This paper presents a critical analysis of various thermo-physical parameters associated with hybrid energy systems. The purpose of the analysis is to assess the performance of different types of hybrid energy systems with respect to their thermodynamic characteristics. The parameters considered include the efficiency of the system, the power output, the temperature of the system, the pressure of the system, the mass, and energy flow rate, and the cost of the system. The results of the analysis are used to develop a mathematical model for predicting the performance of hybrid energy systems for different settings. The model is then used to compare different configurations of the hybrid energy system in terms of their performance and cost. The results of the analysis indicate that the thermodynamic characteristics of the hybrid energy system are highly dependent on the type and configuration of the system. Furthermore, the cost of the system is also a major factor in determining its performance of the system.