Proportional-Integral Parameter Design for Inverter Based on D-Partition Method and Its Stability Region Analysis in Weak Grid

Ming LI; Xing ZHANG; Zixuan GUO; Mingyao MA; Fei LI; Wei ZHAO

doi:10.7500/AEPS20200120003

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Proportional-Integral Parameter Design for Inverter Based on D-Partition Method and Its Stability Region Analysis in Weak Grid

Application Research | 更新时间：2025-06-16

- Proportional-Integral Parameter Design for Inverter Based on D-Partition Method and Its Stability Region Analysis in Weak Grid
- Automation of Electric Power Systems Vol. 44, Issue 15, Pages: 139-147(2020)
- 作者机构：
  
  1. 可再生能源接入电网技术国家地方联合工程实验室(合肥工业大学)，安徽省合肥市 230009
  2. 阳光电源股份有限公司，安徽省合肥市 230088
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China;National Natural Science Foundation of China-State Grid Joint Fund for Smart Grid
- DOI：10.7500/AEPS20200120003
  CLC：
- Received：20 January 2020，
  
  Revised：2020-02-29，
  
  Published Online：02 June 2020，
  
  Published：10 August 2020
- 稿件说明：
移动端阅览
李明,张兴,郭梓暄等.弱电网下基于D分割法的逆变器PI参数设计及稳定域分析[J].电力系统自动化,2020,44(15):139-147.

LI Ming,ZHANG Xing,GUO Zixuan,et al.Proportional-Integral Parameter Design for Inverter Based on D-Partition Method and Its Stability Region Analysis in Weak Grid[J].Automation of Electric Power Systems,2020,44(15):139-147.
李明,张兴,郭梓暄等.弱电网下基于D分割法的逆变器PI参数设计及稳定域分析[J].电力系统自动化,2020,44(15):139-147. DOI： 10.7500/AEPS20200120003.

LI Ming,ZHANG Xing,GUO Zixuan,et al.Proportional-Integral Parameter Design for Inverter Based on D-Partition Method and Its Stability Region Analysis in Weak Grid[J].Automation of Electric Power Systems,2020,44(15):139-147. DOI： 10.7500/AEPS20200120003.

摘要

随着新能源装机容量和渗透率的增加，电网逐渐呈现出较大等效电网阻抗的弱电网特性，此时常规强电网下设计的并网逆变器比例-积分（PI）参数往往会引起系统谐振等不稳定问题。针对弱电网下如何优化设计并网逆变器PI参数的问题，常规方法往往需要近似处理或反复试凑，而且无法结合多个性能指标进行参数整定。因此，文中基于D分割法得到了弱电网下的并网逆变器同时满足相角裕度、幅值裕度、电流环带宽和短路比等多性能指标下的PI参数稳定域，并通过图形可视化地表现出来，从而快速、准确地获取弱电网下的PI参数，避免了反复试凑。最后，得出了弱电网下的并网逆变器即使将锁相环带宽设置得很低，其PI参数也需要合理进行设计和选取才能使其稳定、高效运行的结论，并基于30 kW实验平台验证了该设计方法和结论的正确性。

Abstract

With the increase of installed capacity and penetration rate of renewable energy

the power grid gradually exhibits the characteristics of weakness with large equivalent grid impedance. Proportional-integral (PI) parameters of grid-connected inverter designed under the conventional strong grid often cause system resonance or other instability problems. To optimize the design of PI parameters for grid-connected inverter in a weak grid

the conventional method requires approximate processing or repeated trial and error

and cannot combine multiple performance indices for parameter setting. So

the stability region of PI parameters for the grid-connected inverter in a weak grid is obtained based on the D-partition method

which satisfies the multi-performance indices

such as phase margin

amplitude margin

current-loop bandwidth and short-circuit ratio

etc. And it can be visualized by graphics

so as to quickly and accurately obtain PI parameters of weak grid

avoiding repeated trial and error. Finally

it is concluded that even the bandwidth of phase-locked loop is set very low

the PI parameters of the grid-connected inverter need to be reasonably designed and selected to make the inverter operate stably and efficiently. The validity of this design method and conclusion is verified by 30 kW experimental platform.

关键词

Keywords

references

徐路遥 , 兰洲 , 陈飞 , 等 . 弱电网下无功控制对并网变流器稳定性影响分析 [J]. 电力系统自动化 , 2019 , 43 ( 15 ): 56 - 63 .

XU Luyao , LAN Zhou , CHEN Fei , et al . Analysis on impact of reactive power control on stability of grid-connected converter in weak grid [J]. Automation of Electric Power Systems , 2019 , 43 ( 15 ): 56 - 63 .

马兴 , 徐瑞林 , 陈民铀 , 等 . 弱电网下并网逆变器自适应 H ∞ 控制方法 [J]. 电力系统自动化 , 2018 , 42 ( 13 ): 189 - 195 .

MA Xing , XU Ruilin , CHEN Minyou , et al . Adaptive H ∞ control method for grid-connected inverters in weak grid [J]. Automation of Electric Power Systems , 2018 , 42 ( 13 ): 189 - 195 .

张学广 , 伏思达 , 付志超 , 等 . 弱电网下基于电压扰动补偿的并网变换器改进控制方法 [J]. 电力系统自动化 , 2019 , 43 ( 18 ): 137 - 144 .

ZHANG Xueguang , FU Sida , FU Zhichao , et al . Improved control method of grid-connected converter based on voltage disturbance compensation in weak grid [J]. Automation of Electric Power Systems , 2019 , 43 ( 18 ): 137 - 144 .

张学广，夏丹妮，陈文佳，等 . 三相并网变流器弱电网下频率耦合抑制控制方法 [J]. 电工技术学报， 2019 ， 34 ( 21 ): 4559 - 4571 .

ZHANG Xueguang ， XIA Danni ， CHEN Wenjia ， et al . Frequency coupling suppression control method for three-phase grid-connected converter under weak grid [J]. Transactions of China Electrotechnical Society ， 2019 ， 34 ( 21 ): 4559 - 4571 .

李光辉 , 王伟胜 , 刘纯 , 等 . 直驱风电场接入弱电网宽频带振荡机理与抑制方法(一)：宽频带阻抗特性与振荡机理分析 [J]. 中国电机工程学报 , 2019 , 39 ( 22 ): 6547 - 6561 .

LI Guanghui , WANG Weisheng , LIU Chun , et al . Mechanism analysis and suppression method of wideband oscillation of PMSG wind farms connected to weak grid: Part Ⅰ analysis of wideband impedance characteristics and oscillation mechanism [J]. Proceedings of the CSEE , 2019 , 39 ( 22 ): 6547 - 6561 .

方天治，黄淳，陈乃铭，等 . 一种提高弱电网下LCL型并网逆变器鲁棒性的相位超前补偿策略 [J]. 电工技术学报， 2018 ， 33 ( 20 ): 4813 - 4822 .

FANG Tianzhi ， HUANG Chun ， CHEN Naiming ， et al . A Phase-lead compensation strategy on enhancing robustness of LCL-type grid-tied inverters under weak grid conditions [J]. Transactions of China Electrotechnical Society ， 2018 ， 33 ( 20 ): 4813 - 4822 .

陈燕东 , 王伊 , 周乐明 , 等 . 弱电网下LCL逆变器阻尼谐振抑制与功率快速调节方法 [J]. 电工技术学报 , 2018 , 33 ( 11 ): 2564 - 2574 .

CHEN Yandong , WANG Yi , ZHOU Leming , et al . Damping resonance suppression and fast power regulation method for LCL-type inverter under weak grid [J]. Transactions of China Electrotechnical Society , 2018 , 33 ( 11 ): 2564 - 2574 .

李绍阶 , 王玮 , 唐芬 , 等 . 基于阻抗模型的并网变流器低频振荡机理研究 [J]. 电网技术 , 2018 , 42 ( 9 ): 2787 - 2796 .

LI Shaojie , WANG Wei , TANG Fen , et al . Low frequency oscillation mechanism of grid-connected converter based on impedance model [J]. Power System Technology , 2018 , 42 ( 9 ): 2787 - 2796 .

MIDTSUND T , SUUL J A , UNDELAND T . Evaluation of current controller performance and stability for voltage source converters connected to a weak grid [C]// 2nd IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG), June 16-18 , 2010 , Hefei , China .

CAO X , LIU G , XU W , et al . Adaptive quasi-PRD control method of grid-connected PV inverter under weak grid [C]// 2015 9th International Conference on Power Electronics and ECCE Asia , June 1 - 5 , 2015 , Seoul, South Korea.

LISERRE M , TEODORESCU R , BLAABJERG F . Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values [J]. IEEE Transactions on Power Electronics , 2006 , 21 ( 1 ): 263 - 271 .

XIE S , XU 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 .

CHUNG S K . A phase tracking system for three phase utility interface inverters [J]. IEEE Transactions on Power Electronics , 2000 ， 15 ( 3 ): 431 - 438 .

DONG D , WEN B , BOROYEVICH D , et al . Analysis of phase-locked loop low-frequency stability in three-phase grid-connected power converters considering impedance interactions [J]. IEEE Transactions on Industrial Electronics , 2015 , 62 ( 1 ): 310 - 321 .

CESPEDES M , SUN J . Adaptive control of grid-connected inverters based on online grid impedance measurements [J]. IEEE Transactions on Sustainable Energy , 2014 , 5 ( 2 ): 516 - 523 .

WEN B , DONG D , BOROYEVICH D , 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 .

WANG X , HARNEFORS L , BLAABJERG F . Unified impedance model of grid-connected voltage-source converters [J]. IEEE Transactions on Power Electronics , 2018 , 33 ( 2 ): 1775 - 1787 .

ZHANG X , XIA D , FU Z , et al . An improved feedforward control method considering PLL dynamics to improve weak grid stability of grid-connected inverters [J]. IEEE Transactions on Industry Applications , 2018 , 54 ( 5 ): 5143 - 5151 .

ZHOU J Z , DING H , FAN S , et al . Impact of short-circuit ratio and phase-locked-loop parameters on the small-signal behavior of a VSC-HVDC converter [J]. IEEE Transactions on Power Delivery , 2014 , 29 ( 5 ): 2287 - 2296 .

DANNEHL J , FUCHS FW , THØGERSEN PB . PI state space current control of grid-connected PWM converters with LCL filters [J]. IEEE Transactions on Power Electronics , 2010 , 25 ( 9 ): 2320 - 2330 .

重庆大学 . 基于极点配置的三相LCL型并网逆变器控制系统及方法： 201310449942.3 [P]. 2013-09-27 .

Chongqing University . Control system and method of three-phase LCL grid-connected inverter based on pole assignment ： 201310449942.3 [P]. 2013-09-27 .

YIN J , DUAN S , YAN Z , et al . A novel parameter design method of dual-loop control strategy for grid-connected inverters with LCL filter [C]// Proceedings of 2009 IEEE 6th International Power Electronics and Motion Control Conference , May 17 - 20 , 2009 , Wuhan, China.

TWINING E , HOLMES D G . Grid current regulation of a three-phase voltage source inverter with an LCL input filter [J]. IEEE Transactions on Power Electronics , 2003 , 18 ( 3 ): 888 - 895 .

黄现莲 , 冯向东 . 增强变流器对电网阻抗适应性的陷波前馈控制 [J]. 电气传动 , 2017 , 47 ( 10 ): 24 - 28 .

HUANG Xianlian , FENG Xiangdong . Notch filter based grid-voltage feedforward control for enhancing grid-connected converter’s adaptive capacity to grid impedance variation [J]. Electric Drive , 2017 , 47 ( 10 ): 24 - 28 .

HWANG C , HWANG L F , HWANG J H . Robust D-partition [J]. Journal of the Chinese Institute of Engineers , 2010 , 33 ( 6 ): 811 - 821 .

JINGGONG L , YALI X , DONGHAI L . Calculation of PI controller stable region based on D-partition method [C]// ICCAS 2010, October 27-30 , 2010 , Gyeonggi-do , South Korea .

ZHENG W , MA H , HE X . Modeling , analysis , and implementation of real time network controlled parallel multi-inverter systems [C]// Proceedings of the 7th International Power Electronics and Motion Control Conference, June 2-5 ， 2012 , Harbin , China .

SUN J . Impedance-based stability criterion for grid-connected inverters [J]. IEEE Transactions on Power Electronics , 2011 , 26 ( 11 ): 3075 - 3078 .

JIAN S , BING Z , KARIMI K J . Input impedance modeling of multipulse rectifiers by harmonic linearization [J]. IEEE Transactions on Power Electronics , 2010 , 24 ( 12 ): 2812 - 2820 .

CESPEDES M , JIAN S . Impedance modeling and analysis of grid-connected voltage-source converters [J]. IEEE Transactions on Power Electronics , 2014 , 29 ( 3 ): 1254 - 61 .

CESPEDES M . Impedance modeling , analysis , and adaptation of grid-connected inverters with PLL [EB/OL]. [ 2020-01-05 ]. https://search.proquest.com/docview/1659793484 https://search.proquest.com/docview/1659793484 .

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