Identification of Vulnerable Lines in Power Grid Based on Power Flow Correlation Network
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摘要:
国内外大停电事故表明，电力系统中的脆弱线路会带来极大的运行风险，直接导致系统安全性下降. 鉴于此，本文根据二级连锁故障发生时有功潮流的转移特征进行电力系统脆弱线路识别. 首先，从系统运行角度，以电力系统发生二级连锁故障时有功潮流的转移量为系统线路间关系进行赋权，并构建双向加权潮流相关性网络；随后，为量化线路在连锁故障中的脆弱性，提出一种基于改进
E 指数的脆弱线路识别方法. 研究表明：针对IEEE-39节点系统，依据本文方法识别结果中前8条脆弱线路的平均风险价值指数和平均条件风险价值指数分别为3453.73 MW与187.82 MW，远高于其他方法所得结果；静态蓄意攻击后所得的系统剩余负荷率仅为43.4%，系统子电气岛数量快速增长.Abstract:Global blackouts have indicated that vulnerable lines in the power system would bring great operation risk and threaten system security. In view of this, the identification of vulnerable lines in the power system was carried out according to the transfer characteristics of the active power flows in the case of a two-stage cascading failure. First, from the perspective of system operation, the relationship between the lines was weighted in terms of the transferred active power flows when the power system had a two-stage cascading failure, and a bidirectional weighted power flow correlation network was constructed. Then, an improved
E -index-based identification method for vulnerable lines was proposed to quantify line vulnerability in cascading failures. The results show that the average value at risk and the average conditional value at risk of the top eight vulnerable lines in the identified results are 3 453.73 MW and 187.82 MW respectively for the IEEE-39 bus system, which are much higher than those obtained from other methods. Meanwhile, the residual load rate of the system is only 43.4% after the static intentional attack, and the number of power islands in the system increases rapidly. -
图 4 不同隐性故障概率下蓄意攻击后系统剩余负荷率变化
Figure 4. Variation in residual load rates of system after intentional attacks under different hidden failure probabilities
图 5 不同方法下蓄意攻击后的系统剩余负荷率变化
Figure 5. Variation in residual load rates of system after intentional attacks with different methods
图 6 不同方法下蓄意攻击后的系统电气孤岛数量变化
Figure 6. Number of power islands in system after intentional attacks with different methods
表 1 不同隐性故障概率下的脆弱线路排序
Table 1. Vulnerable line ranking under different hidden failure probabilities
Pf = 0.0020 Pf = 0.0050 Pf = 0.0100 线路 剩余负荷率 线路 剩余负荷率 线路 剩余负荷率 L37 1.00000 L34 1.00000 L34 1.00000 L20 0.95216 L33 0.99245 L38 1.00000 L39 0.85942 L39 0.89971 L33 0.99245 L33 0.75517 L35 0.89971 L39 0.89971 L34 0.67394 L20 0.78379 L14 0.79774 L38 0.67394 L37 0.67394 L20 0.68182 L14 0.57165 L14 0.57165 L37 0.57198 L41 0.48147 L38 0.54903 L35 0.54936 L46 0.34316 L46 0.43334 L46 0.43367 L27 0.30590 L10 0.43334 L27 0.38465 
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表 2 不同方法的脆弱线路的风险价值比较
Table 2. Comparison of values at risk of vulnerable lines with different methods
攻击
序列E-im （Pf = 0.008） E 指数 VG CEI MF 线路 $ {{ \overline V_{\mathrm{aR}}}} $ ${{ \overline C_{\mathrm{VaR}}}} $ 线路 $ {{\overline V_{\mathrm{aR}}}} $ ${{ \overline C_{\mathrm{VaR}}}} $ 线路 ${{ \overline V_{\mathrm{aR}}}} $ $ {{\overline C_{\mathrm{VaR}}}} $ 线路 $ {{ \overline V_{\mathrm{aR}}}} $ ${{ \overline C_{\mathrm{VaR}}}} $ 线路 ${{ \overline V_{\mathrm{aR}}}} $ $ {{\overline C_{\mathrm{VaR}}}} $ 1 L34 3453.73 187.82 L41 3214.74 181.27 L10 2977.26 169.02 L35 3421.79 186.57 L26 3223.94 170.71 2 L33 L28 L25 L14 L37 3 L39 L29 L1 L23 L30 4 L14 L25 L3 L20 L33 5 L35 L38 L9 L37 L29 6 L20 L35 L40 L33 L38 7 L37 L43 L11 L13 L27 8 L46 L45 L4 L19 L7
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