International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(4): 391-400
Published online December 25, 2021
https://doi.org/10.5391/IJFIS.2021.21.4.391
© The Korean Institute of Intelligent Systems
A. Naresh Kumar1, M. Ramesha2, S. Jagadha3, Bharathi Gururaj4, M. Suresh Kumar5, and Kommera Chaitanya6
1Department of Electrical and Electronics Engineering, Institute of Aeronautical Engineering, Hyderabad, India
2Department of Electrical, Electronics and Communication Engineering, GITAM (Deemed to be University), Bengaluru, India
3Department of Mathematics, Institute of Aeronautical Engineering, Hyderabad, India
4Department of Electronics and Communication Engineering, ACS College of Engineering, Bengaluru, India
5Department of Aerospace Engineering, Sandip University, Nashik, India
6Department of Electrical and Electronics Engineering, Chaitanya Bharathi Institute of Technology, Proddatur, India
Correspondence to :
A. Naresh Kumar (ankamnaresh29@gmail.com)
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Estimating the distance of a transmission line with a flexible alternating current transmission system including a thyristor-controlled series compensator is a challenging task. The distance estimation technique based on a fuzzy rule-based system (FRS) in a thyristor-controlled seriescompensated transmission line with multi-location faults is investigated in this study. The Haar wavelet current coefficients of the relaying bus are utilized as inputs to accomplish the distance estimation task. The FRS is illustrated through the Mamdani system in the LabVIEW software. The efficacy of the FRS is studied considering the effects of variation with respect to fault parameters. The main characteristic FRS is that it does not involve any two-end communication links because it employs relay terminal measurements only.
Keywords: Fuzzy rule-based system, Multi-location faults, Transmission lines
No potential conflicts of interest relevant to this article was reported.
E-mail: ankamnaresh29@gmail.com
E-mail: ameshmalur037@gmail.com
E-mail: jagadhasaravanan@gmail.com
E-mail: bharathigururaj@gmail.com
E-mail: hodaerospace@sandipuniversity.edu.in
E-mail: chaitanya.k407@gmail.com
International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(4): 391-400
Published online December 25, 2021 https://doi.org/10.5391/IJFIS.2021.21.4.391
Copyright © The Korean Institute of Intelligent Systems.
A. Naresh Kumar1, M. Ramesha2, S. Jagadha3, Bharathi Gururaj4, M. Suresh Kumar5, and Kommera Chaitanya6
1Department of Electrical and Electronics Engineering, Institute of Aeronautical Engineering, Hyderabad, India
2Department of Electrical, Electronics and Communication Engineering, GITAM (Deemed to be University), Bengaluru, India
3Department of Mathematics, Institute of Aeronautical Engineering, Hyderabad, India
4Department of Electronics and Communication Engineering, ACS College of Engineering, Bengaluru, India
5Department of Aerospace Engineering, Sandip University, Nashik, India
6Department of Electrical and Electronics Engineering, Chaitanya Bharathi Institute of Technology, Proddatur, India
Correspondence to:A. Naresh Kumar (ankamnaresh29@gmail.com)
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Estimating the distance of a transmission line with a flexible alternating current transmission system including a thyristor-controlled series compensator is a challenging task. The distance estimation technique based on a fuzzy rule-based system (FRS) in a thyristor-controlled seriescompensated transmission line with multi-location faults is investigated in this study. The Haar wavelet current coefficients of the relaying bus are utilized as inputs to accomplish the distance estimation task. The FRS is illustrated through the Mamdani system in the LabVIEW software. The efficacy of the FRS is studied considering the effects of variation with respect to fault parameters. The main characteristic FRS is that it does not involve any two-end communication links because it employs relay terminal measurements only.
Keywords: Fuzzy rule-based system, Multi-location faults, Transmission lines
TCSCTL connection diagram.
Flow chart of proposed FRS framework.
Current coefficients during multi-location fault.
Fuzzy rule-based system.
The input, outputs, and their membership functions.
IF-THEN rules.
The outputs of FRS where phase B is located at 50 km at 46 ms and C is located at 14 km at 46 ms, with the other output A located at 100 km, indicating that there exists a BC multi-location fault.
The outputs of FRS where phase A is located at 83 km at 46 ms, with other outputs B and C located at 100 km, indicating that there exists a BC-shunt fault.
The outputs of FRS where phase A (close-in) is located at 3 km at 46 ms and C (remote-end) is located at 99 km at 46 ms, with the other output B located at 100 km, indicating that there exists an AC multi-location fault.
Table 1 . Effect of varying
Φ (°) | R (Ω) | D1 (km) | D2 (km) | D3 (km) | Error in phase | |
---|---|---|---|---|---|---|
A fault | C fault | |||||
10 | 20 | 11.101 | 100 | 78.083 | 0.101 | 0.083 |
50 | 20 | 10.880 | 100 | 78.155 | 0.220 | 0.155 |
100 | 20 | 11.233 | 100 | 77.966 | 0.233 | 0.034 |
150 | 20 | 11.147 | 100 | 77.801 | 0.147 | 0.199 |
200 | 20 | 11.025 | 100 | 78.067 | 0.025 | 0.067 |
250 | 20 | 10.735 | 100 | 78.221 | 0.265 | 0.221 |
300 | 20 | 11.254 | 100 | 78.011 | 0.254 | 0.011 |
350 | 20 | 11.211 | 100 | 78.226 | 0.211 | 0.226 |
Table 2 . Effect of varying R in multi-location fault scenario (A fault at 92 km and B fault at 21 km).
Φ (°) | R (Ω) | D1 (km) | D2 (km) | D3 (km) | Error in phase | |
---|---|---|---|---|---|---|
A fault | C fault | |||||
90 | 10 | 92.192 | 20.829 | 100 | 0.192 | 0.171 |
90 | 30 | 92.034 | 21.186 | 100 | 0.034 | 0.186 |
90 | 50 | 91.943 | 21.155 | 100 | 0.057 | 0.155 |
90 | 70 | 92.091 | 21.245 | 100 | 0.091 | 0.245 |
90 | 90 | 92.176 | 21.043 | 100 | 0.176 | 0.043 |
90 | 110 | 91.803 | 21.024 | 100 | 0.197 | 0.024 |
90 | 130 | 92.106 | 21.011 | 100 | 0.106 | 0.011 |
90 | 150 | 92.131 | 21.162 | 100 | 0.131 | 0.162 |
Table 3 . Effect of varying distances and types.
Φ (°) | R (Ω) | Fault-1 | Fault-2 | D1 (km) | D2 (km) | D3 (km) | Error in Fault-1 | Error in Fault-2 |
---|---|---|---|---|---|---|---|---|
45 | 75 | A-Phase fault at 28 km | B-Phase fault at 83 km | 28.134 | 83.252 | 100 | 0.134 | 0.252 |
45 | 75 | A-Phase fault at 32 km | C-Phase fault at 67 km | 31.981 | 100 | 67.240 | 0.029 | 0.240 |
45 | 75 | B-Phase fault at 44 km | C-Phase fault at 15 km | 100 | 43.864 | 15.066 | 0.136 | 0.066 |
45 | 75 | A-Phase fault at 65 km | B-Phase fault at 26 km | 64.953 | 25.762 | 100 | 0.047 | 0.248 |
45 | 75 | A-Phase fault at 18 km | C-Phase fault at 94 km | 18.213 | 100 | 94.125 | 0.213 | 0.125 |
45 | 75 | B-Phase fault at 19 km | C-Phase fault at 06 km | 100 | 19.201 | 06.161 | 0.201 | 0.161 |
Table 4 . Effect of varying shunt faults.
Φ (°) | R (Ω) | Type | Distance (km) | D1 (km) | D2 (km) | D3 (km) | Error |
---|---|---|---|---|---|---|---|
180 | 50 | Phase-B fault | 9 | 100 | 8.926 | 100 | 0.074 |
180 | 50 | Phase-B fault | 15 | 100 | 15.085 | 100 | 0.085 |
180 | 50 | Phase-B fault | 28 | 100 | 27.068 | 100 | 0.068 |
180 | 50 | Phase-B fault | 36 | 100 | 35.891 | 100 | 0.009 |
180 | 50 | Phase-B fault | 44 | 100 | 44.104 | 100 | 0.104 |
180 | 50 | Phase-B fault | 51 | 100 | 51.211 | 100 | 0.211 |
180 | 50 | Phase-B fault | 60 | 100 | 60.282 | 100 | 0.282 |
180 | 50 | Phase-B fault | 67 | 100 | 66.135 | 100 | 0.135 |
180 | 50 | Phase-B fault | 73 | 100 | 72.823 | 100 | 0.177 |
180 | 50 | Phase-B fault | 82 | 100 | 82.292 | 100 | 0.292 |
180 | 50 | Phase-B fault | 89 | 100 | 89.124 | 100 | 0.124 |
180 | 50 | Phase-B fault | 99 | 100 | 98.761 | 100 | 0.239 |
Table 5 . Effect of close-in and remote-end multi-location faults.
Φ (°) | R (Ω) | Fault-1 | Fault-2 | D1 (km) | D2 (km) | D3 (km) | Error in Fault-1 | Error in Fault-2 |
---|---|---|---|---|---|---|---|---|
45 | 75 | A-Phase fault at 1 km | B-Phase fault at 5 km | 1.163 | 99.189 | 100 | 0.163 | 0.189 |
45 | 75 | A-Phase fault at 2 km | C-Phase fault at 4 km | 2.020 | 100 | 98.142 | 0.020 | 0.142 |
45 | 75 | B-Phase fault at 3 km | C-Phase fault at 3 km | 100 | 3.863 | 97.067 | 0.137 | 0.067 |
45 | 75 | A-Phase fault at 4 km | B-Phase fault at 2 km | 4.900 | 96.765 | 100 | 0.100 | 0.235 |
45 | 75 | A-Phase fault at 5 km | C-Phase fault at 1 km | 5.244 | 100 | 95.088 | 0.244 | 0.088 |
Table 6 . Comparison of FRS to established techniques.
Ref | Fault types | Model used | Test samples | Error |
---|---|---|---|---|
[3] | Multi-location faults | Neural networks | - | 1 |
[10] | Multi-location faults | Neural networks | - | 1 |
[11] | Cross-country faults | Neural networks | - | 1 |
[12] | Multi-location faults | FRS | 1000 | 0.5 |
[13] | Cross-country faults | FRS | 20,000 | 0.41 |
[14] | Cross-country faults | Support vector machines | 14,500 | - |
[16] | Simultaneous faults | FRS | - | 0.4 |
Proposed FRS | Multi-location faults | FRS | 25000 | 0.25 |
TCSCTL connection diagram.
|@|~(^,^)~|@|Flow chart of proposed FRS framework.
|@|~(^,^)~|@|Current coefficients during multi-location fault.
|@|~(^,^)~|@|Fuzzy rule-based system.
|@|~(^,^)~|@|The input, outputs, and their membership functions.
|@|~(^,^)~|@|IF-THEN rules.
|@|~(^,^)~|@|The outputs of FRS where phase B is located at 50 km at 46 ms and C is located at 14 km at 46 ms, with the other output A located at 100 km, indicating that there exists a BC multi-location fault.
|@|~(^,^)~|@|The outputs of FRS where phase A is located at 83 km at 46 ms, with other outputs B and C located at 100 km, indicating that there exists a BC-shunt fault.
|@|~(^,^)~|@|The outputs of FRS where phase A (close-in) is located at 3 km at 46 ms and C (remote-end) is located at 99 km at 46 ms, with the other output B located at 100 km, indicating that there exists an AC multi-location fault.