Table 12 Parameter estimation and statistical measures comparison of various MH algorithms for Ballard Mark V PEMFC.

From: Efficient estimation of proton exchange membrane fuel cells parameters using a hybrid swarm intelligent algorithm

S.no

Algorithms

Objective

function

\(\xi _{a}\)

\(\xi _{b}\)

\(\xi _{c}\)

\(\xi _{d}\)

\(R_{con}\left( \Omega \right)\)

\(\beta\)

\(\lambda\)

1

GPC

0.813912

– 1.01123

0.003341

5.85E–05

– 0.00017

0.0001

0.015885

24.000

2

ZOA

0.823312

– 0.86073

0.002658

4.12E–05

– 0.00017

0.000128

0.015728

23.99993

3

SCHO

0.819595

– 1.19969

0.003604

3.81E–05

– 0.00017

0.0001

0.015343

23.9519

4

PSA

0.836537

– 1.19969

0.004007

6.56E–05

– 0.00017

0.0001

0.0136

24.000

5

SABO

0.953818

– 1.17202

0.003601

4.69E–05

– 0.00015

0.000272

0.017743

24.000

6

YDSE

0.813939

– 1.00656

0.00367

8.29E–05

– 0.00017

0.0001

0.015812

24.000

7

EDO

0.81439

– 1.05739

0.00391

8.93E–05

– 0.00017

0.0001

0.015828

24

8

RIME

0.813979

– 1.19227

0.003697

4.62E–05

– 0.00017

0.0001

0.015978

24.000

9

CDO

1.781255

– 0.8532

0.002408

0.000036

– 9.5E–05

0.0008

0.0136

22.96162

10

COA

0.838759

– 1.19785

0.003592

3.6E–05

– 0.00017

0.000101

0.0138

23.94841

11

HHO

0.909931

– 1.19965

0.003674

4.47E–05

– 0.00015

0.000351

0.013687

23.99544

12

GWO

0.814886

– 1.18875

0.003572

3.81E–05

– 0.00017

0.000102

0.016036

24.000

13

NNO89

0.85361

– 0.97997

0.003694

9.08710E–05

– 1.62820E–04

0.0001

0.0136

23.000

14

STSA32

0.85361

– 0.8532

0.00255805

3.60438E–05

– 1.62828

0.0001

0.0136

23.000

15

ABC– DE38

0.853607

– 1.19561

0.00421

8.34036E–05

– 1.62830E–04

0.0001

0.0136

23.0000

16

LSA21

0.8140

−1.0624

3.597E–03

6.653E–05

– 16.492E–05

0.0001

0.0188

23.000

17

MRFO25

0.8533

– 1.19561

4.2188E–03

8.340E–05

– 1.6280E–04

0.0001

0.0136

23.000

18

DO34

0.8292

– 0.8532

2.869E–03

5.933E–05

– 14.75E–05

0.0001

0.0343

23.00