The refrigeration sector has an essential and growing role in the global economy, with an increase in the number of operating systems. The need to develop new refrigerants has been increasingly frequent, in order to meet increasingly stringent environmental legislation. Equally, measures involving the introduction of new materials, such as nanofluids, have been a constant. In this work, a cooling system using a POE-diamond nanolubricant mixture and R410A refrigerant was simulated. Experimental data provided by the Federal University of Uberlândia (UFU) were used for the elaboration and validation of the model. The simulation uses the Peng-Robinson equation to calculate thermodynamic properties and the moving-boundary method for modeling the heat exchangers. The impact of the nanoparticles in relation to critical parameters was evaluated based on the principle of isomorphism and the nature of both materials: base fluid and nanoparticles. The convergence of the refrigeration cycle simulation was obtained with the modified simplex method, which proved to be adequate for such application, presenting satisfactory convergence in all cases. Evaporation,condensation and discharge temperatures are obtained from the operating conditions of compressor and both heat transfer fluids, the degree of superheating in the evaporator and also the degree of subcooling in the condenser. Response surfaces were created in order to evaluate the effect of each of the variables (evaporation temperature, compressor frequency and nanoparticle concentration) used in the study of the performance coefficient (COP), refrigeration capacity and compressor power. Results have shown that the evaporation temperature has a significant impact on the cooling capacity and the COP, while the power is mainly affected by the compressor frequency. The nanoparticles concentration, despite having a more attenuated effect, should not be neglected, due to the change it causes to the mixture thermophysical properties.