PROBABILITY ANALYSIS AND APPLICATION OF STATIC VOLTAGE STABILITY REGION BASED ON UNSCENTED TRANSFORMATION

Qi Yue, Liu Daobing

Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (3) : 151-159.

PDF(1677 KB)
Welcome to visit Acta Energiae Solaris Sinica, Today is
PDF(1677 KB)
Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (3) : 151-159. DOI: 10.19912/j.0254-0096.tynxb.2023-1824

PROBABILITY ANALYSIS AND APPLICATION OF STATIC VOLTAGE STABILITY REGION BASED ON UNSCENTED TRANSFORMATION

  • Qi Yue1,2, Liu Daobing1
Author information +
History +

Abstract

In order to reflect the impact of renewable energy uncertainty on static voltage stability, a probabilistic analysis method of SVSR based on the unscented transformation method (UTM) is proposed. Firstly, the probability model of SVSR is established by considering the stochasticity of renewable energy generation; then, the stochastic problem is converted into a deterministic problem by the UTM, the probabilistic characteristic of the SVSR are quickly calculated, and the probabilistic characteristics of the system's static voltage stability are analyzed by the probabilistic indexes, and the system's static voltage stability is optimized based on the probabilistic indexes. Finally, an arithmetic example is analyzed by IEEE 30 bus test system to verify the efficiency and accuracy of the method proposed in this paper.

Key words

electric power systems / renewable energy / uncertainty analysis / static voltage stability region / unscented transformation / multiobjective optimization

Cite this article

Download Citations
Qi Yue, Liu Daobing. PROBABILITY ANALYSIS AND APPLICATION OF STATIC VOLTAGE STABILITY REGION BASED ON UNSCENTED TRANSFORMATION[J]. Acta Energiae Solaris Sinica. 2025, 46(3): 151-159 https://doi.org/10.19912/j.0254-0096.tynxb.2023-1824

References

[1] 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 X R, HE J B, MAO H Y, 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.
[2] 李伟琦, 王维庆, 王海云, 等. 基于安全域理论的含新能源电力系统概率潮流分析方法[J]. 太阳能学报, 2022, 43(8): 1-7.
LI W Q, WANG W Q, WANG H Y, et al.Probabilistic power flow analysis method for power system with renewable energy based on security region theory[J]. Acta energiae solaris sinica, 2022, 43(8): 1-7.
[3] 刘道兵, 齐越, 李世春, 等. 考虑极限诱导分岔的静态电压稳定域[J]. 中国电力, 2024, 57(4): 118-129.
LIU D B, QI Y, LI S C, et al.Static voltage stability region considering limit induced bifurcation[J]. Electric power, 2024, 57(4): 118-129.
[4] HAMON C, PERNINGE M, SODER L.A stochastic optimal power flow problem with stability constraints: Part I: approximating the stability boundary[J]. IEEE transactions on power systems, 2013, 28(2): 1839-1848.
[5] QIU Y W, WU H, ZHOU Y Z, et al.Global parametric polynomial approximation of static voltage stability region boundaries[J]. IEEE transactions on power systems, 2017, 32(3): 2362-2371.
[6] 冯卓诚, 万凯遥, 姜彤. 基于渐近数值法的静态电压稳定域边界高阶拟合方法[J]. 电力系统自动化, 2020, 44(7): 100-106.
FENG Z C, WAN K Y, JIANG T.High-order fitting method of boundary for static voltage stability region based on asymptotic numerical method[J]. Automation of electric power systems, 2020, 44(7): 100-106.
[7] XIE Z Q, JI T Y, LI M S, et al.Quasi-Monte Carlo based probabilistic optimal power flow considering the correlation of wind speeds using copula function[J]. IEEE transactions on power systems, 2018, 33(2): 2239-2247.
[8] 赵真, 袁旭峰, 徐玉韬, 等. 一种改进三点估计法的概率潮流计算方法[J]. 南方电网技术, 2020, 14(11): 43-48.
ZHAO Z, YUAN X F, XU Y T, et al.An improved three-point estimate method for probability load flow calculation[J]. Southern power system technology, 2020, 14(11): 43-48.
[9] 康文韬, 霍永胜. 计及风电、光伏不确定性和相关性的潮流特性分析[J]. 现代电力, 2022, 39(2): 246-252.
KANG W T, HUO Y S.Analysis on the power flow characteristics considering uncertainty and correlation of wind power and photovoltaic station[J]. Modern electric power, 2022, 39(2): 246-252.
[10] JULIER S J, UHLMANN J K.Unscented filtering and nonlinear estimation[J]. Proceedings of the IEEE, 2004, 92(3): 401-422.
[11] 唐文静, 唐俊杰, 林星宇, 等. 基于外网静态等值与无迹变换法的互联电网概率潮流计算[J]. 电力系统自动化, 2023, 47(10): 117-127.
TANG W J, TANG J J, LIN X Y, et al.Probabilistic power flow calculation for interconnected power grid based on external network static equivalent and unscented transformation method[J]. Automation of electric power systems, 2023, 47(10): 117-127.
[12] 代景龙, 韦化, 鲍海波, 等. 基于无迹变换含分布式电源系统的随机潮流[J]. 电力自动化设备, 2016, 36(3): 86-93.
DAI J L, WEI H, BAO H B, et al.Stochastic power flow calculation based on unscented transform for power system with distributed generations[J]. Electric power automation equipment, 2016, 36(3): 86-93.
[13] 杨顺吉, 李庆生, 明志勇, 等. 考虑源荷随机性的配电网多目标概率无功优化[J]. 南方电网技术, 2023, 17(1): 125-135.
YANG S J, LI Q S, MING Z Y, et al.Multi-objective probabilistic reactive power optimization of distribution network considering the randomness of source and load[J]. Southern power system technology, 2023, 17(1): 125-135.
[14] 徐一帆, 董树锋, 毛航银, 等. 基于无迹变换法的配电网电压稳定指标概率分析及应用[J]. 中国电机工程学报, 2020, 40(S1): 47-55.
XU Y F, DONG S F, MAO H Y, et al.Probability analysis and application of voltage stability index of distribution network based on unscented transformation[J]. Proceedings of the CSEE, 2020, 40(S1): 47-55.
[15] 李文升, 魏佳, 曹永吉, 等. 基于概率最优潮流的电力系统灵活性量化评估方法[J]. 现代电力, 2024, 41(5): 832-843.
LI W S, WEI J, CAO Y J, et al.A quantitative assessment method for power system flexibility based on probabilistic optimal power flow[J]. Modern electric power, 2024, 41(5): 832-843.
[16] 吴亚宁, 罗毅, 雷成, 等. 基于改进型PEM和L指标的含风电场电力系统静态电压稳定评估[J]. 中国电力, 2022, 55(9): 192-203.
WU Y N, LUO Y, LEI C, et al.Steady-state voltage stability evaluation of power system containing wind farm based on improved PEM and L index[J]. Electric power, 2022, 55(9): 192-203.
[17] 李雪, 张琳玮, 姜涛, 等. 基于拉格朗日乘子的电力系统安全域边界通用搜索方法[J]. 中国电机工程学报, 2021, 41(15): 5139-5153.
LI X, ZHANG L W, JIANG T, et al.General algorithm for exploring security region boundary in power systems using Lagrange multiplier[J]. Proceedings of the CSEE, 2021, 41(15): 5139-5153.
[18] 徐成司, 王子翰, 董树锋, 等. 基于潮流雅可比行列式的静态电压稳定分析[J]. 中国电机工程学报, 2022, 42(6): 2096-2109.
XU C S, WANG Z H, DONG S F, et al.Static voltage stability analysis based on power flow Jacobian determinant[J]. Proceedings of the CSEE, 2022, 42(6): 2096-2109.
[19] 苏宜强, 刘盛松. 静态安全域约束的多区域大规模新能源接纳能力研究与应用[J]. 中国电力, 2021, 54(9): 165-175.
SU Y Q, LIU S S.Research and application of multi-area large-scale new energy integration capability with steady-state security region constraints[J]. Electric power, 2021, 54(9): 165-175.
[20] 尹青, 杨洪耕, 马晓阳. 含大规模风电场的电网概率无功优化调度[J]. 电网技术, 2017, 41(2): 514-520.
YIN Q, YANG H G, MA X Y.Probabilistic optimal reactive power dispatch of power grid with large-scale wind farm integration[J]. Power system technology, 2017, 41(2): 514-520.
[21] 谭心, 朱振经, 孙国鑫, 等. 基于模糊层次分析法的太阳能-空气源热泵复合供暖系统多目标优化[J]. 太阳能学报, 2022, 43(10): 94-103.
TAN X, ZHU Z J, SUN G X, et al.Multi-objective optimization of air-solar source heat pump combined heating system based on fuzzy analytic hierarch process[J]. Acta energiae solaris sinica, 2022, 43(10): 94-103.
[22] 谢姿, 张惠娟, 刘琪, 等. 考虑蓄电池寿命的分布式电源容量优化配置[J]. 太阳能学报, 2021, 42(10): 424-430.
XIE Z, ZHANG H J, LIU Q, et al.Optimal configuration of distributed power supply capacity considering battery life[J]. Acta energiae solaris sinica, 2021, 42(10): 424-430.
[23] XUE J K, SHEN B.Dung beetle optimizer: a new meta-heuristic algorithm for global optimization[J]. The journal of supercomputing, 2023, 79(7): 7305-7336.
PDF(1677 KB)

Accesses

Citation

Detail

Sections
Recommended

/