Increasing the reliability, stability, and safety of renewable energy systems depends on the integration of energy storage systems in order to balance energy production and demand. This research introduces an innovative system that combines a chemisorption unit, a phase change material (PCM)-based thermal energy storage (TES) mechanism, and a solar thermal unit with Linear Fresnel Reflectors (LFRs), tailored for residential usage. The system’s performance and dynamics are examined using TRNSYS and MATLAB software tools. Within this system, electricity is produced via a turbine propelled by the pressure differential created by chemical reactions within a chemisorption unit. Concurrently, cooling was facilitated through the ammonia evaporation process within an evaporator. At heat source temperatures between 100–200 °C, the system achieved a maximum electricity output of 2,718.9 W and a cooling rate of 14,601.5 W. The energy efficiency peaked at 46.32 %, and exergy efficiency at 40.78 %. The thermal energy storage component, with a volume of 1.5 m3, achieved a maximum storage capacity of 253.7 kWh. The study shows that higher heat source temperatures enhance production capacity but reduce the coefficient of performance (COP) for cooling by approximately 25 %. Overall, the system demonstrates significant potential for improving the efficiency and reliability of renewable energy systems.