## 1 Introduction  
The Industrial Revolution introduced machines, speeding up production and replacing human labor. This relied heavily on fossil fuels, which also powered daily essentials like transportation, household appliances, and communication devices. Fossil fuels, however, are finite. To sustain modern lifestyles driven by machines, researchers have turned to renewable energy sources, such as solar and geothermal energy, for electricity generation and heating. Simultaneously, energy-efficient machines have been developed to optimize energy use while maintaining functionality. In this respect, Organic Rankine Cycles (ORC), which utilize organic fluids capable of operating efficiently at geothermal heat source temperatures up to nearly 200 \({}^{\circ}\)C [1], have recently attracted considerable research attention for energy production [2, 3, 4, 5, 6, 7]. Another emerging trend in the literature is the development of integrated systems that connect power-producing and power-consuming systems [8]. In the research conducted by [PERSON] et al., the authors have introduced a combined ORC and a Vapor Compression Refrigeration Cycle (VCC) system for small-scale heat driven refrigeration applications [9]. The ORC uses R245 fa as the working fluid, while the VCC employs R134a. The power produced by the ORC is transmitted with a belt mechanism to drive the VCC compressor. Since the cycles in [PERSON] et al. 's [9] study do not share any component directly, but they are only connected by energy transfer, the ORC and the VCC are considered indirectly connected [10]. The system has been designed to recover waste heat from the cooling water of an internal combustion engine, operating at approximately 95 \({}^{\circ}\)C. For refrigeration at \(-4\)\({}^{\circ}\)C, the system has been shown to produce a cooling capacity up to 1.8 kW [9]. The ORC and the VCC cycles can be directly linked by utilizing the same condenser. [PERSON] has explored a directly connected ORC-VCC system using 14 different working fluids [11]. The study has found that the optimal system performance has been achieved with R602, a dry working fluid with the highest critical temperature. R602 has been identified as the most suitable fluid for the ORC-VCC system, considering both system efficiency and environmental factors. For refrigeration at \(0\)\({}^{\circ}\)C, the system with R602 has been shown to provide a cooling capacity of 303.7 kW [11]. In another study on the directly combined ORC-VCC system, [PERSON] has investigated the basic ORC-VCC and two-stage regenerative ORC-VCC cycles [12]. The two-stage regenerative ORC-VCC cycle has been observed to be more efficient than the basic ORC-VCC [12]. Additionally, [PERSON] and [PERSON] investigate a directly combined ORC-VCC by using solar energy [13]. Moreover, [PERSON] et al. have examined various cycle configurations and have presented energetic improvements over the basic ORC-VCC [14; 15]. These studies encourage the design of new ORC-VCC configurations to be explored in future research. Some research on the ORC-VCC system has been conducted with a focus on two temperature levels of refrigeration [16; 17; 18; 19; 20; 21; 22; 23]. This type of refrigeration utilized in supermarkets plays a key role in preserving both fresh and frozen food by utilizing different temperature levels. Research and development on the VCC cycles having two temperature levels continue to hold an important place in the literature [24; 25; 26; 27; 28; 29; 30]. Table 1 presents a summary of the literature reviewed in this paper. [PERSON] and [PERSON] have conducted an indirectly connected ORC and two temperature level VCC study [20]. While their primary objective was to enhance the performance of a CO\({}_{2}\) booster refrigeration cycle, the authors utilized the waste heat from CO\({}_{2}\), prior to its entry into the gas cooler, as the heat source for the ORC cycle. According to their findings, electricity consumption has been reduced by 4.60% to 7.03% compared to the conventional booster cycle [20]. [PERSON] et al.