考虑暂态电压稳定和频率安全的机组组合优化方法Unit commitment optimization method considering transient voltage stability and frequency security
汪朔,赵子康,赵晋泉,赵子辰,杨胜春
WANG Shuo,ZHAO Zikang,ZHAO Jinquan,ZHAO Zichen,YANG Shengchun
摘要(Abstract):
为应对高比例新能源接入下电网暂态电压稳定与频率安全裕度下降的问题,提出了一种考虑暂态电压稳定和频率安全的机组组合优化方法。首先,建立电网样本库,提取影响暂态电压稳定的稳态特征,并通过批量时域仿真获得相应的暂态特征。然后,基于符号回归对关键特征变量进行系数拟合,构建具备模型可嵌入性的暂态电压稳定约束;同时,根据频率变化率约束、频率最低点约束和准稳态频率约束构建频率安全约束,并将上述两种约束嵌入机组组合以实现启停方案的快速求解。最后,基于改进IEEE 39节点算例进行仿真分析,结果表明,所提方法能够提升电网稳定裕度,保障电网安全稳定运行。
To address the decline in transient voltage stability and frequency security margins caused by the high penetration of renewable energy, this paper presents an optimized unit commitment(UC) method that incorporates both transient voltage stability and frequency security. First, a grid sample database is established to extract steadystate features that influence transient voltage stability, with corresponding transient characteristics obtained through batch time-domain simulations. Subsequently, symbolic regression is applied to perform coefficient fitting on key feature variables, thereby constructing transient voltage stability constraints suitable for model embedding. Then, frequency security constraints are formulated based on the rate of change of frequency(RoCoF), frequency nadir, and quasi-steady-state frequency boundaries. These two sets of stability constraints are then embedded into the UC framework to enable a computationally efficient solution for unit start-stop schedules. Finally, simulation analysis based on a modified IEEE 39-bus system demonstrates that the proposed method effectively enhances the stability margins of the grid and guarantees its secure and stable operation.
关键词(KeyWords):
机组组合;暂态电压稳定;频率安全;符号回归;数据驱动
unit commitment;transient voltage stability;frequency security;symbolic regression;data-driven
基金项目(Foundation): 国家自然科学基金(2026ZD0809500)
作者(Author):
汪朔,赵子康,赵晋泉,赵子辰,杨胜春
WANG Shuo,ZHAO Zikang,ZHAO Jinquan,ZHAO Zichen,YANG Shengchun
DOI: 10.19585/j.zjdl.202610002
参考文献(References):
- [1]张智刚,康重庆.碳中和目标下构建新型电力系统的挑战与展望[J].中国电机工程学报,2022,42(8):2806-2818.Zhang Zhigang,Kang Chongqing. Challenges and prospects for constructing the new-type power system towards a carbon neutrality future[J].Proceedings of the Chinese Society for Electrical Engineering,2022,42(8):2806-2818.
- [2]孙华东,徐式蕴,许涛,等.电力系统安全稳定性的定义与分类探析[J].中国电机工程学报,2022,42(21):7796-7808.Sun Huadong,Xu Shiyun,Xu Tao,et al.Research on definition and classification of power system security and stability[J].Proceedings of the CSEE,2022,42(21):7796-7808.
- [3]Gu Y J,Green T C. Power system stability with a high penetration of inverter-based resources[J].Proceedings of the IEEE,2023,111(7):832-853.
- [4]张礼浩,刘翔宇,顾雪平,等.新型电力系统频率安全稳定研究综述及展望[J].浙江电力,2024,43(10):12-26.Zhang Lihao,Liu Xiangyu,Gu Xueping,et al.Review and prospects of frequency security and stability research in new-type power systems[J]. Zhejiang Electric Power,2024,43(10):12-26.
- [5]ICS Investigation Expert Panel.Grid Incident in Spain and Portugal on 28 April 2025[R].ENTSO-E,2025.
- [6]舒印彪,汤涌,张正陵,等.欧洲伊比利亚半岛电网“4·28”大停电事故分析及启示[J].中国电机工程学报,2025,45(17):6603-6611.Shu Yinbiao,Tang Yong,Zhang Zhengling,et al.Analysis and lessons of the April 28,2025 blackout in the Iberian Peninsula power system[J]. Proceedings of the CSEE,2025,45(17):6603-6611.
- [7]何希然,荆朝霞,赵昱宣,等.新能源电力系统惯量辅助服务市场机制研究综述与展望[J].电网技术,2025,49(12):4964-4978.He Xiran,Jing Zhaoxia,Zhao Yuxuan,et al. Review and prospect of research on inertia ancillary service market mechanism in the new energy power system[J]. Power System Technology,2025,49(12):4964-4978.
- [8]马骏超,陆承宇,王晨旭,等.新型电力系统惯量特性及其实时感知技术[J].浙江电力,2024,43(2):1-12.Ma Junchao,Lu Chengyu,Wang Chenxu,et al. Inertia characteristics and the real-time sensing technology of new-type power systems[J]. Zhejiang Electric Power,2024,43(2):1-12.
- [9]朱兰,董凯旋,唐陇军,等.计及同步机惯性与储能虚拟惯性价值的电能、惯性及一次调频联合优化出清模型[J].中国电机工程学报,2024,44(19):7543-7554.Zhu Lan,Dong Kaixuan,Tang Longjun,et al.Joint optimal clearing model for electric energy,inertia and primary frequency response considering synchronous inertia and energy storage virtual inertia values[J]. Proceedings of the CSEE,2024,44(19):7543-7554.
- [10]Li K X,Guo H Y,Fang X C,et al.Market mechanism design of inertia and primary frequency response with consideration of energy market[J].IEEE Transactions on Power Systems,2023,38(6):5701-5713.
- [11]况理,文云峰,陆艺丹,等.含虚拟同步机的微电网频率稳定约束优化调度模型研究[J].中国电机工程学报,2022,42(1):71-82.Kuang Li,Wen Yunfeng,Lu Yidan,et al.Frequency stability constrained optimal dispatch model of microgrid with virtual synchronous machines[J].Proceedings of the Chinese Society for Electrical Engineering,2022,42(1):71-82.
- [12]李萌,姚增慧,包博,等.“双高”电力系统暂态电压稳定新问题综述与展望[J].中国电机工程学报,2026,46(2):462-477.Li Meng,Yao Zenghui,Bao Bo,et al.Review and prospect of new transient voltage stability issues in power systems with high proportion of renewables and power electronics[J].Proceedings of the CSEE,2026,46(2):462-477.
- [13]Mohamed A A,Venkatesh B.Linearized voltage stability incorporation with line-wise optimal power flow[J].International Journal of Electrical Power&Energy Systems,2019,108:232-239.
- [14]Chu Z D,Teng F.Voltage stability constrained unit commitment in power systems with high penetration of inverter-based generators[J]. IEEE Transactions on Power Systems,2023,38(2):1572-1582.
- [15]孙华东,于琳,赵兵.基于暂态过电压约束的新能源并网系统电压支撑强度量化分析方法[J].中国电机工程学报,2023,43(11):4207-4217.Sun Huadong,Yu Lin,Zhao Bing.Quantitative analysis of system strength of renewable energy generation gridconnected system based on transient overvoltage constraint[J].Proceedings of the CSEE,2023,43(11):4207-4217.
- [16]Lin Y H,Wang B,Guo Q L,et al.Short-circuit ratio and short-term voltage security constrained unit commitment in high wind power-penetrated power systems[J]. IEEE Transactions on Power Systems,2024,39(4):5631-5644.
- [17]Tan Z F,Yan Z,Zhong H W,et al.Non-iterative solution for coordinated optimal dispatch via equivalent projection:part II:method and applications[J].IEEE Transactions on Power Systems,2024,39(1):899-908.
- [18]Sevilla-romero J U,Pizano-martínez A,Fuerte-esquivel C R,et al. Two-stage transient-stability-constrained optimal power flow for preventive control of rotor angle stability and voltage sags[J]. Journal of Modern Power Systems and Clean Energy,2024,12(5):1357-1369.
- [19]Jiang M,Guo Q L,Sun H B,et al. Short-term voltage stability-constrained unit commitment for receiving-end grid with multi-infeed HVDCs[J].IEEE Transactions on Power Systems,2021,36(3):2603-2613.
- [20]Zhang N,Jia H Y,Hou Q C,et al.Data-driven security and stability rule in high renewable penetrated power system operation[J]. Proceedings of the IEEE,2023,111(7):788-805.
- [21]赵晋泉,夏雪,徐春雷,等.新一代人工智能技术在电力系统调度运行中的应用评述[J].电力系统自动化,2020,44(24):1-10.Zhao Jinquan,Xia Xue,Xu Chunlei,et al.Review on application of new generation artificial intelligence technology in power system dispatching and operation[J].Automation of Electric Power Systems,2020,44(24):1-10.
- [22]Karniadakis G E,Kevrekidis I G,Lu L,et al. Physicsinformed machine learning[J]. Nature Reviews Physics,2021,3(6):422-440.
- [23]刘昱辰,吴浩,董哲润,等.基于稳定指标多项式逼近的参数空间暂态电压稳定域边界确定方法[J].电网技术,2025,49(6):2322-2333.Liu Yuchen,Wu Hao,Dong Zherun,et al.Determination method for transient voltage stability region boundary in parameter space based on polynomial approximation of stability index[J].Power System Technology,2025,49(6):2322-2333.
- [24]Jia H Y,Hou Q C,Yong P,et al. Voltage stability constrained operation optimization:an ensemble sparse oblique regression tree method[J].IEEE Transactions on Power Systems,2024,39(1):160-171.
- [25]Cranmer M,Sanchez-gonzalez A,Battaglia P,et al. Discovering symbolic models from deep learning with inductive biases[EB/OL]. 2020:arXiv:2006.11287. https://arxiv.org/abs/2006.11287.
- [26]Cranmer M. Interpretable machine learning for science with PySR and SymbolicRegression. jl[EB/OL]. 2023:arXiv:2305.01582.https://arxiv.org/abs/2305.01582
- [27]Jia H Y,Hou Q C,Yong P,et al.Learning multiple convex voltage stability constraints for unit commitment[J].IEEE Transactions on Power Systems,2025,40(1):125-137.
- [28]Yun Z H,Cui X H.Online preventive control method for static voltage stability of large power grids[J]. IEEE Transactions on Power Systems,2020,35(6):4689-4698.
- [29]张玺,廖胜利,方舟,等.耦合复杂生态约束的梯级水电短期优化调度标准混合整数线性规划模型[J].电网技术,2025,49(5):2004-2013.Zhang Xi,Liao Shengli,Fang Zhou,et al.A short-term optimal dispatch MILP model of cascade hydropower stations coupled with complex ecological constraints[J].Power System Technology,2025,49(5):2004-2013.
- [30]薛安成,周健,刘瑞煌,等.采用多二元表判据的实用暂态电压稳定裕度指标研究[J].中国电机工程学报,2018,38(14):4117-4125.Xue Ancheng,Zhou Jian,Liu Ruihuang,et al.A new practical transient voltage stability margin index based on multiple-two-element notation criterion[J].Proceedings of the Chinese Society for Electrical Engineering,2018,38(14):4117-4125.
- [31]国家能源局江苏监管局.江苏电力并网运行管理实施细则[EB/OL].(2022-08-02)[2025-11-30].http://jsb.nea.gov.cn/news/2022-8/2022815133228.htm.
- [32]赵利刚,甄鸿越,洪潮,等.交直流电力系统计算分析软件DSP研究与开发[J].南方电网技术,2017,11(4):64-70.Zhao Ligang,Zhen Hongyue,Hong Chao,et al.Research and development of AC/DC power system calculation and analysis software DSP[J].Southern Power System Technology,2017,11(4):64-70.
- 机组组合
- 暂态电压稳定
- 频率安全
- 符号回归
- 数据驱动
unit commitment - transient voltage stability
- frequency security
- symbolic regression
- data-driven