Table 6 Sensitivity analysis with proposed hybrid DE-PS optimized FOPID controller in parallel AC-DC link
Parameters variations | % change | Ts ( 2% band) | Peak overshoot (× 10–3) | Peak undershoot (× 10–3) | ITAE | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
∆ F1 | ∆ F2 | ∆ PTie | ∆ F1 | ∆ F2 | ∆ PTie | ∆ F1 | ∆ F2 | ∆ PTie | |||
Nominal | – | 3.72 | 4.03 | 5.79 | 0.5 | 1.1 | 1.2 | − 12.0 | − 13.3 | − 0.2 | 0.2156 |
Loading conditions |  + 25 | 3.88 | 4.05 | 5.95 | 0.4 | 1.0 | 1.2 | − 12.0 | − 13.2 | − 0.2 | 0.2800 |
− 25 | 3.63 | 4.70 | 5.00 | 0.5 | 1.1 | 1.2 | − 12.1 | − 13.3 | − 0.2 | 0.2667 | |
TG |  + 25 | 3.82 | 3.98 | 5.65 | 0.7 | 1.0 | 1.3 | − 12.1 | − 13.4 | − 0.2 | 0.2246 |
− 25 | 3.64 | 4.72 | 5.01 | 0.4 | 1.1 | 1.2 | − 11.8 | − 13.1 | − 0.2 | 0.2660 | |
TT |  + 25 | 4.52 | 4.62 | 5.03 | 1.3 | 1.2 | 1.3 | − 12.3 | − 13.5 | − 0.2 | 0.2663 |
− 25 | 3.74 | 4.00 | 5.08 | 0.4 | 1.0 | 1.2 | − 11.6 | − 13.0 | − 0.2 | 0.2146 | |
TRH |  + 25 | 3.89 | 4.96 | 5.92 | 0.3 | 0.9 | 1.2 | − 12.0 | − 13.2 | − 0.2 | 0.2756 |
− 25 | 3.06 | 4.69 | 5.31 | 0.7 | 0.7 | 1.2 | − 12.1 | − 13.3 | − 0.2 | 0.2589 | |
TCD |  + 25 | 3.89 | 5.04 | 5.72 | 0.5 | 0.9 | 1.2 | − 12.0 | − 13.3 | − 0.2 | 0.2925 |
− 25 | 3.62 | 5.11 | 5.35 | 0.5 | 0.9 | 1.3 | − 12.0 | − 13.3 | − 0.2 | 0.2797 | |
T12 |  + 25 | 4.03 | 4.64 | 4.87 | 0.4 | 0.9 | 1.3 | − 12.1 | − 13.2 | − 0.2 | 0.2560 |
− 25 | 3.85 | 4.08 | 5.22 | 0.6 | 1.1 | 1.1 | − 11.9 | − 13.4 | − 0.3 | 0.2453 | |