This study presents a comprehensive exergetic analysis, facilitated by computational modeling, of a solar-powered air conditioning system directly linked to a photovoltaic generator. The system, designed without an energy storage component, aims at addressing the cooling requirements of a library by harnessing the natural regulation of solar energy, under two distinct solar irradiance profiles. Simulations revealed that the photovoltaic generator necessitates a minimum solar incidence of 240 W/m² to fulfill the basal cooling capacity of the system. The results indicated that only 25% of the library's operational period on a sunny day, and a mere 12.3% on a cloudy day, met the thermal comfort standards for occupants. Furthermore, the study discerned an increase in exergy destruction in the system components over the course of the day. The photovoltaic system exhibited the highest level of exergy destruction, followed by the compressor, condenser, evaporator, and expansion valve respectively. This exergy analysis offers a holistic evaluation of the system's overall efficiency. It transcends mere energy efficiencies and incorporates power quality losses that transpire during the conversion and transport processes. With this in-depth assessment, the study not only identifies the areas of greatest energy losses but also offers insights that could enhance the system's design and operational efficiency.