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An incremental meter placement method for state estimation considering collinear measurements and high leverage points Cover

An incremental meter placement method for state estimation considering collinear measurements and high leverage points

Open Access
|Feb 2020

Figures & Tables

Figure 1:

Figure 1: Scatter plot of main types of observations.
Figure 1: Scatter plot of main types of observations.

Figure 2:

Figure 2: Residual pattern of the regression observations.
Figure 2: Residual pattern of the regression observations.

Figure 3:

Figure 3: The topological diagram of the IEEE 30-bus system.
Figure 3: The topological diagram of the IEEE 30-bus system.

Figure 4:

Figure 4: Scatter pattern of DRGP vs LTSR for 30-bus system.
Figure 4: Scatter pattern of DRGP vs LTSR for 30-bus system.

Figure 5:

Figure 5: The UK 18-bus test system.
Figure 5: The UK 18-bus test system.

Figure 6:

Figure 6: Convergence of the cuckoo search of the 118-bus SE.
Figure 6: Convergence of the cuckoo search of the 118-bus SE.

Numerical characteristic of the test systems_

Buses of
Test systemsHigh SE errorsOutlier measurementsGLCRBLCR
IEEE 30-bus26, 29, 302, 4, 9, 10, 11, 12, 18, 19, 21, 22, 23, 24, 25, 26, 294, 9, 11, 18, 1921, 22, 23, 24, 25, 26
UK 18-bus13, 141, 5, 7, 9, 12, 14, 16, 171, 714, 16, 17
IEEE 118-bus10, 35, 36, 60, 61, 641, 3, 5, 9, 12, 17, 31, 32, 34, 52, 54, 59, 61, 63, 64, 66, 78, 79, 86, 89, 99, 110, 113, 114, 116, 1173, 12, 32, 54, 76, 96, 110, 1149, 25, 34, 35, 52, 59, 64, 66, 68, 86, 113 (11 meters)

Comparison of the numerical performance of the SE of the test systems_

Total SE errorsCondition numbersNo. of outliers
Test systemsBeforeAfterBeforeAfterBeforeAfter
IEEE 30-bus8.14 × 10−4 5.06 × 10−4 1.84 × 106 3.87 × 104 152
UK 18-bus9.73 × 10−4 6.26 × 10−4 2.86 × 107 2.02 × 104 82
IEEE 118-bus 5.93 × 10−6 9.48 × 10−4 1.27 × 1017 1.27 × 109 26 5

Comparison of PMU placement methods_

SystemsIEEE 30-BusIEEE 118-Bus
GA (Xu and Abur, 2004)729
IP (Liu et al., 2014)729
BPSO (Ahmadi et al., 2011)729
PSO (Saleh et al., 2017)728
Proposed CSO-based(3 PMU + 3 CM) = 6(8 PMU + 11 CM) = 19
Language: English
Page range: 1 - 12
Submitted on: Mar 23, 2019
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Published on: Feb 4, 2020
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2020 Hatim G. Abood, Victor Sreeram, Yateendra Mishra, published by Professor Subhas Chandra Mukhopadhyay
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.