Table 7 Parametric variations.

From: Bayat-driven FOPID controller design for biogas-based microgrid with real-time validation

 

(%)

Ts(s)

Tp(s)

Tr(s)

IAE

ITAE

ISE

ITSE

\(\Delta f\)

\(T_{bdeg}\)

−50

9.9687

.8272

6.9789

0.02106

0.2419

0.01597

.4898

.00042

−25

9.9687

0.8213

0.0099

0.02091

0.2419

0.1698

0.4787

.0004203

+25

9.9674

.8503

0.0110

0.02285

.2419

0.02016

.4566

.0004848

+50

9.9758

.8663

.0115

.02418

.2418

.02209

.445

.0005121

\(T_{bgtg}\)

−50

9.9665

.7850

.0137

.01994

.2415

.01508

.5228

.0006433

−25

9.9681

.8140

.0122

.0206

.2416

.01684

.4946

.0005908

+25

9.9786

.8505

.0060

.02253

.2423

.01978

.4429

.0002269

+50

9.9930

.8630

9.7485e4

.02357

.2429

.02097

.4208

−2.928e-5

D

−50

9.9739

0.8353

0.0099

.02159

.2419

.01853

.4669

.0004178

−25

9.9734

0.8349

0.0099

.02155

.2419

.01847

.4673

.0004182

+25

9.9726

0.8354

0.0099

.02148

.2419

.01835

.4681

.0004191

+50

9.9723

0.8353

0.0090

.02145

.2419

.01832

.4686

.0004195

M

−50

9.9686

0.6133

0.0058

.01907

.2419

.01677

.4675

.0004262

−25

9.9693

0.7331

0.0080

.02021

.2419

.01762

.4676

.0004221

+25

9.9591

0.9237

0.0106

.02299

.2419

.01916

.4678

.0003694

+50

9.9793

1.0043

0.0154

.02461

.2419

.0189

.4680

.0005122