Table 4 Statistical outcomes of RMSE of different algorithms for all three models.

From: Performance investigation of state-of-the-art metaheuristic techniques for parameter extraction of solar cells/module

PV module

Algorithm

RMSE

Min

Mean

Max

SD

Rank-Sum

R.T.C. France solar cell

SHO

7.2951E−01

7.2951E−01

7.2951E−01

3.2600E−03

 − 

STO

8.6106E−04

9.4761E−04

2.6964E−02

1.1722E−03

 − 

AO

1.3481E−03

1.5153E−03

1.2788E−02

1.3731E−03

 − 

HHO

2.5000E−05

8.8800E−05

2.4324E−02

9.1477E−04

WHO

2.3902E−05

3.0000E−05

2.8170E−02

3.1727E−04

AOA

6.0411E−04

6.2354E−04

1.0885E−02

5.4195E−04

 − 

ASO

6.9590E−01

6.9697E−01

7.8716E−01

1.7870E−03

 − 

CBO

1.0264E−05

1.8600E−05

7.4254E−02

2.1891E−04

 + 

LSM20 PV module

SHO

4.4960E−03

6.4182E−02

1.2059E−01

4.5861E−04

 − 

STO

4.0588E−03

4.6891E−03

8.9984E−02

5.1076E−03

 − 

AO

1.3763E−02

1.3763E−02

2.6624E−01

1.0162E−02

 − 

HHO

3.1670E−03

3.3336E−03

5.0246E−01

2.7905E−03

 − 

WHO

1.9927E−03

2.2954E−03

9.5377E−02

6.8037E−04

AOA

3.5107E−02

3.5107E−02

7.0219E−02

1.5608E−03

 − 

ASO

3.3558E−01

3.3551E−01

2.6751E−01

1.0136E−02

 − 

CBO

1.8694E−03

2.0604E−03

7.9177E−01

5.4145E−04

Solarex MSX-60 PV module

SHO

1.1124E−01

1.2816E−01

1.1078E−00

6.3931E−02

 − 

STO

3.2030E−03

5.3431E−03

7.6117E−01

3.3049E−02

 − 

AO

4.4790E−01

4.5228E−01

7.7609E−01

3.5513E−02

 − 

HHO

6.3360E−03

2.8033E−02

1.2292E−00

1.2387E−02

 − 

WHO

2.6961E−03

3.0963E−03

8.2015E−01

7.9895E−04

 + 

AOA

5.4382E−01

5.4668E−01

7.5013E−01

2.4043E−02

 − 

ASO

2.6812E−01

3.3548E−01

2.5471E−01

1.6006E−02

 − 

CBO

2.7975E−03

4.1348E−02

8.2282E−01

8.7457E−04

SS2018P PV module

SHO

7.8158E−02

8.8517E−02

2.1059E−01

2.6029E−02

 − 

STO

6.1898E−05

6.1650E−05

1.3300E−02

8.9852E−04

 − 

AO

2.9642E−02

2.9642E−02

3.0433E−02

9.1209E−03

 − 

HHO

1.0315E−04

4.8579E−04

1.5552E−01

2.8096E−03

 − 

WHO

4.7571E−05

3.9300E−06

3.0389E−02

5.5913E−04

 + 

AOA

3.0362E−02

3.0554E−02

5.9491E−02

2.3538E−03

 − 

ASO

2.8581E−01

3.3551E−01

2.9293E−01

4.4798E−03

 − 

CBO

8.3023E−05

4.0300E−04

4.1757E−01

5.8557E−04

  1. Significant values are in bold.