  The present paper is aimed to study thermodynamical properties of phase
transition for regular charged black holes. In this context, we have considered
two different forms of black hole metrics supplemented with exponential and
logistic distribution functions and investigated the recent expansion of phase
transition through grand canonical ensemble. After exploring the corresponding
Ehrenfest's equation, we found the second order background of phase transition
at critical points. In order to check the critical behavior of regular black
holes, we have evaluated some corresponding explicit relations for the critical
temperature, pressure and volume and draw certain graphs with constant values
of Smarr's mass. We found that for the BH metric with exponential configuration
function, the phase transition curves are divergent near the critical points,
while glassy phase transition has been observed for the
Ay\'{o}n-Beato-Garc\'{i}a-Bronnikov BH in $n=5$ dimensions.
