## 1 Introduction
[9] designed a new biogas-powered tri-generation system for power generation, cooling, and drinking water. An ORC and an ejector cooling cycle (ECC) are included in the system, as well as an HDH and a gas turbine (GT). The system's optimization increases net power, cooling, TGOR, and exergy efficiency by 2.58%, 22.69%, 14.04%, and 13.26%, respectively. Regarding multi-objective optimization factors, [PERSON] et al. [10] investigated three tri-generation energy systems (biomass tri-generation, solid oxide fuel cell tri-generation, and integrated solar tri-generation). Thesolid oxide fuel cell tri-generation system is determined to have the greatest tri-generation exergy efficiency at 64.5%. [PERSON] [11] provided a thermodynamic analysis and optimization comparison of two separate designs of geothermal energy-based tri-generation systems based on research involving geothermal energy (one using an ORC and the other using a Kalina cycle). The ORC and Kalina cycles are coupled to a LiBr/water absorption chiller and a water heater to provide cooling and heating loads, respectively. In addition, [PERSON] et al. [12] investigated a multigenerational system that utilizes geothermal, solar, and ocean thermal energy conversion as energy inputs to produce electrical power, fresh water, space cooling, and industrial heating. The energy and exergy efficiency of the entire system were determined to be 13.93% and 17.97%, respectively. Moreover, [PERSON] et al. [13] developed a unique tri-generation system that generates potable water, electricity, and cooling utilizing a flash-binary geothermal heat source at 170 \({}^{\circ}\)C. It was discovered that optimization increases turbine output power, overall cooling load, tri-generation-based gain-output-ratio (TGOR), and exergy efficiency by approximately 77.08 percent, 87.01 percent, 8.18 percent, and 46.33 percent, respectively. In addition, [PERSON] et al. [14] described a novel geothermal-powered tri-generation layout based on a cascade power system and a CO\({}_{2}\) cooling system. A modified Kalina cycle (MKC), an (ORC), and a liquefied natural gas (LNG) subsystem are all components of the geothermal-powered cascade system. The net output power, cooling rate, and hydrogen rate of the system are 451.8 kW, 297.8 kW, and 2.27 kg per hour, respectively. In another studies, [PERSON] et al. [15] tested a tri-generation power plant with solar desiccant air conditioning. The solar-driven desiccant cooling system met roughly 35% of the total building cooling load under ideal ambient circumstances. [PERSON] et al. [16] conducted a thermodynamic analysis of a poly-generation system that included a solar power system (SPS), a multi-effect desalination (MED) system, and an absorption refrigeration system (ARS). The facility is powered by solar energy, with a natural gas heater for backup. The proposed integrated system has the lowest unit water price of 1247 USD/m\({}^{3}\), cooling unit price of 0.003 USD/kWhr, and the maximum energy efficiency of 23.95%. [PERSON] et al. [17] devised and implemented a conceptual analytic approach for finding the optimal integration of linear Fresnel reflector (LFR) technology with traditional cooling, fresh water, and electric power tri-generation systems. [PERSON] et al. [18] designed and evaluated a new tri-generation plant for integrated cooling, heating, and power based on compressed air energy storage technology. It was discovered that choosing the best trade-off solution resulted in an overall exergy efficiency of 53.04% and a total product unit cost of 20.54 cents/kWh. [PERSON] and [PERSON] [19] used several optimization parameters to optimize a tri-generation system for solar-powered building applications. According to the final results, the optimum system has an exergy efficiency of 11.26% and an energy efficiency of 87.39%, while the power outputs for electricity, cooling, and heating are 4.6 kW, 7.1 kW, and 59.4 kW, respectively. Recently, [PERSON] et al.