Performance Improvement of a Solar-Assisted Absorption Cooling System Integrated with Latent Heat Thermal Energy Storage

: Phase change materials (PCMs) have emerged as promising solutions for latent heat thermal energy storage (LHTES) systems, offering considerable potential for storing energy derived from renewable sources across various engineering applications. The present study focused on optimization of solar cooling system by integrating LHTES with different PCM tank conﬁgurations. TRNSYS simulation software was selected for the study, and the collected experimental data from laboratory system prototype were used for system validation. The results indicate that the use of PCM led to a noteworthy decrease of 6.2% in auxiliary energy consumption. Furthermore, the time during which the heat carrier temperature ﬂow exceeded 90 ◦ C from the storage tank to the auxiliary ﬂuid heater was extended by 27.8% when PCM was utilized compared to that of its absence. The use of PCM in LHTES is more effective under variable weather conditions. On the day when changes in weather conditions were observed, around 98% of the cooling load was provided by produced sun energy. The results of the research can be used to optimize the solar cooling system, which will help reduce the environmental impact of cooling systems running on non-renewable fuels.


Introduction
Heating and cooling demands in the European Union (EU) in 2020 accounted for 50% of the total gross final energy consumption [1].The energy efficiency of a building is primarily influenced by two key components: the building envelope and the air-conditioning system [2].The increase in cooling degree day value from 37 in 1979 to 100 in 2021 suggests that the demand for cooling, particularly air conditioning, has indeed increased in EU over the past few decades [3].Heatwaves are becoming more frequent and intense, particularly in southern and central European countries where the temperature reached record-high 40 • C in recent summertime [4].The use of air conditioners and electric fans for cooling purposes account for a significant portion of electricity consumption in buildings worldwide.According to International Energy Agency (IEA) reports, cooling-related energy consumption in buildings can contribute to approximately 20% of total electricity usage [5].Presently, ensuring a satisfactory degree of thermal comfort and minimizing the energy usage of the building has become a contentious and pressing undertaking [6].The energy demand for cooling in the EU is continuously increasing because an inappropriate indoor climate can cause observable problems for people, which are mainly related to reduced productivity and negative health impacts [7].This high level of energy consumption for cooling is one of today's biggest challenges due to environmental, economic, social and security factors, which means that there is an extremely urgent need to find smart, sustainable, and inclusive cooling system technologies for the EU to be climate neutral by 2050.According to a European Environment Agency (EEA) report [8], cooling technologies are mostly powered by fossil fuels.
In recent years, there has been a growing interest in cooling absorption systems due to policies aimed at reducing CO 2 emissions.Absorption systems, particularly those equipped Energies 2023, 16, 5307 2 of 12 with absorption chillers for cooling applications, can indeed play a significant role in working towards climate neutrality due to their low electricity consumption making them more energy efficient compared to traditional vapor compression systems [9].The H 2 O/LiBr absorption system is notable for its use of water as the coolant, which offers an environmentally friendly advantage [10].Additionally, the heat source for the H 2 O/LiBr absorption system can be solar-heated water, further enhancing its environmental benefits.At present, ensuring energy independence by using renewable energy sources (RES) and improving energy efficiency has emerged as a critical subject demanding immediate attention and focused efforts [11].Solar energy is considered one of the cleanest and most abundant energy sources available worldwide.However, one limitation of solar energy is its intermittent nature.This intermittency can pose challenges for continuous and consistent energy supply.To overcome this limitation and ensure continuous operation of the load, energy storage technologies are used.Storage for solar electricity is already a well-developed technology that has been widely used, while thermal energy storage for solar heat is currently undergoing research and development, suggesting that it has not yet reached a mature stage [12].The integration of thermal energy storage (TES) in energy supply systems produces significant benefits in terms of system self-consumption and self-sufficiency indices [13,14].The existing body of literature regarding TES can be categorized according to the type of heat stored, such as sensible heat storage or latent heat storage (LHS) [15].Phase change materials (PCMs) are regarded as promising energy-saving materials due to their ability to store and release significant amounts of latent heat during isothermal phase transitions.This quality makes them suitable for delivering efficient heating or cooling energy [16,17].The use of PCM in latent heat thermal energy storage (LHTES) enables high energy storage density while maintaining a relatively stable operating temperature [18,19].LHTES technology holds significant value in various renewable energy applications, including electricity "peak shaving" and promoting energy efficiency in industrial and civil buildings, among other areas [20,21].The LHTES integration into the existing solar cooling system can reduce the energy consumption and increase the system coefficient of performance (COP) [22,23] The study is based on previous studies [24][25][26][27], and the main aim of this work is to improve the efficiency of latent heat thermal energy storage (LHTES) by proposing the different PCM tank configurations.Different types of phase change materials were selected and tested to determine their suitability for solar absorption cooling systems.In these studies, comprehensive assessment was conducted to review the selection, methodologies, integration, improvements, and challenges associated with suitable phase change materials (PCM) for operating temperatures of each component.Furthermore, the impact of PCM on the performance of a solar cooling system was calculated.Several types of phase change materials were evaluated based on various criteria, including high latent heat of fusion, conductivity, specific heat, cyclic stability, density, phase transition volume change, vapor pressure at operating temperature, melting consistency, fully reversible cycle, chemical stability, compatibility with encapsulating materials, non-corrosiveness, non-toxicity, non-explosiveness, non-flammability, environmental friendliness, cost effectiveness, and commercial availability for large-scale implementation.To enhance PCM melting, different designs for PCM containers were developed.Cylindrical geometries are known to exhibit high efficiency as storage systems, and the use of cylindrical containers with minimal dimensions further contributes to their superior performance.A study was conducted to compare heat transfer improvements among three different modifications: cylindrical form without fins, cylindrical form with circular fins, and cylindrical form with longitudinal fins.The findings suggest that the utilization of a heat transfer mechanism slightly increases the charge/discharge energy.The quantity of energy charged or discharged depends on the effectiveness of the heat transfer technique employed in the PCM modules.Based on the results obtained from these studies, paraffin RT90HC was selected as the PCM, and, consequently, cylindrical containers were chosen for the study.The research was based on a dynamic simulation of a system in TRNSYS 18 software [28].The paper is organized as follows: first, the Materials and Methods section starts with the description of the system and system model is presented.Second, the Results section presents the 10-day model simulation results in TRNSYS.Third, the Conclusions section is based on the results obtained from simulations.

Description of the System and System Model
In order to investigate the effect of PCM on the temperature stability of the tank, which is particularly important for the operation of the absorption cooling system, a model was developed in TRNSYS and validated with the real system.The research focuses on optimizing energy storage by integrating containers with phase change materials, which can decrease the consumption of auxiliary fluid heater energy and increase the coefficient of performance (COP) of the solar cooling system.The study also aims to reduce the environmental impact of the cooling system.The system studied in this research consists of vacuum solar collectors (SC) connected via heat exchanger to a 1 m 3 heat storage tank containing PCM in the top part of the tank (see Figure 1).The system utilizes water from the tank as a heat source for an absorption chiller with a cooling tower (CT).In cases where the water temperature is insufficiently high, an auxiliary electric heater is used to raise the temperature of the water before chiller.
discharged depends on the effectiveness of the heat transfer technique employed in the PCM modules.Based on the results obtained from these studies, paraffin RT90HC was selected as the PCM, and, consequently, cylindrical containers were chosen for the study.The research was based on a dynamic simulation of a system in TRNSYS 18 software [28].The paper is organized as follows: first, the Materials and Methods section starts with the description of the system and system model is presented.Second, the Results section presents the 10-day model simulation results in TRNSYS.Third, the Conclusions section is based on the results obtained from simulations.

Description of the System and System Model
In order to investigate the effect of PCM on the temperature stability of the tank, which is particularly important for the operation of the absorption cooling system, a model was developed in TRNSYS and validated with the real system.The research focuses on optimizing energy storage by integrating containers with phase change materials, which can decrease the consumption of auxiliary fluid heater energy and increase the coefficient of performance (COP) of the solar cooling system.The study also aims to reduce the environmental impact of the cooling system.The system studied in this research consists of vacuum solar collectors (SC) connected via heat exchanger to a 1 m 3 heat storage tank containing PCM in the top part of the tank (see Figure 1).The system utilizes water from the tank as a heat source for an absorption chiller with a cooling tower (CT).In cases where the water temperature is insufficiently high, an auxiliary electric heater is used to raise the temperature of the water before chiller.The research was based on a dynamic simulation of a system (see Figure 2).The system model was created using the TRNSYS 18 software (version 18.04.0001),and various scenarios were explored by varying the amount of phase change materials in the tank, the number of installed vacuum solar collectors, the cooling loads and auxiliary fluid heater temperature setpoint.The research was based on a dynamic simulation of a system (see Figure 2).The system model was created using the TRNSYS 18 software (version 18.04.0001),and various scenarios were explored by varying the amount of phase change materials in the tank, the number of installed vacuum solar collectors, the cooling loads and auxiliary fluid heater temperature setpoint.
Energies 2023, 16, x FOR PEER REVIEW 3 of 13 discharged depends on the effectiveness of the heat transfer technique employed in the PCM modules.Based on the results obtained from these studies, paraffin RT90HC was selected as the PCM, and, consequently, cylindrical containers were chosen for the study.
The research was based on a dynamic simulation of a system in TRNSYS 18 software [28].
The paper is organized as follows: first, the Materials and Methods section starts with the description of the system and system model is presented.Second, the Results section presents the 10-day model simulation results in TRNSYS.Third, the Conclusions section is based on the results obtained from simulations.

Description of the System and System Model
In order to investigate the effect of PCM on the temperature stability of the tank, which is particularly important for the operation of the absorption cooling system, a model was developed in TRNSYS and validated with the real system.The research focuses on optimizing energy storage by integrating containers with phase change materials, which can decrease the consumption of auxiliary fluid heater energy and increase the coefficient of performance (COP) of the solar cooling system.The study also aims to reduce the environmental impact of the cooling system.The system studied in this research consists of vacuum solar collectors (SC) connected via heat exchanger to a 1 m 3 heat storage tank containing PCM in the top part of the tank (see Figure 1).The system utilizes water from the tank as a heat source for an absorption chiller with a cooling tower (CT).In cases where the water temperature is insufficiently high, an auxiliary electric heater is used to raise the temperature of the water before chiller.The research was based on a dynamic simulation of a system (see Figure 2).The system model was created using the TRNSYS 18 software (version 18.04.0001),and various scenarios were explored by varying the amount of phase change materials in the tank, the number of installed vacuum solar collectors, the cooling loads and auxiliary fluid heater temperature setpoint.For a detailed description of the system elements, see Table 1.All the types used for simulation with their main used parameters are described right after Figure 2 in Section 2.2 in the text.

Vacuum Solar Collector
The following parameters were considered in the study: vacuum solar collector (Type 1288) area (total) = 28 m 2 ; efficiency = 0.568; α1 = 1.04 W/m 2 K; α2 = 0.0024 W/m 2 K 2 ; heat capacity = 6.5 kJ/m 2 K, IAM for diffuse radiation = 0.1 (see Figure 3).The inclination of solar collectors was at 45 • to the south.At the ambient air temperature of +25 • C, mean heat carrier temperature in the collector was +90 • C, and with solar radiation on the surface of 1000 W/m 2 , the simulated solar plant (28 m 2 ) may produce 13.7 kW of heating energy.
For a detailed description of the system elements, see Table 1.All the types used for simulation with their main used parameters are described right after Figure 2 in Section 2.2 in the text.

Vacuum Solar Collector
The following parameters were considered in the study: vacuum solar collector (Type 1288) area (total) = 28 m 2 ; efficiency = 0.568; α1 = 1.04 W/m 2 K; α2 = 0.0024 W/m 2 K 2 ; heat capacity = 6.5 kJ/m 2 K, IAM for diffuse radiation = 0.1 (see Figure 3).The inclination of solar collectors was at 45° to the south.At the ambient air temperature of +25 °C, mean heat carrier temperature in the collector was +90 °C, and with solar radiation on the surface of 1000 W/m 2 , the simulated solar plant (28 m 2 ) may produce 13.7 kW of heating energy.

PCM Tank
PCM tank (Type 840) was created by the authors of [29].The Institute of Thermal Engineering at Graz University of Technology developed the simulation model Type 840, which allows for detailed simulations of water tanks containing integrated PCM modules of various geometries such as cylinders, spheres, and plates.Alternatively, the model can simulate tanks filled with a PCM slurry.The heat transfer within the PCM modules is calculated by considering conduction only while disregarding convection effects in the liquid phase.Transient heat conduction in the PCM modules is modeled using a Energies 2023, 16, 5307 5 of 12 two-dimensional approach for cylinders and plates, and a one-dimensional approach for spheres, employing finite differences.The phase change process is simulated using the enthalpy method, assuming the specific enthalpy as a continuous function of temperature.The model also takes into account phenomena like supercooling and hysteresis that often occur with various PCMs.Both TRNSYS 17 and TRNSYS 18 versions of the model are available.The parameters for the designed thermal tank are as follows: volume, 1000 L; height 2 m; the tank is insulated with a 100 mm mineral wool, the total heat loss rate is determined by formula (2.26 × ∆T + 0.0072 × ∆T 2 ), where ∆T is the temperature difference between average tank temperature and outside air temperature.Water specific heat capacity is 4.2 kJ/kgK and density is 970 kg/m 3 ; effective vertical thermal conductivity is 2 W/mK.
Based on the material properties and average cost, it was decided to use commercially available material RT90HC.The following are the PCM properties: specific heat capacity, 2 kJ/kgK; phase change enthalpy, 170 kJ/kg; temperature at the start of phase change, 91 • C; temperature at the end of phase change, 92 • C; temperature difference (hysteresis) between the melting and solidification curves, 1 • C; density of the PCM material, 850 kg/m 3 ; thermal conductivity material, 0.2 W/mK.
which allows for detailed simulations of water tanks containing integrated PCM modules of various geometries such as cylinders, spheres, and plates.Alternatively, the model can simulate tanks filled with a PCM slurry.The heat transfer within the PCM modules is calculated by considering conduction only while disregarding convection effects in the liquid phase.Transient heat conduction in the PCM modules is modeled using a twodimensional approach for cylinders and plates, and a one-dimensional approach for spheres, employing finite differences.The phase change process is simulated using the enthalpy method, assuming the specific enthalpy as a continuous function of temperature.The model also takes into account phenomena like supercooling and hysteresis that often occur with various PCMs.Both TRNSYS 17 and TRNSYS 18 versions of the model are available.The parameters for the designed thermal tank are as follows: volume, 1000 L; heigh,t 2 m; the tank is insulated with a 100 mm mineral wool, the total heat loss rate is determined by formula (2.26 × ΔT + 0.0072 × ΔT 2 ), where ΔT is the temperature difference between average tank temperature and outside air temperature.Water specific heat capacity is 4.2 kJ/kgK and density is 970 kg/m 3 ; effective vertical thermal conductivity is 2 W/mK.
Based on the material properties and average cost, it was decided to use commercially available material RT90HC.The following are the PCM properties: specific heat capacity, 2 kJ/kgK; phase change enthalpy, 170 kJ/kg; temperature at the start of phase change, 91 °C; temperature at the end of phase change, 92 °C; temperature difference (hysteresis) between the melting and solidification curves, 1 °C; density of the PCM material, 850 kg/m 3 ; thermal conductivity material, 0.2 W/mK.

Circulation Pump
The following are the properties of the circulation pump (Type 741-1 and Type 741-2): overall pump efficiency, 0.6; motor efficiency, 0.9; pressure drop, 50 kPa; motor is mounted within the fluid stream.The circulation pump is controlled by Iterative feedback controller (Type 22-1 and Type 22-2) to provide a 5 °C heat carrier temperature difference between supply and return pipes of the solar collector loop and a 10 °C heat carrier temperature difference between supply and return pipes of the chiller loop.The pipe thermal losses and pipe capacitances were not considered, as they are not relevant to this study.

Auxiliary Fluid Heater
Auxiliary Fluid Heater (Type 138) has the efficiency of 100% (electrical heater).

Circulation Pump
The following are the properties of the circulation pump (Type 741-1 and Type 741-2): overall pump efficiency, 0.6; motor efficiency, 0.9; pressure drop, 50 kPa; motor is mounted within the fluid stream.The circulation pump is controlled by Iterative feedback controller (Type 22-1 and Type 22-2) to provide a 5 • C heat carrier temperature difference between supply and return pipes of the solar collector loop and a 10 • C heat carrier temperature difference between supply and return pipes of the chiller loop.The pipe thermal losses and pipe capacitances were not considered, as they are not relevant to this study.

Auxiliary Fluid Heater
Auxiliary Fluid Heater (Type 138) has the efficiency of 100% (electrical heater).

Absorption Chiller
Solar energy is generated by a system of solar thermal collectors and stored in a thermal energy storage tank.The hot heat carrier from the thermal energy storage is fed to the generator to boil the water vapor from the H 2 O/LiBr solution.The resulting water vapor is then cooled in a condenser before being directed to an evaporator.In the evaporator, the vapor is further cooled and evaporated under lower pressure and temperature conditions.The solution leaving the generator and flowing to the absorber passes through a solution heat exchanger to preheat the weak solution stream entering the generator.In the absorber, the solution absorbs the water vapor flowing from the absorber to the evaporator.An additional heater is provided to raise the temperature of the hot water supplied; if this is not sufficient to operate the generator, the heat transfer medium is heated to the required temperature for the generator.The main advantage of absorption systems is that the amount of electricity to run the system is limited to the solution pump, which, compared to vapor compression systems, does not consume as much electricity for compression.When comparing absorption cycle COP (0.5 to 0.8) [30] to traditional cooling systems, the absorption cycle efficiency optimization becomes significant.Regarding Hot Water-Fired Single-Effect Absorption Chiller (Type 107), COP is defined by external file according to Figure 5. Cooling tower is not presented in the model.It is assumed that the cooling water inlet temperature is 30 • C and the flowrate is 3000 kg/h.Chilled water setpoint is 7 • C. solution heat exchanger to preheat the weak solution stream entering the generator.In the absorber, the solution absorbs the water vapor flowing from the absorber to the evaporator.An additional heater is provided to raise the temperature of the hot water supplied; if this is not sufficient to operate the generator, the heat transfer medium is heated to the required temperature for the generator.The main advantage of absorption systems is that the amount of electricity to run the system is limited to the solution pump, which, compared to vapor compression systems, does not consume as much electricity for compression.When comparing absorption cycle COP (0.5 to 0.8) [30] to traditional cooling systems, the absorption cycle efficiency optimization becomes significant.Regarding Hot Water-Fired Single-Effect Absorption Chiller (Type 107), COP is defined by external file according to Figure 5. Cooling tower is not presented in the model.It is assumed that the cooling water inlet temperature is 30 °C and the flowrate is 3000 kg/h.Chilled water setpoint is 7 °C.Figure 5 illustrates the relationship between the hot water inlet temperature and the COP of the system.It is observed that the COP of the system increases as the water temperature rises.However, it should be noted that water-lithium bromide pair systems are unable to exceed 100 °C due to the issue of crystallization [32].The manufacturer of the machine specifies an ideal COP range of 0.7 to 0.78.This range is supported by the simulation results for the initial conditions mentioned earlier, where the COP is determined to be 0.75 [31].
As depicted in Figure 4, the COP can reach its maximum value of 0.82 by reducing the absorber and condenser temperatures to 30 °C.

Base Load
Base load (see Figure 6) is calculated dynamically based on the sum of the following parameters.Figure 5 illustrates the relationship between the hot water inlet temperature and the COP of the system.It is observed that the COP of the system increases as the water temperature rises.However, it should be noted that water-lithium bromide pair systems are unable to exceed 100 • C due to the issue of crystallization [32].The manufacturer of the machine specifies an ideal COP range of 0.7 to 0.78.This range is supported by the simulation results for the initial conditions mentioned earlier, where the COP is determined to be 0.75 [31].
As depicted in Figure 4, the COP can reach its maximum value of 0.82 by reducing the absorber and condenser temperatures to 30 • C.

Base Load
Base load (see Figure 6) is calculated dynamically based on the sum of the following parameters.

Results
The results presented in this study are based on a 10-day simulation in TRNSYS.The electricity consumption of the auxiliary fluid heater was used as the primary parameter to evaluate the efficiency of the system across various scenarios.
Initially, the optimal setpoint temperature for the auxiliary fluid heater was determined.According to Figure 7, this was found to be between 83 • C and 85 • C. Operating the system with a lower setpoint resulted in a lower COP of the chiller, as shown in Figure 5.However, setting the setpoint higher led to an increase in electricity consumption due to a reduction in tank heat storage capacity and an increase in heat losses.Consequently, a setpoint of 84 • was used for further calculations.The impact of solar collector area on the performance of the system was studied, as shown in Figure 8 (left), under two scenarios: one without PCM in the storage tank, and another with 154 PCM modules.When the solar collector area was small (12 m 2 ), the use of PCM led to a 0.4% increase in electricity consumption.This can be attributed to the fact that the temperature inside the storage tank was mostly below the PCM melting temperature, resulting in a decrease in the total storage capacity due to the lower specific heat capacity of the PCM (2 kJ/kgK) compared to water (4.2 kJ/kgK).However, as the solar collector area was increased, the electricity consumption decreased and the impact of the PCM became more significant.The energy savings achieved through the use of PCM peaked at a solar collector area of 28 m 2 , resulting in a reduction of 6 kWh, which remained relatively stable with further increases in collector area.A solar collector area of 28 m 2 was used for further calculations.
The next task was to assess the effect of cooling loads on the system performance by varying the base load (Figure 5) by a factor of 0.5, 1.5, and 2. The findings are illustrated in Figure 8 (right).The use of PCM was found to have the most pronounced influence at lower cooling loads, while excessively high cooling loads resulted in a 1.0% increase in auxiliary fluid heater electricity consumption, similarly as it happened in case with low numbers of installed solar collectors.Thus, a proper design of the number of collectors based on actual cooling load is essential to optimize system performance.The impact of solar collector area on the performance of the system was studied, as shown in Figure 8 (left), under two scenarios: one without PCM in the storage tank, and another with 154 PCM modules.When the solar collector area was small (12 m 2 ), the use of PCM led to a 0.4% increase in electricity consumption.This can be attributed to the fact that the temperature inside the storage tank was mostly below the PCM melting temperature, resulting in a decrease in the total storage capacity due to the lower specific heat capacity of the PCM (2 kJ/kgK) compared to water (4.2 kJ/kgK).However, as the solar collector area was increased, the electricity consumption decreased and the impact of the PCM became more significant.The energy savings achieved through the use of PCM peaked at a solar collector area of 28 m 2 , resulting in a reduction of 6 kWh, which remained relatively stable with further increases in collector area.A solar collector area of 28 m 2 was used for further calculations.
The next task was to assess the effect of cooling loads on the system performance by varying the base load (Figure 5) by a factor of 0.5, 1.5, and 2. The findings are illustrated in Figure 8 (right).The use of PCM was found to have the most pronounced influence at lower cooling loads, while excessively high cooling loads resulted in a 1.0% increase in auxiliary fluid heater electricity consumption, similarly as it happened in case with low numbers of installed solar collectors.Thus, a proper design of the number of collectors based on actual cooling load is essential to optimize system performance.
PCM became more significant.The energy savings achieved through the use of PCM peaked at a solar collector area of 28 m 2 , resulting in a reduction of 6 kWh, which remained relatively stable with further increases in collector area.A solar collector area of 28 m 2 was used for further calculations.
The next task was to assess the effect of cooling loads on the system performance by varying the base load (Figure 5) by a factor of 0.5, 1.5, and 2. The findings are illustrated in Figure 8 (right).The use of PCM was found to have the most pronounced influence at lower cooling loads, while excessively high cooling loads resulted in a 1.0% increase in auxiliary fluid heater electricity consumption, similarly as it happened in case with low numbers of installed solar collectors.Thus, a proper design of the number of collectors based on actual cooling load is essential to optimize system performance.The regression analysis revealed a linear relationship between the volume of PCM and electricity consumption (see Figure 9).The regression analysis revealed a linear relationship between the volume of PCM and electricity consumption (see Figure 9).Figure 10 illustrates the heat carrier temperature from the storage tank to the auxiliary fluid heater.During periods with sufficient solar energy (19.07-21.07), the heat carrier temperature was slightly lower in the case with PCM modules compared to the case without PCM, resulting in lower heating energy losses in the tank.The main impact of PCM was observed when the weather changed (24.07) and the total cooling load exceeded the amount of produced solar energy.This observation confirms that the PCM effect is significant under fluctuating conditions.Despite this, the heat carrier temperature remained above 90 °C for a longer period of time, resulting in lower electricity usage by the auxiliary fluid heater, as shown in Table 2.  Figure 10 illustrates the heat carrier temperature from the storage tank to the auxiliary fluid heater.During periods with sufficient solar energy (19.07-21.07), the heat carrier temperature was slightly lower in the case with PCM modules compared to the case without PCM, resulting in lower heating energy losses in the tank.The main impact of PCM was observed when the weather changed (24.07) and the total cooling load exceeded the amount of produced solar energy.This observation confirms that the PCM effect is significant under fluctuating conditions.Despite this, the heat carrier temperature remained above 90 • C for a longer period of time, resulting in lower electricity usage by the auxiliary fluid heater, as shown in Table 2. Figure 10 illustrates the heat carrier temperature from the storage tank to the auxiliary fluid heater.During periods with sufficient solar energy (19.07-21.07), the heat carrier temperature was slightly lower in the case with PCM modules compared to the case without PCM, resulting in lower heating energy losses in the tank.The main impact of PCM was observed when the weather changed (24.07) and the total cooling load exceeded the amount of produced solar energy.This observation confirms that the PCM effect is significant under fluctuating conditions.Despite this, the heat carrier temperature remained above 90 °C for a longer period of time, resulting in lower electricity usage by the auxiliary fluid heater, as shown in Table 2.

Discussion
Additionally, to analyze the performance of solar cooling systems in summer season, two simulation cases (P0, L1, S28, T84 and P154, L1, S28, T84) were evaluated for the period between 31.05 and 31.08, with the initial conditions in the tank determined from a simulation of 31.05 (which was excluded from the analysis).During the summer months, the TRNSYS simulation results indicate that 2766 kWh of solar energy was produced, out of which 14.7% was lost as heat from the storage tank.The cooling load was 1945 kWh, and the electricity consumption of the two circulation pumps was 18 kWh.The auxiliary fluid heater electricity consumption was 776 kWh without PCM, while it was 727 kWh with 154 PCM modules.The use of PCM resulted in a 6.2% reduction in auxiliary energy consumption.Moreover, the period of time with heat carrier temperature flow from the storage tank to the auxiliary fluid heater exceeding 90 °C was 27.8% longer with the use of PCM in comparison to that without it.
The utilization of PCM yielded the highest energy savings when the solar collector area reached 28 m 2 , resulting in a reduction of 6 kWh.This energy-saving benefit remained relatively consistent, even with further increases in the collector area.
This work is dedicated only to the design of possible LHTES construction for solar cooling system optimization.The economic issues of the system are outside of the scope of this work, although studies show that some LHTES not only increase the efficiency of the system, but also have a relatively low cost [33,34].The main drawback of this work is the inability to determine the profitability of the proposed system at the moment, as only a system prototype was developed for the time being.However, this aspect will be considered in our next work, when the system prototype will be tested in real conditions.

Discussion
Additionally, to analyze the performance of solar cooling systems in summer season, two simulation cases (P0, L1, S28, T84 and P154, L1, S28, T84) were evaluated for the period between 31.05 and 31.08, with the initial conditions in the tank determined from a simulation of 31.05 (which was excluded from the analysis).During the summer months, the TRNSYS simulation results indicate that 2766 kWh of solar energy was produced, out of which 14.7% was lost as heat from the storage tank.The cooling load was 1945 kWh, and the electricity consumption of the two circulation pumps was 18 kWh.The auxiliary fluid heater electricity consumption was 776 kWh without PCM, while it was 727 kWh with 154 PCM modules.The use of PCM resulted in a 6.2% reduction in auxiliary energy consumption.Moreover, the period of time with heat carrier temperature flow from the storage tank to the auxiliary fluid heater exceeding 90 • C was 27.8% longer with the use of PCM in comparison to that without it.
The utilization of PCM yielded the highest energy savings when the solar collector area reached 28 m 2 , resulting in a reduction of 6 kWh.This energy-saving benefit remained relatively consistent, even with further increases in the collector area.
This work is dedicated only to the design of possible LHTES construction for solar cooling system optimization.The economic issues of the system are outside of the scope of this work, although studies show that some LHTES not only increase the efficiency of the system, but also have a relatively low cost [33,34].The main drawback of this work is the inability to determine the profitability of the proposed system at the moment, as only a system prototype was developed for the time being.However, this aspect will be considered in our next work, when the system prototype will be tested in real conditions.

Conclusions
The developed LHTES construction for solar cooling system was successfully validated in laboratory conditions through experimental data collected during a measurement analysis carried out at the Riga Technical University (RTU) in the framework of project "Latent heat storage for sustainable cooling".
This paper presents and examines the simulation outcomes achieved by this model across different LHTES PCM tank construction-PCM placement in the tank, providing detailed analysis and discussion of the findings.The results are used to optimize the operation of the solar cooling system by integrating LHTES into it.More specifically, the considered solar cooling system with LHTES is simulated for air conditioning for the needs of a small office in Latvia, Riga using experimental data from the solar cooling system laboratory prototype developed by RTU.
As a result of the research, it is concluded that such design LHTES optimization approach (the main effect of PCM) is observed when the weather changes, and the total cooling load exceeds the amount of solar energy produced.The aim of the paper is achieved, namely to determine the impact of LHTES on the performance of an absorption solar cooling system.By studying specific days with different weather conditions in depth, it is determined that the greatest positive impact of the PCM containers is directly under changing weather conditions, when sunny days alternate with cloudy days, which is particularly characteristic of Latvian climatic conditions.A reduction in auxiliary energy consumption is found, which has a positive impact on the EU's climate neutrality ambition.
Closer examination of two types of thermal energy storages-Sensible (without PCM) and Latent (with 154 containers with PCM)-shows that under changing weather conditions (alternating sunny and cloudy days, see Figure 10), the LTHS efficiency and positive impact on the overall system COP increases significantly.
A thorough investigation is conducted on the variances associated with different PCM fill ratios.The maximum fill ratio observed is 35.3% of the tank volume, which equates to 154 PCM containers.However, it is determined that using less PCM than the maximum does not significantly impact the tank temperature and, consequently, the overall system performance.It is concluded that finding a balance between costs and efficiency gains is crucial.
It is found that when the solar collector area is limited to 12 m 2 , the integration of PCM results in a marginal 0.4% increase in electricity consumption.This can be attributed to the fact that the temperature inside the storage tank remains predominantly below the melting temperature of the PCM.However, as the solar collector area is expanded, the electricity consumption progressively decreases, and the influence of the PCM becomes more pronounced.
Changes in weather conditions for Latvia's climate are common due to the influence of the Baltic Sea, which only proves that the proposed LHTES optimization approach can be useful and effective.It is observed that the beneficial effect of PCMs on the efficiency of LHTES occurs on days with variable weather conditions or fluctuating solar energy availability.The effect is less pronounced under prolonged sunny conditions as the temperature in the tank does not fluctuate but remains constant.The studied LHTES solution can be used not only in solar assisted absorption cooling systems, but also when the heat source is wasting heat from various processes.

Figure 1 .
Figure 1.Principle drawing of the studied system.

Figure 1 .
Figure 1.Principle drawing of the studied system.

Figure 1 .
Figure 1.Principle drawing of the studied system.

Figure 2 .
Figure 2. TRNSYS 18 model of Solar Cooling system with PCM thermal energy storage.

Figure 4 .
Figure 4. Phase change material possible placement in the tank, top view.

Figure 4 .
Figure 4. Phase change material possible placement in the tank, top view.

Figure 5 .
Figure 5. Absorption chiller coefficient of performance depending on heat source temperature.Data from [31].

Figure 5 .
Figure 5. Absorption chiller coefficient of performance depending on heat source temperature.Data from [31].

Figure 11
Figure11shows the temperature profile inside the storage tank with a 0.5 m vertical step, where 1 represents the top and 5 represents the bottom of the tank.

Figure 11
Figure11shows the temperature profile inside the storage tank with a 0.5 m vertical step, where 1 represents the top and 5 represents the bottom of the tank.

Table 1 .
Main Type descriptions used for simulation.

Table 1 .
Main Type descriptions used for simulation.