## 2 Materials and Methods
### Advanced Exergy Analysis  
The main idea is that the equipment irreversibility is not only due to the weak thermodynamic performance of the equipment itself, but also to the performance of other equipment associated with it, [PERSON] and [PERSON] (2018).  
In this analysis, equipment irreversibility is divided into two categories: one from perspective of the origin of irreversibility and the other from the perspective of the ability to eliminate irreversibility. The irreversibility of each device is categorized into endogenous irreversibility and exogenous irreversibility.  
Endogenous irreversibility is the part of irreversibility that is related to the intrinsic performance of the equipment itself and the type of energy conversion process that occurs in it, and even if other equipment operates in its ideal condition and is not irreversible, this part is irreversible. Exogenous irreversibility is also part of the irreversibility, which is the inductive effect of irreversibility on other devices.  
The irreversible division is of importance, and obtained results indicate the quality of the layout and structure of the process; however, performing it and calculating the endogenous irreversibility of the equipment is more complex. In fact, it is a major issue of advanced exergy analysis. In this regard, first, a hybrid cycle was designed in which all components, except the studied component, operated  
\begin{table}
\begin{tabular}{l l} \hline \hline
**Definition** & **Equation** \\ \hline The relationship between environmental impact and & \\ exergy for each stream, [PERSON] et al. (2018). & \(\dot{B}_{i}=b_{i}\dot{E}_{i}\) \\ The exergy environmental balances of equipment, & \\ [PERSON] et al. (2018). & \(\sum\dot{B}_{in,k}-\sum\dot{B}_{out,k}+\dot{Y}_{k}=0\) \\ The environmental impact of the equipment, & \\ [PERSON] et al. (2018). & \(\dot{Y}_{k}=\frac{\dot{Y}_{k}}{3600+n}\) \\ The exergy environmental impact of the fuel streams of & \\ the equipment, pts.kJ-1, [PERSON] et al. (2018). & \(b_{F,k}=\frac{\dot{B}_{F,k}}{\dot{E}_{F,k}}\) \\ The exergy environmental impact of the product streams & \\ of the equipment, pts.kJ-1, [PERSON] et al. (2018). & \\ The environmental rate of exergy destruction of & \\ equipment, [PERSON], et al. (2018). & \\ The exergy environmental factor, [PERSON] et al. (2018). & \\ \hline \hline \end{tabular}
\end{table}
Table 3: Equations needed for the exergo-environmental analysis.  
under a theoretical state. The endogenous irreversibility of the component was obtained by calculating its energy degradation in this cycle.  
Unavoidable irreversibility is a part of irreversibility that is not eliminated due to technical and economic constraints and will always exist, and avoidable irreversibility is part of irreversibility that can be solved with little cost and modification of the equipment. Determination of the unavoidable irreversibility depends on the technical and economic constraints of process design, and the hypothetical criteria are provided by the analyst himself. The input values of main parameters used in the simulation are listed in Table 4, [PERSON] et al. [49], [PERSON] et al. [50], [PERSON] et al. [51], [PERSON] et al. [52], [PERSON] et al. [53].  
It is not enough to have only information about exogenous/endogenous and avoidable/unavoidable irreversibility to evaluate the performance of the equipment, but there is also a need for more information in this regard. Therefore, the total exergy destruction was categorized into endogenous-avoidable exergy destruction, endogenous-unavoidable exergy destruction, exogenous-avoidable exergy destruction and exogenous-unavoidable exergy destruction, as can be seen in Table 5.