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sexta-feira, 26 de setembro de 2025

Analysis of Phase-Locked Loop Filter Delay on Transient Stability of Grid-Following Converters by Chenglin Zhang *,Junru Chen and Wenjia Si-The College of Electrical Engineering, Xinjiang University,


 Abstract 
To ensure precise phase estimation within the q-axis of the phase-locked loop (PLL), integrating a filter into the q-axis loop is essential to mitigate grid-voltage harmonics. Nevertheless, the intrinsic delay characteristics of this filter impede PLL synchronization during significant grid disturbances. This study begins by developing mathematical models for three types of filters—moving-average filter (MAF) for eliminating odd harmonic components, dq-frame cascaded delayed signal cancellation (dqCDSC) filter, and notch filter (NF). Following the reduction in filter orders, a third-order nonlinear large-signal model of the PLL, incorporating an additional q-axis internal filter, is formulated. Using phase plane analysis, this study investigates the transient synchronism of the grid-following converter (GFL) and explores the influence of delay time constants from the three PLL filters on its behavior while delineating the boundaries of their basins of attraction. Theoretical findings indicate that, relative to the traditional SRF-PLL, incorporating an internal filter into the PLL compromises the transient synchronous stability of GFL. Specifically, greater filter delay time constants exacerbate the GFL’s vulnerability to transient instability amid substantial grid disturbances. Hence, careful consideration is essential when using MAF-PLL and NF-PLL in situations demanding high synchronization stability. The theoretical analyses are validated using Matlab/Simulink to verify their accuracy.
VIEW ARTICLE FULL: https://www.mdpi.com/2079-9292/13/5/986

quinta-feira, 25 de setembro de 2025

DQ Impedance Reshaping of Three Phase Power-Controlled Grid Connected Inverter for Low-Frequency Stability Improvement Under Weak Grid Condition Zhou, Weihua; Wang, Yanbo; E. Torres-Olguin, Raymundo; Chen, Zhe-Department of Energy Technology, Aalborg University, Aalborg, Denmark


 DQ Impedance Reshaping of Three-Phase Power-Controlled Grid-Connected Inverter for Low-Frequency Stability Improvement Under Weak Grid Condition Weihua Zhou∗ , Yanbo Wang∗ , Raymundo E. Torres-Olguin† and Zhe Chen∗ ∗Department of Energy Technology, Aalborg University, Aalborg, Denmark 

 Abstract—Phase-locked loop (PLL) is commonly used to synchronize the phase angle of the injected current of voltage source grid-connected inverters (GCIs) with that of the voltage at point of common coupling. However, the quadrature-axis component of the dq impedance model of the GCIs presents negative resistance characteristics in low-frequency range due to the usage of the PLL, which may lead to low-frequency instability phenomena if the GCIs work under weak grid condition. This paper presents a dq impedance reshaping method of powercontrolled GCIs to eliminate the negative effect of PLL on lowfrequency stability. The dq impedance models of the GCIs under current and power control modes are first established using complex vector and complex transfer function theory. On its basis, the negative effects of PLL on current control loop and power control loop are theoretically derived. A grid voltage feedforward loop is then designed in the control system of the powercontrolled GCIs, where the parameters of the feed-forward loop are calculated. The effectiveness of the proposed dq impedance reshaping method is validated by frequency scanning results and time-domain simulation results.

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Analysis of linear Phase-Locked Loops in Grid connected Power Converters Steinkohl, Joachim; Wang, Xiongfei; Davari, Pooya; Blaabjerg, Frede-Department of Energy Technology, Aalborg University

 


Analysis of linear Phase-Locked Loops in Grid-Connected Power Converters Joachim Steinkohl, Xiongfei Wang, Pooya Davari and Frede Blaabjerg Aalborg University 

 Abstract
 Fast and accurate synchronization capability of grid-connected converters is becoming more and more important to ensure proper performance during transient events, such as grid faults. The higher requirements during the operation, as Fault-Ride-Through with reactive current injection, cause higher requirements on the operation during severe system conditions. This paper analyzes an addition to Synchronous-Reference-Frame Phase-Locked Loops for power electronic converters, that is linearizing the input signal. This enhances the tracking capabilities during abnormal transient events in the power grid. The improved control is analyzed and its increased performance is validated through simulations and experimental results.
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terça-feira, 23 de setembro de 2025

Small-Signal Stability Analysis and Optimization of Grid-Forming Permanent-Magnet Synchronous-Generator Wind Turbines by Guanghui Li ,Runqi Han ,Zhen Li,Bin Lui,


Small-Signal Stability Analysis and Optimization of Grid-Forming Permanent-Magnet Synchronous-Generator Wind Turbines by Guanghui Li 1,Runqi Han 2,*,Bin Liu 2,*ORCID andZhen Li 3ORCID National Key Laboratory of Renewable Energy Grid-Integration, China Electric Power Research Institute, Beijing 100192, China College of Artificial Intelligence, China University of Petroleum (Beijing), Beijing 102249, China School of Automation and Key Laboratory for Intelligent Control & Decision on Complex Systems, Beijing Institute of Technology, Beijing 100081, China 

 Abstract Due to the ability to improve the low-inertia characteristics of power systems and offer reliable voltage and frequency support, grid-forming permanent-magnet synchronous-generator wind turbines (PMSG-WTs) based on virtual synchronous-generator (VSG) technology are emerging se the direction for future developments. Previous studies on the small-signal stability of grid-forming PMSG-WTs that connect to the grid usually simplify them into grid-connected grid-side converters (GSC), potentially leading to errors in stability analyses. Therefore, this paper considers the machine-side converter (MSC) control and establishes impedance models for grid-forming PMSG-WTs. Based on the sensitivity calculation of controller parameters using symmetric difference computation based on zero-order optimization, the impact of the internal controller on outside impedance characteristics is quantitatively analyzed. Additionally, an optimization method to enhance the stability of a hybrid wind farm by adjusting the ratio of grid-forming and grid-following wind turbines is proposed.