频率偏差与电压刚度约束下多馈入直流优化调度方法

doi:10.11930/j.issn.1004-9649.202311097

中国电力 ›› 2025, Vol. 58 ›› Issue (3): 132-141.DOI: 10.11930/j.issn.1004-9649.202311097

频率偏差与电压刚度约束下多馈入直流优化调度方法

沈舒仪¹(), 王国腾², 但扬清¹, 孙飞飞¹, 黄莹²(), 徐政²

1. 国网浙江省电力有限公司经济技术研究院，浙江杭州　311500
2. 浙江大学电气工程学院，浙江杭州　310027

收稿日期:2023-11-20 接受日期:2024-10-10 出版日期:2025-03-28 发布日期:2025-03-26
作者简介:
沈舒仪（1989），女，硕士，高级工程师，从事电网规划研究，E-mail：512146921@qq.com
黄莹（1977），女，通信作者，博士，教授，从事直流输电、新型电力系统分析与控制研究，E-mail：huangyingzju@zju.edu.cn
基金资助:
国网浙江省电力有限公司科技项目（计及送受端电网安全经济绿色约束的多馈入直流多时间尺度送受电曲线优化研究，5211JY230009）。

Optimal Scheduling Method for Multi-infeed Receiving-End Power Grids Under Frequency Deviation and Voltage Stiffness Constraints

Shuyi SHEN¹(), Guoteng WANG², Yangqing DAN¹, Feifei SUN¹, Ying HUANG²(), Zheng XU²

1. Economic and Technological Research Institute, State Grid Zhejiang Electric Power Co., Ltd., Hangzhou 311500, China
2. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2023-11-20 Accepted:2024-10-10 Online:2025-03-28 Published:2025-03-26
Supported by:
This work is supported by Science and Technology Project of State Grid Zhejiang Electric Power Co., Ltd. (Research on Optimization of Multi-time Scale Transmission and Receiving Curve of Multi-infeed HVDC Systems Considering the Safety, Economy, and Green Constraints of the Sending -End and Receiving-End Power Grids, No.5211JY230009).

摘要/Abstract

摘要：

基于电网换相换流器（line commutation converter，LCC）的特高压直流输电系统（ultra-high voltage direct current，UHVDC）是远距离大容量输电的主要技术手段。为尽可能避免系统稳定裕度不足带来的直流降功率事件，提出一种频率偏差与电压刚度约束下的多直流馈入受端电网优化调度方法。首先，基于一次调频模型，推导出频率稳定性对系统中最大直流输送功率的约束条件；其次，提出评价多直流同时换相失败恢复特性的电压刚度指标，并基于该指标建立多直流馈入受端电网的电压稳定约束；然后，综合考虑频率和电压稳定约束以及多种运行约束的情况下，建立多直流馈入受端电网优化调度模型；最后，在一个改进的IEEE 39节点系统中进行测试。结果表明，所提方法能够通过改变开机方式和直流功率，保证系统频率和电压稳定性满足要求，避免强直弱交带来的安全稳定风险。

关键词: 多直流馈入受端电网, 频率稳定约束, 电压稳定约束, 优化调度, 电网换相换流器

Abstract:

The ultra high voltage direct current (UHVDC) transmission system based on line commutation converters (LCCs) is the main technical means for long-distance and high-capacity transmission. To avoid DC power reduction events caused by insufficient system stability margin, an optimal scheduling method for multi-infeed receiving-end power grids considering stability constraints is proposed. Firstly, based on the primary frequency regulation model, the frequency stability constraint for the system’s maximum DC transmission power is derived. Secondly, a voltage stiffness index is proposed to evaluate the recovery characteristics of the HVDC commutation failures, and based on this index, the voltage stability constraint is established. Then, considering the frequency and voltage stability constraints as well as various operational constraints, an optimal scheduling model is established for the multi-infeed receiving-end power grids. Finally, the effectiveness of the proposed method is verified through testing on a modified IEEE 39-bus system. The results show that the proposed method can meet the system frequency and voltage stability requirements by changing the unit commitment and DC power, thus avoiding the safety and stability risks caused by strong DC and weak AC.

Key words: multi-infeed receiving-end power grid, frequency stability constraint, voltage stability constraint, optimal scheduling, line commutation converters.

沈舒仪, 王国腾, 但扬清, 孙飞飞, 黄莹, 徐政. 频率偏差与电压刚度约束下多馈入直流优化调度方法[J]. 中国电力, 2025, 58(3): 132-141.

Shuyi SHEN, Guoteng WANG, Yangqing DAN, Feifei SUN, Ying HUANG, Zheng XU. Optimal Scheduling Method for Multi-infeed Receiving-End Power Grids Under Frequency Deviation and Voltage Stiffness Constraints[J]. Electric Power, 2025, 58(3): 132-141.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202311097

https://www.electricpower.com.cn/CN/Y2025/V58/I3/132

图/表 14

图 1 一次调频简化模型

Fig.1 Simplified primary frequency regulation model

图 2 直流换相失败功率简化曲线

Fig.2 Simplified power curves with LCC failure

图 3 修改的IEEE 39节点系统网架拓扑

Fig.3 Grid structure topology of the modified IEEE 39-bus system

表 1 LCC-HVDC系统主要参数

Table 1 Main parameters of three LCC-HVDC systems

项目	HVDC1	HVDC2	HVDC3
额定功率/MW	800	800	800
功率上限/MW	1000	1000	1000
额定直流电压/kV	400	400	400
线路阻抗/Ω	2.5	4.1	2.8

图 4 负荷总量变化曲线

Fig.4 Total load curve

图 5 不考虑稳定约束的机组组合方案

Fig.5 Unit commitment scheme without static voltage stability constraint

图 6 考虑稳定约束的机组组合方案

Fig.6 Unit commitment scheme with static voltage stability constraint

图 7 3条直流系统的送电曲线

Fig.7 Transmission curves of three LCC-HVDC systems

图 8 优化前后频率响应曲线

Fig.8 Frequency response curves before and after optimization

表 2 LCC-HVDC系统电压刚度

Table 2 Voltage stiffness of three LCC-HVDC systems

HVDC	优化前	优化后
HVDC1	0.74	0.82
HVDC2	0.85	0.91
HVDC3	0.84	0.88

图 9 优化前直流系统有功功率曲线

Fig.9 Active power curves of LCC-HVDC systems before optimization

图 10 优化后直流系统有功功率曲线

Fig.10 Active power of the LCC-HVDC systems after optimization

表 3 不同时间点下直流闭锁最低频率

Table 3 Minimum frequency with HVDC blocking at different time 单位：Hz

时刻	HVDC1	HVDC2	HVDC3
04:00	49.62	49.58	49.60
08:00	49.53	49.52	49.55
12:00	49.63	49.65	49.62
16:00	49.56	49.53	49.58
20:00	49.55	49.54	49.54

表 4 不同时间点下直流电压刚度

Table 4 Voltage stiffness of HVDCs at different time

时刻	HVDC1	HVDC2	HVDC3
04:00	0.81	0.85	0.92
08:00	0.86	0.82	0.88
12:00	0.93	0.86	0.94
16:00	0.82	0.91	0.88
20:00	0.85	0.88	0.91

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频率偏差与电压刚度约束下多馈入直流优化调度方法

Optimal Scheduling Method for Multi-infeed Receiving-End Power Grids Under Frequency Deviation and Voltage Stiffness Constraints

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频率偏差与电压刚度约束下多馈入直流优化调度方法

Optimal Scheduling Method for Multi-infeed Receiving-End Power Grids Under Frequency Deviation and Voltage Stiffness Constraints

RichHTML

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参考文献 27

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