) transformation and cosine operation in second-order generalized integrator-based PLL (SOGI-PLL), are investigated, and their sector-bounded conditions are derived. In order to seek less conservative results, the system state of the SOGI-PLL is restructured such that the linear part of the PLL system can be stabilized. Then, the nonlinear state-space model with sector bounded for the whole GTI system is formulated. Furthermore, the deduced sector conditions are introduced into the derivation of the Lyapunov function by using the S-procedure lemma, and the global asymptotic stability condition of the inverter system is, thus, obtained. The system stability regions under different grid impedances, current references, and control parameters are further analyzed. Finally, the effectiveness of the proposed theories is fully supported by transient experimental results.
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