Mathematical model for calculating passive radiative cooling systems using multi-layer coatings

Passive radiative cooling is an important way in developing technologies of energy conservation in hot and dry regions. In recent years, several novel materials with high emissivity have been proposed to be used for radiative coolers. These materials helps in economizing approximately 100 W/m2 average daily cooling energy.This work presents a mathematical model for studying the optical properties of multi-layer coatings. It is also considered as a theoretical assessment of cooling performance for radiators of passive radiation cooling systems with coatings (multi-layer structures).Coatings optical properties have been evaluated using the Transfer Matrix Method (TMM). The model has been developed in MATLAB. This mathematical model allows selecting the optimum coating for a radiative cooling system. Comparing the experimental literature data with the model theoretical results shows sufficient accuracy of the model. Therefore, it is possible to utilize the suggested model for engineering calculations.