Table 2.
Optimal combination of control variables for all the cases (modified IEEE 30-bus system).
| Control variables | M1 | M2 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| ESDE-MC | SKH | ESDE-EC | KH | ESDE | ESDE-MC | SKH | ESDE-EC | KH | ESDE | |
| P G1 | 1.552 | 156.12 | 1.54 | 1.55 | 1.51 | 1.627 | 163.09 | 1.651 | 1.500 | 1.690 |
| P G2 | 0.436 | 42.64 | 0.43 | 43.55 | 0.46 | 0.454 | 46.26 | 0.462 | 41.72 | 0.416 |
| P G5 | 0.19 | 19.74 | 0.211 | 19.74 | 0.19 | 0.206 | 20.34 | 0.192 | 19.59 | 0.196 |
| P G8 | 0.100 | 10.00 | 0.100 | 10 | 0.10 | 0.137 | 12.99 | 0.120 | 15.281 | 0.129 |
| P G11 | 0.100 | 10.02 | 0.100 | 10 | 0.11 | 0.100 | 10.25 | 0.100 | 10.00 | 0.100 |
| P G13 | 0.120 | 12.14 | 0.120 | 12.25 | 0.12 | 0.120 | 12.11 | 0.120 | 12 | 0.1200 |
| P sch22 | 0.400 | 39.99 | 0.399 | 40 | 0.40 | 0.263 | 26.03 | 0.265 | 25.49 | 0.2630 |
| V G1 | 1.10 | 1.09 | 1.10 | 1.1 | 1.09 | 1.10 | 1.10 | 1.10 | 1.1 | 1.09 |
| V G2 | 1.08 | 1.08 | 1.08 | 1.092 | 1.08 | 1.08 | 1.08 | 1.08 | 1.082 | 1.07 |
| V G5 | 1.05 | 1.05 | 1.06 | 1.049 | 1.03 | 1.05 | 1.05 | 1.049 | 1.05 | 1.04 |
| V G8 | 1.07 | 1.06 | 1.07 | 1.072 | 1.05 | 1.07 | 1.07 | 1.05 | 1.063 | 1.05 |
| V G11 | 1.10 | 1.10 | 1.10 | 1.1 | 1.09 | 1.09 | 1.09 | 1.04 | 1.1 | 1.10 |
| V G13 | 1.10 | 1.08 | 1.10 | 1.064 | 1.08 | 1.10 | 1.07 | 1.07 | 1.1 | 1.094 |
| t 6–9 | 1.03 | 1.02 | 1.05 | 1.05 | 0.98 | 1.04 | 1.02 | 1.05 | 1.03 | 1.050 |
| t 6–10 | 0.95 | 0.90 | 0.93 | 0.93 | 1.05 | 0.94 | 0.95 | 1.00 | 0.93 | 0.93 |
| t 4–12 | 1.01 | 0.96 | 0.99 | 0.94 | 1.05 | 0.98 | 1.01 | 1.02 | 0.98 | 0.940 |
| t 28–27 | 0.96 | 0.98 | 0.94 | 0.95 | 0.97 | 0.96 | 0.975 | 0.95 | 0.93 | 0.94 |
| Q C10 | 0.120 | 18.00 | 0.06 | 0.05 | 0.24 | 0.20 | 3.00 | 0.21 | 0.25 | 0.00 |
| Q C24 | 0.150 | 8.009 | 0.03 | 0.04 | 0.13 | 0.10 | 10.00 | 0.07 | 0.24 | 0.11 |
| Total cost ($/h) | 732.55 | 732.754 | 733.12 | 733.28 | 733.78 | 786.96 | 787.2152 | 787.6704 | 787.78 | 788.27 |
| Wind cost ($/h) | 72.47 | 72.456 | 72.39 | 72.47 | 72.47 | 80.84 | 79.64206 | 81.4316 | 77.81 | 80.57 |
| Thermal cost ($/h) | 660.08 | 660.248 | 660.78 | 660.81 | 661.31 | 706.12 | 707.5731 | 706.2388 | 709.97 | 707.69 |
| APL | 0.0721 | 7.273 | 0.072 | 0.0742 | 0.073 | 0.075 | 7.6877 | 0.079701 | 0.078 | 0.081 |
| Q wG22 | − 0.205 | − 20.611 | − 0.204 | − 0.020 | − 0.204 | − 0.165 | − 15.7741 | 0.156603 | − 0.156 | − 0.1596 |
*All Powers, voltages, transformer taps, reactive powers are in p.u.
Significant values are in bold.