1 1. Introduction
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Eight optimization algorithms have been applied to solve the coordination issue of DOCRs and distance relays.
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Using the GA, PSO, WCA, GWO, EO, FDA, AVOA, and GTO, the non-standard DOCR characteristics curves have been assessed in the coordination problem solution.
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The suggested algorithms have been evaluated using 8-bus and IEEE 30-bus networks;
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The obtained results show the ability of the proposed techniques to find optimal relay settings and to solve the coordination problem between the DOCRs and distance relays.
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The GA technique gives better results compared to the PSO, WCA, GWO, EO, FDA, AVOA, and GTO techniques.
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The suggested optimization algorithms have been compared with other published techniques in solving the coordination problem between DOCRs and distance relays.
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The obtained results using GA are better than the result obtained by other published optimization algorithms.
2 Problem formulation
2.1 Limitations on the DOCRs
2.2 Constraint on Zone-2 operating time
2.3 Coordination constraints
3 Results and discussion
3.1 The 8-bus test system
Relay No | PSO | GA | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 313.19 | 0.06 | 19.58 | 1.43 | 0.40 | 138.46 | 0.12 | 11.82 | 0.82 | 0.52 |
2 | 316.31 | 0.27 | 31.63 | 1.33 | 0.52 | 294.31 | 0.33 | 60.50 | 1.63 | 0.50 |
3 | 291.64 | 0.06 | 76.64 | 1.35 | 0.89 | 160.34 | 0.41 | 38.11 | 1.47 | 0.46 |
4 | 153.19 | 0.62 | 33.55 | 1.96 | 0.82 | 423.41 | 0.10 | 7.33 | 1.19 | 0.39 |
5 | 122.92 | 0.08 | 88.81 | 2.00 | 0.84 | 170.23 | 0.43 | 5.32 | 1.97 | 0.36 |
6 | 195.08 | 0.16 | 43.51 | 1.29 | 0.40 | 385.22 | 0.41 | 12.47 | 1.43 | 0.74 |
7 | 225.00 | 0.68 | 9.35 | 1.49 | 0.52 | 88.25 | 0.63 | 23.01 | 1.29 | 0.68 |
8 | 168.70 | 0.41 | 10.25 | 1.02 | 0.42 | 177.95 | 0.08 | 38.69 | 0.97 | 0.52 |
9 | 113.67 | 0.06 | 52.75 | 1.76 | 0.36 | 101.57 | 0.06 | 29.28 | 1.20 | 0.69 |
10 | 389.89 | 0.23 | 9.12 | 1.68 | 0.39 | 149.07 | 0.55 | 29.15 | 1.75 | 0.43 |
11 | 209.17 | 0.31 | 46.47 | 1.57 | 0.73 | 320.56 | 0.30 | 28.13 | 1.63 | 0.47 |
12 | 243.32 | 0.22 | 34.61 | 1.13 | 0.79 | 195.73 | 0.49 | 18.95 | 1.13 | 0.52 |
13 | 295.40 | 0.12 | 10.99 | 1.32 | 0.47 | 306.81 | 0.11 | 21.07 | 1.86 | 0.43 |
14 | 188.26 | 0.37 | 33.49 | 1.58 | 0.54 | 164.03 | 0.67 | 14.00 | 1.38 | 0.78 |
OF (s) | 9.8 | 9.27 |
Relay No | WCA | GWO | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 226.06 | 0.61 | 10.17 | 2.00 | 0.56 | 325.31 | 0.22 | 6.29 | 1.37 | 0.50 |
2 | 175.10 | 1.10 | 0.16 | 0.12 | 0.61 | 464.55 | 0.14 | 1.33 | 0.20 | 0.56 |
3 | 320.00 | 0.14 | 115.28 | 2.00 | 0.45 | 208.12 | 1.05 | 27.63 | 1.90 | 0.44 |
4 | 270.89 | 1.10 | 1.25 | 1.20 | 0.38 | 275.29 | 0.07 | 47.49 | 1.63 | 0.78 |
5 | 120.00 | 0.05 | 67.24 | 2.00 | 0.31 | 171.55 | 0.37 | 3.30 | 1.51 | 0.71 |
6 | 480.00 | 0.07 | 37.87 | 1.45 | 0.38 | 326.43 | 0.26 | 19.99 | 1.38 | 0.79 |
7 | 244.20 | 0.22 | 88.92 | 2.00 | 0.89 | 125.25 | 0.21 | 21.19 | 0.93 | 0.54 |
8 | 258.80 | 1.10 | 67.77 | 2.00 | 0.90 | 406.56 | 0.18 | 60.26 | 1.83 | 0.69 |
9 | 130.68 | 0.05 | 69.23 | 1.98 | 0.90 | 157.57 | 0.06 | 35.20 | 1.65 | 0.39 |
10 | 366.56 | 0.06 | 42.23 | 1.78 | 0.37 | 191.24 | 0.68 | 2.85 | 1.06 | 0.48 |
11 | 480.00 | 0.08 | 96.30 | 2.00 | 0.44 | 302.88 | 0.25 | 24.14 | 1.41 | 0.53 |
12 | 427.81 | 0.79 | 3.54 | 1.06 | 0.90 | 378.54 | 0.14 | 15.33 | 0.82 | 0.71 |
13 | 301.39 | 0.05 | 59.06 | 2.00 | 0.90 | 423.24 | 0.57 | 1.84 | 1.32 | 0.85 |
14 | 124.58 | 0.84 | 8.70 | 1.16 | 0.47 | 118.07 | 0.54 | 57.86 | 1.53 | 0.71 |
OF (s) | 10.15 | 10.69 |
Relay No | EO | AVOA | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 142.34 | 0.10 | 0.23 | 0.02 | 0.69 | 127.42 | 1.10 | 14.12 | 1.67 | 0.82 |
2 | 436.73 | 0.05 | 0.44 | 0.02 | 0.86 | 182.40 | 1.10 | 10.96 | 1.12 | 0.83 |
3 | 83.36 | 0.06 | 0.43 | 0.02 | 0.81 | 114.83 | 1.10 | 11.82 | 1.17 | 0.59 |
4 | 458.27 | 1.10 | 0.14 | 0.45 | 0.54 | 151.54 | 0.77 | 14.83 | 1.51 | 0.66 |
5 | 121.74 | 0.05 | 113.20 | 2.00 | 0.66 | 143.56 | 0.41 | 15.94 | 1.69 | 0.73 |
6 | 177.74 | 0.95 | 113.07 | 1.94 | 0.85 | 182.83 | 0.64 | 14.41 | 1.21 | 0.65 |
7 | 111.18 | 1.08 | 113.35 | 2.00 | 0.82 | 231.23 | 1.10 | 12.09 | 1.76 | 0.59 |
8 | 472.71 | 0.05 | 119.04 | 1.75 | 0.57 | 157.87 | 1.10 | 18.25 | 1.36 | 0.70 |
9 | 115.80 | 0.05 | 80.25 | 1.97 | 0.82 | 128.29 | 0.74 | 5.34 | 1.80 | 0.46 |
10 | 474.29 | 1.10 | 0.14 | 0.47 | 0.39 | 137.99 | 1.10 | 10.36 | 1.63 | 0.42 |
11 | 447.50 | 0.81 | 4.02 | 1.41 | 0.49 | 189.37 | 1.10 | 13.09 | 1.52 | 0.74 |
12 | 415.00 | 0.08 | 115.29 | 1.52 | 0.86 | 156.81 | 1.07 | 19.32 | 1.29 | 0.75 |
13 | 213.13 | 0.06 | 110.95 | 1.94 | 0.46 | 124.19 | 0.89 | 15.09 | 1.73 | 0.51 |
14 | 311.25 | 0.05 | 115.58 | 1.68 | 0.52 | 120.30 | 1.10 | 12.61 | 1.30 | 0.71 |
OF (s) | 11.72 | 11.32 |
Relay No | FDA | GTO | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 214.36 | 1.02 | 0.28 | 0.35 | 0.51 | 358.39 | 0.24 | 0.44 | 0.18 | 0.83 |
2 | 177.97 | 1.06 | 4.96 | 0.87 | 0.76 | 401.67 | 0.35 | 0.68 | 0.16 | 0.84 |
3 | 271.78 | 0.12 | 114.69 | 1.62 | 0.88 | 298.63 | 0.39 | 0.45 | 0.16 | 0.62 |
4 | 141.39 | 1.05 | 0.57 | 0.44 | 0.60 | 469.07 | 0.24 | 0.42 | 0.21 | 0.52 |
5 | 161.45 | 0.07 | 1.38 | 0.23 | 0.43 | 213.56 | 0.33 | 0.58 | 0.41 | 0.84 |
6 | 160.56 | 0.74 | 66.36 | 1.70 | 0.88 | 421.83 | 0.38 | 0.43 | 0.17 | 0.86 |
7 | 88.11 | 0.53 | 92.05 | 1.63 | 0.50 | 318.05 | 0.33 | 0.52 | 0.14 | 0.73 |
8 | 478.30 | 0.48 | 9.53 | 1.62 | 0.63 | 468.83 | 0.42 | 0.43 | 0.17 | 0.67 |
9 | 228.20 | 0.08 | 6.17 | 1.42 | 0.31 | 223.42 | 0.27 | 0.35 | 0.26 | 0.57 |
10 | 390.68 | 0.06 | 49.73 | 1.97 | 0.89 | 473.00 | 0.26 | 0.52 | 0.29 | 0.49 |
11 | 139.84 | 1.09 | 59.49 | 1.91 | 0.44 | 468.49 | 0.30 | 0.57 | 0.21 | 0.59 |
12 | 170.20 | 0.06 | 59.54 | 0.80 | 0.55 | 466.71 | 0.33 | 0.40 | 0.11 | 0.70 |
13 | 137.86 | 0.31 | 117.91 | 1.94 | 0.89 | 199.20 | 0.29 | 0.49 | 0.14 | 0.86 |
14 | 314.43 | 0.06 | 106.10 | 1.71 | 0.44 | 281.00 | 0.55 | 0.36 | 0.16 | 0.83 |
OF (s) | 10.92 | 14.32 |
Relay pairs | PSO | GA | WCA | GWO | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | ||
1 | 6 | 0.05 | 0.25 | 0.2 | 0.14 | 0.34 | 0.20 | 0.24 | 0.04 | 0.20 | 0.29 | 0.08 | 0.21 |
2 | 1 | 0.20 | 0.40 | 0.20 | 0.18 | 0.46 | 0.28 | 0.57 | 0.36 | 0.21 | 0.59 | 0.30 | 0.29 |
2 | 7 | 0.20 | 0.40 | 0.20 | 0.18 | 0.39 | 0.21 | 0.56 | 0.36 | 0.20 | 0.50 | 0.30 | 0.20 |
3 | 2 | 0.17 | 0.37 | 0.20 | 0.18 | 0.38 | 0.20 | 0.42 | 0.14 | 0.28 | 0.38 | 0.14 | 0.24 |
4 | 3 | 0.10 | 0.30 | 0.20 | 0.11 | 0.32 | 0.20 | 0.32 | 0.12 | 0.20 | 0.31 | 0.11 | 0.20 |
5 | 4 | 0.06 | 0.28 | 0.22 | 0.04 | 0.24 | 0.20 | 0.23 | 0.03 | 0.20 | 0.25 | 0.05 | 0.20 |
6 | 5 | 0.12 | 0.69 | 0.58 | 0.14 | 0.45 | 0.31 | 0.31 | 0.10 | 0.21 | 0.42 | 0.13 | 0.29 |
6 | 14 | 0.12 | 0.45 | 0.33 | 0.14 | 0.43 | 0.29 | 0.41 | 0.10 | 0.31 | 0.61 | 0.13 | 0.48 |
7 | 5 | 0.08 | 0.70 | 0.61 | 0.10 | 0.45 | 0.35 | 0.31 | 0.07 | 0.24 | 0.42 | 0.18 | 0.23 |
7 | 13 | 0.08 | 0.47 | 0.38 | 0.10 | 0.43 | 0.33 | 0.46 | 0.07 | 0.38 | 0.74 | 0.18 | 0.56 |
8 | 7 | 0.14 | 0.40 | 0.26 | 0.12 | 0.39 | 0.26 | 0.56 | 0.21 | 0.35 | 0.50 | 0.12 | 0.38 |
8 | 9 | 0.14 | 0.39 | 0.25 | 0.12 | 0.43 | 0.30 | 0.42 | 0.21 | 0.21 | 0.53 | 0.12 | 0.42 |
9 | 10 | 0.04 | 0.25 | 0.22 | 0.08 | 0.30 | 0.23 | 0.23 | 0.03 | 0.20 | 0.25 | 0.05 | 0.20 |
10 | 11 | 0.10 | 0.32 | 0.22 | 0.13 | 0.33 | 0.20 | 0.31 | 0.09 | 0.22 | 0.35 | 0.14 | 0.20 |
11 | 12 | 0.17 | 0.40 | 0.22 | 0.17 | 0.37 | 0.20 | 0.34 | 0.14 | 0.20 | 0.41 | 0.19 | 0.21 |
12 | 13 | 0.25 | 0.46 | 0.22 | 0.23 | 0.43 | 0.20 | 0.45 | 0.21 | 0.24 | 0.74 | 0.28 | 0.46 |
12 | 14 | 0.25 | 0.45 | 0.20 | 0.23 | 0.43 | 0.20 | 0.41 | 0.21 | 0.20 | 0.61 | 0.28 | 0.33 |
13 | 8 | 0.08 | 0.28 | 0.20 | 0.05 | 0.25 | 0.20 | 0.79 | 0.04 | 0.74 | 0.40 | 0.11 | 0.30 |
14 | 1 | 0.09 | 0.40 | 0.31 | 0.11 | 0.46 | 0.35 | 0.57 | 0.13 | 0.44 | 0.59 | 0.13 | 0.46 |
14 | 9 | 0.09 | 0.39 | 0.30 | 0.11 | 0.43 | 0.32 | 0.42 | 0.13 | 0.30 | 0.54 | 0.13 | 0.40 |
Relay pairs | EO | AVOA | FDA | GTO | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | ||
1 | 6 | 0.56 | 0.36 | 0.20 | 0.38 | 0.10 | 0.28 | 0.41 | 0.20 | 0.21 | 0.45 | 0.24 | 0.21 |
2 | 1 | 0.63 | 0.43 | 0.20 | 0.79 | 0.28 | 0.51 | 0.50 | 0.30 | 0.20 | 0.69 | 0.47 | 0.21 |
2 | 7 | 0.69 | 0.43 | 0.26 | 0.53 | 0.28 | 0.25 | 0.50 | 0.30 | 0.20 | 0.69 | 0.47 | 0.22 |
3 | 2 | 0.53 | 0.33 | 0.20 | 0.47 | 0.25 | 0.22 | 0.44 | 0.24 | 0.21 | 0.59 | 0.36 | 0.23 |
4 | 3 | 0.37 | 0.15 | 0.22 | 0.41 | 0.19 | 0.21 | 0.45 | 0.25 | 0.20 | 0.45 | 0.24 | 0.21 |
5 | 4 | 0.24 | 0.04 | 0.20 | 0.42 | 0.14 | 0.28 | 0.35 | 0.15 | 0.20 | 0.38 | 0.16 | 0.21 |
6 | 5 | 0.52 | 0.18 | 0.34 | 1.24 | 0.18 | 1.06 | 0.39 | 0.15 | 0.24 | 0.59 | 0.32 | 0.26 |
6 | 14 | 0.41 | 0.18 | 0.23 | 0.51 | 0.18 | 0.33 | 0.47 | 0.15 | 0.32 | 0.63 | 0.32 | 0.31 |
7 | 5 | 0.52 | 0.09 | 0.43 | 1.25 | 0.09 | 1.16 | 0.39 | 0.09 | 0.30 | 0.59 | 0.39 | 0.20 |
7 | 13 | 0.49 | 0.09 | 0.40 | 0.53 | 0.09 | 0.44 | 1.17 | 0.09 | 1.07 | 0.65 | 0.39 | 0.26 |
8 | 7 | 0.69 | 0.10 | 0.59 | 0.53 | 0.19 | 0.34 | 0.50 | 0.11 | 0.39 | 0.69 | 0.36 | 0.33 |
8 | 9 | 0.39 | 0.10 | 0.28 | 0.58 | 0.19 | 0.39 | 0.41 | 0.11 | 0.30 | 0.57 | 0.36 | 0.21 |
9 | 10 | 0.23 | 0.03 | 0.20 | 0.25 | 0.05 | 0.20 | 0.24 | 0.04 | 0.20 | 0.35 | 0.15 | 0.20 |
10 | 11 | 0.34 | 0.14 | 0.20 | 0.32 | 0.11 | 0.20 | 0.29 | 0.09 | 0.20 | 0.43 | 0.23 | 0.20 |
11 | 12 | 0.39 | 0.19 | 0.20 | 0.37 | 0.17 | 0.20 | 0.34 | 0.14 | 0.21 | 0.53 | 0.33 | 0.20 |
12 | 13 | 0.49 | 0.21 | 0.29 | 0.53 | 0.22 | 0.31 | 1.16 | 0.24 | 0.92 | 0.65 | 0.43 | 0.21 |
12 | 14 | 0.41 | 0.21 | 0.20 | 0.51 | 0.22 | 0.29 | 0.47 | 0.24 | 0.23 | 0.63 | 0.43 | 0.20 |
13 | 8 | 0.34 | 0.05 | 0.28 | 0.47 | 0.07 | 0.39 | 0.33 | 0.13 | 0.20 | 0.53 | 0.33 | 0.20 |
14 | 1 | 0.63 | 0.07 | 0.56 | 0.79 | 0.14 | 0.65 | 0.50 | 0.08 | 0.41 | 0.69 | 0.37 | 0.32 |
14 | 9 | 0.39 | 0.07 | 0.31 | 0.58 | 0.14 | 0.44 | 0.41 | 0.08 | 0.32 | 0.57 | 0.37 | 0.20 |
Relay pairs | PSO | GA | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault 1 | Fault 2 | Fault 3 | Fault 1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 6 | 0.20 | 0.34 | 0.30 | 0.31 | 0.20 | 0.60 | 0.42 | 0.39 |
2 | 1 | 0.20 | 0.20 | 0.54 | 0.57 | 0.28 | 0.34 | 0.53 | 0.42 |
2 | 7 | 0.20 | 0.32 | 0.51 | 0.43 | 0.21 | 0.50 | 0.47 | 0.36 |
3 | 2 | 0.20 | 0.34 | 0.36 | 0.25 | 0.20 | 0.33 | 0.36 | 0.27 |
4 | 3 | 0.20 | 0.78 | 0.33 | 0.25 | 0.20 | 0.35 | 0.35 | 0.27 |
5 | 4 | 0.22 | 0.76 | 0.35 | 0.40 | 0.20 | 0.35 | 0.28 | 0.33 |
6 | 5 | 0.58 | 0.73 | 1.15 | 2.15 | 0.31 | 0.22 | 0.80 | 1.70 |
6 | 14 | 0.33 | 0.42 | 0.64 | 0.90 | 0.29 | 0.64 | 0.59 | 0.72 |
7 | 5 | 0.61 | 0.76 | 2.28 | 50.00 | 0.35 | 0.26 | 1.87 | 99.84 |
7 | 13 | 0.38 | 0.39 | 1.34 | 50.00 | 0.33 | 0.33 | 1.57 | 99.84 |
8 | 7 | 0.26 | 0.38 | 0.62 | 0.96 | 0.26 | 0.56 | 0.55 | 0.74 |
8 | 9 | 0.25 | 0.23 | 0.68 | 1.39 | 0.30 | 0.56 | 0.64 | 1.08 |
9 | 10 | 0.22 | 0.35 | 0.32 | 0.40 | 0.23 | 0.35 | 0.38 | 0.42 |
10 | 11 | 0.22 | 0.62 | 0.36 | 0.29 | 0.20 | 0.34 | 0.36 | 0.27 |
11 | 12 | 0.22 | 0.62 | 0.42 | 0.26 | 0.20 | 0.35 | 0.39 | 0.22 |
12 | 13 | 0.22 | 0.23 | 0.58 | 0.50 | 0.20 | 0.20 | 0.58 | 0.56 |
12 | 14 | 0.20 | 0.29 | 0.55 | 0.42 | 0.20 | 0.55 | 0.51 | 0.37 |
13 | 8 | 0.20 | 0.34 | 0.32 | 0.27 | 0.20 | 0.47 | 0.27 | 0.26 |
14 | 1 | 0.31 | 0.31 | 1.58 | 50.00 | 0.35 | 0.41 | 0.86 | 99.83 |
14 | 9 | 0.30 | 0.27 | 1.28 | 50.00 | 0.32 | 0.58 | 1.05 | 99.83 |
Relay pairs | WCA | GWO | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault1 | Fault 2 | Fault 3 | Fault1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 6 | 0.20 | 0.34 | 0.30 | 0.33 | 0.21 | 0.71 | 0.35 | 0.35 |
2 | 1 | 0.21 | 0.20 | 0.79 | 0.82 | 0.29 | 0.21 | 0.80 | 0.89 |
2 | 7 | 0.20 | 0.53 | 0.76 | 0.72 | 0.20 | 0.24 | 0.58 | 0.38 |
3 | 2 | 0.28 | 0.47 | 0.41 | 0.26 | 0.24 | 0.41 | 0.37 | 0.23 |
4 | 3 | 0.20 | 0.33 | 0.36 | 0.31 | 0.20 | 0.34 | 0.35 | 0.29 |
5 | 4 | 0.20 | 0.36 | 0.26 | 0.30 | 0.20 | 0.73 | 0.31 | 0.35 |
6 | 5 | 0.21 | 0.21 | 0.51 | 0.89 | 0.29 | 0.58 | 0.67 | 1.32 |
6 | 14 | 0.31 | 0.37 | 0.53 | 0.64 | 0.48 | 0.58 | 0.86 | 1.18 |
7 | 5 | 0.24 | 0.23 | 1.01 | 50 | 0.23 | 0.52 | 1.47 | 50 |
7 | 13 | 0.38 | 0.83 | 1.71 | 50 | 0.56 | 0.67 | 4.45 | 50 |
8 | 7 | 0.35 | 0.68 | 0.97 | 1.75 | 0.38 | 0.42 | 0.65 | 0.80 |
8 | 9 | 0.21 | 0.69 | 0.79 | 1.74 | 0.42 | 0.27 | 0.99 | 2.78 |
9 | 10 | 0.20 | 0.34 | 0.29 | 0.38 | 0.20 | 0.43 | 0.29 | 0.29 |
10 | 11 | 0.22 | 0.35 | 0.35 | 0.32 | 0.20 | 0.39 | 0.38 | 0.27 |
11 | 12 | 0.20 | 0.76 | 0.36 | 0.22 | 0.21 | 0.52 | 0.42 | 0.23 |
12 | 13 | 0.24 | 0.69 | 0.61 | 0.64 | 0.46 | 0.57 | 1.01 | 1.24 |
12 | 14 | 0.20 | 0.26 | 0.47 | 0.33 | 0.33 | 0.43 | 0.74 | 0.62 |
13 | 8 | 0.74 | 0.86 | 1.04 | 1.41 | 0.30 | 0.58 | 0.52 | 0.57 |
14 | 1 | 0.44 | 0.43 | 2.08 | 50 | 0.46 | 0.37 | 2.40 | 50 |
14 | 9 | 0.30 | 0.77 | 1.64 | 50 | 0.40 | 0.26 | 2.21 | 50 |
Primary (DOCR) | Backup Zone-2 | PSO | GA | WCA | GWO |
---|---|---|---|---|---|
Fault 4 | Fault 4 | Fault 4 | Fault 4 | ||
CTI 2 | CTI 2 | CTI 2 | CTI 2 | ||
1 | 1 | 0.25 | 0.26 | 0.38 | 0.28 |
2 | 2 | 0.21 | 0.20 | 0.21 | 0.20 |
3 | 3 | 0.63 | 0.20 | 0.20 | 0.20 |
4 | 4 | 0.63 | 0.20 | 0.21 | 0.59 |
5 | 5 | 0.63 | 0.21 | 0.21 | 0.56 |
6 | 6 | 0.20 | 0.23 | 0.20 | 0.56 |
7 | 7 | 0.3 | 0.49 | 0.64 | 0.21 |
8 | 8 | 0.2 | 0.49 | 0.39 | 0.42 |
9 | 9 | 0.24 | 0.45 | 0.79 | 0.23 |
10 | 10 | 0.21 | 0.45 | 0.21 | 0.27 |
11 | 11 | 0.46 | 0.32 | 0.20 | 0.24 |
12 | 12 | 0.44 | 0.32 | 0.61 | 0.35 |
13 | 13 | 0.26 | 0.51 | 0.74 | 0.56 |
14 | 14 | 0.30 | 0.20 | 0.21 | 0.37 |
Relay pairs | EO | AVOA | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault1 | Fault 2 | Fault 3 | Fault1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 6 | 0.20 | 0.49 | 0.75 | 0.67 | 0.28 | 0.55 | 0.44 | 0.41 |
2 | 1 | 0.20 | 0.26 | 0.68 | 0.32 | 0.51 | 0.54 | 1.03 | 1.07 |
2 | 7 | 0.26 | 0.39 | 0.94 | 0.88 | 0.25 | 0.31 | 0.69 | 0.63 |
3 | 2 | 0.20 | 0.53 | 0.51 | 0.23 | 0.22 | 0.57 | 0.45 | 0.26 |
4 | 3 | 0.22 | 0.66 | 0.36 | 0.22 | 0.21 | 0.39 | 0.44 | 0.25 |
5 | 4 | 0.20 | 0.50 | 0.27 | 0.28 | 0.28 | 0.52 | 0.51 | 0.43 |
6 | 5 | 0.34 | 0.48 | 0.85 | 1.42 | 1.06 | 0.55 | 2.01 | 3.76 |
6 | 14 | 0.23 | 0.34 | 0.61 | 0.79 | 0.33 | 0.53 | 0.68 | 0.78 |
7 | 5 | 0.43 | 0.57 | 1.68 | 50 | 1.16 | 0.64 | 3.97 | 50.00 |
7 | 13 | 0.40 | 0.37 | 1.51 | 50 | 0.44 | 0.42 | 1.33 | 14.86 |
8 | 7 | 0.59 | 0.72 | 1.20 | 2.30 | 0.34 | 0.41 | 0.87 | 1.46 |
8 | 9 | 0.28 | 0.72 | 0.70 | 1.57 | 0.39 | 0.27 | 1.04 | 2.32 |
9 | 10 | 0.20 | 0.36 | 0.26 | 0.29 | 0.20 | 0.37 | 0.30 | 0.34 |
10 | 11 | 0.20 | 0.35 | 0.37 | 0.28 | 0.20 | 0.63 | 0.34 | 0.26 |
11 | 12 | 0.20 | 0.67 | 0.42 | 0.26 | 0.20 | 0.58 | 0.40 | 0.24 |
12 | 13 | 0.29 | 0.25 | 0.64 | 0.63 | 0.31 | 0.29 | 0.66 | 0.60 |
12 | 14 | 0.20 | 0.31 | 0.51 | 0.42 | 0.29 | 0.49 | 0.60 | 0.47 |
13 | 8 | 0.28 | 0.52 | 0.43 | 0.51 | 0.39 | 0.62 | 0.56 | 0.60 |
14 | 1 | 0.56 | 0.62 | 0.93 | 50 | 0.65 | 0.68 | 2.13 | 50.00 |
14 | 9 | 0.31 | 0.75 | 1.39 | 50 | 0.44 | 0.32 | 2.07 | 50.00 |
Relay pairs | FDA | GTO | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault1 | Fault 2 | Fault 3 | Fault1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 6 | 0.21 | 0.68 | 0.53 | 0.49 | 0.21 | 0.62 | 0.40 | 0.27 |
2 | 1 | 0.20 | 0.22 | 0.57 | 0.36 | 0.21 | 0.36 | 0.77 | 0.71 |
2 | 7 | 0.20 | 0.20 | 0.63 | 0.50 | 0.22 | 0.26 | 0.68 | 0.38 |
3 | 2 | 0.21 | 0.52 | 0.43 | 0.21 | 0.23 | 0.48 | 0.49 | 0.25 |
4 | 3 | 0.20 | 0.62 | 0.51 | 0.33 | 0.21 | 0.38 | 0.37 | 0.22 |
5 | 4 | 0.20 | 0.45 | 0.37 | 0.25 | 0.21 | 0.35 | 0.34 | 0.33 |
6 | 5 | 0.24 | 0.28 | 0.51 | 0.66 | 0.26 | 0.52 | 0.83 | 2.21 |
6 | 14 | 0.32 | 0.29 | 0.71 | 1.02 | 0.31 | 0.51 | 0.64 | 0.57 |
7 | 5 | 0.30 | 0.34 | 0.86 | 50.00 | 0.20 | 0.45 | 2.45 | 50.00 |
7 | 13 | 1.07 | 0.80 | 3.29 | 50.00 | 0.26 | 0.47 | 0.94 | 50.00 |
8 | 7 | 0.39 | 0.39 | 0.77 | 1.24 | 0.33 | 0.37 | 0.76 | 0.81 |
8 | 9 | 0.30 | 0.20 | 0.97 | 50.00 | 0.21 | 0.21 | 1.02 | 50.00 |
9 | 10 | 0.20 | 0.85 | 0.31 | 0.42 | 0.20 | 0.35 | 0.31 | 0.32 |
10 | 11 | 0.20 | 0.35 | 0.32 | 0.28 | 0.20 | 0.37 | 0.35 | 0.23 |
11 | 12 | 0.21 | 0.42 | 0.35 | 0.21 | 0.20 | 0.37 | 0.45 | 0.22 |
12 | 13 | 0.92 | 0.65 | 1.52 | 1.77 | 0.21 | 0.43 | 0.62 | 0.35 |
12 | 14 | 0.23 | 0.20 | 0.59 | 0.51 | 0.20 | 0.40 | 0.59 | 0.30 |
13 | 8 | 0.20 | 0.50 | 0.41 | 0.34 | 0.20 | 0.34 | 0.49 | 0.29 |
14 | 1 | 0.41 | 0.43 | 0.94 | 50.00 | 0.32 | 0.46 | 2.36 | 50.00 |
14 | 9 | 0.32 | 0.68 | 28.60 | 50.00 | 0.20 | 0.20 | 0.40 | 50.00 |
Primary (DOCR) | Backup Zone-2 | EO | AVOA | FDA | GTO |
---|---|---|---|---|---|
Fault 4 | Fault 4 | Fault 4 | Fault 4 | ||
CTI 2 | CTI 2 | CTI 2 | CTI 2 | ||
1 | 1 | 0.22 | 0.51 | 0.20 | 0.45 |
2 | 2 | 0.37 | 0.42 | 0.36 | 0.29 |
3 | 3 | 0.45 | 0.24 | 0.51 | 0.20 |
4 | 4 | 0.34 | 0.34 | 0.29 | 0.20 |
5 | 5 | 0.50 | 0.29 | 0.20 | 0.55 |
6 | 6 | 0.46 | 0.35 | 0.58 | 0.46 |
7 | 7 | 0.51 | 0.34 | 0.24 | 0.20 |
8 | 8 | 0.35 | 0.35 | 0.40 | 0.21 |
9 | 9 | 0.71 | 0.29 | 0.20 | 0.32 |
10 | 10 | 0.20 | 0.23 | 0.72 | 0.20 |
11 | 11 | 0.20 | 0.48 | 0.21 | 0.20 |
12 | 12 | 0.54 | 0.43 | 0.24 | 0.20 |
13 | 13 | 0.28 | 0.29 | 0.45 | 0.39 |
14 | 14 | 0.31 | 0.41 | 0.21 | 0.33 |
Methods | The objective function (s) |
---|---|
PSO | 9.84 |
GA | 9.27 |
WCA | 10.15 |
GWO | 10.69 |
EO | 11.72 |
AVOA | 11.32 |
FDA | 10.92 |
GTO | 14.32 |
MAPSO | 16.33 |
ACO | 23.51 |
ACO-LP | 23.3 |
MHBO | 17.23 |
ISOA | 17.84 |
SOA | 25.11 |
Parameters | GA | PSO | GWO | WCA | EO | GTO | FDA | AVOA |
---|---|---|---|---|---|---|---|---|
Best | 9.27 | 9.84 | 10.69 | 10.15 | 11.72 | 14.32 | 10.92 | 11.32 |
Worst | 10.57 | 12.02 | 17.40 | 12.51 | 18.96 | 19.03 | 14.26 | 13.94 |
Mean | 9.86 | 10.33 | 12.92 | 11.63 | 12.51 | 16.72 | 11.27 | 12.27 |
Standard Deviation | 0.42 | 0.65 | 2.50 | 0.65 | 2.07 | 1.64 | 1.21 | 0.79 |
3.2 The IEE 30-bus test system
Relay No | PSO | GA | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 2.89 | 0.10 | 43.98 | 1.24 | 0.72 | 3.42 | 0.32 | 48.14 | 1.92 | 0.66 |
2 | 2.36 | 0.53 | 12.36 | 1.79 | 0.60 | 2.39 | 0.20 | 24.79 | 1.64 | 0.42 |
3 | 5.24 | 0.07 | 20.95 | 1.51 | 0.77 | 3.46 | 0.14 | 16.16 | 1.24 | 0.60 |
4 | 2.96 | 0.12 | 68.58 | 1.97 | 0.58 | 3.11 | 0.18 | 15.45 | 1.38 | 0.50 |
5 | 3.21 | 0.86 | 6.01 | 1.99 | 0.89 | 2.78 | 0.10 | 29.05 | 1.39 | 0.52 |
6 | 1.54 | 0.05 | 36.84 | 1.16 | 0.54 | 2.60 | 0.10 | 18.95 | 1.68 | 0.57 |
7 | 1.78 | 0.16 | 25.61 | 1.90 | 0.45 | 2.34 | 0.12 | 12.97 | 1.60 | 0.46 |
8 | 1.78 | 0.53 | 2.66 | 1.65 | 0.33 | 2.46 | 0.12 | 4.02 | 1.45 | 0.32 |
9 | 4.35 | 0.32 | 14.20 | 1.52 | 0.84 | 2.86 | 0.35 | 56.34 | 1.86 | 0.47 |
10 | 1.95 | 0.88 | 26.17 | 1.83 | 0.54 | 2.23 | 0.30 | 32.21 | 1.49 | 0.73 |
11 | 2.40 | 0.13 | 65.16 | 1.78 | 0.57 | 2.07 | 0.83 | 17.93 | 1.88 | 0.62 |
12 | 3.58 | 0.79 | 5.41 | 1.84 | 0.60 | 2.78 | 0.29 | 24.90 | 1.86 | 0.47 |
13 | 4.36 | 0.14 | 10.73 | 1.34 | 0.51 | 2.43 | 0.13 | 46.77 | 1.51 | 0.56 |
14 | 2.00 | 0.09 | 41.49 | 1.65 | 0.46 | 1.97 | 0.35 | 16.23 | 1.95 | 0.45 |
15 | 3.20 | 0.14 | 3.44 | 0.89 | 0.44 | 2.34 | 0.36 | 5.43 | 1.41 | 0.49 |
16 | 2.66 | 0.05 | 112.38 | 2.00 | 0.56 | 2.45 | 0.24 | 19.08 | 1.89 | 0.45 |
17 | 1.50 | 0.15 | 18.51 | 1.55 | 0.69 | 1.63 | 0.05 | 42.48 | 1.41 | 0.68 |
18 | 2.13 | 0.39 | 12.21 | 1.73 | 0.62 | 2.58 | 0.35 | 9.74 | 1.75 | 0.72 |
19 | 1.52 | 0.30 | 51.25 | 1.91 | 0.62 | 2.26 | 0.20 | 40.51 | 1.91 | 0.48 |
20 | 1.63 | 0.06 | 82.57 | 1.91 | 0.48 | 1.99 | 0.27 | 6.06 | 1.41 | 0.48 |
21 | 1.50 | 0.17 | 2.75 | 0.86 | 0.41 | 1.74 | 0.07 | 20.65 | 1.81 | 0.36 |
22 | 2.95 | 0.35 | 6.50 | 1.36 | 0.44 | 3.24 | 0.12 | 18.30 | 1.34 | 0.47 |
23 | 2.57 | 0.23 | 8.93 | 1.47 | 0.53 | 2.80 | 0.40 | 7.15 | 1.80 | 0.53 |
24 | 1.63 | 0.31 | 5.14 | 1.43 | 0.57 | 1.71 | 0.09 | 16.08 | 1.51 | 0.52 |
25 | 1.50 | 0.05 | 77.78 | 1.49 | 0.44 | 2.07 | 0.05 | 85.05 | 1.99 | 0.42 |
26 | 2.35 | 0.80 | 0.15 | 1.56 | 0.65 | 2.92 | 0.05 | 0.22 | 1.73 | 0.21 |
27 | 1.52 | 0.28 | 0.14 | 1.70 | 0.22 | 1.66 | 0.27 | 0.31 | 1.42 | 0.24 |
28 | 1.91 | 0.19 | 6.58 | 1.45 | 0.95 | 2.12 | 0.19 | 6.27 | 1.59 | 0.50 |
29 | 1.80 | 0.11 | 57.52 | 1.95 | 0.47 | 2.06 | 0.16 | 19.58 | 1.65 | 0.49 |
30 | 2.72 | 0.10 | 7.24 | 0.74 | 0.51 | 3.18 | 0.09 | 40.65 | 1.61 | 0.54 |
31 | 1.50 | 0.52 | 20.34 | 2.00 | 0.55 | 3.71 | 0.14 | 7.14 | 1.82 | 0.49 |
32 | 1.83 | 0.27 | 34.04 | 1.95 | 0.73 | 2.66 | 0.11 | 22.42 | 1.54 | 0.64 |
33 | 1.61 | 0.19 | 91.27 | 1.92 | 0.48 | 2.87 | 0.22 | 24.29 | 1.94 | 0.45 |
34 | 3.70 | 0.26 | 12.41 | 1.80 | 0.54 | 2.31 | 0.22 | 41.48 | 1.83 | 0.66 |
35 | 3.28 | 0.07 | 59.31 | 1.93 | 0.47 | 2.16 | 0.20 | 31.79 | 1.79 | 0.44 |
36 | 2.57 | 0.35 | 1.28 | 1.88 | 0.61 | 2.01 | 0.21 | 6.37 | 1.65 | 0.32 |
37 | 4.62 | 0.38 | 2.63 | 1.59 | 0.56 | 2.20 | 0.14 | 15.97 | 1.29 | 0.68 |
38 | 2.02 | 0.08 | 48.33 | 1.55 | 0.46 | 2.53 | 0.17 | 23.29 | 1.68 | 0.51 |
OF | 26.50 | 24.32 |
Relay No | WCA | GWO | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 2.94 | 0.05 | 119.77 | 1.42 | 0.54 | 3.34 | 0.31 | 49.95 | 1.90 | 0.67 |
2 | 1.50 | 0.72 | 28.60 | 1.99 | 0.90 | 3.72 | 0.10 | 10.75 | 1.06 | 0.83 |
3 | 5.78 | 0.99 | 0.78 | 1.17 | 0.90 | 2.59 | 0.35 | 37.14 | 1.90 | 0.74 |
4 | 2.39 | 0.15 | 95.58 | 2.00 | 0.74 | 1.98 | 0.80 | 12.23 | 1.64 | 0.68 |
5 | 6.00 | 0.68 | 0.14 | 0.32 | 0.90 | 4.14 | 0.07 | 42.57 | 1.75 | 0.62 |
6 | 1.89 | 0.06 | 119.42 | 2.00 | 0.68 | 1.86 | 0.08 | 14.68 | 1.03 | 0.83 |
7 | 2.56 | 0.05 | 103.78 | 2.00 | 0.90 | 1.55 | 0.20 | 18.79 | 1.72 | 0.43 |
8 | 1.53 | 0.05 | 104.22 | 2.00 | 0.90 | 2.37 | 0.18 | 4.82 | 1.40 | 0.48 |
9 | 6.00 | 1.10 | 3.55 | 1.80 | 0.46 | 4.00 | 0.37 | 51.67 | 2.00 | 0.60 |
10 | 5.93 | 0.05 | 27.27 | 1.51 | 0.90 | 3.17 | 0.09 | 68.53 | 1.47 | 0.81 |
11 | 5.99 | 0.05 | 27.09 | 1.97 | 0.50 | 3.13 | 0.12 | 12.50 | 1.07 | 0.62 |
12 | 1.54 | 0.23 | 120.00 | 2.00 | 0.43 | 1.79 | 0.06 | 13.66 | 0.54 | 0.55 |
13 | 1.50 | 0.25 | 120.00 | 2.00 | 0.90 | 3.12 | 0.27 | 24.82 | 1.86 | 0.74 |
14 | 5.01 | 0.07 | 10.90 | 1.92 | 0.45 | 2.35 | 0.36 | 6.11 | 1.42 | 0.70 |
15 | 4.89 | 0.09 | 8.13 | 1.94 | 0.40 | 2.74 | 0.16 | 19.43 | 1.75 | 0.58 |
16 | 1.50 | 0.42 | 10.59 | 1.26 | 0.54 | 3.26 | 0.13 | 14.61 | 1.40 | 0.70 |
17 | 1.90 | 0.10 | 56.25 | 1.99 | 0.47 | 1.64 | 0.21 | 1.35 | 1.03 | 0.55 |
18 | 1.50 | 1.10 | 7.62 | 1.70 | 0.47 | 3.98 | 0.22 | 10.44 | 1.88 | 0.66 |
19 | 2.28 | 0.09 | 81.17 | 2.00 | 0.42 | 2.65 | 0.16 | 4.44 | 0.65 | 0.59 |
20 | 1.53 | 0.10 | 44.87 | 1.86 | 0.43 | 1.83 | 0.27 | 4.89 | 1.13 | 0.56 |
21 | 1.50 | 0.05 | 30.82 | 2.00 | 0.90 | 1.77 | 0.30 | 9.46 | 1.70 | 0.67 |
22 | 6.00 | 0.14 | 11.08 | 1.99 | 0.90 | 1.74 | 0.13 | 23.43 | 1.05 | 0.52 |
23 | 1.55 | 0.89 | 13.09 | 1.99 | 0.90 | 1.58 | 0.25 | 24.36 | 1.56 | 0.64 |
24 | 1.50 | 0.08 | 0.14 | 0.02 | 0.56 | 1.52 | 0.07 | 8.96 | 0.78 | 0.60 |
25 | 6.00 | 0.05 | 5.28 | 1.89 | 0.90 | 1.74 | 0.25 | 26.74 | 0.92 | 0.79 |
26 | 1.75 | 0.05 | 0.16 | 2.00 | 0.20 | 1.65 | 0.11 | 8.08 | 1.64 | 0.20 |
27 | 6.00 | 0.05 | 0.24 | 1.58 | 0.20 | 1.52 | 0.06 | 10.20 | 2.00 | 0.32 |
28 | 1.50 | 0.05 | 119.99 | 2.00 | 0.63 | 2.65 | 0.05 | 6.59 | 0.74 | 0.67 |
29 | 1.78 | 1.05 | 4.43 | 1.80 | 0.45 | 2.30 | 0.08 | 53.71 | 1.92 | 0.59 |
30 | 3.64 | 0.10 | 32.30 | 1.82 | 0.49 | 2.44 | 0.66 | 9.35 | 1.71 | 0.56 |
31 | 1.50 | 0.18 | 61.80 | 2.00 | 0.90 | 1.83 | 0.19 | 19.62 | 1.53 | 0.84 |
32 | 4.32 | 0.05 | 24.38 | 2.00 | 0.90 | 1.52 | 0.45 | 32.18 | 2.00 | 0.71 |
33 | 6.00 | 0.05 | 1.70 | 0.30 | 0.90 | 3.37 | 0.41 | 9.42 | 1.76 | 0.71 |
34 | 1.50 | 0.13 | 5.47 | 0.48 | 0.57 | 5.38 | 0.08 | 24.44 | 1.95 | 0.65 |
35 | 6.00 | 0.05 | 25.53 | 2.00 | 0.90 | 2.07 | 0.87 | 3.63 | 1.32 | 0.72 |
36 | 1.50 | 0.05 | 54.70 | 2.00 | 0.89 | 2.51 | 0.06 | 3.68 | 1.71 | 0.50 |
37 | 1.50 | 0.19 | 85.91 | 1.99 | 0.45 | 1.68 | 0.09 | 11.68 | 0.73 | 0.78 |
38 | 1.65 | 0.16 | 120.00 | 1.98 | 0.90 | 1.50 | 0.28 | 10.45 | 1.13 | 0.58 |
OF | 30.40 | 32.01 |
Relay No | EO | AVOA | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 1.51 | 1.01 | 0.17 | 0.11 | 0.67 | 2.48 | 0.74 | 1.10 | 0.37 | 0.86 |
2 | 2.03 | 0.11 | 107.78 | 1.97 | 1.48 | 1.82 | 0.63 | 1.43 | 0.52 | 0.85 |
3 | 1.51 | 0.85 | 1.41 | 0.62 | 0.69 | 2.23 | 0.64 | 1.36 | 0.47 | 0.73 |
4 | 2.47 | 1.03 | 12.37 | 1.99 | 0.47 | 3.81 | 0.65 | 1.11 | 0.56 | 0.87 |
5 | 5.95 | 1.10 | 1.09 | 1.91 | 0.48 | 2.99 | 0.59 | 1.19 | 0.48 | 0.83 |
6 | 2.10 | 0.34 | 2.48 | 0.97 | 0.50 | 1.69 | 0.59 | 1.10 | 0.47 | 0.83 |
7 | 2.25 | 0.51 | 2.41 | 1.46 | 0.42 | 2.05 | 0.62 | 0.78 | 0.59 | 0.85 |
8 | 1.84 | 0.05 | 26.94 | 1.82 | 0.28 | 1.71 | 0.55 | 1.38 | 0.60 | 0.81 |
9 | 2.74 | 0.05 | 23.58 | 0.56 | 1.02 | 6.00 | 0.75 | 1.29 | 0.59 | 0.86 |
10 | 1.56 | 0.19 | 29.23 | 1.01 | 0.69 | 2.39 | 0.90 | 1.28 | 0.47 | 0.87 |
11 | 3.42 | 0.05 | 39.46 | 1.40 | 0.55 | 1.63 | 0.64 | 1.87 | 0.49 | 0.84 |
12 | 1.52 | 0.59 | 1.69 | 0.58 | 0.68 | 1.58 | 0.61 | 1.23 | 0.33 | 0.84 |
13 | 1.51 | 0.95 | 28.15 | 1.92 | 0.47 | 2.33 | 0.64 | 1.19 | 0.44 | 0.88 |
14 | 2.37 | 0.05 | 85.62 | 1.99 | 1.20 | 1.76 | 0.49 | 1.78 | 0.49 | 0.87 |
15 | 5.94 | 0.05 | 12.05 | 1.98 | 0.52 | 1.83 | 0.70 | 1.28 | 0.57 | 0.72 |
16 | 1.51 | 0.06 | 70.01 | 1.27 | 0.74 | 1.51 | 0.56 | 1.45 | 0.42 | 0.79 |
17 | 1.69 | 0.72 | 13.20 | 2.00 | 0.61 | 1.91 | 0.59 | 0.79 | 0.47 | 0.80 |
18 | 1.53 | 0.24 | 30.18 | 1.59 | 1.42 | 1.59 | 0.65 | 1.24 | 0.45 | 0.82 |
19 | 5.03 | 0.46 | 0.40 | 0.52 | 0.48 | 1.89 | 0.59 | 1.31 | 0.45 | 0.77 |
20 | 2.43 | 0.47 | 1.17 | 0.98 | 0.58 | 1.92 | 0.74 | 1.21 | 0.76 | 0.85 |
21 | 2.15 | 0.06 | 5.23 | 1.06 | 0.60 | 1.83 | 0.58 | 0.55 | 0.48 | 0.82 |
22 | 5.92 | 0.50 | 0.93 | 0.93 | 0.48 | 1.77 | 0.63 | 1.32 | 0.49 | 0.86 |
23 | 5.99 | 1.09 | 0.14 | 0.81 | 0.51 | 2.63 | 0.60 | 0.94 | 0.58 | 0.79 |
24 | 2.52 | 0.62 | 2.00 | 2.00 | 0.54 | 1.58 | 0.52 | 1.19 | 0.60 | 0.84 |
25 | 1.52 | 0.58 | 10.74 | 1.85 | 0.43 | 2.69 | 0.50 | 1.53 | 0.59 | 0.85 |
26 | 1.51 | 0.06 | 0.57 | 1.23 | 0.20 | 1.61 | 0.59 | 0.81 | 0.51 | 0.73 |
27 | 1.73 | 0.06 | 0.14 | 1.86 | 0.21 | 1.51 | 0.36 | 0.83 | 0.55 | 0.80 |
28 | 1.66 | 0.08 | 20.69 | 1.21 | 0.71 | 1.55 | 0.52 | 1.04 | 0.49 | 0.80 |
29 | 1.53 | 0.89 | 13.64 | 1.90 | 0.62 | 3.14 | 0.60 | 0.67 | 0.51 | 0.78 |
30 | 5.61 | 0.05 | 35.65 | 1.89 | 1.46 | 2.17 | 0.61 | 1.23 | 0.45 | 0.76 |
31 | 2.14 | 0.06 | 88.65 | 1.89 | 1.19 | 1.89 | 0.62 | 1.40 | 0.60 | 0.87 |
32 | 1.80 | 0.09 | 47.05 | 1.50 | 0.70 | 2.07 | 0.51 | 1.20 | 0.45 | 0.86 |
33 | 2.17 | 1.07 | 9.62 | 1.88 | 0.51 | 1.55 | 0.64 | 1.78 | 0.50 | 0.84 |
34 | 2.68 | 0.60 | 3.56 | 1.12 | 0.63 | 1.68 | 0.64 | 1.47 | 0.42 | 0.85 |
35 | 2.15 | 0.11 | 2.55 | 0.36 | 1.25 | 2.02 | 0.67 | 1.47 | 0.52 | 0.79 |
36 | 1.52 | 0.47 | 15.34 | 2.00 | 1.44 | 1.70 | 0.60 | 1.38 | 1.38 | 0.70 |
37 | 1.63 | 0.10 | 80.52 | 1.71 | 0.51 | 1.51 | 0.59 | 1.46 | 0.46 | 0.79 |
38 | 1.82 | 0.33 | 15.67 | 1.41 | 0.58 | 2.55 | 0.63 | 1.18 | 0.52 | 0.85 |
OF | 32.84 | 45.92 |
Relay No | FDA | GTO | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ip (A) | TDS | A | B | Z2 (s) | Ip (A) | TDS | A | B | Z2 (s) | |
1 | 1.59 | 0.54 | 119.59 | 1.98 | 0.47 | 2.19 | 1.01 | 4.73 | 1.07 | 0.84 |
2 | 6.00 | 0.08 | 0.61 | 0.20 | 0.41 | 1.98 | 1.04 | 6.18 | 1.53 | 0.44 |
3 | 5.99 | 1.10 | 1.54 | 1.83 | 0.46 | 2.18 | 0.79 | 4.07 | 1.14 | 0.82 |
4 | 3.21 | 0.81 | 7.76 | 1.94 | 0.77 | 2.38 | 1.05 | 4.15 | 1.39 | 0.85 |
5 | 5.88 | 0.17 | 3.83 | 1.49 | 0.81 | 1.93 | 1.04 | 16.42 | 1.85 | 0.83 |
6 | 3.84 | 0.05 | 22.16 | 1.99 | 0.41 | 1.93 | 1.00 | 3.44 | 1.56 | 0.86 |
7 | 5.30 | 0.38 | 0.38 | 1.22 | 0.40 | 2.16 | 0.49 | 2.71 | 1.52 | 0.39 |
8 | 4.27 | 0.05 | 0.29 | 0.27 | 0.39 | 2.28 | 1.05 | 3.35 | 1.62 | 0.63 |
9 | 2.25 | 0.98 | 1.61 | 0.75 | 0.47 | 2.45 | 1.05 | 2.95 | 0.97 | 0.83 |
10 | 4.56 | 0.75 | 5.23 | 1.77 | 0.57 | 1.86 | 0.75 | 22.67 | 1.51 | 0.85 |
11 | 1.82 | 0.09 | 118.59 | 1.71 | 0.57 | 2.39 | 0.94 | 5.00 | 1.37 | 0.66 |
12 | 1.51 | 0.83 | 33.68 | 2.00 | 0.82 | 2.41 | 0.94 | 3.28 | 1.33 | 0.45 |
13 | 5.96 | 0.10 | 16.84 | 1.92 | 0.85 | 2.17 | 1.02 | 5.02 | 1.42 | 0.80 |
14 | 5.69 | 0.06 | 8.27 | 1.90 | 0.50 | 2.35 | 1.00 | 3.41 | 1.91 | 0.83 |
15 | 1.80 | 0.07 | 91.29 | 1.90 | 0.48 | 2.30 | 1.03 | 3.19 | 1.68 | 0.48 |
16 | 2.43 | 0.08 | 32.03 | 1.28 | 0.85 | 2.85 | 1.04 | 3.32 | 1.89 | 0.84 |
17 | 2.34 | 0.05 | 7.95 | 2.00 | 0.51 | 2.33 | 1.02 | 0.63 | 1.74 | 0.84 |
18 | 2.86 | 1.07 | 3.85 | 1.84 | 0.54 | 2.30 | 1.04 | 3.20 | 1.55 | 0.79 |
19 | 2.44 | 0.05 | 111.93 | 1.81 | 0.48 | 2.33 | 1.05 | 3.79 | 1.57 | 0.80 |
20 | 1.60 | 0.05 | 111.69 | 1.98 | 0.48 | 2.49 | 1.05 | 2.20 | 1.92 | 0.85 |
21 | 2.36 | 0.05 | 3.71 | 1.46 | 0.42 | 2.53 | 0.98 | 2.18 | 1.61 | 0.82 |
22 | 5.99 | 0.77 | 1.95 | 1.96 | 0.67 | 2.83 | 1.00 | 3.81 | 1.56 | 0.79 |
23 | 2.39 | 0.07 | 36.87 | 1.60 | 0.48 | 2.12 | 0.98 | 3.08 | 1.52 | 0.87 |
24 | 1.82 | 0.06 | 40.15 | 1.96 | 0.49 | 2.16 | 1.02 | 2.23 | 1.86 | 0.88 |
25 | 1.55 | 0.05 | 117.86 | 1.09 | 0.86 | 3.44 | 1.05 | 3.33 | 1.91 | 0.88 |
26 | 1.50 | 0.05 | 1.69 | 0.62 | 0.73 | 1.50 | 1.05 | 3.14 | 1.89 | 0.86 |
27 | 5.96 | 0.08 | 0.21 | 1.93 | 0.21 | 2.03 | 0.97 | 0.26 | 1.77 | 0.89 |
28 | 1.50 | 0.06 | 86.91 | 1.82 | 0.71 | 1.90 | 1.00 | 2.38 | 1.90 | 0.82 |
29 | 1.59 | 0.08 | 110.13 | 2.00 | 0.46 | 2.35 | 1.04 | 3.57 | 1.93 | 0.83 |
30 | 1.96 | 1.10 | 10.97 | 1.87 | 0.53 | 1.91 | 0.88 | 4.20 | 1.27 | 0.79 |
31 | 1.51 | 0.05 | 111.50 | 1.58 | 0.66 | 2.10 | 0.97 | 3.60 | 1.67 | 0.78 |
32 | 5.36 | 0.06 | 6.16 | 1.39 | 0.90 | 1.99 | 1.01 | 4.54 | 1.59 | 0.63 |
33 | 1.78 | 0.54 | 22.73 | 1.77 | 0.51 | 2.21 | 1.04 | 3.86 | 1.30 | 0.81 |
34 | 1.67 | 0.06 | 1.55 | 0.10 | 0.71 | 4.11 | 1.05 | 3.36 | 1.89 | 0.80 |
35 | 4.66 | 0.07 | 26.49 | 1.96 | 0.44 | 2.40 | 0.96 | 3.59 | 1.42 | 0.50 |
36 | 1.51 | 0.76 | 5.48 | 1.99 | 0.89 | 1.95 | 1.03 | 4.44 | 1.93 | 0.83 |
37 | 5.18 | 0.05 | 0.15 | 0.03 | 0.85 | 2.30 | 0.69 | 3.62 | 1.37 | 0.79 |
38 | 1.60 | 0.05 | 54.67 | 1.01 | 0.90 | 2.05 | 1.04 | 3.76 | 1.40 | 0.77 |
OF | 28.74 | 35.77 |
Relay pairs | PSO | GA | WCA | GWO | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | ||
1 | 21 | 0.19 | 0.68 | 0.50 | 0.15 | 1.21 | 1.06 | 0.17 | 0.66 | 0.49 | 0.15 | 2.57 | 2.43 |
1 | 28 | 0.19 | 0.40 | 0.22 | 0.15 | 0.38 | 0.24 | 0.17 | 0.57 | 0.40 | 0.15 | 0.56 | 0.41 |
1 | 29 | 0.19 | 0.41 | 0.22 | 0.15 | 0.42 | 0.27 | 0.17 | 0.37 | 0.20 | 0.15 | 0.45 | 0.31 |
2 | 20 | 0.04 | 0.95 | 0.91 | 0.05 | 0.88 | 0.83 | 0.03 | 0.83 | 0.80 | 0.09 | 0.87 | 0.78 |
2 | 28 | 0.04 | 0.40 | 0.36 | 0.05 | 0.38 | 0.33 | 0.03 | 0.57 | 0.54 | 0.09 | 0.56 | 0.47 |
2 | 29 | 0.04 | 0.41 | 0.37 | 0.05 | 0.42 | 0.37 | 0.03 | 0.37 | 0.34 | 0.09 | 0.45 | 0.36 |
3 | 1 | 0.21 | 0.43 | 0.21 | 0.26 | 0.49 | 0.22 | 0.22 | 0.42 | 0.20 | 0.25 | 0.48 | 0.23 |
4 | 2 | 0.10 | 0.44 | 0.34 | 0.14 | 0.44 | 0.30 | 0.11 | 0.39 | 0.28 | 0.13 | 0.47 | 0.35 |
4 | 3 | 0.10 | 0.31 | 0.21 | 0.14 | 0.36 | 0.21 | 0.11 | 0.31 | 0.20 | 0.13 | 0.38 | 0.25 |
5 | 4 | 0.08 | 0.34 | 0.25 | 0.13 | 0.35 | 0.22 | 0.16 | 0.36 | 0.20 | 0.12 | 0.35 | 0.23 |
5 | 37 | 0.08 | 0.38 | 0.30 | 0.13 | 0.36 | 0.22 | 0.16 | 0.36 | 0.20 | 0.12 | 0.40 | 0.28 |
6 | 5 | 0.18 | 0.39 | 0.21 | 0.16 | 0.41 | 0.26 | 0.17 | 0.37 | 0.20 | 0.21 | 0.50 | 0.29 |
7 | 6 | 0.06 | 0.27 | 0.21 | 0.06 | 0.27 | 0.21 | 0.11 | 0.31 | 0.20 | 0.06 | 0.30 | 0.24 |
8 | 6 | 0.03 | 0.27 | 0.24 | 0.03 | 0.27 | 0.24 | 0.04 | 0.31 | 0.27 | 0.06 | 0.30 | 0.25 |
9 | 20 | 0.17 | 0.94 | 0.77 | 0.16 | 0.87 | 0.70 | 0.15 | 0.82 | 0.67 | 0.22 | 0.86 | 0.64 |
9 | 21 | 0.17 | 0.68 | 0.50 | 0.16 | 1.19 | 1.03 | 0.15 | 0.65 | 0.51 | 0.22 | 2.54 | 2.32 |
9 | 29 | 0.17 | 0.41 | 0.24 | 0.16 | 0.42 | 0.26 | 0.15 | 0.37 | 0.22 | 0.22 | 0.45 | 0.24 |
10 | 20 | 0.11 | 0.94 | 0.83 | 0.16 | 0.87 | 0.71 | 0.11 | 0.82 | 0.71 | 0.18 | 0.86 | 0.68 |
10 | 21 | 0.11 | 0.68 | 0.57 | 0.16 | 1.20 | 1.03 | 0.11 | 0.66 | 0.55 | 0.18 | 2.55 | 2.36 |
10 | 28 | 0.11 | 0.41 | 0.29 | 0.16 | 0.38 | 0.22 | 0.11 | 0.57 | 0.46 | 0.18 | 0.56 | 0.38 |
11 | 10 | 0.28 | 0.48 | 0.20 | 0.32 | 0.53 | 0.22 | 0.22 | 0.42 | 0.20 | 0.31 | 0.62 | 0.31 |
12 | 9 | 0.11 | 0.31 | 0.20 | 0.11 | 0.32 | 0.21 | 0.10 | 0.30 | 0.20 | 0.25 | 0.46 | 0.21 |
13 | 11 | 0.20 | 0.41 | 0.20 | 0.23 | 0.46 | 0.22 | 0.15 | 0.35 | 0.20 | 0.19 | 0.39 | 0.21 |
14 | 12 | 0.14 | 0.35 | 0.21 | 0.12 | 0.34 | 0.23 | 0.11 | 0.31 | 0.20 | 0.18 | 0.38 | 0.21 |
15 | 13 | 0.15 | 0.36 | 0.20 | 0.15 | 0.41 | 0.26 | 0.09 | 0.29 | 0.21 | 0.17 | 0.37 | 0.20 |
16 | 14 | 0.10 | 0.34 | 0.23 | 0.09 | 0.32 | 0.23 | 0.18 | 0.38 | 0.20 | 0.17 | 0.39 | 0.22 |
16 | 36 | 0.10 | 1.37 | 1.27 | 0.09 | 1.44 | 1.35 | 0.18 | 0.94 | 0.76 | 0.17 | 0.62 | 0.45 |
17 | 14 | 0.03 | 0.34 | 0.31 | 0.04 | 0.32 | 0.27 | 0.03 | 0.38 | 0.35 | 0.02 | 0.39 | 0.37 |
17 | 35 | 0.03 | 0.38 | 0.35 | 0.04 | 0.33 | 0.28 | 0.03 | 0.46 | 0.43 | 0.02 | 0.36 | 0.35 |
18 | 4 | 0.10 | 0.34 | 0.23 | 0.10 | 0.35 | 0.25 | 0.10 | 0.36 | 0.25 | 0.12 | 0.35 | 0.23 |
18 | 24 | 0.10 | 0.40 | 0.29 | 0.10 | 0.36 | 0.26 | 0.10 | 0.37 | 0.26 | 0.12 | 0.41 | 0.29 |
19 | 15 | 0.10 | 0.30 | 0.20 | 0.12 | 0.33 | 0.22 | 0.09 | 0.30 | 0.21 | 0.24 | 0.44 | 0.20 |
19 | 16 | 0.10 | 0.47 | 0.36 | 0.12 | 0.38 | 0.26 | 0.09 | 0.47 | 0.38 | 0.24 | 0.55 | 0.30 |
19 | 17 | 0.10 | 2.30 | 2.20 | 0.12 | 2.87 | 2.75 | 0.09 | 8.31 | 8.22 | 0.24 | 0.51 | 0.27 |
20 | 22 | 0.06 | 0.27 | 0.20 | 0.09 | 0.30 | 0.21 | 0.06 | 0.26 | 0.20 | 0.13 | 0.33 | 0.20 |
21 | 3 | 0.04 | 0.31 | 0.27 | 0.01 | 0.36 | 0.35 | 0.01 | 0.31 | 0.30 | 0.03 | 0.38 | 0.35 |
21 | 23 | 0.04 | 0.41 | 0.36 | 0.01 | 0.43 | 0.41 | 0.01 | 0.39 | 0.38 | 0.03 | 0.46 | 0.43 |
22 | 2 | 0.19 | 0.44 | 0.24 | 0.21 | 0.44 | 0.23 | 0.16 | 0.39 | 0.23 | 0.25 | 0.47 | 0.22 |
22 | 23 | 0.19 | 0.41 | 0.22 | 0.21 | 0.43 | 0.21 | 0.16 | 0.39 | 0.23 | 0.25 | 0.46 | 0.20 |
23 | 24 | 0.17 | 0.40 | 0.23 | 0.15 | 0.36 | 0.21 | 0.13 | 0.37 | 0.23 | 0.19 | 0.41 | 0.22 |
23 | 37 | 0.17 | 0.38 | 0.21 | 0.15 | 0.35 | 0.21 | 0.13 | 0.36 | 0.23 | 0.19 | 0.40 | 0.21 |
24 | 25 | 0.23 | 0.45 | 0.22 | 0.21 | 0.42 | 0.22 | 0.29 | 0.85 | 0.56 | 0.28 | 2.58 | 2.30 |
26 | 8 | 0.05 | 0.31 | 0.26 | 0.01 | 0.27 | 0.26 | 0.00 | 0.52 | 0.52 | 0.16 | 0.45 | 0.29 |
27 | 7 | 0.00 | 0.28 | 0.27 | 0.01 | 0.27 | 0.26 | 0.02 | 0.65 | 0.62 | 0.02 | 0.26 | 0.23 |
28 | 31 | 0.21 | 0.47 | 0.26 | 0.19 | 0.41 | 0.22 | 0.26 | 0.50 | 0.24 | 0.31 | 0.52 | 0.21 |
29 | 30 | 0.12 | 0.32 | 0.20 | 0.14 | 0.36 | 0.21 | 0.12 | 0.32 | 0.20 | 0.13 | 0.33 | 0.20 |
30 | 32 | 0.27 | 0.48 | 0.21 | 0.26 | 0.49 | 0.23 | 0.23 | 0.43 | 0.20 | 0.24 | 0.48 | 0.24 |
31 | 33 | 0.16 | 0.37 | 0.21 | 0.13 | 0.34 | 0.22 | 0.17 | 0.38 | 0.20 | 0.22 | 0.43 | 0.22 |
32 | 34 | 0.25 | 0.45 | 0.21 | 0.27 | 0.48 | 0.21 | 0.19 | 0.42 | 0.23 | 0.25 | 0.57 | 0.32 |
33 | 35 | 0.12 | 0.37 | 0.26 | 0.10 | 0.33 | 0.22 | 0.19 | 0.46 | 0.27 | 0.14 | 0.36 | 0.22 |
33 | 36 | 0.12 | 1.36 | 1.24 | 0.10 | 1.44 | 1.34 | 0.19 | 0.94 | 0.75 | 0.14 | 0.61 | 0.47 |
34 | 16 | 0.13 | 0.47 | 0.34 | 0.14 | 0.38 | 0.24 | 0.27 | 0.47 | 0.20 | 0.13 | 0.55 | 0.41 |
34 | 17 | 0.13 | 2.30 | 2.17 | 0.14 | 2.87 | 2.73 | 0.27 | 8.32 | 8.06 | 0.13 | 0.51 | 0.38 |
34 | 38 | 0.13 | 0.33 | 0.20 | 0.14 | 0.39 | 0.25 | 0.27 | 0.47 | 0.20 | 0.13 | 0.35 | 0.22 |
35 | 15 | 0.10 | 0.30 | 0.20 | 0.10 | 0.33 | 0.23 | 0.10 | 0.30 | 0.20 | 0.15 | 0.44 | 0.30 |
35 | 17 | 0.10 | 2.31 | 2.21 | 0.10 | 2.88 | 2.78 | 0.10 | 8.38 | 8.28 | 0.15 | 0.52 | 0.37 |
35 | 38 | 0.10 | 0.33 | 0.23 | 0.10 | 0.39 | 0.29 | 0.10 | 0.47 | 0.37 | 0.15 | 0.35 | 0.20 |
36 | 15 | 0.00 | 0.30 | 0.30 | 0.02 | 0.33 | 0.32 | 0.01 | 0.30 | 0.30 | 0.00 | 0.44 | 0.44 |
36 | 16 | 0.00 | 0.47 | 0.46 | 0.02 | 0.38 | 0.36 | 0.01 | 0.47 | 0.46 | 0.00 | 0.55 | 0.54 |
36 | 38 | 0.00 | 0.33 | 0.33 | 0.02 | 0.39 | 0.37 | 0.01 | 0.47 | 0.46 | 0.00 | 0.35 | 0.35 |
37 | 19 | 0.11 | 0.32 | 0.21 | 0.14 | 0.37 | 0.23 | 0.10 | 0.30 | 0.20 | 0.22 | 0.42 | 0.20 |
38 | 18 | 0.15 | 0.38 | 0.23 | 0.16 | 0.39 | 0.22 | 0.18 | 0.38 | 0.20 | 0.19 | 0.55 | 0.36 |
Relay pairs | EO | AVOA | FDA | GTO | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | Tp(s) | Tb (s) | CTI | ||
1 | 21 | 0.39 | 1.10 | 0.71 | 0.46 | 1.47 | 1.01 | 0.11 | 0.82 | 0.70 | 0.23 | 15.44 | 15.21 |
1 | 28 | 0.39 | 0.60 | 0.21 | 0.46 | 0.68 | 0.22 | 0.11 | 0.64 | 0.53 | 0.23 | 0.43 | 0.20 |
1 | 29 | 0.39 | 0.60 | 0.21 | 0.46 | 0.70 | 0.24 | 0.11 | 0.41 | 0.30 | 0.23 | 0.43 | 0.20 |
2 | 20 | 0.03 | 0.79 | 0.76 | 0.22 | 1.11 | 0.89 | 0.10 | 1.07 | 0.96 | 0.06 | 1.37 | 1.31 |
2 | 28 | 0.03 | 0.60 | 0.57 | 0.22 | 0.68 | 0.46 | 0.10 | 0.64 | 0.54 | 0.06 | 0.43 | 0.37 |
2 | 29 | 0.03 | 0.60 | 0.57 | 0.22 | 0.70 | 0.48 | 0.10 | 0.41 | 0.31 | 0.06 | 0.43 | 0.37 |
3 | 1 | 0.30 | 0.50 | 0.21 | 0.47 | 0.68 | 0.20 | 0.19 | 0.39 | 0.20 | 0.27 | 0.47 | 0.20 |
4 | 2 | 0.10 | 0.44 | 0.34 | 0.35 | 0.57 | 0.21 | 0.10 | 0.37 | 0.27 | 0.14 | 0.49 | 0.34 |
4 | 3 | 0.10 | 0.35 | 0.25 | 0.35 | 0.55 | 0.20 | 0.10 | 0.30 | 0.20 | 0.14 | 0.35 | 0.20 |
5 | 4 | 0.08 | 0.34 | 0.26 | 0.39 | 0.61 | 0.23 | 0.08 | 0.32 | 0.24 | 0.14 | 0.35 | 0.21 |
5 | 37 | 0.08 | 0.35 | 0.27 | 0.39 | 0.60 | 0.22 | 0.08 | 0.35 | 0.26 | 0.14 | 0.37 | 0.23 |
6 | 5 | 0.19 | 0.41 | 0.22 | 0.43 | 0.73 | 0.30 | 0.12 | 0.33 | 0.21 | 0.21 | 0.58 | 0.37 |
7 | 6 | 0.06 | 0.27 | 0.21 | 0.19 | 0.54 | 0.35 | 0.04 | 0.25 | 0.20 | 0.06 | 0.34 | 0.28 |
8 | 6 | 0.02 | 0.27 | 0.25 | 0.25 | 0.54 | 0.29 | 0.03 | 0.24 | 0.21 | 0.14 | 0.34 | 0.20 |
9 | 20 | 0.36 | 0.78 | 0.42 | 0.49 | 1.10 | 0.61 | 0.21 | 1.05 | 0.84 | 0.23 | 1.35 | 1.12 |
9 | 21 | 0.36 | 1.08 | 0.72 | 0.49 | 1.46 | 0.96 | 0.21 | 0.79 | 0.58 | 0.23 | 14.68 | 14.45 |
9 | 29 | 0.36 | 0.60 | 0.24 | 0.49 | 0.70 | 0.20 | 0.21 | 0.41 | 0.20 | 0.23 | 0.43 | 0.20 |
10 | 20 | 0.25 | 0.78 | 0.54 | 0.44 | 1.10 | 0.66 | 0.11 | 1.06 | 0.95 | 0.20 | 1.35 | 1.15 |
10 | 21 | 0.25 | 1.08 | 0.84 | 0.44 | 1.46 | 1.02 | 0.11 | 0.80 | 0.69 | 0.20 | 14.85 | 14.65 |
10 | 28 | 0.25 | 0.60 | 0.36 | 0.44 | 0.68 | 0.24 | 0.11 | 0.64 | 0.54 | 0.20 | 0.43 | 0.23 |
11 | 10 | 0.27 | 0.57 | 0.30 | 0.58 | 0.78 | 0.20 | 0.25 | 0.46 | 0.21 | 0.37 | 0.67 | 0.30 |
12 | 9 | 0.24 | 0.48 | 0.24 | 0.49 | 0.70 | 0.21 | 0.09 | 0.29 | 0.20 | 0.13 | 0.34 | 0.21 |
13 | 11 | 0.16 | 0.37 | 0.21 | 0.45 | 0.66 | 0.21 | 0.15 | 0.35 | 0.20 | 0.20 | 0.49 | 0.29 |
14 | 12 | 0.13 | 0.37 | 0.24 | 0.48 | 0.69 | 0.21 | 0.10 | 0.30 | 0.20 | 0.11 | 0.31 | 0.20 |
15 | 13 | 0.12 | 0.32 | 0.20 | 0.38 | 0.59 | 0.20 | 0.12 | 0.32 | 0.20 | 0.14 | 0.35 | 0.20 |
16 | 14 | 0.16 | 0.37 | 0.21 | 0.42 | 0.72 | 0.30 | 0.18 | 0.38 | 0.20 | 0.09 | 0.29 | 0.20 |
16 | 36 | 0.16 | 2.49 | 2.33 | 0.42 | 0.70 | 0.28 | 0.18 | 1.44 | 1.26 | 0.09 | 3.56 | 3.47 |
17 | 14 | 0.03 | 0.37 | 0.33 | 0.18 | 0.73 | 0.54 | 0.00 | 0.38 | 0.38 | 0.01 | 0.29 | 0.28 |
17 | 35 | 0.03 | 0.35 | 0.32 | 0.18 | 0.66 | 0.47 | 0.00 | 0.37 | 0.37 | 0.01 | 0.41 | 0.40 |
18 | 4 | 0.13 | 0.34 | 0.21 | 0.38 | 0.61 | 0.23 | 0.12 | 0.32 | 0.20 | 0.12 | 0.35 | 0.23 |
18 | 24 | 0.13 | 0.42 | 0.29 | 0.38 | 0.60 | 0.22 | 0.12 | 0.35 | 0.23 | 0.12 | 0.60 | 0.47 |
19 | 15 | 0.17 | 0.49 | 0.32 | 0.40 | 0.61 | 0.21 | 0.13 | 0.33 | 0.21 | 0.13 | 0.37 | 0.24 |
19 | 16 | 0.17 | 0.42 | 0.25 | 0.40 | 0.70 | 0.30 | 0.13 | 0.51 | 0.39 | 0.13 | 0.38 | 0.26 |
19 | 17 | 0.17 | 8.07 | 7.90 | 0.40 | 3.55 | 3.15 | 0.13 | 2.93 | 2.80 | 0.13 | 5.14 | 5.01 |
20 | 22 | 0.11 | 0.31 | 0.21 | 0.23 | 0.43 | 0.21 | 0.07 | 0.27 | 0.20 | 0.07 | 0.28 | 0.21 |
21 | 3 | 0.03 | 0.35 | 0.32 | 0.12 | 0.55 | 0.43 | 0.01 | 0.30 | 0.29 | 0.05 | 0.35 | 0.29 |
21 | 23 | 0.03 | 0.44 | 0.42 | 0.12 | 0.57 | 0.44 | 0.01 | 0.37 | 0.37 | 0.05 | 0.40 | 0.35 |
22 | 2 | 0.23 | 0.44 | 0.21 | 0.37 | 0.57 | 0.20 | 0.16 | 0.36 | 0.20 | 0.20 | 0.49 | 0.29 |
22 | 23 | 0.23 | 0.44 | 0.22 | 0.37 | 0.57 | 0.20 | 0.16 | 0.37 | 0.21 | 0.20 | 0.40 | 0.21 |
23 | 24 | 0.14 | 0.42 | 0.27 | 0.33 | 0.60 | 0.28 | 0.15 | 0.35 | 0.20 | 0.16 | 0.59 | 0.43 |
23 | 37 | 0.14 | 0.35 | 0.21 | 0.33 | 0.60 | 0.28 | 0.15 | 0.35 | 0.20 | 0.16 | 0.36 | 0.20 |
24 | 25 | 0.19 | 0.39 | 0.20 | 0.43 | 1.03 | 0.60 | 0.17 | 1.45 | 1.28 | 0.29 | 1.24 | 0.94 |
26 | 8 | 0.01 | 0.26 | 0.25 | 0.58 | 0.83 | 0.25 | 0.08 | 0.34 | 0.26 | 0.34 | 1.34 | 1.00 |
27 | 7 | 0.00 | 0.24 | 0.24 | 0.20 | 0.41 | 0.21 | 0.02 | 0.25 | 0.23 | 0.03 | 0.23 | 0.20 |
28 | 31 | 0.34 | 0.58 | 0.24 | 0.47 | 0.68 | 0.21 | 0.31 | 0.52 | 0.20 | 0.20 | 0.50 | 0.30 |
29 | 30 | 0.19 | 0.39 | 0.21 | 0.35 | 0.58 | 0.22 | 0.12 | 0.32 | 0.20 | 0.13 | 0.33 | 0.20 |
30 | 32 | 0.26 | 0.47 | 0.20 | 0.50 | 0.70 | 0.20 | 0.23 | 0.43 | 0.20 | 0.26 | 0.50 | 0.25 |
31 | 33 | 0.20 | 0.41 | 0.21 | 0.41 | 0.63 | 0.22 | 0.22 | 0.42 | 0.20 | 0.19 | 0.48 | 0.29 |
32 | 34 | 0.27 | 0.50 | 0.23 | 0.53 | 0.73 | 0.20 | 0.19 | 0.43 | 0.24 | 0.28 | 0.55 | 0.27 |
33 | 35 | 0.13 | 0.35 | 0.22 | 0.41 | 0.66 | 0.25 | 0.14 | 0.37 | 0.23 | 0.21 | 0.41 | 0.20 |
33 | 36 | 0.13 | 2.48 | 2.35 | 0.41 | 0.70 | 0.29 | 0.14 | 1.44 | 1.30 | 0.21 | 3.55 | 3.34 |
34 | 16 | 0.22 | 0.42 | 0.20 | 0.47 | 0.70 | 0.23 | 0.31 | 0.51 | 0.20 | 0.15 | 0.38 | 0.24 |
34 | 17 | 0.22 | 8.07 | 7.86 | 0.47 | 3.55 | 3.09 | 0.31 | 2.93 | 2.62 | 0.15 | 5.15 | 5.00 |
34 | 38 | 0.22 | 0.45 | 0.24 | 0.47 | 0.67 | 0.20 | 0.31 | 0.52 | 0.20 | 0.15 | 0.43 | 0.28 |
35 | 15 | 0.22 | 0.49 | 0.26 | 0.39 | 0.61 | 0.21 | 0.09 | 0.33 | 0.24 | 0.15 | 0.37 | 0.21 |
35 | 17 | 0.22 | 8.12 | 7.90 | 0.39 | 3.58 | 3.18 | 0.09 | 3.01 | 2.92 | 0.15 | 5.28 | 5.13 |
35 | 38 | 0.22 | 0.45 | 0.23 | 0.39 | 0.67 | 0.27 | 0.09 | 0.52 | 0.42 | 0.15 | 0.43 | 0.28 |
36 | 15 | 0.02 | 0.49 | 0.47 | 0.02 | 0.61 | 0.59 | 0.01 | 0.33 | 0.32 | 0.02 | 0.37 | 0.34 |
36 | 16 | 0.02 | 0.42 | 0.40 | 0.02 | 0.70 | 0.68 | 0.01 | 0.51 | 0.50 | 0.02 | 0.39 | 0.36 |
36 | 38 | 0.02 | 0.46 | 0.44 | 0.02 | 0.67 | 0.65 | 0.01 | 0.52 | 0.51 | 0.02 | 0.43 | 0.40 |
37 | 19 | 0.11 | 0.33 | 0.22 | 0.38 | 0.61 | 0.23 | 0.18 | 0.38 | 0.20 | 0.14 | 0.34 | 0.20 |
38 | 18 | 0.22 | 0.42 | 0.20 | 0.43 | 0.65 | 0.22 | 0.30 | 0.50 | 0.20 | 0.21 | 0.41 | 0.20 |
Relay pairs | PSO | GA | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault 1 | Fault 2 | Fault 3 | Fault 1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 21 | 0.50 | 0.22 | 0.66 | 0.26 | 1.06 | 0.22 | 1.19 | 0.59 |
1 | 28 | 0.22 | 0.76 | 0.38 | 0.39 | 0.24 | 0.36 | 0.36 | 0.41 |
1 | 29 | 0.22 | 0.28 | 0.39 | 0.29 | 0.27 | 0.34 | 0.40 | 0.30 |
2 | 20 | 0.91 | 0.44 | 0.93 | 0.21 | 0.83 | 0.43 | 0.86 | 0.21 |
2 | 28 | 0.36 | 0.90 | 0.38 | 0.84 | 0.33 | 0.46 | 0.36 | 0.88 |
2 | 29 | 0.37 | 0.43 | 0.39 | 0.59 | 0.37 | 0.44 | 0.40 | 0.55 |
3 | 1 | 0.21 | 0.51 | 0.41 | 0.24 | 0.22 | 0.39 | 0.47 | 0.29 |
4 | 2 | 0.34 | 0.50 | 0.42 | 0.61 | 0.30 | 0.28 | 0.42 | 0.55 |
4 | 3 | 0.21 | 0.67 | 0.29 | 0.41 | 0.21 | 0.46 | 0.34 | 0.36 |
5 | 4 | 0.25 | 0.50 | 0.32 | 0.63 | 0.22 | 0.37 | 0.33 | 0.45 |
5 | 37 | 0.30 | 0.47 | 0.36 | 0.90 | 0.22 | 0.55 | 0.34 | 0.41 |
6 | 5 | 0.21 | 0.71 | 0.37 | 0.32 | 0.26 | 0.37 | 0.39 | 0.32 |
7 | 6 | 0.21 | 0.48 | 0.25 | 0.27 | 0.21 | 0.51 | 0.25 | 0.42 |
8 | 6 | 0.24 | 0.51 | 0.25 | 0.34 | 0.24 | 0.54 | 0.25 | 0.45 |
9 | 20 | 0.77 | 0.31 | 0.92 | 1.98 | 0.70 | 0.32 | 0.85 | 1.87 |
9 | 21 | 0.50 | 0.23 | 0.66 | 1.43 | 1.03 | 0.20 | 1.17 | 5.15 |
9 | 29 | 0.24 | 0.30 | 0.39 | 0.45 | 0.26 | 0.33 | 0.40 | 0.44 |
10 | 20 | 0.83 | 0.37 | 0.92 | 14.21 | 0.71 | 0.32 | 0.85 | 99 |
10 | 21 | 0.57 | 0.29 | 0.66 | 99 | 1.03 | 0.20 | 1.18 | 99 |
10 | 28 | 0.29 | 0.83 | 0.39 | 99 | 0.22 | 0.34 | 0.36 | 99 |
11 | 10 | 0.20 | 0.26 | 0.46 | 0.24 | 0.22 | 0.41 | 0.51 | 0.24 |
12 | 9 | 0.20 | 0.72 | 0.29 | 0.32 | 0.21 | 0.36 | 0.30 | 0.38 |
13 | 11 | 0.20 | 0.37 | 0.39 | 0.36 | 0.22 | 0.39 | 0.44 | 0.41 |
14 | 12 | 0.21 | 0.46 | 0.33 | 0.35 | 0.23 | 0.36 | 0.32 | 0.36 |
15 | 13 | 0.20 | 0.36 | 0.34 | 0.34 | 0.26 | 0.42 | 0.39 | 0.40 |
16 | 14 | 0.23 | 0.35 | 0.32 | 0.30 | 0.23 | 0.36 | 0.30 | 0.33 |
16 | 36 | 1.27 | 0.51 | 1.35 | 99 | 1.35 | 0.23 | 1.42 | 99 |
17 | 14 | 0.31 | 0.43 | 0.32 | 0.58 | 0.27 | 0.41 | 0.30 | 0.57 |
17 | 35 | 0.35 | 0.44 | 0.36 | 2.34 | 0.28 | 0.40 | 0.31 | 1.41 |
18 | 4 | 0.23 | 0.48 | 0.32 | 0.53 | 0.25 | 0.40 | 0.33 | 0.44 |
18 | 24 | 0.29 | 0.47 | 0.38 | 0.51 | 0.26 | 0.42 | 0.34 | 0.48 |
19 | 15 | 0.20 | 0.34 | 0.28 | 0.28 | 0.22 | 0.37 | 0.31 | 0.32 |
19 | 16 | 0.36 | 0.45 | 0.45 | 0.77 | 0.26 | 0.33 | 0.36 | 0.53 |
19 | 17 | 2.20 | 0.59 | 2.28 | 6.80 | 2.75 | 0.56 | 2.85 | 11.38 |
20 | 22 | 0.20 | 0.38 | 0.25 | 0.38 | 0.21 | 0.38 | 0.28 | 0.43 |
21 | 3 | 0.27 | 0.72 | 0.29 | 3.55 | 0.35 | 0.59 | 0.34 | 1.76 |
21 | 23 | 0.36 | 0.49 | 0.39 | 0.53 | 0.41 | 0.51 | 0.41 | 0.64 |
22 | 2 | 0.24 | 0.41 | 0.42 | 0.37 | 0.23 | 0.21 | 0.42 | 0.33 |
22 | 23 | 0.22 | 0.34 | 0.39 | 0.22 | 0.21 | 0.31 | 0.41 | 0.22 |
23 | 24 | 0.23 | 0.40 | 0.38 | 0.28 | 0.21 | 0.37 | 0.34 | 0.26 |
23 | 37 | 0.21 | 0.39 | 0.36 | 0.48 | 0.21 | 0.53 | 0.33 | 0.29 |
24 | 25 | 0.22 | 0.21 | 0.43 | 0.28 | 0.22 | 0.22 | 0.40 | 0.33 |
26 | 8 | 0.26 | 0.28 | 0.29 | 0.50 | 0.26 | 0.31 | 0.25 | 2.01 |
27 | 7 | 0.27 | 0.45 | 0.26 | 0.58 | 0.26 | 0.45 | 0.25 | 0.53 |
28 | 31 | 0.26 | 0.34 | 0.45 | 0.37 | 0.22 | 0.31 | 0.39 | 0.36 |
29 | 30 | 0.20 | 0.39 | 0.30 | 0.23 | 0.21 | 0.39 | 0.34 | 0.35 |
30 | 32 | 0.21 | 0.46 | 0.46 | 0.34 | 0.23 | 0.38 | 0.47 | 0.32 |
31 | 33 | 0.21 | 0.32 | 0.35 | 0.33 | 0.22 | 0.33 | 0.32 | 0.36 |
32 | 34 | 0.21 | 0.30 | 0.43 | 0.30 | 0.21 | 0.39 | 0.46 | 0.30 |
33 | 35 | 0.26 | 0.36 | 0.35 | 0.55 | 0.22 | 0.34 | 0.31 | 0.41 |
33 | 36 | 1.24 | 0.50 | 1.34 | 99.78 | 1.34 | 0.22 | 1.42 | 8.27 |
34 | 16 | 0.34 | 0.43 | 0.45 | 0.88 | 0.24 | 0.31 | 0.36 | 0.59 |
34 | 17 | 2.17 | 0.56 | 2.28 | 10.02 | 2.73 | 0.54 | 2.85 | 22.50 |
34 | 38 | 0.20 | 0.34 | 0.31 | 0.30 | 0.25 | 0.37 | 0.37 | 0.41 |
35 | 15 | 0.20 | 0.34 | 0.28 | 0.22 | 0.23 | 0.39 | 0.31 | 0.28 |
35 | 17 | 2.21 | 0.59 | 2.29 | 99 | 2.78 | 0.58 | 2.86 | 99 |
35 | 38 | 0.23 | 0.36 | 0.31 | 0.25 | 0.29 | 0.41 | 0.37 | 0.36 |
36 | 15 | 0.30 | 0.44 | 0.28 | 0.50 | 0.32 | 0.47 | 0.31 | 0.54 |
36 | 16 | 0.46 | 0.55 | 0.45 | 7.45 | 0.36 | 0.43 | 0.36 | 4.67 |
36 | 38 | 0.33 | 0.46 | 0.31 | 0.55 | 0.37 | 0.50 | 0.37 | 0.66 |
37 | 19 | 0.21 | 0.51 | 0.30 | 0.60 | 0.23 | 0.34 | 0.35 | 0.73 |
38 | 18 | 0.23 | 0.47 | 0.36 | 0.55 | 0.22 | 0.56 | 0.37 | 0.55 |
Relay pairs | WCA | GWO | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault 1 | Fault 2 | Fault 3 | Fault 1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 21 | 0.49 | 0.73 | 0.65 | 0.22 | 2.43 | 0.52 | 2.55 | 1.57 |
1 | 28 | 0.40 | 0.46 | 0.56 | 0.74 | 0.41 | 0.53 | 0.54 | 0.73 |
1 | 29 | 0.20 | 0.28 | 0.35 | 0.24 | 0.31 | 0.45 | 0.43 | 0.38 |
2 | 20 | 0.80 | 0.40 | 0.81 | 0.20 | 0.78 | 0.47 | 0.85 | 0.20 |
2 | 28 | 0.54 | 0.60 | 0.56 | 1.34 | 0.47 | 0.58 | 0.54 | 1.51 |
2 | 29 | 0.34 | 0.42 | 0.36 | 0.52 | 0.36 | 0.50 | 0.43 | 0.62 |
3 | 1 | 0.20 | 0.32 | 0.41 | 0.24 | 0.23 | 0.42 | 0.46 | 0.28 |
4 | 2 | 0.28 | 0.79 | 0.37 | 0.53 | 0.35 | 0.70 | 0.45 | 0.59 |
4 | 3 | 0.20 | 0.79 | 0.29 | 0.36 | 0.25 | 0.62 | 0.36 | 0.53 |
5 | 4 | 0.20 | 0.58 | 0.34 | 0.63 | 0.23 | 0.56 | 0.33 | 0.47 |
5 | 37 | 0.20 | 0.29 | 0.35 | 0.58 | 0.28 | 0.66 | 0.38 | 0.34 |
6 | 5 | 0.20 | 0.73 | 0.36 | 0.25 | 0.29 | 0.41 | 0.48 | 0.44 |
7 | 6 | 0.20 | 0.56 | 0.30 | 0.30 | 0.24 | 0.77 | 0.28 | 0.33 |
8 | 6 | 0.27 | 0.64 | 0.30 | 0.52 | 0.25 | 0.77 | 0.28 | 0.35 |
9 | 20 | 0.67 | 0.28 | 0.80 | 1.63 | 0.64 | 0.34 | 0.84 | 1.50 |
9 | 21 | 0.51 | 0.75 | 0.64 | 1.78 | 2.32 | 0.45 | 2.52 | 12.06 |
9 | 29 | 0.22 | 0.30 | 0.36 | 0.39 | 0.24 | 0.37 | 0.43 | 0.46 |
10 | 20 | 0.71 | 0.32 | 0.80 | 9.03 | 0.68 | 0.37 | 0.84 | 33.17 |
10 | 21 | 0.55 | 0.79 | 0.64 | 99 | 2.36 | 0.48 | 2.53 | 99 |
10 | 28 | 0.46 | 0.52 | 0.56 | 10.30 | 0.38 | 0.49 | 0.54 | 99 |
11 | 10 | 0.20 | 0.68 | 0.41 | 0.23 | 0.31 | 0.50 | 0.60 | 0.38 |
12 | 9 | 0.20 | 0.36 | 0.28 | 0.37 | 0.21 | 0.36 | 0.44 | 0.56 |
13 | 11 | 0.20 | 0.36 | 0.33 | 0.43 | 0.21 | 0.43 | 0.37 | 0.28 |
14 | 12 | 0.20 | 0.32 | 0.30 | 0.31 | 0.21 | 0.38 | 0.36 | 0.21 |
15 | 13 | 0.21 | 0.81 | 0.28 | 0.33 | 0.20 | 0.57 | 0.35 | 0.34 |
16 | 14 | 0.20 | 0.28 | 0.36 | 0.52 | 0.22 | 0.53 | 0.37 | 0.28 |
16 | 36 | 0.76 | 0.71 | 0.92 | 99.72 | 0.45 | 0.33 | 0.60 | 99 |
17 | 14 | 0.35 | 0.43 | 0.36 | 1.36 | 0.37 | 0.68 | 0.37 | 0.70 |
17 | 35 | 0.43 | 0.87 | 0.45 | 99 | 0.35 | 0.70 | 0.34 | 1.20 |
18 | 4 | 0.25 | 0.64 | 0.34 | 0.58 | 0.23 | 0.57 | 0.33 | 0.41 |
18 | 24 | 0.26 | 0.46 | 0.35 | 0.29 | 0.29 | 0.48 | 0.39 | 0.37 |
19 | 15 | 0.21 | 0.31 | 0.29 | 0.57 | 0.20 | 0.34 | 0.42 | 0.46 |
19 | 16 | 0.38 | 0.45 | 0.45 | 0.57 | 0.30 | 0.46 | 0.53 | 0.70 |
19 | 17 | 8.22 | 0.38 | 8.30 | 99.83 | 0.27 | 0.30 | 0.49 | 1.69 |
20 | 22 | 0.20 | 0.84 | 0.24 | 0.69 | 0.20 | 0.39 | 0.31 | 0.33 |
21 | 3 | 0.30 | 0.89 | 0.29 | 4.58 | 0.35 | 0.71 | 0.36 | 2.59 |
21 | 23 | 0.38 | 0.89 | 0.38 | 0.60 | 0.43 | 0.61 | 0.44 | 0.57 |
22 | 2 | 0.23 | 0.74 | 0.37 | 0.33 | 0.22 | 0.58 | 0.45 | 0.32 |
22 | 23 | 0.23 | 0.74 | 0.37 | 0.23 | 0.20 | 0.38 | 0.44 | 0.20 |
23 | 24 | 0.23 | 0.43 | 0.35 | 0.20 | 0.22 | 0.41 | 0.39 | 0.22 |
23 | 37 | 0.23 | 0.32 | 0.35 | 0.40 | 0.21 | 0.59 | 0.38 | 0.24 |
24 | 25 | 0.56 | 0.61 | 0.83 | 99 | 2.30 | 0.51 | 2.56 | 2.86 |
26 | 8 | 0.52 | 0.90 | 0.51 | 2.04 | 0.29 | 0.32 | 0.43 | 1.90 |
27 | 7 | 0.62 | 0.88 | 0.63 | 1.56 | 0.23 | 0.41 | 0.24 | 0.44 |
28 | 31 | 0.24 | 0.64 | 0.49 | 0.33 | 0.21 | 0.53 | 0.50 | 0.29 |
29 | 30 | 0.20 | 0.37 | 0.31 | 0.35 | 0.20 | 0.43 | 0.31 | 0.31 |
30 | 32 | 0.20 | 0.67 | 0.41 | 0.35 | 0.24 | 0.47 | 0.46 | 0.35 |
31 | 33 | 0.20 | 0.73 | 0.36 | 0.30 | 0.22 | 0.50 | 0.41 | 0.38 |
32 | 34 | 0.23 | 0.39 | 0.41 | 0.20 | 0.32 | 0.40 | 0.55 | 0.52 |
33 | 35 | 0.27 | 0.71 | 0.44 | 1.07 | 0.22 | 0.58 | 0.34 | 0.34 |
33 | 36 | 0.75 | 0.71 | 0.92 | 2.20 | 0.47 | 0.36 | 0.59 | 99 |
34 | 16 | 0.20 | 0.27 | 0.45 | 0.48 | 0.41 | 0.57 | 0.53 | 0.91 |
34 | 17 | 8.06 | 0.20 | 8.31 | 99 | 0.38 | 0.41 | 0.49 | 3.77 |
34 | 38 | 0.20 | 0.63 | 0.46 | 0.53 | 0.22 | 0.44 | 0.33 | 0.23 |
35 | 15 | 0.20 | 0.30 | 0.29 | 0.33 | 0.30 | 0.43 | 0.42 | 0.42 |
35 | 17 | 8.28 | 0.37 | 8.37 | 99 | 0.37 | 0.40 | 0.50 | 99 |
35 | 38 | 0.37 | 0.80 | 0.45 | 0.46 | 0.20 | 0.43 | 0.33 | 0.21 |
36 | 15 | 0.30 | 0.39 | 0.29 | 0.88 | 0.44 | 0.57 | 0.42 | 0.86 |
36 | 16 | 0.46 | 0.53 | 0.45 | 2.26 | 0.54 | 0.70 | 0.53 | 17.13 |
36 | 38 | 0.46 | 0.89 | 0.46 | 0.87 | 0.35 | 0.57 | 0.33 | 0.51 |
37 | 19 | 0.20 | 0.32 | 0.29 | 0.62 | 0.20 | 0.37 | 0.40 | 0.44 |
38 | 18 | 0.20 | 0.29 | 0.36 | 0.43 | 0.36 | 0.47 | 0.53 | 1.15 |
Primary (DOCR) | Backup Zone-2 | PSO | GA | WCA | GWO |
---|---|---|---|---|---|
Fault 4 | Fault 4 | Fault 4 | Fault 4 | ||
CTI 2 | CTI 2 | CTI 2 | CTI 2 | ||
1 | 1 | 0.39 | 0.31 | 0.22 | 0.33 |
2 | 2 | 0.41 | 0.22 | 0.74 | 0.58 |
3 | 3 | 0.49 | 0.28 | 0.62 | 0.41 |
4 | 4 | 0.34 | 0.22 | 0.48 | 0.41 |
5 | 5 | 0.62 | 0.21 | 0.61 | 0.26 |
6 | 6 | 0.30 | 0.34 | 0.41 | 0.56 |
7 | 7 | 0.22 | 0.23 | 0.37 | 0.21 |
8 | 8 | 0.23 | 0.23 | 0.74 | 0.33 |
9 | 9 | 0.57 | 0.20 | 0.21 | 0.23 |
10 | 10 | 0.20 | 0.33 | 0.60 | 0.35 |
11 | 11 | 0.20 | 0.21 | 0.20 | 0.25 |
12 | 12 | 0.34 | 0.22 | 0.20 | 0.21 |
13 | 13 | 0.21 | 0.22 | 0.66 | 0.44 |
14 | 14 | 0.20 | 0.22 | 0.21 | 0.40 |
15 | 15 | 0.20 | 0.23 | 0.20 | 0.26 |
16 | 16 | 0.28 | 0.21 | 0.20 | 0.33 |
17 | 17 | 0.60 | 0.56 | 0.35 | 0.51 |
18 | 18 | 0.35 | 0.46 | 0.20 | 0.31 |
19 | 19 | 0.39 | 0.21 | 0.20 | 0.23 |
20 | 20 | 0.23 | 0.21 | 0.20 | 0.23 |
21 | 21 | 0.29 | 0.28 | 0.86 | 0.49 |
22 | 22 | 0.20 | 0.21 | 0.68 | 0.21 |
23 | 23 | 0.23 | 0.22 | 0.62 | 0.29 |
24 | 24 | 0.23 | 0.21 | 0.22 | 0.23 |
26 | 26 | 0.87 | 0.23 | 0.22 | 4.21 |
27 | 27 | 0.21 | 0.21 | 0.23 | 0.22 |
28 | 28 | 0.63 | 0.22 | 0.20 | 0.23 |
29 | 29 | 0.21 | 0.21 | 0.20 | 0.31 |
30 | 30 | 0.21 | 0.21 | 0.20 | 0.26 |
31 | 31 | 0.23 | 0.23 | 0.55 | 0.45 |
32 | 32 | 0.34 | 0.23 | 0.57 | 0.32 |
33 | 33 | 0.21 | 0.21 | 0.60 | 0.40 |
34 | 34 | 0.22 | 0.32 | 0.20 | 0.27 |
35 | 35 | 0.23 | 0.22 | 0.63 | 0.45 |
36 | 36 | 0.60 | 0.27 | 0.86 | 0.49 |
37 | 37 | 0.30 | 0.41 | 0.20 | 0.44 |
38 | 38 | 0.20 | 0.21 | 0.55 | 0.28 |
Relay pairs | EO | AVOA | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault 1 | Fault 2 | Fault 3 | Fault 1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 21 | 0.71 | 0.20 | 1.08 | 0.26 | 1.01 | 0.36 | 1.45 | 0.57 |
1 | 28 | 0.21 | 0.31 | 0.58 | 0.48 | 0.22 | 0.34 | 0.66 | 0.37 |
1 | 29 | 0.21 | 0.23 | 0.58 | 0.39 | 0.24 | 0.32 | 0.68 | 0.34 |
2 | 20 | 0.76 | 0.55 | 0.77 | 0.21 | 0.89 | 0.63 | 1.09 | 0.22 |
2 | 28 | 0.57 | 0.67 | 0.58 | 1.13 | 0.46 | 0.58 | 0.66 | 0.81 |
2 | 29 | 0.57 | 0.59 | 0.58 | 0.90 | 0.48 | 0.56 | 0.68 | 0.72 |
3 | 1 | 0.21 | 0.37 | 0.48 | 0.21 | 0.20 | 0.39 | 0.66 | 0.21 |
4 | 2 | 0.34 | 1.38 | 0.42 | 0.64 | 0.21 | 0.50 | 0.55 | 0.28 |
4 | 3 | 0.25 | 0.59 | 0.33 | 0.27 | 0.20 | 0.37 | 0.53 | 0.26 |
5 | 4 | 0.26 | 0.39 | 0.32 | 0.64 | 0.23 | 0.48 | 0.59 | 0.46 |
5 | 37 | 0.27 | 0.43 | 0.33 | 0.53 | 0.22 | 0.40 | 0.58 | 0.30 |
6 | 5 | 0.22 | 0.29 | 0.39 | 0.39 | 0.30 | 0.40 | 0.71 | 0.37 |
7 | 6 | 0.21 | 0.44 | 0.25 | 0.29 | 0.35 | 0.64 | 0.52 | 0.45 |
8 | 6 | 0.25 | 0.48 | 0.25 | 0.36 | 0.29 | 0.58 | 0.52 | 0.35 |
9 | 20 | 0.42 | 0.22 | 0.76 | 2.12 | 0.61 | 0.36 | 1.08 | 1.67 |
9 | 21 | 0.72 | 0.23 | 1.06 | 99.58 | 0.96 | 0.33 | 1.44 | 6.64 |
9 | 29 | 0.24 | 0.26 | 0.58 | 0.57 | 0.20 | 0.28 | 0.68 | 0.44 |
10 | 20 | 0.54 | 0.33 | 0.76 | 99 | 0.66 | 0.41 | 1.08 | 99 |
10 | 21 | 0.84 | 0.35 | 1.06 | 99 | 1.02 | 0.38 | 1.44 | 99 |
10 | 28 | 0.36 | 0.46 | 0.58 | 10.16 | 0.24 | 0.36 | 0.66 | 4.81 |
11 | 10 | 0.30 | 0.42 | 0.55 | 0.32 | 0.20 | 0.30 | 0.76 | 0.22 |
12 | 9 | 0.24 | 0.78 | 0.46 | 0.31 | 0.21 | 0.36 | 0.68 | 0.39 |
13 | 11 | 0.21 | 0.39 | 0.35 | 0.31 | 0.21 | 0.38 | 0.64 | 0.28 |
14 | 12 | 0.24 | 0.55 | 0.35 | 0.24 | 0.21 | 0.36 | 0.67 | 0.23 |
15 | 13 | 0.20 | 0.35 | 0.30 | 0.30 | 0.20 | 0.50 | 0.57 | 0.25 |
16 | 14 | 0.21 | 1.04 | 0.35 | 0.35 | 0.30 | 0.44 | 0.70 | 0.36 |
16 | 36 | 2.33 | 1.28 | 2.47 | 99.75 | 0.28 | 0.28 | 0.68 | 99.47 |
17 | 14 | 0.33 | 1.17 | 0.35 | 0.70 | 0.54 | 0.68 | 0.71 | 0.75 |
17 | 35 | 0.32 | 1.21 | 0.33 | 0.64 | 0.47 | 0.60 | 0.64 | 1.19 |
18 | 4 | 0.21 | 0.34 | 0.32 | 0.51 | 0.23 | 0.49 | 0.59 | 0.44 |
18 | 24 | 0.29 | 0.41 | 0.40 | 0.86 | 0.22 | 0.46 | 0.58 | 0.42 |
19 | 15 | 0.32 | 0.36 | 0.47 | 1.64 | 0.21 | 0.32 | 0.59 | 0.30 |
19 | 16 | 0.25 | 0.57 | 0.40 | 0.43 | 0.30 | 0.39 | 0.68 | 0.42 |
19 | 17 | 7.90 | 0.44 | 8.05 | 43.90 | 3.15 | 0.40 | 3.53 | 99.50 |
20 | 22 | 0.21 | 0.38 | 0.29 | 0.53 | 0.21 | 0.63 | 0.41 | 0.26 |
21 | 3 | 0.32 | 0.67 | 0.33 | 0.76 | 0.43 | 0.60 | 0.53 | 1.13 |
21 | 23 | 0.42 | 0.48 | 0.42 | 1.14 | 0.44 | 0.67 | 0.55 | 0.55 |
22 | 2 | 0.21 | 1.26 | 0.42 | 0.34 | 0.20 | 0.48 | 0.55 | 0.26 |
22 | 23 | 0.22 | 0.28 | 0.42 | 0.25 | 0.20 | 0.42 | 0.55 | 0.20 |
23 | 24 | 0.27 | 0.39 | 0.40 | 0.45 | 0.28 | 0.51 | 0.58 | 0.33 |
23 | 37 | 0.21 | 0.37 | 0.33 | 0.34 | 0.28 | 0.46 | 0.58 | 0.33 |
24 | 25 | 0.20 | 0.24 | 0.37 | 0.26 | 0.60 | 0.42 | 1.01 | 0.80 |
26 | 8 | 0.25 | 0.27 | 0.24 | 1.06 | 0.25 | 0.23 | 0.81 | 0.37 |
27 | 7 | 0.24 | 0.42 | 0.22 | 0.47 | 0.21 | 0.66 | 0.39 | 0.32 |
28 | 31 | 0.24 | 0.84 | 0.56 | 0.37 | 0.21 | 0.40 | 0.66 | 0.26 |
29 | 30 | 0.21 | 1.27 | 0.37 | 0.45 | 0.22 | 0.40 | 0.56 | 0.26 |
30 | 32 | 0.20 | 0.43 | 0.45 | 0.26 | 0.20 | 0.36 | 0.68 | 0.26 |
31 | 33 | 0.21 | 0.31 | 0.39 | 0.33 | 0.22 | 0.42 | 0.61 | 0.25 |
32 | 34 | 0.23 | 0.36 | 0.48 | 0.28 | 0.20 | 0.33 | 0.71 | 0.22 |
33 | 35 | 0.22 | 1.12 | 0.33 | 0.22 | 0.25 | 0.38 | 0.64 | 0.38 |
33 | 36 | 2.35 | 1.31 | 2.46 | 6.36 | 0.29 | 0.29 | 0.68 | 1.44 |
34 | 16 | 0.20 | 0.52 | 0.40 | 0.39 | 0.23 | 0.32 | 0.68 | 0.38 |
34 | 17 | 7.86 | 0.39 | 8.05 | 99 | 3.09 | 0.33 | 3.53 | 99 |
34 | 38 | 0.24 | 0.36 | 0.43 | 0.39 | 0.20 | 0.38 | 0.65 | 0.33 |
35 | 15 | 0.26 | 0.30 | 0.47 | 0.79 | 0.21 | 0.33 | 0.59 | 0.23 |
35 | 17 | 7.90 | 0.38 | 8.10 | 99.73 | 3.18 | 0.40 | 3.56 | 99.50 |
35 | 38 | 0.23 | 0.35 | 0.43 | 0.32 | 0.27 | 0.45 | 0.65 | 0.29 |
36 | 15 | 0.47 | 0.50 | 0.47 | 2.81 | 0.59 | 0.71 | 0.59 | 0.80 |
36 | 16 | 0.40 | 0.72 | 0.40 | 2.00 | 0.68 | 0.77 | 0.68 | 1.88 |
36 | 38 | 0.44 | 0.56 | 0.44 | 0.68 | 0.65 | 0.83 | 0.65 | 0.90 |
37 | 19 | 0.22 | 0.37 | 0.31 | 0.64 | 0.23 | 0.39 | 0.59 | 0.44 |
38 | 18 | 0.20 | 1.21 | 0.40 | 0.47 | 0.22 | 0.39 | 0.63 | 0.35 |
Relay pairs | FDA | GTO | |||||||
---|---|---|---|---|---|---|---|---|---|
Fault 1 | Fault 2 | Fault 3 | Fault 1 | Fault 2 | Fault 3 | ||||
CTI1 | CTI2 | CTI3 | CTI1 | CTI1 | CTI2 | CTI3 | CTI1 | ||
1 | 21 | 0.70 | 0.30 | 0.81 | 0.21 | 15.21 | 0.58 | 15.42 | 5.57 |
1 | 28 | 0.53 | 0.60 | 0.63 | 0.87 | 0.20 | 0.59 | 0.41 | 0.45 |
1 | 29 | 0.30 | 0.35 | 0.40 | 0.37 | 0.20 | 0.60 | 0.41 | 0.29 |
2 | 20 | 0.96 | 0.38 | 1.06 | 0.20 | 1.31 | 0.78 | 1.35 | 0.23 |
2 | 28 | 0.54 | 0.61 | 0.63 | 1.36 | 0.37 | 0.76 | 0.41 | 1.00 |
2 | 29 | 0.31 | 0.36 | 0.40 | 0.55 | 0.37 | 0.76 | 0.41 | 0.61 |
3 | 1 | 0.20 | 0.28 | 0.38 | 0.24 | 0.20 | 0.57 | 0.45 | 0.23 |
4 | 2 | 0.27 | 0.31 | 0.36 | 0.58 | 0.34 | 0.29 | 0.47 | 0.59 |
4 | 3 | 0.20 | 0.36 | 0.29 | 0.47 | 0.20 | 0.68 | 0.33 | 0.30 |
5 | 4 | 0.24 | 0.68 | 0.31 | 0.61 | 0.21 | 0.71 | 0.33 | 0.36 |
5 | 37 | 0.26 | 0.77 | 0.34 | 0.65 | 0.23 | 0.65 | 0.35 | 0.39 |
6 | 5 | 0.21 | 0.68 | 0.32 | 0.30 | 0.37 | 0.62 | 0.56 | 0.50 |
7 | 6 | 0.20 | 0.36 | 0.24 | 0.62 | 0.28 | 0.80 | 0.32 | 0.53 |
8 | 6 | 0.21 | 0.37 | 0.23 | 0.54 | 0.20 | 0.73 | 0.32 | 0.28 |
9 | 20 | 0.84 | 0.27 | 1.04 | 2.25 | 1.12 | 0.62 | 1.33 | 5.41 |
9 | 21 | 0.58 | 0.20 | 0.78 | 99.75 | 14.45 | 0.58 | 14.66 | 99.71 |
9 | 29 | 0.20 | 0.25 | 0.40 | 0.45 | 0.20 | 0.59 | 0.41 | 0.46 |
10 | 20 | 0.95 | 0.38 | 1.05 | 14.84 | 1.15 | 0.65 | 1.33 | 99 |
10 | 21 | 0.69 | 0.31 | 0.79 | 99 | 14.65 | 0.61 | 14.83 | 99 |
10 | 28 | 0.54 | 0.60 | 0.63 | 10.11 | 0.23 | 0.62 | 0.41 | 99 |
11 | 10 | 0.21 | 0.32 | 0.45 | 0.26 | 0.30 | 0.48 | 0.65 | 0.36 |
12 | 9 | 0.20 | 0.38 | 0.28 | 0.21 | 0.21 | 0.69 | 0.32 | 0.27 |
13 | 11 | 0.20 | 0.42 | 0.34 | 0.31 | 0.29 | 0.45 | 0.47 | 0.43 |
14 | 12 | 0.20 | 0.72 | 0.29 | 0.31 | 0.20 | 0.34 | 0.29 | 0.27 |
15 | 13 | 0.20 | 0.73 | 0.31 | 0.40 | 0.20 | 0.65 | 0.33 | 0.28 |
16 | 14 | 0.20 | 0.32 | 0.37 | 0.68 | 0.20 | 0.74 | 0.27 | 0.29 |
16 | 36 | 1.26 | 0.71 | 1.43 | 99 | 3.47 | 0.74 | 3.54 | 9 |
17 | 14 | 0.38 | 0.50 | 0.37 | 2.62 | 0.28 | 0.83 | 0.27 | 0.60 |
17 | 35 | 0.37 | 0.44 | 0.36 | 5.32 | 0.40 | 0.49 | 0.39 | 1.55 |
18 | 4 | 0.20 | 0.65 | 0.31 | 0.45 | 0.23 | 0.73 | 0.33 | 0.40 |
18 | 24 | 0.23 | 0.37 | 0.34 | 0.49 | 0.47 | 0.76 | 0.58 | 1.11 |
19 | 15 | 0.21 | 0.35 | 0.32 | 0.35 | 0.24 | 0.35 | 0.35 | 0.40 |
19 | 16 | 0.39 | 0.73 | 0.50 | 0.64 | 0.26 | 0.71 | 0.36 | 0.57 |
19 | 17 | 2.80 | 0.39 | 0.81 | 99 | 5.01 | 0.71 | 5.12 | 99 |
20 | 22 | 0.20 | 0.61 | 0.63 | 0.68 | 0.21 | 0.72 | 0.26 | 0.43 |
21 | 3 | 0.29 | 0.45 | 0.40 | 8.72 | 0.29 | 0.77 | 0.33 | 1.12 |
21 | 23 | 0.37 | 0.47 | 1.06 | 0.55 | 0.35 | 0.82 | 0.38 | 0.43 |
22 | 2 | 0.20 | 0.25 | 0.63 | 0.29 | 0.29 | 0.24 | 0.47 | 0.40 |
22 | 23 | 0.21 | 0.31 | 0.40 | 0.20 | 0.21 | 0.68 | 0.38 | 0.20 |
23 | 24 | 0.20 | 0.35 | 0.38 | 0.29 | 0.43 | 0.71 | 0.57 | 0.65 |
23 | 37 | 0.20 | 0.71 | 0.36 | 0.34 | 0.20 | 0.63 | 0.34 | 0.31 |
24 | 25 | 1.28 | 0.68 | 0.29 | 1.56 | 0.94 | 0.58 | 1.22 | 1.51 |
26 | 8 | 0.26 | 0.31 | 0.31 | 99.78 | 1.00 | 0.29 | 1.32 | 5.95 |
27 | 7 | 0.23 | 0.38 | 0.34 | 6.97 | 0.20 | 0.37 | 0.21 | 0.38 |
28 | 31 | 0.20 | 0.35 | 0.32 | 0.25 | 0.30 | 0.58 | 0.48 | 0.39 |
29 | 30 | 0.20 | 0.41 | 0.24 | 0.33 | 0.20 | 0.66 | 0.31 | 0.26 |
30 | 32 | 0.20 | 0.67 | 0.23 | 0.39 | 0.25 | 0.38 | 0.48 | 0.35 |
31 | 33 | 0.20 | 0.30 | 1.04 | 0.33 | 0.29 | 0.62 | 0.46 | 0.40 |
32 | 34 | 0.24 | 0.52 | 0.78 | 0.20 | 0.27 | 0.52 | 0.53 | 0.42 |
33 | 35 | 0.23 | 0.30 | 0.40 | 0.61 | 0.20 | 0.29 | 0.39 | 0.37 |
33 | 36 | 1.30 | 0.75 | 1.05 | 3.55 | 3.34 | 0.62 | 3.53 | 17.54 |
34 | 16 | 0.20 | 0.54 | 0.79 | 0.61 | 0.24 | 0.70 | 0.36 | 0.62 |
34 | 17 | 2.62 | 0.20 | 0.63 | 99 | 5.00 | 0.69 | 5.13 | 99 |
34 | 38 | 0.20 | 0.59 | 0.45 | 0.37 | 0.28 | 0.63 | 0.41 | 0.39 |
35 | 15 | 0.24 | 0.38 | 0.28 | 0.30 | 0.21 | 0.32 | 0.35 | 0.27 |
35 | 17 | 2.92 | 0.42 | 0.34 | 99 | 5.13 | 0.68 | 5.26 | 99 |
35 | 38 | 0.42 | 0.81 | 0.29 | 0.45 | 0.28 | 0.62 | 0.41 | 0.31 |
36 | 15 | 0.32 | 0.47 | 0.31 | 0.60 | 0.34 | 0.45 | 0.35 | 0.61 |
36 | 16 | 0.50 | 0.84 | 0.37 | 4.03 | 0.36 | 0.82 | 0.37 | 7.01 |
36 | 38 | 0.51 | 0.89 | 1.43 | 0.72 | 0.40 | 0.75 | 0.41 | 0.63 |
37 | 19 | 0.20 | 0.30 | 0.37 | 0.72 | 0.20 | 0.66 | 0.32 | 0.55 |
38 | 18 | 0.20 | 0.25 | 0.36 | 0.70 | 0.20 | 0.59 | 0.39 | 0.49 |
Primary (DOCR) | Backup Zone-2 | EO | AVOA | FDA | GTO |
---|---|---|---|---|---|
Fault 4 | Fault 4 | Fault 4 | Fault 4 | ||
CTI 2 | CTI 2 | CTI 2 | CTI 2 | ||
1 | 1 | 0.20 | 0.26 | 0.20 | 0.46 |
2 | 2 | 1.31 | 0.45 | 0.20 | 0.20 |
3 | 3 | 0.36 | 0.20 | 0.20 | 0.50 |
4 | 4 | 0.22 | 0.35 | 0.53 | 0.58 |
5 | 5 | 0.21 | 0.21 | 0.57 | 0.41 |
6 | 6 | 0.26 | 0.32 | 0.20 | 0.57 |
7 | 7 | 0.21 | 0.48 | 0.21 | 0.20 |
8 | 8 | 0.20 | 0.37 | 0.32 | 0.20 |
9 | 9 | 0.58 | 0.22 | 0.20 | 0.52 |
10 | 10 | 0.23 | 0.20 | 0.25 | 0.35 |
11 | 11 | 0.22 | 0.20 | 0.25 | 0.21 |
12 | 12 | 0.35 | 0.21 | 0.60 | 0.20 |
13 | 13 | 0.20 | 0.34 | 0.59 | 0.50 |
14 | 14 | 0.94 | 0.23 | 0.27 | 0.62 |
15 | 15 | 0.23 | 0.20 | 0.24 | 0.21 |
16 | 16 | 0.44 | 0.20 | 0.49 | 0.60 |
17 | 17 | 0.46 | 0.49 | 0.50 | 0.81 |
18 | 18 | 1.12 | 0.27 | 0.21 | 0.50 |
19 | 19 | 0.21 | 0.23 | 0.20 | 0.54 |
20 | 20 | 0.32 | 0.38 | 0.21 | 0.55 |
21 | 21 | 0.51 | 0.56 | 0.39 | 0.51 |
22 | 22 | 0.20 | 0.45 | 0.45 | 0.54 |
23 | 23 | 0.22 | 0.32 | 0.20 | 0.57 |
24 | 24 | 0.20 | 0.29 | 0.21 | 0.39 |
26 | 26 | 0.65 | 8.00 | 3.17 | 30.81 |
27 | 27 | 0.21 | 0.39 | 0.24 | 0.79 |
28 | 28 | 0.22 | 0.21 | 0.22 | 0.50 |
29 | 29 | 0.23 | 0.25 | 0.20 | 0.55 |
30 | 30 | 1.11 | 0.20 | 0.24 | 0.48 |
31 | 31 | 0.78 | 0.30 | 0.28 | 0.42 |
32 | 32 | 0.30 | 0.22 | 0.58 | 0.21 |
33 | 33 | 0.21 | 0.28 | 0.20 | 0.42 |
34 | 34 | 0.23 | 0.21 | 0.31 | 0.42 |
35 | 35 | 0.95 | 0.23 | 0.21 | 0.20 |
36 | 36 | 1.36 | 0.66 | 0.84 | 0.73 |
37 | 37 | 0.26 | 0.26 | 0.58 | 0.51 |
38 | 38 | 0.21 | 0.26 | 0.46 | 0.43 |
Methods | The objective function (s) |
---|---|
PSO | 26.50 |
GA | 24.32 |
WCA | 30.40 |
GWO | 32.01 |
EO | 32.84 |
AVOA | 45.92 |
FDA | 28.74 |
GTO | 35.77 |
ACO | 141.15 |
ACO-LP | 113.2 |