## 5 Conclusions  
The development of the thermodynamic model of the adsorption TES system allowed a comparative analysis between different working pairs, through the simulation of three operating conditions. The results obtained have highlighted the high potential in terms of energy efficiency for these advanced thermal storage systems. However, the results were not compared with experimental data. Future research could be interested in validating the proposed model, in particular with regard to the working pairs that show the most promising results. The working pairs that showed the best performance are composite CaCl\({}_{2}\)-silica/water, zeolite DDZ70 UOP/water and LiCl-silica/methanol solution. The following points summarize the main conclusions reached:  
* Performance decreases with increasing metal mass in the adsorbent bed and increasing storage time. The percentage decrease is particularly high for ethanol-based working pairs while it is limited when using water and methanol as refrigerant. * In the case of application of the TES adsorption system in the residential sector, the working pairs consisting of composite CaCl\({}_{2}\)-silica/water and zeolite DDZ70 UOP/water are the best for low metal/adsorbent mass ratios (with, respectively, \(\eta\)1 = 3.05 and \(\eta\)1 = 2.88), while for higher ratios LiCl-silica/methanol shows good results (\(\eta\)4 = 2.57), especially for long-term storage. * In the case of transport applications, simulations led to similar conclusions to those reached in the residential case. The LiCl-silica/methanol mixture offers even better performance, resulting in many cases the most recommended choice. In the case of long-term storage, the zeolite AQSOA FAM Z02/water solution arouses great interest (with efficiencies between 2.54 and 1.97), in particular for high values of \(\phi\). * For industrial applications, the selection of working pairs is highly critical, due to the critical working conditions, which do not allow the use of many solutions. The only acceptable mixtures among those taken into consideration are the water-based ones, with zeolite SAPO 34 Tianjin or silica gel Sorbsil as a refrigerant. The latter offers the best performance in terms of energy efficiency (with values between 2.89 and 1.79, as t and \(\phi\) vary), in all the cases considered. Conceptualization, S.V. ; Methodology, G.M. ; Software, M.A., G.M. and S.V. ; Formal analysis, M.A. and G.M. ; Writing--original draft, M.A. ; Writing--review & editing, G.M. and S.V. ; Project administration, S.V. ; Funding acquisition, S.V. All authors have read and agreed to the published version of the manuscript. Figure 14: Storage efficiency vs. metal/adsorbent mass ratio for industrial sector: (**a**) short-term storage and (**b**) long-term storage. **Funding:** This study received funding from the European Union--Next-GenerationEU--National Recovery and Resilience Plan (NRRP)--Mission 4, Component 2, Investment N. 1.1, Call PRIN 2022. PNRR D.D. 1409 14-09-2022--Advanced Thermal Energy Storages On Large Ships (ATOL)--CUP N. B53D23027050001 (Prot. P2022 JYLAC). **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable. **Data Availability Statement:** The original contributions presented in this study are included in the article. Further inquiries can be directed to the corresponding author. **Conflicts of Interest:** The authors declare no conflicts of interest.