  We investigate electrically charged black holes in $(2+1)$ dimensional
gravity coupled to nonlinear electrodynamics (NED). The metric function $f(r)$
is depicted, showing that there can be one or two horizons. We study black hole
thermodynamics in extended phase space. The cosmological constant played the
role of thermodynamics pressure. Electrostatic potential, vacuum polarization,
internal energy, Helmholtz and Gibbs free energies as functions of black hole
horizon and Hawking temperature were analysed. The global stability of the
black hole is discussed. The specific heat and local thermodynamic stability of
black holes are studied. Finally, the Van der Walls behaviour of the black
holes is investigated.
