Static Voltage Stability Region Considering Limit Induced Bifurcation

doi:10.11930/j.issn.1004-9649.202304063

Abstract

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

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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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202304063

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

Figures/Tables 16

References 26

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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）

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）

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

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

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