Table 7 Time domain parameters for frequency variation in three areas for case study III.
Contract violation | Controller | \(\Delta {F_1}\) | \(\Delta {F_2}\) | \(\Delta {F_3}\) | ITAE | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Optimization techniques | Ush × 10−3 (Hz) | Osh × 10−3 (Hz) | Ts (sec) | Ush × 10−3 (Hz) | Osh × 10−3 (Hz) | Ts (sec) | Ush × 10−3 (Hz) | Osh × 10−3 (Hz) | Ts (sec) | ||
(COA) driven Controllers | TID + IDN | −66.6 | 11.36 | 5.799 | −11.2 | 1.41 | 6.808 | −24.3 | 63.09 | 6.13 | 0.4822 |
TID | −142.4 | 49.61 | 12.68 | 62.45 | 24.39 | 7.22 | −91.44 | 39.15 | 12.5 | 0.6132 | |
IDN | −143.7 | 43.47 | 13.81 | −63.89 | 23.41 | 12.92 | −89.51 | 32.32 | 14.5 | 0.7123 |