考虑极限诱导分岔的静态电压稳定域

doi:10.11930/j.issn.1004-9649.202304063

摘要/Abstract

摘要：

随着高比例可再生能源在电力系统中的广泛应用，可再生能源的波动性和随机性对电力系统静态电压稳定评估带来挑战，电力系统静态电压稳定域（static voltage stability region，SVSR）可以全面分析和监测电力系统电压稳定性，其关键是快速准确地构建稳定域边界。针对传统连续潮流法和非线性规划法计算量大的问题，提出一种基于SVSR边界拓扑性质的SVSR边界构建优化模型，根据边界连续且光滑的性质，由已知边界点通过预测-校正方法直接计算相邻边界点。在此模型基础上提出一种极限诱导分岔识别方法，构建考虑极限诱导分岔的SVSR边界。最后通过算例分析验证了所提方法的可行性和准确性。

关键词: 电压稳定, 静态电压稳定域, 鞍结分岔, 极限诱导分岔

Abstract:

With the widespread application of a high percentage of renewable energy in power systems, the volatility and randomness of renewable energy pose challenges for static voltage stability assessment of power systems. The static voltage stability region (SVSR) of power systems can comprehensively analyze and monitor the voltage stability of power systems. The key is to construct the stability region boundary quickly and accurately. To address the problems of large computational effort of the traditional continuous power flow method and nonlinear programming method, an SVSR boundary construction optimization model based on the topological properties of SVSR boundaries is proposed, in which the adjacent boundary points are directly calculated from known boundary points by a prediction-correction method based on the property that the boundaries are continuous and smooth. Based on this model, a limit induced bifurcation (LIB) identification method is proposed to construct the SVSR boundary considering LIB. Finally, the feasibility and accuracy of the proposed method are verified by case analysis.

Key words: voltage stability, static voltage stability region, saddle node bifurcation, limit induced bifurcation

刘道兵, 齐越, 李世春, 鲍妙生, 郭营营, 李珏岑. 考虑极限诱导分岔的静态电压稳定域[J]. 中国电力, 2024, 57(4): 118-129.

Daobing LIU, Yue QI, Shichun LI, Miaosheng BAO, Yingying GUO, Juecen LI. Static Voltage Stability Region Considering Limit Induced Bifurcation[J]. Electric Power, 2024, 57(4): 118-129.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202304063

https://www.electricpower.com.cn/CN/Y2024/V57/I4/118

图/表 16

图 1 二维功率注入平面的SVSR边界示意

Fig.1 SVSR boundary of 2D power injection plane

图 2 SVSR边界快速构建示意

Fig.2 Rapid construction of SVSR boundary

图 3 极限诱导分岔示意

Fig.3 LIB

图 4 单机单负荷系统

Fig.4 Single-machine single-load system

表 1 SVSR边界点计算结果

Table 1 SVSR boundary point calculation results

标号	坐标	标号	坐标
0	（0.1006, 0.0979）	12	（0.1279, 0.0843）
1	（0.0919, 0.1019）	13	（0.1378, 0.0790）
2	（0.0833, 0.1057）	14	（0.1481, 0.0732）
3	（0.0747, 0.1093）	15	（0.1589, 0.0668）
4	（0.0660, 0.1128）	16	（0.1704, 0.0598）
5	（0.0569, 0.1162）	17	（0.1825, 0.0520）
6	（0.0472, 0.1197）	18	（0.1953, 0.0434）
7	（0.0363, 0.1233）	19	（0.2087, 0.0339）
8	（0.0228, 0.1273）	20	（0.2228, 0.0235）
9	（–0.0023, 0.1327）	21	（0.2373, 0.0122）
10	（0.1094, 0.0979）	22	（0.2492, 0.0）
11	（0.1185, 0.0892）

图 5 负荷节点的SVSR边界

Fig.5 SVSR boundary of load bus

图 6 潮流雅可比矩阵最小特征值对比

Fig.6 Comparison of minimum eigenvalues of power flow Jacobin matrix

图 7 考虑LIB的SVSR边界

Fig.7 SVSR boundary considering LIB

表 2 考虑LIB的临界点最小特征值

Table 2 Minimum eigenvalue considering critical point of LIB

标号	最小特征值	标号	最小特征值	标号	最小特征值
1	0.0	10	0.0067	19	0.0214
2	0.0	11	0.0084	20	0.0230
3	0.0	12	0.0100	21	0.0247
4	0.0	13	0.0117	22	0.0264
5	0.0	14	0.0133	23	0.0281
6	0.0	15	0.0149	24	0.0299
7	0.0013	16	0.0165	25	0.0317
8	0.0031	17	0.0181	26	0.0336
9	0.0050	18	0.0197

表 3 IEEE 14节点的SVSR场景

Table 3 SVSR scenario of IEEE 14 bus

场景		SVSR坐标轴变量
1		负荷节点4的有功功率和无功功率
2		负荷节点7和发电机节点8的有功功率
3		负荷节点9和10的有功功率

图 8 负荷节点4的SVSR边界

Fig.8 SVSR boundary of load bus 4

图 9 节点7和8的有功功率SVSR边界

Fig.9 SVSR boundary of active power of buses 7 and 8

图 10 节点9和10的有功功率SVSR边界

Fig.10 SVSR boundary of active power of buses 9 and 10

表 4 不同方法计算时间对比

Table 4 Comparison of calculation time with different methods

场景	CPF法时间/s	非线性规划法时间/s	本文方法时间/s
1	4.6744	4.7058	1.1338
2	6.0923	4.6270	1.0305
3	6.4668	4.6975	1.1701

图 11 节点43和45的有功功率SVSR边界

Fig.11 SVSR boundary of active power of buses 43 and 45

图 12 IEEE118节点三维SVSR边界

Fig.12 3D SVSR boundary of IEEE 118 bus

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