Table 5 Statistical analysis of the proposed controllers.
From: Bayat-driven FOPID controller design for biogas-based microgrid with real-time validation
Controller’s | FOPID-\(Bayat_{SP1.4}\) | FOPID-\(Bayat_{SP2.0}\) | FOPID-\(Bayat_{LD1.4}\) | |
|---|---|---|---|---|
Scenario’s | Specifications | |||
Case 1 | \(T_r\) | \(4.99e-5\) | \(6.31e-4\) | \(1.79e-4\) |
\(T_p\) | 30.3985 | 40.3116 | 30.4056 | |
\(\%O_s\) | 5.136e5 | 4.9531e4 | 1.5077e5 | |
\(T_s\) | 49.8586 | 49.9534 | 49.9330 | |
Controllability | Yes | Yes | Yes | |
control effort | 0.285 | 0.25 | 0.295 | |
Case 2 | \(T_r\) | 4.0219e-5 | 2.2123e-4 | 1.2179e-4 |
\(T_p\) | 0.8353 | .7316 | 0.8327 | |
\(\%O_s\) | 1.14e7 | 5.2163e4 | 3.899e6 | |
\(T_s\) | 49.8498 | 49.9552 | 49.9315 | |
Controllability | Yes | Yes | Yes | |
control effort | 0.32 | 0.33 | 0.353 | |
Case 3 | \(T_r\) | 6.4248e-5 | 0.0087 | 2.3681e-4 |
\(T_p\) | 0.8186 | 0.7161 | 0.8153 | |
\(\%O_s\) | 5.3477e5 | 6.1249e4 | 1.5181e5 | |
\(T_s\) | 49.8615 | 49.9535 | 49.9331 | |
Controllability | Yes | Yes | Yes | |
control effort | 0.33 | 0.32 | 0.34 | |
Case 4 | \(T_r\) | 6.4248e-5 | 0.0308 | 3.3681e-4 |
\(T_p\) | 0.7186 | 0.6161 | 0.5153 | |
\(\%O_s\) | 5.4547e5 | 6.179e4 | 1.581e5 | |
\(T_s\) | 49.615 | 49.535 | 49.331 | |
Controllability | Yes | Yes | Yes | |
control effort | 0.17 | 0.12 | 0.15 | |
