Synchronization Stability Analysis of Grid-connected Inverter Based on Improved Equal Area Criterion

Xilin LI; Yingjie TANG; Zhen TIAN; Xiaoming ZHA; Jianjun SUN; Yixiang LI

doi:10.7500/AEPS20210903001

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Synchronization Stability Analysis of Grid-connected Inverter Based on Improved Equal Area Criterion

Basic Research | 更新时间：2025-06-16

- Synchronization Stability Analysis of Grid-connected Inverter Based on Improved Equal Area Criterion
- Automation of Electric Power Systems Vol. 46, Issue 18, Pages: 208-215(2022)
- 作者机构：
  
  武汉大学电气与自动化学院，湖北省武汉市 430072
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(52007134);Fundamental Research Funds for the Central Universities(2042021kf0014)
- DOI：10.7500/AEPS20210903001
  CLC：
- Received：03 September 2021，
  
  Revised：2022-03-23，
  
  Published Online：26 May 2022，
  
  Published：25 September 2022
- 稿件说明：
移动端阅览
李锡林,唐英杰,田震等.基于改进等面积法则的并网逆变器同步稳定性分析[J].电力系统自动化,2022,46(18):208-215.

LI Xilin,TANG Yingjie,TIAN Zhen,et al.Synchronization Stability Analysis of Grid-connected Inverter Based on Improved Equal Area Criterion[J].Automation of Electric Power Systems,2022,46(18):208-215.
李锡林,唐英杰,田震等.基于改进等面积法则的并网逆变器同步稳定性分析[J].电力系统自动化,2022,46(18):208-215. DOI： 10.7500/AEPS20210903001.

LI Xilin,TANG Yingjie,TIAN Zhen,et al.Synchronization Stability Analysis of Grid-connected Inverter Based on Improved Equal Area Criterion[J].Automation of Electric Power Systems,2022,46(18):208-215. DOI： 10.7500/AEPS20210903001.

摘要

随着新能源渗透率的不断提高，电力电子化电力系统的稳定运行面临新的挑战。近年来，并网逆变器在大扰动下的同步不稳定现象频发。传统等面积法则由于直接忽略了阻尼项对暂态稳定性的影响，使得稳定边界的计算误差较大，容易导致稳定结果的误判。为此，提出了一种改进等面积法则，用于分析弱电网条件下并网逆变器的大干扰同步稳定性。针对基于锁相环的逆变器并网系统，建立其二阶非线性暂态模型。通过将其与同步发电机的转子摇摆方程进行类比，得到并网逆变器系统等效的机械功率、电磁功率和依赖于功角的非线性阻尼项。为了定量分析负阻尼的影响，提出了一种基于阻尼项缩放和线性逼近的改进等面积法则，有效提高了暂态稳定域的估计精度。与经典的Lyapunov方法相比，所提出改进等面积法则的保守性更小。最后，基于MATLAB仿真和硬件在环实验，验证了所提方法的有效性和优越性。

Abstract

With the continuous increase of the penetration rate of renewable energy

the stable operation of power systems dominated by power electronics faces new challenges. In recent years

the synchronization instability of grid-connected inverters under large disturbances has taken place frequently. Since the traditional equal area criterion directly ignores the influence of the damping terms on transient stability

the large calculation error of the stability boundary leads to the misjudgment of the stability results. Therefore

an improved equal area criterion is proposed to analyze the large-disturbance synchronization stability of grid-connected inverters under weak grid conditions. A second-order nonlinear transient model is established for the grid-connected inverter system based on phase-locked loop (PLL). By comparing it with the rotor swing equations of the synchronous generator

the equivalent mechanical power

the electromagnetic power and the nonlinear damping term which depends on the operation states of the grid-connected inverter system are obtained. In order to quantitatively analyze the influence of negative damping

an improved equal area criterion based on the scaling of damping term and the linear approximation is proposed

which effectively improves the estimation accuracy of the transient stability margin. Compared with the Lyapunov-based methods

the proposed improved equal area criterion is less conservative. Finally

the extensive simulations based on MATLAB/simulink and the hardware-in-the-loop experiment are presented to verify the effectiveness and superiority of the proposed method.

关键词

Keywords

references

杨鹏，刘锋，姜齐荣，等 . “双高”电力系统大扰动稳定性：问题、挑战与展望［J］. 清华大学学报（自然科学版）， 2021 ， 61 （ 5 ）： 403 - 414 .

YANG Peng ， LIU Feng ， JIANG Qirong ， et al . Large-disturbance stability of power systems with high penetration of renewables and inverters： phenomena， challenges， and perspectives ［J］. Journal of Tsinghua University （Science and Technology）， 2021 ， 61 （ 5 ）： 403 - 414 .

谢小荣，贺静波，毛航银，等 . “双高”电力系统稳定性的新问题及分类探讨［J］. 中国电机工程学报， 2021 ， 41 （ 2 ）： 461 - 475 .

XIE Xiaorong ， HE Jingbo ， MAO Hangyin ， et al . New issues and classification of power system stability with high shares of renewables and power electronics ［J］. Proceedings of the CSEE ， 2021 ， 41 （ 2 ）： 461 - 475 .

ZHOU Q ， TIAN Z ， SHAHIDEHPOUR M ， et al . Optimal consensus-based distributed control strategy for coordinated operation of networked microgrids ［J］. IEEE Transactions on Power Systems ， 2020 ， 35 （ 3 ）： 2452 - 2462 .

胡家兵，袁小明，程时杰 . 电力电子并网装备多尺度切换控制与电力电子化电力系统多尺度暂态问题［J］. 中国电机工程学报， 2019 ， 39 （ 18 ）： 5457 - 5467 .

HU Jiabing ， YUAN Xiaoming ， CHENG Shijie . Multi-time scale transients in power-electronized power systems considering multi-time scale switching control schemes of power electronics apparatus ［J］. Proceedings of the CSEE ， 2019 ， 39 （ 18 ）： 5457 - 5467 .

袁小明，程时杰，胡家兵 . 电力电子化电力系统多尺度电压功角动态稳定问题［J］. 中国电机工程学报， 2016 ， 36 （ 19 ）： 5145 - 5154 .

YUAN Xiaoming ， CHENG Shijie ， HU Jiabing . Multi-time scale voltage and power angle dynamics in power electronics dominated large power systems ［J］. Proceedings of the CSEE ， 2016 ， 36 （ 19 ）： 5145 - 5154 .

HU Q ， FU L ， MA F ， et al . Large signal synchronizing instability of PLL-based VSC connected to weak AC grid ［J］. IEEE Transactions on Power Systems ， 2019 ， 34 （ 4 ）： 3220 - 3229，

HU J B ， HU Q ， WANG B ， et al . Small signal instability of PLL-synchronized type-4 wind turbines connected to high-impedance AC grid during LVRT ［J］. IEEE Transactions on Energy Conversion ， 2016 ， 31 （ 4 ）： 1676 - 1687 .

XU J M ， XIE S J ， TANG T . Improved control strategy with grid-voltage feedforward for LCL-filter-based inverter connected to weak grid ［J］. IET Power Electronics ， 2014 ， 7 （ 10 ）： 2660 - 2671 .

HUANG Y H ， YUAN X M ， HU J B ， et al . Modeling of VSC connected to weak grid for stability analysis of DC-link voltage control ［J］. IEEE Journal of Emerging and Selected Topics in Power Electronics ， 2015 ， 3 （ 4 ）： 1193 - 1204 .

CESPEDES M ， SUN J . Impedance modeling and analysis of grid-connected voltage-source converters ［J］. IEEE Transactions on Power Electronics ， 2014 ， 29 （ 3 ）： 1254 - 1261 .

WEN B ， BOROYEVICH D ， MATTAVELLI P ， et al . Impedance-based analysis of grid-synchronization stability for three-phase paralleled converters ［J］. IEEE Transactions on Power Electronics ， 2016 ， 31 （ 1 ）： 26 - 38 .

ZHANG Y ， ZHANG C ， CAI X . Large-signal grid-synchronization stability analysis of PLL-based VSCs using Lyapunov’s direct method ［J］. IEEE Transactions on Power Systems ， 2022 ， 37 （ 1 ）： 788 - 791 .

邹文骏 . 新型分布式发电光伏并网逆变器研究［D］. 南昌：华东交通大学， 2017 .

ZOU Wenjun . Research on a novel distributed photovoltaic grid-connected inverter ［D］. Nanchang ： East China Jiaotong University ， 2017 .

ZHANG C ， MOLINAS M ， LI Z ， et al . Synchronizing stability analysis and region of attraction estimation of grid-feeding VSCs using sum-of-squares programming ［J/OL］. Frontiers in Energy Research ， 2020 ， 8 ［ 2021-08-10 ］． https：// doi.org/ 10.3389/fenrg.2020.00056 https://doi.org/10.3389/fenrg.2020.00056 .

CHENG H J ， SHUAI Z K ， SHEN C ， et al . Transient angle stability of paralleled synchronous and virtual synchronous generators in islanded microgrids ［J］. IEEE Transactions on Power Electronics ， 2020 ， 35 （ 8 ）： 8751 - 8765 .

ZHANG Z Q ， SCHUERHUBER R ， FICKERT L ， et al . Domain of attraction’s estimation for grid connected converters with phase-locked loop ［J］. IEEE Transactions on Power Systems ， 2022 ， 37 （ 2 ）： 1351 - 1362 .

XIONG L S ， ZHUO F ， WANG F ， et al . Static synchronous generator model： a new perspective to investigate dynamic characteristics and stability issues of grid-tied PWM inverter ［J］. IEEE Transactions on Power Electronics ， 2016 ， 31 （ 9 ）： 6264 - 6280 .

HE X Q ， GENG H ， XI J B ， et al . Resynchronization analysis and improvement of grid-connected VSCs during grid faults ［J］. IEEE Journal of Emerging and Selected Topics in Power Electronics ， 2021 ， 9 （ 1 ）： 438 - 450 .

GENG H ， LIU L ， LI R Q . Synchronization and reactive current support of PMSG-based wind farm during severe grid fault ［J］. IEEE Transactions on Sustainable Energy ， 2018 ， 9 （ 4 ）： 1596 - 1604 .

ZHANG C ， CAI X ， RYGG A ， et al . Modeling and analysis of grid-synchronizing stability of a type-IV wind turbine under grid faults ［J/OL］. International Journal of Electrical Power & Energy Systems ， 2020 ， 117 ［ 2021-08-10 ］. https：//doi.org/10.1016/j.ijepes.2019.105544 https://doi.org/10.1016/j.ijepes.2019.105544 .

HE X Q ， GENG H ， LI R Q ， et al . Transient stability analysis and enhancement of renewable energy conversion system during LVRT ［J］. IEEE Transactions on Sustainable Energy ， 2020 ， 11 （ 3 ）： 1612 - 1623 .

易相彤，黄文，沈超，等 . 锁相环同步型变流器并联系统暂态同步稳定分析［J/OL］. 中国电机工程学报： 1 - 10 ［ 2022-01-06 ］. http：//kns.cnki.net/kcms/detail/11.2107.TM.20211105.1015.004.html http://kns.cnki.net/kcms/detail/11.2107.TM.20211105.1015.004.html .

YI Xiangtong ， HUANG Wen ， SHEN Chao ， et al . Transient synchronization stability analysis of paralleled converter systems with phase-locked loop ［J/OL］. Proceedings of the CSEE ： 1 - 10 ［ 2021-01-06 ］. http：//kns.cnki.net/kcms/detail/11.2107.TM.20211105.1015.004.html http://kns.cnki.net/kcms/detail/11.2107.TM.20211105.1015.004.html .

FU X K ， HUANG M ， PAN S Z ， et al . Cascading synchronization instability in multi-VSC grid-connected system ［J/OL］. IEEE Transactions on Power Electronics ［ 2021-03-10 ］. https：//ieeexplore.ieee.org/document/9721589 https://ieeexplore.ieee.org/document/9721589 .

WU H ， WANG X F . Design-oriented transient stability analysis of PLL-synchronized voltage-source converters ［J］. IEEE Transactions on Power Electronics ， 2019 ， 35 （ 4 ）： 3573 - 3589 .

ZHAO J T ， HUANG M ， ZHA X M . Transient stability analysis of grid-connected VSIs via PLL interaction ［C］// 2018 IEEE International Power Electronics and Application Conference and Exposition ， November 4-7 ， 2018 ， Shenzhen， China ： 1 - 6 .

WU H ， WANG X F . Transient stability impact of the phase-locked loop on grid-connected voltage source converters ［C］// 2018 International Power Electronics Conference （IPEC-Niigata 2018 -ECCE Asia）， May 20-24 ， 2018 ， Niigata， Japan .

FU X K ， SUN J J ， HUANG M ， et al . Large-signal stability of grid-forming and grid-following controls in voltage source converter： a comparative study ［J］. IEEE Transactions on Power Electronics ， 2021 ， 36 （ 7 ）： 7832 - 7840 .

吴振奎，耿云涛，张继红，等 . 基于“虚拟负阻抗”的微网逆变器并联运行研究［J］. 电测与仪表， 2019 ， 56 （ 10 ）： 21 - 26 .

WU Zhenkui ， GENG Yuntao ， ZHANG Jihong ， et al . Research on virtual negative impedance control of micro-grid inverters in parallel operation ［J］. Electrical Measurement & Instrumentation ， 2019 ， 56 （ 10 ）： 21 - 26 .

张平，石健将，李荣贵，等 . 低压微网逆变器的“虚拟负阻抗”控制策略［J］. 中国电机工程学报， 2014 ， 34 （ 12 ）： 1844 - 1852 .

ZHANG Ping ， SHI Jianjiang ， LI Ronggui ， et al . A control strategy of “virtual negative” impedance for inverters in low-voltage microgrid ［J］. Proceedings of the CSEE ， 2014 ， 34 （ 12 ）： 1844 - 1852 .

TIAN Z ， TANG Y J ， ZHA X M ， et al . Hamilton-based stability criterion and attraction region estimation for grid-tied inverters under large-signal disturbances ［J］. IEEE Journal of Emerging and Selected Topics in Power Electronics ， 2022 ， 10 （ 1 ）： 413 - 423 .

LIU Y S ， HUANG M ， ZHA X M ， et al . Stability analysis of PLL influenced by control loops in grid-connected converters under fault disturbance ［J］. CSEE Journal of Power and Energy Systems ， 2020 ， 6 （ 2 ）： 239 - 248 .

LIU J ， MIURA Y ， ISE T . Comparison of dynamic characteristics between virtual synchronous generator and droop control in inverter-based distributed generators ［J］. IEEE Transactions on Power Electronics ， 2016 ， 31 （ 5 ）： 3600 - 3611 .

张宇，蔡旭，张琛，等 . 并网变换器的暂态同步稳定性研究综述［J］. 中国电机工程学报， 2021 ， 40 （ 5 ）： 1687 - 1701 .

ZHANG Yu ， CAI Xu ， ZHANG Chen ， et al . Transient synchronization stability analysis of voltage source converters： a review ［J］. Proceedings of the CSEE ， 2021 ， 40 （ 5 ）： 1687 - 1701 .

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