Table 19 Fixed dimension bench mark functions.

From: Global MPPT optimization for partially shaded photovoltaic systems

Function

Range

fmin

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

[−5 5]

0.00312

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

[−5 5]

0.0612