计及光伏渗透率的光伏发电系统并网模型稳定性分析

沈赋, 李施伟, 单节杉, 韩劲苗, 付玉, 翟苏巍

太阳能学报 ›› 2025, Vol. 46 ›› Issue (9) : 571-583.

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太阳能学报 ›› 2025, Vol. 46 ›› Issue (9) : 571-583. DOI: 10.19912/j.0254-0096.tynxb.2024-0875

计及光伏渗透率的光伏发电系统并网模型稳定性分析

  • 沈赋1, 李施伟2, 单节杉1, 韩劲苗2, 付玉1, 翟苏巍3
作者信息 +

STABILITY ANALYSIS OF GRID-CONNECTED PV POWER GENERATION SYSTEM MODEL CONSIDERING PV PENETRATION

  • Shen Fu1, Li Shiwei2, Shan Jieshan1, Han Jinmiao2, Fu Yu1, Zhai Suwei3
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文章历史 +

摘要

针对光伏渗透率对光伏发电系统并网稳定性影响的问题,鉴于太阳能发电的波动特性以及电网对调节能力的需求,提出一种计及光伏渗透率的光伏发电系统并网模型稳定性分析方法。首先,基于光伏发电并网动态模型,建立光伏发电系统状态空间数学模型;然后,采用分数阶微分方程对光伏发电系统的状态空间数学模型进行优化,利用阶跃响应的方法验证状态空间模型的有效性;最后,分别基于IEEE 14节点和IEEE 33节点系统搭建光伏发电并网模型,采用李雅普诺夫稳定性判据分析得出系统稳定时的光伏渗透率阈值。

Abstract

In light of the influence of photovoltaic penetration on the grid-integrated stability of PV systems, and bearing in mind the fluctuating characteristics of solar power generation as well as the grid's requirements for regulation, this paper proposes a stability analysis approach for a grid - connected model of PV systems that takes photovoltaic penetration into consideration. Firstly, considering the impact of photovoltaic penetration on grid-connected PV systems, a state-space mathematical model of PV systems is established based on the dynamic model of grid-connected PV systems. Then, the state-space mathematical model of PV systems is optimized using fractional-order differential equations, and the validity of the state-space model is verified by means of step response. Finally, PV grid connection models are constructed based on the IEEE 14-bus and IEEE 33-bus systems, and the PV penetration threshold is determined using the Lyapunov stability criterion and state-space model analysis.

关键词

光伏发电 / 状态空间模型 / 李雅普诺夫函数 / 不同渗透率 / 渗透率阈值 / 分数阶微分方程

Key words

photovoltaic power generation / state space model / Lyapunov functions / different PV penetration levels / PV penetration threshold / fractional differential equations

引用本文

导出引用
沈赋, 李施伟, 单节杉, 韩劲苗, 付玉, 翟苏巍. 计及光伏渗透率的光伏发电系统并网模型稳定性分析[J]. 太阳能学报. 2025, 46(9): 571-583 https://doi.org/10.19912/j.0254-0096.tynxb.2024-0875
Shen Fu, Li Shiwei, Shan Jieshan, Han Jinmiao, Fu Yu, Zhai Suwei. STABILITY ANALYSIS OF GRID-CONNECTED PV POWER GENERATION SYSTEM MODEL CONSIDERING PV PENETRATION[J]. Acta Energiae Solaris Sinica. 2025, 46(9): 571-583 https://doi.org/10.19912/j.0254-0096.tynxb.2024-0875
中图分类号: TM615   

参考文献

[1] 张姝, 陈豪, 肖先勇. 基于RBF神经网络的光伏并网系统自适应等效建模方法[J]. 电力系统保护与控制, 2024, 52(4): 77-86.
ZHANG S, CHEN H, XIAO X Y. Adaptive equivalent modeling method for photovoltaic grid-connected systems based on an RBF neural network[J]. Power system protection and control, 2024, 52(4): 77-86.
[2] 刘运鑫, 姚良忠, 廖思阳, 等. 光伏渗透率对电力系统静态电压稳定性影响研究[J]. 中国电机工程学报, 2022, 42(15): 5484-5497.
LIU Y X, YAO L Z, LIAO S Y, et al. Study on the impact of photovoltaic penetration on power system static voltage stability[J]. Proceedings of the CSEE, 2022, 42(15): 5484-5497.
[3] 聂飞, 徐海亮, 刘壮壮, 等. 弱电网下三相并网变流系统全线性自抗扰控制及其小干扰稳定性分析[J]. 高电压技术, 2022, 48(1): 199-209.
NIE F, XU H L, LIU Z Z, et al. All LADRC control and small signal stability analysis of three-phase grid-connected converter system under weak AC grid condition[J]. High voltage engineering, 2022, 48(1): 199-209.
[4] 李庆民, 于万水, 赵继尧. 支撑“双碳” 目标的风光发电装备安全运行关键技术[J]. 高电压技术, 2021, 47(9): 3047-3060.
LI Q M, YU W S, ZHAO J Y. Key technologies for the safe operation of wind and solar power generation equipment in support of the “peak CO2 emissions and carbon neutrality” policy[J]. High voltage engineering, 2021, 47(9): 3047-3060.
[5] 李培强, 曾小军, 黄际元, 等. 面向综合负荷的并网光伏发电系统等效建模[J]. 电力系统自动化, 2016, 40(8): 43-50.
LI P Q, ZENG X J, HUANG J Y, et al. Equivalent modeling of grid-connected photovoltaic power generation systems for comprehensive load[J]. Automation of electric power systems, 2016, 40(8): 43-50.
[6] 高晓帆, 田书, 常永强. 一种新的大型光伏并网系统稳定性分析方法[J]. 电力系统保护与控制, 2020, 48(1): 26-32.
GAO X F, TIAN S, CHANG Y Q. A novel stability analysis method for large-scale photovoltaic system[J]. Power system protection and control, 2020, 48(1): 26-32.
[7] 郑超, 王士元, 张波琦, 等. 光伏高渗透电网动态频率特性及应对措施[J]. 电网技术, 2019, 43(11): 4064-4073.
ZHENG C, WANG S Y, ZHANG B Q, et al. Dynamic frequency characteristics and countermeasures of power grid with highly penetrated photovoltaics[J]. Power system technology, 2019, 43(11): 4064-4073.
[8] 田雨果, 王彤, 邢其鹏, 等. 计及虚拟惯量控制与低电压穿越的光伏发电系统暂态稳定分析[J]. 电力系统保护与控制, 2022, 50(2): 52-59.
TIAN Y G, WANG T, XING Q P, et al. Transient stability analysis of a photovoltaic generation system considering virtual inertia control and low voltage ride-through[J]. Power system protection and control, 2022, 50(2): 52-59.
[9] 黄鑫, 易映萍, 范丽君. 大功率光伏并网电流控制器的RTDS建模与仿真[J]. 电源技术, 2016, 40(4): 895-898.
HUANG X, YI Y P, FAN L J. RTDS modeling and simulation of high power photovoltaic grid-connected current controller[J]. Chinese journal of power sources, 2016, 40(4): 895-898.
[10] 闫凯, 张保会, 瞿继平, 等. 光伏发电系统暂态建模与等值[J]. 电力系统保护与控制, 2015, 43(1): 1-8.
YAN K, ZHANG B H, QU J P, et al. Photovoltaic power system transient modeling and equivalents[J]. Power system protection and control, 2015, 43(1): 1-8.
[11] 勾奕昀, 郑竞宏, 刘壮, 等. 基于锁相环相位补偿的光伏逆变器低电压穿越快速无功控制[J]. 电力系统保护与控制, 2024, 52(24): 85-96.
GOU Y Y, ZHENG J H, LIU Z, et al. A low voltage ride-through rapid reactive power control method for a PV inverter based on phase compensation of a phase-locked loop[J]. Power system protection and control, 2024, 52(24): 85-96.
[12] VENKATRAMANAN D, JOHN V.Dynamic modeling and analysis of buck converter based solar PV charge controller for improved MPPT performance[J]. IEEE transactions on industry applications, 2019, 55(6): 6234-6246.
[13] 秦岭, 谢少军, 罗松. 恒压充电模式下独立光伏储能系统的鲁棒稳定控制器设计[J]. 中国电机工程学报, 2018, 38(12): 3451-3460.
QIN L, XIE S J, LUO S. Design of robust controller for stand-alone photovoltaic energy storage system in constant voltage charging mode[J]. Proceedings of the CSEE, 2018, 38(12): 3451-3460.
[14] 高家元, 黄帅, 姜飞, 等. 弱电网下基于比例权重的控制环参数自适应调整并网逆变器稳定性提升方法[J]. 电工技术学报, 2024, 39(24): 7846-7859.
GAO J Y, HUANG S, JIANG F, et al. Stability improvement method of grid-connected inverter based on proportional weight control loop parameters adaptive adjustment under weak grid[J]. Transactions of China Electrotechnical Society, 2024, 39(24): 7846-7859.
[15] 孙振奥, 杨子龙, 王一波, 等. 光伏并网逆变器集群的谐振原因及其抑制方法[J]. 中国电机工程学报, 2015, 35(2): 418-425.
SUN Z A, YANG Z L, WANG Y B, et al. The cause analysis and suppression method of resonances in clustered grid-connected photovoltaic inverters[J]. Proceedings of the CSEE, 2015, 35(2): 418-425.
[16] 易桂平, 黄慧春, 胡仁杰. 基于LCL输出滤波器的双环控制并网逆变器研究[J]. 太阳能学报, 2016, 37(1): 40-46.
YI G P, HUANG H C, HU R J. Survey on dual-loop control strategy of grid-connected inverter with a LCL output filter[J]. Acta energiae solaris sinica, 2016, 37(1): 40-46.
[17] 赵波, 肖传亮, 徐琛, 等. 基于渗透率的区域配电网分布式光伏并网消纳能力分析[J]. 电力系统自动化, 2017, 41(21): 105-111.
ZHAO B, XIAO C L, XU C, et al. Penetration based accommodation capacity analysis on distributed photovoltaic connection in regional distribution network[J]. Automation of electric power systems, 2017, 41(21): 105-111.
[18] 杨龙月, 任烜辰, 蔡智鹏, 等. 高光伏渗透率配电网电压控制策略研究综述[J]. 电网技术, 2024, 48(12): 5056-5070.
YANG L Y, REN X C, CAI Z P, et al. Review on voltage control strategies for high PV penetration distribution networks[J]. Power system technology, 2024, 48(12): 5056-5070.
[19] 刘可真, 陈雪鸥, 陈镭丹, 等. 光伏发电系统动态离散等值模型研究[J]. 上海交通大学学报, 2023, 57(4): 412-421.
LIU K Z, CHEN X O, CHEN L D, et al. Dynamic discrete equivalent model of photovoltaic power generation system[J]. Journal of Shanghai Jiao Tong University, 2023, 57(4): 412-421.
[20] 马亚辉, 李欣然, 李小菊, 等. 并网光伏发电系统的动态模型研究[J]. 太阳能学报, 2013, 34(11): 1860-1867.
MA Y H, LI X R, LI X J, et al. Research on the dynamic model of grid connected pv generation system[J]. Acta energiae solaris sinica, 2013, 34(11): 1860-1867.
[21] 郑征, 魏梦雨, 李绍令, 等. 基于李雅普诺夫直接法的MMC控制策略研究[J]. 电力系统保护与控制, 2024, 52(19): 35-46.
ZHENG Z, WEI M Y, LI S L, et al. MMC control strategy based on a direct Lyapunov method[J]. Power system protection and control, 2024, 52(19): 35-46.
[22] 肖朝霞, 赵倩宇, 方红伟. 逆变型微网状态空间方程的分析与建立[J]. 电力系统自动化, 2015, 39(2): 39-45.
XIAO Z X, ZHAO Q Y, FANG H W. Analysis and establishment of state-space equations for inverter-interfaced microgrid[J]. Automation of electric power systems, 2015, 39(2): 39-45.
[23] 周保荣, 张野, 张庆华, 等. 基于状态空间描述的频率相关等值阻抗和导纳形式转换方法研究[J]. 电力系统保护与控制, 2018, 46(7): 90-95.
ZHOU B R, ZHANG Y, ZHANG Q H, et al. Study on transformation of FDNE forms between impedance and admittance based on state space description[J]. Power system protection and control, 2018, 46(7): 90-95.
[24] 李啸骢, 侯立亮, 罗雪丽, 等. 三相逆变并网系统的分数阶建模与控制器设计研究[J]. 太阳能学报, 2023, 44(3): 415-424.
LI X C, HOU L L, LUO X L, et al. Research on fractional modeling and controller design of three-phase inverter grid-connected system[J]. Acta energiae solaris sinica, 2023, 44(3): 415-424.
[25] 杨莉, 丁菊霞, 黄天民, 等. 受扰分数阶直驱风电机组混沌运动的H鲁棒控制[J]. 太阳能学报, 2023, 44(3): 46-54.
YANG L, DING J X, HUANG T M, et al. H robust control for chaotic motion of fractional order d-PMSG with load disturbance[J]. Acta energiae solaris sinica, 2023, 44(3): 46-54.
[26] XIAO M, TAO B B, ZHENG W X, et al.Fractional-order PID controller synthesis for bifurcation of fractional-order small-world networks[J]. IEEE transactions on systems, man, and cybernetics: systems, 2021, 51(7): 4334-4346.
[27] WEI Y.Lyapunov stability theory for nonlinear noble fractional order systems[J]. IEEE transactions on circuits and systems Ⅱ: express briefs, 2021, 68(10): 3246-3250.
[28] 张鑫, 赖伟坚, 林泽宏, 等. 光伏逆变器无源分数阶滑动模态控制器设计[J]. 电力系统保护与控制, 2019, 47(24): 145-153.
ZHANG X, LAI W J, LIN Z H, et al. Passive fractional-order sliding-mode controller design for PV inverters[J]. Power system protection and control, 2019, 47(24): 145-153.

基金

国家自然科学基金(52107097); 云南省兴滇英才支持计划(KKRD202204021); 云南省应用基础研究计划(202501AT070350)

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