  In this paper we have studied electrically charged black holes in a new model
of nonlinear electrodynamics introduced by Kruglov in Ref. [1]. There are two
parameters for the theory and the black hole could have up to two horizons.
Thermodynamics is studied in the extended phase space where the pressure is
proportional to the cosmological constant. First law and the Smarr formula are
derived. There are phase transitions similar to the Van der Waals liquid-gas
phase transitions. Black hole is also studied as a heat engine and have
discussed how the parameters in the nonlinear electrodynamics theory effect the
efficiency of the heat engine.
