Table 3 Statistical comparison of COMFO on CEC 2017 with 30D for F1–F16.

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

CEC 2017 (D=30)

Function

BWM_HS

CVnew

SGSADE

HGSO

SCA

MFO

COMFO

Unimodal

F1

Mean

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

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

3.498\(\times 10^{-8}\)

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

0.000

3.073\(\times 10^{-8}\)

2.986 × 10−8

SD

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

0.000

3.945\(\times 10^{-8}\)

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

0.000

2.049\(\times 10^{-8}\)

2.029 × 10−8

Sign

+

+

\(-\)

\(-\)

\(-\)

\(-\)

 

F3

Mean

1.199\(\times 10^{-7}\)

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

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

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

2.119\(\times 10^{-8}\)

3.299\(\times 10^{-8}\)

1.983 × 10−7

SD

4.499\(\times 10^{-8}\)

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

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

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

2.198\(\times 10^{-8}\)

1.920\(\times 10^{-8}\)

2.137 × 10−7

Sign

+

+

+

+

+

+

 

Multi-modal

F4

Mean

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

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

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

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

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

3.242\(\times 10^{-8}\)

2.788 × 10−8

SD

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

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

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

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

2.897

3.004\(\times 10^{-8}\)

1.316 × 10−8

Sign

+

+

+

+

+

\(-\)

 

F5

Mean

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

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

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

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

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

3.711

3.087 × 101

SD

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

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

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

9.896

2.399

2.693

1.087 × 101

Sign

+

+

+

+

\(-\)

\(-\)

 

F6

Mean

1.199\(\times 10^{-5}\)

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

2.304\(\times 10^{-8}\)

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

1.101\(\times 10^{-8}\)

1.115\(\times 10^{-8}\)

8.230 × 10−8

SD

2.224\(\times 10^{-5}\)

8.231

1.499\(\times 10^{-8}\)

7.701

1.502\(\times 10^{-8}\)

1.318\(\times 10^{-8}\)

1.234 × 10−7

Sign

\(-\)

+

\(-\)

+

\(-\)

\(-\)

 

F7

Mean

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

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

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

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

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

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

5.417

SD

9.701

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

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

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

2.252

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

5.268 × 10−1

Sign

+

+

+

+

+

+

 

F8

Mean

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

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

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

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

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

3.416

3.157

SD

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

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

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

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

2.789

1.777

1.596

Sign

+

+

+

+

+

=

 

F9

Mean

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

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

5.972\(\times 10^{-8}\)

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

0.199

0.403

0.000

SD

8.0044\(\times 10^{1}\)

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

6.033\(\times 10^{-8}\)

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

0.303

0.842

0.005 × 10−8

Sign

+

+

+

+

+

+

 

F10

Mean

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

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

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

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

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

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

4.420 × 102

SD

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

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

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

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

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

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

9.417 × 101

Sign

+

+

+

+

+

+

 

F11

Mean

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

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

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

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

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

4.206

3.100

SD

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

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

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

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

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

3.846

1.541

Sign

+

+

+

+

+

=

 

F12

Mean

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

5.099\(\times 10^{9}\)

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

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

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

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

5.125

SD

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

5.899\(\times 10^{9}\)

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

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

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

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

3.632

Sign

+

+

+

+

+

+

 

F13

Mean

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

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

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

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

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

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

7.299 × 10−1

SD

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

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

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

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

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

4.826

4.056 × 10−1

Sign

+

+

+

+

+

+

 

F14

Mean

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

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

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

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

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

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

3.146 × 10−1

SD

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

7.099

8.912

1.803

2.501

1.989

0.688 × 10−1

Sign

+

+

+

+

+

+

 

F15

Mean

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

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

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

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

4.018

4.561

3.146 × 101

SD

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

8.803

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

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

2.101

2.897

1.401 × 101

Sign

+

=

+

+

\(-\)

\(-\)

 

F16

Mean

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

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

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

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

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

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

5.478

SD

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

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

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

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

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

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

2.911

Sign

+

+

+

+

+

+

 
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