Table 11 Statistical measures of TARTPSN system with RESs and PHES.

From: A quasi-oppositional FBI algorithm driven fuzzy cascaded fractional-order controller for enhancing transient stability in hybrid power systems

Controllers

Statistical measures

Undershoot (Us)

Overshoot (Os)

Settling time (Ts)

ITAE

ΔF1

ΔF2

ΔPtie

ΔF1

ΔF2

ΔPtie

ΔF1

ΔF2

ΔPtie

QOFBI FFOPID(1 + FOPI)

− 0.0160

− 0.0090

− 0.0060

0.0365

0.0320

0.0050

19.8

17.1

23.5

16.120

FBI FFOPID(1 + FOPI)

− 0.0220

− 0.0168

− 0.0085

0.0326

0.0283

0.0052

25.1

17.3

23.8

18.32

FBI FPID(1 + PI)

− 0.0327

− 0.0262

− 0.0088

0.0700

0.0628

0.0058

27.3

26.1

37.7

25.67

  1. Significant values are in [bold].