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

International Journal on Smart Sensing and Intelligent Systems
Volume 13 (2020): Issue 1 (January 2020)
By:
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
DOI: https://doi.org/10.21307/ijssis-2020-004 | Journal eISSN: 1178-5608
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Language: English
Page range: 1 - 12
Submitted on: Mar 23, 2019
Published on: Feb 4, 2020
Published by: Professor Subhas Chandra Mukhopadhyay
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Cuckoo search,
Collinearity,
High leverage points,
Phasor measurement unit (PMU),
State estimation.
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other

© 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.

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