考虑随机性的主动配电网有功无功可行域计算方法

doi:10.11930/j.issn.1004-9649.202412008

中国电力 ›› 2025, Vol. 58 ›› Issue (4): 182-192.DOI: 10.11930/j.issn.1004-9649.202412008

• 面向新型电力系统的智慧用能优化与控制 • 上一篇下一篇

考虑随机性的主动配电网有功无功可行域计算方法

王宣元¹(), 张玮¹, 李长宇², 谢欢², 郭庆来³(), 王彬³, 张宇谦³

1. 国网冀北电力有限公司，北京　100052
2. 国网冀北电力有限公司电力科学研究院，北京　100045
3. 清华大学电机工程与应用电子技术系，北京　100084

收稿日期:2024-12-02 录用日期:2025-03-02 发布日期:2025-04-23 出版日期:2025-04-28
作者简介:
王宣元（1979），女，博士，高级工程师（教授级），从事电力系统、新能源电力电子设备运行控制及电力市场相关研究，E-mail：wang.xuanyuan@jibei.sgcc.com.cn
郭庆来（1979），男，通信作者，博士，教授，从事信息物理系统和无功电压优化控制研究，E-mail：guoqinglai@tsinghua.edu.cn
基金资助:
国网冀北电力有限公司科技项目（新能源集群主动支撑的“双高”送端电力系统无功电压调控关键技术及架构研究，B3018K23000Z）。

A Method for Calculating the Feasible Operation Region of Active and Reactive Power in Active Distribution Networks Considering Stochasticity

WANG Xuanyuan¹(), ZHANG Wei¹, LI Changyu², XIE Huan², GUO Qinglai³(), WANG Bin³, ZHANG Yuqian³

1. State Grid Jibei Electric Power Co., Ltd., Beijing 100052, China
2. State Grid Jibei Electric Co., Ltd. Research Institution, Beijing 100052, China
3. Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

Received:2024-12-02 Accepted:2025-03-02 Online:2025-04-23 Published:2025-04-28
Supported by:
This work is supported by the Science and Technology Project of State Grid Jibei Electric Power Co., Ltd. (Research on Key Technologies and Architecture for Reactive Power Voltage Regulation in 'Dual High' Sending-end Power System Actively Supported by New Energy Clusters, No.B3018K23000Z).

摘要/Abstract

摘要：

随着可再生能源的大规模接入，电力系统面临灵活性资源短缺的挑战，而配电网中的分布式电源和电力电子设备具备提供灵活性的潜力。为此，综合了多种灵活性提供单元、网络运行约束及分布式电源和负荷的不确定性，提出一种考虑不确定性的配网灵活性提供潜力评估方法。首先，建立一种改进的确定性可行域计算方法；然后，通过基于抽样的方法建模负荷和分布式电源的不确定性；最后，通过算例结果验证该方法的准确性与有效性。算例结果表明，该方法能够提供可行域的概率分布及不同置信水平下的可行域，且在相同计算成本下具有更高的精度，避免了过于乐观的结果。

关键词: 可行域, 可再生能源, 灵活性资源, 输配协同, 随机性

Abstract:

The large-scale integration of renewable energy poses challenges to the power systems, such as the shortage of flexibility resources. However, renewable energy and power electronics connected to the distribution networks can provide flexibilities. This paper proposes a novel method to determine the stochastic feasible operation region of distribution networks, considering flexibility-providing units, network operational constraints, and uncertainties in renewable energy generation and loads. Firstly, an improved method for calculating the deterministic flexibility operation region is introduced. And then, a scenario-based approach is used to model the uncertainties of loads and distributed generations. Finally, a case study demonstrates the accuracy and effectiveness of the proposed method. The case study results show that the proposed method can provide both the probability distribution of the feasible operation region and the operation regions at different confidence levels, and achieves higher accuracy with the same computational cost and avoids overly optimistic results.

Key words: feasible operation region, renewable energy, flexibility resources, transmission-distribution coordination, stochasticity

王宣元, 张玮, 李长宇, 谢欢, 郭庆来, 王彬, 张宇谦. 考虑随机性的主动配电网有功无功可行域计算方法[J]. 中国电力, 2025, 58(4): 182-192.

WANG Xuanyuan, ZHANG Wei, LI Changyu, XIE Huan, GUO Qinglai, WANG Bin, ZHANG Yuqian. A Method for Calculating the Feasible Operation Region of Active and Reactive Power in Active Distribution Networks Considering Stochasticity[J]. Electric Power, 2025, 58(4): 182-192.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202412008

https://www.electricpower.com.cn/CN/Y2025/V58/I4/182

图/表 17

图 1 不同种类FPU的FOR

Fig.1 The FOR of different types of FPUs

图 2 非凸FOR的凸分解

Fig.2 Division of non-convex FOR into convex sub-FORs

图 3 单个FPU的SFOR和CFOR示例

Fig.3 Example of SFOR and CFOR of an FPU

图 4 刻画误差的估算方法示意

Fig.4 Illustration of characterization error estimation

图 5 FOR切线的估算方法示意

Fig.5 Determination of the tangent of FOR at a vertex

图 6 本文SFOR计算方法的流程

Fig.6 Flow of the proposed SFOR estimation method

表 1 算例I研究中的FPU

Table 1 The FPUs in the case study I

FPU 类型	数量	容量/kW	备注
PV	8	12.5×8=100	位于节点1、2、12、13、14、15、23、24
DFIG	4	100+150×3=550	位于节点9、10、11、17（100 kW）
ESS	2	25×2=50	位于节点3、4
OLTC	1	/	配电变压器（±2×2.5%）

图 7 不同方法在不同定点数下的相对误差

Fig.7 Relative error of different methods

图 8 实际误差与刻画误差

Fig.8 The actual error and the characterization error

图 9 不同参数下所提方法的计算时间

Fig.9 Calculation time of the proposed method.

图 10 不同参数下的SFOR误差

Fig.10 Relative error of SFOR with different parameters

图 11 SFOR与CFOR结果对比

Fig.11 Comparison of SFOR and CFOR results

表 2 算例II研究中的FPU

Table 2 The FPUs in the case study II

FPU 类型	数量	容量/MW	备注
PV	14	10×2+4× 2.5=30	位于节点4（2.5 MW）、5（2.5 MW）、6、7、8、9、10、28（2.5 MW）、29（2.5 MW）、30、31、32、33、34
DG	1	20	位于节点80
ESS	5	1×5=5	位于节点75、77、85、110、112
CL	16	14×1.5+ 2×2=25	位于节点4、6、8、10、28、30、32、34（2 MW）、36（2 MW）、70、72、74、76、106、108、110、112
OLTC	1	/	配电变压器（±2×2.5%）

图 12 不同方法在不同定点数下的相对误差

Fig.12 Relative error of different methods

图 13 不同参数下所提方法的计算时间

Fig.13 Calculation time of the proposed method

图 14 不同参数下的SFOR误差

Fig.14 Relative error of SFOR with different parameters

图 15 SFOR与CFOR结果对比

Fig.15 Comparison of SFOR and CFOR results

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考虑随机性的主动配电网有功无功可行域计算方法

A Method for Calculating the Feasible Operation Region of Active and Reactive Power in Active Distribution Networks Considering Stochasticity

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考虑随机性的主动配电网有功无功可行域计算方法

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