Three-Stage Dynamic Security-Constrained Coordinated Scheduling of Power Systems

SONG Shan, WANG Peng, TIAN Fangyuan, HUANG Mingyu, SUN Wentao, GE Yi, KANG Chongqing

Electric Power Construction ›› 2026, Vol. 47 ›› Issue (8) : 1-13.

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Electric Power Construction ›› 2026, Vol. 47 ›› Issue (8) : 1-13. DOI: 10.12204/j.issn.1000-7229.2026.08.001
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Three-Stage Dynamic Security-Constrained Coordinated Scheduling of Power Systems

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Abstract

[Objective] High renewable energy penetration exacerbates power-system stability challenges, particularly concerning frequency security and short-circuit current adequacy. Conventional cost-driven scheduling methods may violate these dynamic security limits. However, directly embedding detailed nonlinear security models into scheduling model is computationally prohibitive. This study addresses this gap by proposing a practical and tractable solution framework to ensure the dynamic security of power systems with high renewable energy penetration. [Methods] A rescheduling-based iterative framework is proposed that enforces dynamic security through simulation-guided constraint generation. This method first solves a conventional scheduling model. Subsequently, high-fidelity dynamic security assessments—including frequency-response analysis and short-circuit analysis—are performed on the resulting schedule. Upon detection of security violations, sensitivity-based linear security constraints are generated and incorporated into the scheduling optimization formulation. This process iterates until all dynamic security criteria are satisfied. [Results] Simulations on the HRP-38 test system demonstrate that the proposed approach converges efficiently to schedules that are both secure and economically competitive. It effectively eliminates dynamic security violations while incurring only a modest increase in operational cost, thereby validating its capability to maintain system security while preserving economic efficiency. [Conclusions] The framework presented in this study offers a practical and tractable pathway to reliability-aware scheduling in systems with high renewable penetration.

Key words

source-grid-load-storage coordinated scheduling / dynamic security / re-scheduling / frequency security / short-circuit current

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SONG Shan , WANG Peng , TIAN Fangyuan , et al . Three-Stage Dynamic Security-Constrained Coordinated Scheduling of Power Systems[J]. Electric Power Construction. 2026, 47(8): 1-13 https://doi.org/10.12204/j.issn.1000-7229.2026.08.001

References

[1]
Bistline J E T, Blanford G J. Impact of carbon dioxide removal technologies on deep decarbonization of the electric power sector[J]. Nature Communications, 2021, 12: 3732.
Carbon dioxide removal technologies, such as bioenergy with carbon capture and direct air capture, are valuable for stringent climate targets. Previous work has examined implications of carbon removal, primarily bioenergy-based technologies using integrated assessment models, but not investigated the effects of a portfolio of removal options on power systems in detail. Here, we explore impacts of carbon removal technologies on electric sector investments, costs, and emissions using a detailed capacity planning and dispatch model with hourly resolution. We show that adding carbon removal to a mix of low-carbon generation technologies lowers the costs of deep decarbonization. Changes to system costs and investments from including carbon removal are larger as policy ambition increases, reducing the dependence on technologies like advanced nuclear and long-duration storage. Bioenergy with carbon capture is selected for net-zero electric sector emissions targets, but direct air capture deployment increases as biomass supply costs rise.
[2]
Kroposki B, Johnson B, Zhang Y C, et al. Achieving a 100% renewable grid: operating electric power systems with extremely high levels of variable renewable energy[J]. IEEE Power and Energy Magazine, 2017, 15(2): 61-73.
[3]
马强, 尹纯亚, 秦艳辉, 等. 考虑暂态过电压约束的直流闭锁故障下送端风电调切策略[J]. 电力建设, 2025, 46(12): 159-169.
Ma Qiang, Yin Chunya, Qin Yanhui, et al. Considering the switching strategy of the transmitting wind power to deal with the DC blocking fault under the constraint of transient overvoltage[J]. Electric Power Construction, 2025, 46(12): 159-169.
[4]
陈郑平, 李文忠, 陈飞雄, 等. 分布式资源助力新型电力系统灵活性提升研究综述[J]. 电力工程技术, 2025, 44(2): 145-159.
Chen Zhengping, Li Wenzhong, Chen Feixiong, et al. Summary of research on improving the flexibility of new power systems with distributed resources[J]. Electric Power Engineering Technology, 2025, 44(2): 145-159.
[5]
黎博, 陈民铀, 钟海旺, 等. 高比例可再生能源新型电力系统长期规划综述[J]. 中国电机工程学报, 2023, 43(2): 555-581.
Li Bo, Chen Minyou, Zhong Haiwang, et al. A review of long-term planning of new power systems with large share of renewable energy[J]. Proceedings of the CSEE, 2023, 43(2): 555-581.
[6]
苏舟, 钟鸣睿, 王喆, 等. 基于全生命周期的广义源网荷储一体化的电力系统协调优化配置研究[J]. 电网与清洁能源, 2024, 40(8): 74-84.
Su Zhou, Zhong Mingrui, Wang Zhe, et al. Research on the coordinated and optimized configuration of power systems based on the integration of generalized source network, load and storage over the whole life cycle[J]. Power System and Clean Energy, 2024, 40(8): 74-84.
[7]
Heuberger C F, Mac Dowell N. Real-world challenges with a rapid transition to 100% renewable power systems[J]. Joule, 2018, 2(3): 367-370.
[8]
O’Malley M. Editorial: towards 100% renewable energy system[J]. IEEE Transactions on Power Systems, 2022, 37(4): 3187-3189.
[9]
Delkhosh H, Seifi H. Power system frequency security index considering all aspects of frequency profile[J]. IEEE Transactions on Power Systems, 2021, 36(2): 1656-1659.
Frequency security is an essential issue in power system operation and planning, especially with the increasing penetration level of intermittent and non-synchronous energy sources, which causes insufficiency of inertial and primary frequency responses. Therefore, various studies must observe the frequency security in the problem formulation as objective function and/or constraints. This letter proposes a Frequency Security Index (FSI), which determines the frequency security based on all aspects of the frequency profile. This index presents a quantitative percentage for the frequency security in order to specify the relative distance from the insecure (0%), secure (100%), and absolute secure (200%) conditions. The FSI considers transient and steady-state aspects of frequency security based on the boundaries related to each power system requirements and standards. The applicability, correctness, and sufficiency of the proposed index are demonstrated based on the numerical results of a real large-scale power system.
[10]
王绪利, 潘东, 施天成, 等. 新型电力系统背景下源网荷储一体化项目友好性评估方法[J]. 电网与清洁能源, 2024, 40(1): 72-82.
Wang Xuli, Pan Dong, Shi Tiancheng, et al. A friendliness evaluation method for the source-network-load-storage integration project under the background of new power system[J]. Power System and Clean Energy, 2024, 40(1): 72-82.
[11]
肖祥辉, 林颖, 林子铭, 等. 多样化并网场景下新能源基地稳定控制规划配置技术发展与展望[J]. 电力建设, 2026, 47(3): 64-79.
Xiao Xianghui, Lin Ying, Lin Ziming, et al. Development and prospect of stability control planning and configuration technology for renewable energy bases under diversified grid-connection scenarios[J]. Electric Power Construction, 2026, 47(3): 64-79.
[12]
李璐, 王一, 韩美至, 等. 考虑新能源占比优化的配电网源网荷储协调控制研究[J]. 电网与清洁能源, 2025, 41(1): 123-129.
Li Lu, Wang Yi, Han Meizhi, et al. A study on the coordinated control of source-grid-load-storage of distribution networks considering new energy proportion optimization[J]. Power System and Clean Energy, 2025, 41(1): 123-129.
[13]
杨政校, 张鑫, 杜刃刃, 等. 基于信息间隙决策理论的源网荷储协调优化规划方法[J]. 浙江电力, 2025, 44(7): 113-125.
Yang Zhengxiao, Zhang Xin, Du Renren, et al. A coordinated optimal planning method for generation-grid-load-storage systems based on info-gap decision theory[J]. Zhejiang Electric Power, 2025, 44(7): 113-125.
[14]
Milano F, Dörfler F, Hug G, et al. Foundations and challenges of low-inertia systems[C]// 2018 Power Systems Computation Conference (PSCC). IEEE, 2018: 1-25.
[15]
Wu D, Javadi M, Jiang J N. A preliminary study of impact of reduced system inertia in a low-carbon power system[J]. Journal of Modern Power Systems and Clean Energy, 2015, 3(1): 82-92.
[16]
Chen Y H, Casto A, Wang F Y, et al. Improving large scale day-ahead security constrained unit commitment performance[J]. IEEE Transactions on Power Systems, 2016, 31(6): 4732-4743.
[17]
He C, Wu L, Liu T Q, et al. Robust co-optimization planning of interdependent electricity and natural gas systems with a joint N-1 and probabilistic reliability criterion[J]. IEEE Transactions on Power Systems, 2018, 33(2): 2140-2154.
[18]
Chu Z D, Cui G X, Teng F. Scheduling of software-defined microgrids for optimal frequency regulation[J]. IEEE Transactions on Sustainable Energy, 2024, 15(3): 1715-1728.
[19]
Pathak P K, Yadav A K, Abbassi R, et al. Design of optimal intelligent frequency control approach for autonomous microgrid: a step towards sustainable future[J]. International Journal of Sustainable Energy, 2025, 44(1): 2547700.
[20]
Paturet M, Markovic U, Delikaraoglou S, et al. Stochastic unit commitment in low-inertia grids[J]. IEEE Transactions on Power Systems, 2020, 35(5): 3448-3458.
[21]
张子扬, 张宁, 杜尔顺, 等. 双高电力系统频率安全问题评述及其应对措施[J]. 中国电机工程学报, 2022, 42(1): 1-25.
Zhang Ziyang, Zhang Ning, Du Ershun, et al. Review and countermeasures on frequency security issues of power systems with high shares of renewables and power electronics[J]. Proceedings of the CSEE, 2022, 42(1): 1-25.
[22]
Qi X, Zhao T Y, Liu X, et al. Three-stage stochastic unit commitment for microgrids toward frequency security via renewable energy deloading[J]. IEEE Transactions on Smart Grid, 2023, 14(6): 4256-4267.
[23]
Liu C X, Xin H H, Wu D, et al. Generalized operational short-circuit ratio for grid strength assessment in power systems with high renewable penetration[J]. IEEE Transactions on Power Systems, 2024, 39(4): 5479-5494.
[24]
Zhang F, Xin H H, Wu D, et al. Assessing strength of multi-infeed LCC-HVDC systems using generalized short-circuit ratio[J]. IEEE Transactions on Power Systems, 2019, 34(1): 467-480.
[25]
Yuan H, Xin H H, Wu D, et al. Small-signal stability assessment of multi- converter-based-renewable systems with STATCOMs based on generalized short-circuit ratio[J]. IEEE Transactions on Energy Conversion, 2022, 37(4): 2889-2902.
[26]
Huang L B, Xin H H, Li Z Y, et al. Identification of generalized short-circuit ratio for on-line stability monitoring of wind farms[J]. IEEE Transactions on Power Systems, 2020, 35(4): 3282-3285.
[27]
刘彬, 张昊然, 黄宝莹, 等. 含构网型储能的系统临界短路比指标构建及影响因素[J]. 电力建设, 2026, 47(3): 135-145.
Liu Bin, Zhang Haoran, Huang Baoying, et al. Construction of a critical short-circuit ratio index for systems with grid-forming energy storage and influencing factors[J]. Electric Power Construction, 2026, 47(3): 135-145.
[28]
Zhang Z Y, Du E S, Teng F, et al. Modeling frequency dynamics in unit commitment with a high share of renewable energy[J]. IEEE Transactions on Power Systems, 2020, 35(6): 4383-4395.
[29]
Badesa L, Teng F, Strbac G. Simultaneous scheduling of multiple frequency services in stochastic unit commitment[J]. IEEE Transactions on Power Systems, 2019, 34(5): 3858-3868.
[30]
邬嘉雨, 杨祺铭, 丁苒苒, 等. 高比例可再生能源配电网两阶段自适应鲁棒弹性提升策略[J]. 电力工程技术, 2025, 44(6): 174-182.
Wu Jiayu, Yang Qiming, Ding Ranran, et al. Two stage adaptive robust resilience enhancement strategy for distribution network with high penetration of renewable energy[J]. Electric Power Engineering Technology, 2025, 44(6): 174-182.
[31]
苗秋愿, 邢海军. 基于机会约束的风光荷储热灵活性资源优化调度[J]. 浙江电力, 2025, 44(8): 54-65.
Miao Qiuyuan, Xing Haijun. Optimal scheduling of WPLSH flexibility resources based on chance constraints[J]. Zhejiang Electric Power, 2025, 44(8): 54-65.
[32]
Chu Z D, Zhang N, Teng F. Frequency-constrained resilient scheduling of microgrid: a distributionally robust approach[J]. IEEE Transactions on Smart Grid, 2021, 12(6): 4914-4925.
[33]
Chu Z D, Teng F. Short circuit current constrained UC in high IBG-penetrated power systems[J]. IEEE Transactions on Power Systems, 2021, 36(4): 3776-3785.
[34]
Wang Q, Li F, Tang Y, et al. Integrating model-driven and data-driven methods for power system frequency stability assessment and control[J]. IEEE Transactions on Power Systems, 2019, 34(6): 4557-4568.
[35]
Finegan D P, Zhu J E, Feng X N, et al. The application of data-driven methods and physics-based learning for improving battery safety[J]. Joule, 2021, 5(2): 316-329.
[36]
张磊, 宋坤泽, 叶婧, 等. 计及惯量和风电双重不确定性的两阶段分布鲁棒机组组合[J]. 电力建设, 2026, 47(2): 147-160.
Zhang Lei, Song Kunze, Ye Jing, et al. Two-stage distributionally robust unit commitment considering dual uncertainties of inertia and wind power[J]. Electric Power Construction, 2026, 47(2): 147-160.
[37]
Huang M Y, Cui X Y, Zhang N, et al. Optimal planning of standalone net-zero energy systems with small modular reactors[J]. IEEE Transactions on Smart Grid, 2024, 15(4): 3751-3767.
[38]
Zhuo Z Y, Zhang N, Yang J W, et al. Transmission expansion planning test system for AC/DC hybrid grid with high variable renewable energy penetration[J]. IEEE Transactions on Power Systems, 2020, 35(4): 2597-2608.
[39]
Qin C, Hu X, Zeng Y, et al. Multi-area frequency dynamic constrained unit commitment based on Bernstein polynomial approximation[J]. IEEE Transactions on Power Systems, 2026, 41(4): 2717-2729.

Footnotes

利益冲突声明(Conflict of Interests) 所有作者声明不存在利益冲突。

作者贡献声明(Authors' Contributions) 宋杉提出三阶段再调度基本框架;王鹏设计论文框架;田方媛设计研究方案,并对研究方案进行可行性调查分析;黄明宇实施研究过程;孙文涛设置算例并提供数据;葛毅起草论文并修订论文;康重庆指导研究思路并修订论文。所有作者均阅读并同意了论文终稿内容。

Funding

Science and Technology Project of State Grid Jiangsu Electric Power Co., Ltd.(J2024156)
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