Table 20 Analysis of statistical results on the fixed bench mark functions.

From: Global MPPT optimization for partially shaded photovoltaic systems

Function

 

PSO

GWO

ChOA

\({\text{F}}\left( {\text{X}} \right) = 4~{\text{X}}_{1}^{2} - 2.1~{\text{X}}_{1}^{4}\) \(+ \frac{1}{3}{\text{X}}_{1}^{6} + {\text{X}}_{1} {\text{X}}_{2} - 4{\text{X}}_{1}^{2} + 4{\text{X}}_{2}^{4}\)

Mean

1.11E-27

1.15E-27

1.66E-05

SD

1.28E-27

1.99E-25

7.44E-06

Best

6.41E-29

1.87E-27

6.18E-06

Worst

4.75E-25

1.02E-24

3.33E-05

\(F\left( x \right) = ~3.5~{\text{X}}_{1}^{2} - 2.1~{\text{X}}_{1}^{4}\) \(+ \frac{1}{6}{\text{X}}_{1}^{6} + {\text{X}}_{1} {\text{X}}_{2} - 6.5{\text{X}}_{1}^{2} + 4{\text{X}}_{2}^{4}\)

Mean

−1.021628

−1.03162854

−1.02951915

SD

2.69E-06

8.43E-8

0.00802573

Best

−1.03156

−1.03162856

−1.0316845

Worst

−1.03128

−1.03162485

−0.99998811