Page 154 - 《中国电力》2026年第5期

第 59 卷 第 5 期 Vol. 59, No. 5
2026 年 5 月 ELECTRIC POWER May 2026

引用格式：陈鸿琳, 罗澍忻, 徐蔚, 等. 考虑解析化动态频率约束的输-储协同鲁棒规划方法[J]. 中国电力, 2026, 59(5): 150−163.
Citation: CHEN Honglin, LUO Shuxin, XU Wei, et al. A robust coordinated planning method for transmission system and storage considering
analytical frequency dynamics constraints[J]. Electric Power, 2026, 59(5): 150−163.

考虑解析化动态频率约束的输-储协同鲁棒规划方法

陈鸿琳 ，罗澍忻 ，徐蔚 ，吴广大 ，王诗超 2
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1
1
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(1. 广东电网有限责任公司电网规划研究中心，广东省 广州市 510080；
2. 中国能源建设集团广东省电力设计研究院有限公司，广东省 广州市 510663)
A robust coordinated planning method for transmission system and storage
considering analytical frequency dynamics constraints

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CHEN Honglin , LUO Shuxin , XU Wei , WU Guangda , WANG Shichao 2
1
1
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(1. Power Grid Planning Research Center, Guangdong Power Grid Co., Ltd., Guangzhou, Guangdong 510080, China; 2. China Energy
Engineering Group Guangdong Electric Power Design Institute Co., Ltd., Guangzhou, Guangdong 510663, China)

Abstract: To address the challenges posed by the uncertainty system demonstrate that the proposed method can enhance
of offshore wind power output to power system frequency system frequency security, effectively alleviate line
security and transmission network planning, this paper proposes overloading, and yield planning schemes with favorable
a transmission-storage coordinated robust planning method economic efficiency and robustness.
considering analytical dynamic frequency constraints. First, a This work is supported by Unified Power Transmission
bi-level optimization framework is formulated, consisting of Planning Project for Offshore Wind Power in the State-
upper-level transmission network planning and lower-level Managed Sea Areas of Shantou and Chaozhou (No.031000QQ
operation scheduling; the upper level aims to minimize the total 00240024); Smart Grid-National Science and Technology
system investment and operation cost while planning Major Project (No.2025ZD0805304).
transmission lines that satisfy load rate constraints, and the Keywords: transmission network; offshore wind power;
lower level considers the coordinated operation of the frequency dynamics constraints; bi-level programming; CVaR;
transmission network and energy storage system (ESS) with distributionally robust optimization
frequency response modeling to guarantee dynamic frequency
security under disturbances. Then, the bi-level model is 摘 要：为应对海上风电出力不确定性对电力系统频率
transformed into a tractable single-level model via strong 安全与输电网规划带来的挑战，提出了一种考虑解析化
duality theory. Furthermore, an adversarial scenario generation 动态频率约束的输-储协同鲁棒规划方法。首先，构建了
(ASG) method is employed to construct extreme risk scenarios, 包 含 输 电 网 上 层 规 划 与 下 层 运 行 调 度 的 双 层 优 化 框 架 ，
the probabilistic uncertainty of offshore wind power and load is 上层以系统投资与运行总成本最小为目标，规划满足负
characterized by a 1-∞ norm hybrid uncertainty set, and 载 率 约 束 的 输 电 线 路 ； 下 层 考 虑 输 电 网 与 储 能 系 统
conditional value-at-risk (CVaR) is adopted to quantify the （energy storage system，ESS）的协同运行，并引入频率响
corresponding risk loss, based on which a transmission-storage 应 特 性 建 模 ， 确 保 系 统 在 扰 动 下 具 备 动 态 频 率 安 全 性 。
coordinated distributionally robust optimization model is 随后，利用强对偶理论将双层模型转化为易于求解的单
established and solved by the column-and-constraint generation 层模型。进一步，采用对抗场景生成（adversarial scenario
(C&CG) algorithm. Simulation results on the IEEE 24-bus generation，ASG）方法构建极端风险场景，基于 1-∞范数
混 合 不 确 定 集 描 述 海 上 风 电 与 负 荷 的 概 率 分 布 不 确 定
收稿日期：2025−11−12； 修回日期：2026−02−10。
性，并利用条件风险价值（conditional value-at-risk，CVaR）
基金项目：汕头、潮州国管海域海上风电统一输电规划项 度量其带来的风险损失，从而建立输-储协同分布鲁棒优
目（031000QQ00240024）；智能电网国家科技重大专项项 化 模 型 ， 同 时 使 用 列 与 约 束 生 成 （ column and constraint
目（2025ZD0805304）。 generation， C&CG） 算 法 进 行 求 解 。 基 于 IEEE 24 节 点 系

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