DIRECT ALGORITHM FOR STEADY-STATE VOLTAGE STABILITY BOUNDARY CONSIDERING NEW ENERGY POWER FLUCTUATIONS

Li Anran; Zhang Xiangyu

doi:10.19912/j.0254-0096.tynxb.2025-0557

PDF(1267 KB)

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (1) : 406-413. DOI: 10.19912/j.0254-0096.tynxb.2025-0557

DIRECT ALGORITHM FOR STEADY-STATE VOLTAGE STABILITY BOUNDARY CONSIDERING NEW ENERGY POWER FLUCTUATIONS

Li Anran¹, Zhang Xiangyu²

Author information +

History +

Abstract

To address the impact of the uncertainty and volatility of new energy on the steady-state voltage stability margin （SSVSM） of power systems, conventional methods often rely on the Monte Carlo method, which requires repeatedly invoking continuous power flow calculations. This process is computationally inefficient. Therefore, it is of great significance and value to develop a steady-state voltage stability analysis method that balances computational efficiency and accuracy. The paper proposes an affine interval method based on the full derivative direct method to calculate the fluctuation range of the SSVSM affected by intermittent power sources in the system. Using IEEE standard transmission systems for case studies and comparative experiments with similar algorithms demonstrate the high efficiency and accuracy of the proposed method.

Key words

new energy / random processes / voltage stability / interval algorithm / affine arithmetic / numerical methods

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Li Anran, Zhang Xiangyu. DIRECT ALGORITHM FOR STEADY-STATE VOLTAGE STABILITY BOUNDARY CONSIDERING NEW ENERGY POWER FLUCTUATIONS[J]. Acta Energiae Solaris Sinica. 2026, 47(1): 406-413 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0557

References

[1] 周远翔, 陈健宁, 张灵, 等. “双碳”与“新基建”背景下特高压输电技术的发展机遇[J]. 高电压技术, 2021, 47(7): 2396-2408.ZHOU Y X, CHEN J N, ZHANG L, et al. Opportunity for developing ultra high voltage transmission technology under the emission peak, carbon neutrality and new infrastructure[J]. High voltage engineering, 2021, 47(7): 2396-2408.
[2] 张琴琴. 发展新能源要与电力安全统筹兼顾[N]. 家电网报, 2021.03.9(002). DOI:10.28266/n.cnki.ngjdw. 021.000799.ZHANG Q Q. Development of new energy and power security[N]. State Grid News, 2021-03-09(002). DOI10.28266/n.cnki.ngjdw.2021.000799.
[3] 孟高军, 张峰, 徐晓轶, 等. 基于网络安全稳定约束的新能源消纳能力评估方法[J]. 太阳能学报, 2023, 44(11): 505-512.MENG G J, ZHANG F, XU X Y, et al. New energy consumption capacity assessment method based on network securityand stability constraints[J]. Acta energiae solaris sinica, 2023, 44(11): 505-512.
[4] VAN CUTSEM T, GLAVIC M, ROSEHART W, et al.Test systems for voltage stability studies[J]. IEEE transactions on power systems, 2020, 35(5): 4078-4087.
[5] TAYLOR C W, BALU E J, et al.Power system voltage stability[M]. New York: McGraw-Hill, 1994.
[6] 万凯遥, 姜彤. 增补P’Q节点直接计算电压崩溃点的潮流方法[J]. 中国电机工程学报, 2018, 38(12): 3507-3515.WAN K Y, JIANG T. A direct calculation method of voltage collapse points by supplement of a new type of P’Q bus[J]. Proceedings of the CSEE, 2018, 38(12): 3507-3515.
[7] RODRIGUEZ-GARCIA L, PEREZ-LONDONO S, MORA-FLOREZ J.An optimization-based approach for load modelling dependent voltage stability analysis[J]. Electric power systems research, 2019, 177: 105960.
[8] HATZIARGYRIOU N, MILANOVIC J, RAHMANN C, et al.Definition and classification of power system stability-revisited & extended[J]. IEEE transactions on power systems, 2021, 36(4): 3271-3281.
[9] 齐越, 刘道兵. 基于无迹变换法的静态电压稳定域概率分析及应用[J]. 太阳能学报, 2025, 46(3): 151-159.QI Y, LIU D B. Probability analysis and application of static voltage stability region based on unscented transformation[J]. Acta energiae solaris sinica, 2025, 46(3): 151-159.
[10] 任惠, 王希, 田磊, 等. 计及源荷不确定性的电力系统静态电压稳定极限预警方法研究[J]. 太阳能学报, 2024, 45(10): 249-258.REN H, WANG X, TIAN L, et al. Static voltage stability limit warning method for power system accounting for source-load uncertainty[J]. Acta energiae solaris sinica, 2024, 45(10): 249-258.
[11] CANIZARES C A, ALVARADO F L.Point of collapse and continuation methods for large AC/DC systems[J]. IEEE transactions on power systems, 1993, 8(1): 1-8.
[12] CHIANG H D, FLUECK A J, SHAH K S, et al.CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations[J]. IEEE transactions on power systems, 1995, 10(2): 623-634.
[13] 黎晓, 刘崇茹, 蔡晖, 等. 电力系统静态电压稳定临界点的快速计算方法[J]. 华北电力大学学报(自然科学版), 2022, 49(3): 44-54.LI X, LIU C R, CAI H, et al. Fast calculation method for critical point of static voltage stability in power system[J]. Journal of North China Electric Power University (natural science edition), 2022, 49(3): 44-54.
[14] 马瑞, 刘振磊, 贺平平, 等. 考虑源荷频率特性的含风电交直流系统概率连续潮流方法[J]. 电力系统自动化, 2020, 44(6): 27-36.MA R, LIU Z L, HE P P, et al. Probabilistic continuous power flow method for AC/DC systems with wind power considering frequency characteristics of source and load[J]. Automation of electric power systems, 2020, 44(6): 27-36.
[15] WAN K Y, JIANG T.Augmented system for detecting the steady-state voltage stability margin[J]. IET generation, transmission & distribution, 2020, 14(21): 4788-4795.
[16] CANIZARES C A, ALVARADO F L, DEMARCO C L, et al.Point of collapse methods applied to AC/DC power systems[J]. IEEE transactions on power systems, 1992, 7(2): 673-683.
[17] CHIANG H D, JEAN-JUMEAU R.A more efficient formulation for computation of the maximum loading points in electric power systems[J]. IEEE transactions on power systems, 1995, 10(2): 635-646.
[18] 陈昌, 姜彤, 万凯遥, 等. 直接计算静态电压稳定裕度的改进崩溃点法[J]. 电力自动化设备, 2020, 40(11): 150-155.CHEN C, JIANG T, WAN K Y, et al. Improved point of collapse method for direct calculation of static voltage stability margin[J]. Electric power automation equipment, 2020, 40(11): 150-155.
[19] JIANG T, WAN K Y, FENG Z C.Boundary-derivative direct method for computing saddle node bifurcation points in voltage stability analysis[J]. International journal of electrical power & energy systems, 2019, 112: 199-208.
[20] 陈昌, 万凯遥, 姜彤. 考虑不确定性的辐射网静态电压稳定极限的二阶锥优化算法[J]. 中国电机工程学报, 2022, 42(17): 6239-6247.CHEN C, WAN K Y, JIANG T. A conic optimization method for voltage stability assessment of distribution network under uncertainty[J]. Proceedings of the CSEE, 2022, 42(17): 6239-6247.
[21] VACCARO A, CANIZARES C A, VILLACCI D.An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty[J]. IEEE transactions on power systems, 2010, 25(2): 624-632.
[22] DE FIGUEIREDO L H, STOLFI J. Affine arithmetic: concepts and applications[J]. Numerical algorithms, 2004, 37(1): 147-158.
[23] MUÑOZ J, CAÑIZARES C, BHATTACHARYA K, et al. An affine arithmetic-based method for voltage stability assessment of power systems with intermittent generation sources[J]. IEEE transactions on power systems, 2013, 28(4): 4475-4487.
[24] ADUSUMILLI B S, KALYAN KUMAR B.Modified affine arithmetic based continuation power flow analysis for voltage stability assessment under uncertainty[J]. IET generation, transmission & distribution, 2018, 12(18): 4225-4232.
[25] 万凯遥. 静态电压稳定分岔分析及全导数算法研究[D]. 北京: 华北电力大学, 2021.WAN K Y. Bifurcation analysis of steady-state voltage stability and research on full derivative method[D]. Beijing: North China Electric Power University, 2021.
[26] 万凯遥, 姜彤, 冯卓诚, 等. 静态电压稳定分岔点的直接识别算法[J]. 中国电机工程学报, 2020, 40(20): 6548-6557.WAN K Y, JIANG T, FENG Z C, et al. A method of directly identifying the steady-state voltage stability bifurcation[J]. Proceedings of the CSEE, 2020, 40(20): 6548-6557.
[27] 江伟, 王成山, 余贻鑫, 等. 直接计算静态电压稳定临界点的新方法[J]. 中国电机工程学报, 2006, 26(10): 1-6.JIANG W, WANG C S, YU Y X, et al. A new method for direct calculating the critical point of static voltage stability[J]. Proceedings of the CSEE, 2006, 26(10): 1-6.
[28] YAN Z, LIU Y, WU F, et al.Method for direct calculation of quadratic turning points[J]. IEE proceedings: generation, transmission and distribution, 2004, 151(1): 83-89.
[29] DOBSON I, CUTSEM T V, VOURNAS C,et al.Voltage stability assessment: concepts, practices and tools[M]. New Jersey: Power System Stability Subcommittee Special Publication, 2002.
[30] CANIZARES C A.On bifurcations, voltage collapse and load modeling[J]. IEEE transactions on power systems, 1995, 10(1): 512-522.