Interaction Analysis Between PLL-based Synchronization and Power Balance of Grid-following Converters Tied to AC System

HONG Zhenkun; CHENG Min; ZHAN Meng; YU Jiawei; ZHU Yihua; WU Mingkang

doi:10.13334/j.0258-8013.pcsee.241196

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Interaction Analysis Between PLL-based Synchronization and Power Balance of Grid-following Converters Tied to AC System

更新时间：2026-10-12

- Interaction Analysis Between PLL-based Synchronization and Power Balance of Grid-following Converters Tied to AC System
- Issue 24, Pages: 9518-9529(2025)
- 作者机构：
  
  1. 强电磁工程与新技术国家重点实验室(华中科技大学电气与电子工程学院),湖北省,武汉市,430074
  2. 云南电网有限责任公司,云南省,昆明市,650011
  3. 直流输电技术国家重点实验室(南方电网科学研究院有限责任公司),广东省,广州市,510663
  4. 国家能源大电网技术研发(实验)中心,广东省,广州市,510663
  5. 广东省新能源电力系统智能运行与控制企业重点实验室,广东省,广州市,510663
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.241196
  CLC：
- Published：2025
- 稿件说明：
移动端阅览
HONG Zhenkun, CHENG Min, ZHAN Meng, et al. Interaction Analysis Between PLL-based Synchronization and Power Balance of Grid-following Converters Tied to AC System[J]. 2025, (24): 9518-9529.
DOI：

HONG Zhenkun, CHENG Min, ZHAN Meng, et al. Interaction Analysis Between PLL-based Synchronization and Power Balance of Grid-following Converters Tied to AC System[J]. 2025, (24): 9518-9529. DOI： 10.13334/j.0258-8013.pcsee.241196.

摘要

由于跟网型变流器系统由控制主导、强耦合的特性，锁相同步与直流电容上功率平衡的关系并不清晰。为此，从带宽视角揭示两者在带宽远离、接近时的交互机制。首先，基于两者的动力学行为，以阻尼比和振荡频率作为前者的动态指标，以同步转矩和阻尼转矩作为后者的动态指标；然后后，利用奇异摄动理论将所建线性化模型在临界场景下进行代数化降维，通过分析动态指标的变化揭示两者在带宽远离时的相互作用；最后，基于功率平衡开环传递函数，分析锁相同步对功率平衡环节幅值裕度的影响，揭示两者带宽接近时的相互作用。特别地，该文考虑端电压控制的影响，发现其带宽降低会恶化两者间的相互作用，导致系统静态稳定极限减小，带宽接近易失稳的现象消失。

Abstract

Due to strong coupling of grid-following converter

the relation between phase-locked loop(PLL)-based synchronization loop and DC-link voltage control(DVC)-based power balance is unclear. In this paper

the interaction analysis between these two controls is developed in the cases of bandwidth separation and bandwidth proximity. Firstly

based on control dynamic behaviors

the damping ratio and oscillation frequency are defined as PLL dynamic indexes

and the synchronous torque and damping torque are defined as DVC dynamic indicators. Then

by the singular perturbation analysis

the linear model established before is algebraically reduced in critical scene

and the interaction in the case of bandwidths separation is revealed by analyzing the changes in these dynamic indicators. Furthermore

based on the open-loop transfer function of DVC

the effects of PLL on the amplitude margin of DVC are analyzed to reveal the interaction in the case of bandwidths proximity. In particular

the impacts of terminal voltage control(TVC) are considered. It is found that the interaction between PLL and DVC is deteriorated with TVC bandwidth decreasing

leading to a reduction of the static stability limit and the instability disappearance in the case of bandwidths proximity.

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