Table 4 Statistical comparison of COMFO, on CEC 2017 with 50D for F17–F30.

From: Electric vehicle integrated tidal-solar-wind-hydro-thermal systems for strengthing the microgrid and environment sustainability

CEC-2017 (D=50)

Function

BWM_HS

CVnew

SGSADE

HGSO

LSHADE-cnEpSin

LSHADE-SPACMA

COMFO

Hybrid

F17

Mean

3.099\(\times 10^{2}\)

2.011\(\times 10^{2}\)

8.099\(\times 10^{1}\)

2.014\(\times 10^{3 }\)

3.199\(\times 10^{1}\)

3.987\(\times 10^{1}\)

1.810 × 101

SD

1.889\(\times 10^{2}\)

6.901\(\times 10^{1}\)

2.198\(\times 10^{1}\)

1.983\(\times 10^{1}\)

4.986

7.401

1.077 × 101

Sign

+

+

\(-\)

+

\(-\)

\(-\)

 

F18

Mean

1.501\(\times 10^{5}\)

4.009\(\times 10^{1}\)

1.988\(\times 10^{3}\)

1.001\(\times 10^{4}\)

1.986\(\times 10^{1}\)

3.801\(\times 10^{1}\)

0.732 × 101

SD

5.901\(\times 10^{4}\)

6.985

1.801\(\times 10^{3}\)

5.712\(\times 10^{4}\)

6.901\(\times 10^{-1}\)

2.021

1.666 × 10−1

Sign

+

\(-\)

=

+

\(-\)

\(-\)

 

F19

Mean

7.907\(\times 10^{3}\)

1.897\(\times 10^{1}\)

2.199\(\times 10^{1}\)

1.966\(\times 10^{3}\)

4.512

8.201

7.523 × 10−1

SD

9.902\(\times 10^{3}\)

3.101

6.190

2.901\(\times 10^{3}\)

1.901

2.303

6.006

Sign

+

+

+

+

+

+

 

F20

Mean

1.799\(\times 10^{2}\)

1.812\(\times 10^{2}\)

0.909\(\times 10^{2}\)

1.701\(\times 10^{3}\)

2.512\(\times 10^{1}\)

7.805\(\times 10^{1}\)

3.475 × 102

SD

8.901\(\times 10^{1}\)

9.615\(\times 10^{1}\)

4.905\(\times 10^{1}\)

2.988\(\times 10^{2}\)

6.501

4.201\(\times 10^{1}\)

2.042 × 101

Sign

+

+

+

+

=

+

 

F21

Mean

2.604\(\times 10^{2}\)

1.801\(\times 10^{2}\)

2.803\(\times 10^{2}\)

2.899\(\times 10^{3}\)

1.899\(\times 10^{2}\)

1.799\(\times 10^{2}\)

7.236

SD

1.501\(\times 10^{1}\)

2.712\(\times 10^{1}\)

2.199\(\times 10^{1}\)

2.499\(\times 10^{1}\)

2.815

3.533

1.813

Sign

+

+

+

+

+

+

 

F22

Mean

1.912\(\times 10^{3}\)

1.198\(\times 10^{3}\)

1.801\(\times 10^{2}\)

3.899\(\times 10^{3}\)

2.901\(\times 10^{2}\)

2.612\(\times 10^{2}\)

1.263 × 101

SD

1.599\(\times 10^{3}\)

1.907\(\times 10^{3}\)

1.199\(\times 10^{1}\)

8.278\(\times 10^{2}\)

1.499\(\times 10^{1}\)

2.901\(\times 10^{1}\)

7.645

Sign

+

+

=

+

=

=

 

Composite

F23

Mean

4.111\(\times 10^{2}\)

3.808\(\times 10^{2}\)

3.966\(\times 10^{2}\)

1.977\(\times 10^{3}\)

2.701\(\times 10^{2}\)

2.212\(\times 10^{2}\)

4.047 × 101

SD

4.889\(\times 10^{1}\)

4.714

2.692\(\times 10^{1}\)

5.394\(\times 10^{1}\)

2.981\(\times 10^{1}\)

3.502\(\times 10^{1}\)

2.124

Sign

+

+

+

+

+

+

 

F24

Mean

5.001\(\times 10^{2}\)

4.502\(\times 10^{2}\)

3.099\(\times 10^{4}\)

2.099\(\times 10^{3}\)

4.098\(\times 10^{2}\)

1.901\(\times 10^{1}\)

1.822 × 101

SD

2.194\(\times 10^{1}\)

2.601\(\times 10^{2}\)

2.199\(\times 10^{1}\)

8.701\(\times 10^{1}\)

2.515

1.712

2.515 × 10−1

Sign

+

+

+

+

+

+

 

F25

Mean

3.901\(\times 10^{2}\)

3.612\(\times 10^{2}\)

4.099\(\times 10^{2}\)

2.866\(\times 10^{2}\)

2.404\(\times 10^{2}\)

1.888\(\times 10^{1}\)

2.036 × 101

SD

2.401

7.312\(\times 10^{-1}\)

4.901

2.887\(\times 10^{1}\)

7.401\(\times 10^{-3}\)

1.828\(\times 10^{-2}\)

1.410 × 10−3

Sign

+

+

+

+

+

+

 

F26

Mean

2.701\(\times 10^{3}\)

3.711\(\times 10^{2}\)

2.912\(\times 10^{3}\)

4.701\(\times 10^{3}\)

9.310\(\times 10^{2}\)

9.831\(\times 10^{2}\)

1.222 × 102

SD

6.401\(\times 10^{2}\)

3.201\(\times 10^{1}\)

2.101\(\times 10^{2}\)

1.889\(\times 10^{2}\)

4.701\(\times 10^{1}\)

3.498\(\times 10^{1}\)

2.757 × 101

Sign

+

+

+

+

+

+

 

F27

Mean

5.618\(\times 10^{2}\)

5.301\(\times 10^{2}\)

5.615\(\times 10^{2}\)

3.701\(\times 10^{3}\)

5.099\(\times 10^{2}\)

5.198\(\times 10^{2}\)

3.617\(\times 10^{2}\)

SD

1.401\(\times 10^{1}\)

9.901

1.815

1.099\(\times 10^{2}\)

6.603

1.789\(\times 10^{1}\)

9.701 × 10−1

Sign

=

=

=

+

=

=

 

F28

Mean

4.501\(\times 10^{2}\)

3.312\(\times 10^{2}\)

3.601\(\times 10^{2}\)

3.214\(\times 10^{3}\)

2.901\(\times 10^{2}\)

2.888\(\times 10^{2}\)

8.498\(\times 10^{1}\)

SD

6.501\(\times 10^{1}\)

3.919\(\times 10^{1}\)

5.097\(\times 10^{1}\)

7.501\(\times 10^{1}\)

3.883\(\times 10^{1}\)

5.803\(\times 10^{1}\)

3.206 × 101

Sign

+

+

+

+

+

+

 

F29

Mean

5.099\(\times 10^{2}\)

8.412\(\times 10^{2}\)

6.504\(\times 10^{2}\)

3.811\(\times 10^{3}\)

4.415\(\times 10^{2}\)

3.901\(\times 10^{2}\)

2.640 × 102

SD

1.812\(\times 10^{2}\)

1.301\(\times 10^{2}\)

6.601\(\times 10^{1}\)

1.402\(\times 10^{2}\)

7.096

4.111\(\times 10^{1}\)

1.222 × 101

Sign

+

+

+

+

+

+

 

F30

Mean

1.111\(\times 10^{4}\)

2.401\(\times 10^{3}\)

2.719\(\times 10^{3}\)

9.828\(\times 10^{3}\)

1.502\(\times 10^{3}\)

8.828\(\times 10^{2}\)

7.826 × 102

SD

5.801\(\times 10^{3}\)

5.242\(\times 10^{2}\)

9.401\(\times 10^{2}\)

3.615\(\times 10^{3}\)

4.299\(\times 10^{3}\)

9.099\(\times 10^{2}\)

2.606 × 102

Sign

=

\(-\)

\(-\)

=

\(-\)

\(-\)