Table 1 Compact evaluation of recent MOAs for estimating PEMFC parameters.

From: Hybrid parameter estimation and sensitivity analysis of PEM fuel cells using Rüppell’s fox optimizer and Sobol metrics

Ref

Year

OF

MOA

Test cases

Remarks

40

2025

SSE

Adolescent Identity Search Optimizer

Horizon 500 W

BCS500W

Nedstack PS6

Wilcoxon signed-rank test

Friedman test

24

2025

SSE

Pied Kingfisher Optimizer

250 W

H-12

SR-12 500 W

Nedstack PS6

SD

RE

MAE

RMSE

41

2025

SSE

Adaptive Guided DE (AGDE)

Nedstack PS6

BCS500W

SR-12 500 W

Ballard Mark V

Improved AGDE:

Roulette wheel selection & Levy flight

42

2025

RMSE

DE with dynamic crossover

Nedstack PS6

BCS500W

Parametric tests

Wilcoxon signed-rank test

Friedman test

38

2025

Huber loss

Educational competition optimizer

Nedstack PS6

BCS500W

Horizon 500 W

Sensitivity analysis

43

2025

SSE

Parrot optimizer (PO)

Nedstack PS6

BCS500W

Ballard Mark V

Improved PO:

Opposition based learning & Local escaping operator

23

2025

SSE

Circulatory system-based optimizer

Standard 250 W

BCS500W

H-12

SR-12 500 W

SD

RE

MAE

RMSE

44

2025

SSE

MAE

MAPE

Multi-strategy alpha evolution algorithm

Standard 250 W

Nedstack PS6

BCS500W

Ballard Mark V

TEMASEK PEM

Improvements:

Halton sequence

Fitness-distance balance

45

2025

SSE

Artificial gorilla troops and honey badger optimizers

BCS500W

SR-12 500 W

Horizon H-12

Ballard Mark V

Boxplot analysis

RE

46

2025

SSE

Perturbation Covariance Matrix DE

BCS500W

Nedstack PS6

SR-12 500 W

Horizon H-12

Boxplot analysis

RE

AE