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

Hatim G. Abood
Hatim G. Abood
, 
Victor Sreeram
Victor Sreeram
 e 
Yateendra Mishra
Yateendra Mishra
   | 04 feb 2020
International Journal on Smart Sensing and Intelligent Systems's Cover Image
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Article Category: Research-Article
Pubblicato online: 04 feb 2020
Pagine: 1 - 12
Ricevuto: 23 mar 2019
DOI: https://doi.org/10.21307/ijssis-2020-004
Parole chiave
© 2020 Hatim G. Abood et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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 systems High SE errors Outlier measurements GLCR BLCR
IEEE 30-bus 26, 29, 30 2, 4, 9, 10, 11, 12, 18, 19, 21, 22, 23, 24, 25, 26, 29 4, 9, 11, 18, 19 21, 22, 23, 24, 25, 26
UK 18-bus 13, 14 1, 5, 7, 9, 12, 14, 16, 17 1, 7 14, 16, 17
IEEE 118-bus 10, 35, 36, 60, 61, 64 1, 3, 5, 9, 12, 17, 31, 32, 34, 52, 54, 59, 61, 63, 64, 66, 78, 79, 86, 89, 99, 110, 113, 114, 116, 117 3, 12, 32, 54, 76, 96, 110, 114 9, 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 errors Condition numbers No. of outliers
Test systems Before After Before After Before After
IEEE 30-bus 8.14 × 10−4 5.06 × 10−4 1.84 × 106 3.87 × 104 15 2
UK 18-bus 9.73 × 10−4 6.26 × 10−4 2.86 × 107 2.02 × 104 8 2
IEEE 118-bus 5.93 × 10−6 9.48 × 10−4 1.27 × 1017 1.27 × 109 26 5

Comparison of PMU placement methods.

Systems IEEE 30-Bus IEEE 118-Bus
GA (Xu and Abur, 2004) 7 29
IP (Liu et al., 2014) 7 29
BPSO (Ahmadi et al., 2011) 7 29
PSO (Saleh et al., 2017) 7 28
Proposed CSO-based (3 PMU + 3 CM) = 6 (8 PMU + 11 CM) = 19
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