3.2.1. Exogenous/Endogenous Exergy Destruction

To observe the effect of the parts on each other in a system, the kth component destruction rate is split into exogenous and endogenous parts:

$$
\dot{E}\_{D,k} = \dot{E}\_{D,k}^{EN} + \dot{E}\_{D,k}^{EX} \tag{22}
$$

The endogenous exergy destruction ( . *E EN <sup>D</sup>*.*<sup>k</sup>*) is the destruction rate associated with irreversibility due to inefficiency in the kth component, while all the residual components work preferably. The exogenous exergy destruction ( . *E EX <sup>D</sup>*.*<sup>k</sup>*) is related to the destruction rate that happens in the remaining components. This dividing shows the real location of destructions in the systems, so that researchers can focus on the exact parts to improve system performance. There are two ways to compute the endogenous exergy destruction rate: engineering method and thermodynamic or hybrid cycle [26]. In this study, hybrid cycles of the systems are selected for the analysis. In this method, to calculate the rate of endogenous exergy destruction in the kth component, it is set on its real condition, and the other components work on their ideal conditions (with no irreversibilities). The components' ideal conditions selected for this study are shown in Table 2.
