Parametric analysis of solar-assisted trigeneration system based on energy and exergy analyses

Rapid deterioration of environment has led researchers to explore feasible forms of energy which could produce multiple energy forms with minimum inputs. Hence, in this study a novel trigeneration setup is explored so as to achieve simultaneous forms of energy in the form of electrical energy, heating and cooling, driving its primary energy requirements through a solar power tower. Molten salt is used in this study to transfer the heat from the solar component to the vapor absorption apparatus. Further the vapor absorption system is tested for thermodynamic performance for a couple of refrigerants (LiNO 3 -H 2 O and LiBr-H 2 O), so as to establish the Pareto-optimal fluid among them. In order to remove any adherent error in the measuring procedure, all equipment’s uncertainty analysis was performed which was negligibly small approximately at 5.34 % in terms of power plant efficiencies. An exact analysis was performed so as to estimate energy and exergy in efficiencies in the equipment while varying input parameters. Zenith exergy destruction was achieved in 33.6% by the central receiver, followed by 24.9% by heliostat, and 7.8% in heat recovery steam generator. The highest energy and exergy efficiencies (62.6% and 20.6%) are attained on system working on LiBr-H 2 O, whereas (60.9% and 19.6%) were obtained in LiNO 3 -H 2 O operated system.


INTRODUCTION
The last three decades or so have seen gradual growth in the applications of renewable energy for various domains probably due to extensive research and development have led to cost-effective and efficient solutions. Complications such as air pollution, fuel cost and market competitiveness associated with conventional fossil fuels have further weakened their case. Furthermore, increase in population has further depleted the existing reserves of conventional energy, since a surge has been noted as the overall electrical needs on the entire planet [1].
Among many technologies, solar thermal systems have gained considerable appreciation presumably due to the wide range of applications associated with them. This has prompted researchers to develop and examine various parameters responsible for enhancing the overall output of the system, thereby furnishing an alternative to conventional energies. Such systems provide better output when tested at the hottest time of the year [2,3].
The conversion of solar energy into thermal energy is primarily furnished by employing special types of solar collectors such as a flat plate, evacuated tube, parabolic trough, and solar power tower plants [4][5][6]. Among all these solar thermal technologies, solar power tower plants (Heliostat field) technology is quite popular and has been receiving considerable attention due to its sustainable merits of producing power [7]. The thermal heat energy absorbed during the radiation process by the central receiver is further transferred to a circulating fluid usually air, water, Duratherm oil 600, or molten salt, flowing through the collector to the heat recovery steam generator (HRSG) has been established as a potential renewable refrigerant to generate steam in power plants comprehensively [8].
In recent years, several types of research have been carried out to estimate the performance evaluation of the solar-operated cogeneration and trigeneration system from energy and exergy point of view [9,10].
The concept of exergy analysis is broadly based on the "second law of thermodynamics" which is seen as an essential tool to contemplate, identify the magnitudes, and locates the thermodynamic losses thereby pinpointing the locations of imperfection within the system. Exergy analysis shows a user-friendly way to quantify the loss of efficiency in any setup or model which consists of several types of equipment. This loss analysis helps the energy auditors to contemplate the loss summary in the energy quality. In this context, numerous studies have been reported for exergy-based analysis which is applied multiple times to compute and evaluate the exergetic analysis for solar thermal power systems [11,12].
The application of solar thermal energy for power generation is perceived to impracticable since it has a tendency of obtaining low electric efficiency at substantially higher cost per MW [13]. However, in search of continuous pursuit of enhancement, the solar thermal power can be modified to obtain higher efficiency with lower emissions with the aid of solar energy inbuilt-based power plant. In recent times waste heat is often released into the environment without complete utilization of it, thereby resulting in substantial damages to the current environment strategies specified by governments of various countries. To utilize this waste heat based on their potential and thereby alleviating environmental problems, cogeneration, and trigeneration power cycles for solar power generation are receiving considerable attention from researchers of various renewable energy backgrounds [14,15]. Among many popular applications, combined power, heating and cooling cycles, is the vapor absorption refrigeration cycle which is integrated at the exit of the heat user. This cycle utilizes working fluids such as LiNO 3 -H 2 O and LiBr-H 2 O, which have zero ozone depletion potential using solar energy as primary input [16,17]. Therefore, a system that produces combined electrical power, process heat, and cooling simultaneously from a single source of energy supply is known as trigeneration system and has drawn the keen interest of many researchers worldwide. There are several advantages associated with the application of trigeneration systems such as reduced greenhouse gas and emissions, lower cost of fuel, and lower electricity usage during peak winter or summer demand [18,19].
Wang et al. [20] investigated an integrated trigeneration model whose input energy requirements were fulfilled by a flat plate collector. In this study, an optimization tool was employed for parametric evaluation and the power, cooling, and heating productions which were found approximately 6.4 kW, 5.5 kW, and 8.9 kW respectively. Eisavi et al. [21] presented the performance of novel solar-operated combined power, heating, and refrigeration system. In their results, they mentioned that the same amount of heat input, a double effect absorption refrigeration system was used instead of a single effect absorption chiller and obtained a cooling power efficiency of 48.5% and consequently it can also improve the performance of the system. Bamisile et al. [22] investigated a novel renewable energy source of trigeneration system for the simultaneous production of electricity, hot water, and cooling by employing two basic steam cycles, a gas cycle, a hot water chamber, and an absorption cycle. The complete analysis predicted the trigeneration energy and exergy efficiency for the system found to be 64% and 34.51%.
Recently, Dhahad et al. [23] explained that a progressive sustainable era can only be created if proper energy utilization of renewable sources is performed instead of using non-renewable sources. Their results indicated clearly that the system was useful for cooling instead of power generation. They also observed that the energy and exergy efficiencies of the system and the net power of the combined cycle obtained about 41.33%, 27.47%, and 158.3 kW respectively.
Rashidi et al. [24] explained the importance of integrating results of power plant components with ANN and GA. Habibi et al.
[25] investigated a supercritical Brayton cycle combined with the organic Rankine cycle at bottoming that was driven by a molten salt of a solar power tower by using different working fluids for energy and exergy analysis of regenerative cycle. Their results indicated that using an organic Rankine cycle causes all three output parameters to be improved.
The primary objectives of the study are explained by four major objectives: • To develop a solar power tower plant, which employs the heliostat field and central receiver as the concentrator receiver system so as to contemplate the repercussions of the model. • To combine a hybrid power-solar system as a major power supplier for the model setup.
• To evaluate the thermodynamic analysis of the novel setup and further contemplate the total energy and exergy efficiencies of the various sub-systems present in the setup. • To conduct parametric studies by considering various operating parameters and their effect on the energy and exergy efficiencies of the system. • Evaluation of various uncertainties for each component by application of error analysis and its role in the final result. • To study the comparative analysis between two sets of refrigerants LiNO 3 -H 2 O and LiBr-H 2 O in the model setup and further estimate the best possible refrigerant among them. • To study the role of various parameters such as direct normal irradiance (DNI), turbine inlet temperature, turbine inlet pressure, pump inlet temperature, turbine backpressure, COP on generator temperature, and irreversibility in the system on the performance of the model setup.
The properties of solar operated trigeneration system are displayed in Table 1.

SYSTEM DESCRIPTION OF SOLAR OPERATED TRIGENERATION SYSTEM
The proposed system is a solar-operated trigeneration system as depicted in Figure 1 developed by the Energy Equation Solver (EES) software. The molten salt flows through the pipes which transfer the thermal energy from the central receiver to the heat recovery steam generator (HRSG) at state point 1. The superheated steam generated in the HRSG enters the turbine at state 4 where it is expanded to produce mechanical power which is converted into electrical power by the generator coupled to the steam turbine. The reheated steam after the partial expansion is beaded and the intermediate stage for producing the process heat in the heater user at state 5 to complete the Rankine cycle. The exhaust energy transferred from the user heater proceeds to the generator of the vapor-based absorption cycle at state 6. The generator is usually employed to separate the refrigerant (often water) from the mixture of LiNO 3 -H 2 O and LiBr-H 2 O with the help of steam heat. The temperature attained by the solution from heat gain predicts the overall circulation ratio of the system. As the separated refrigerant attains its required temperature usually above 90 o C, it further proceeds to the condenser of the system positioned as 9. Thereby it glides into the evaporator positioned at 11 which is subsequently boiled at a predefined temperature. The refrigerant leaves the evaporator at a saturated-based point at 12. This saturated state refrigerant then proceeds into the absorber, where it amalgamates with the previous weak solution at point 18 as shown in Figure 1. Due to the above operation, superheated heat is generated thereby enhancing the overall mixing efficiency of the system. The strong solution is pumped at high pressure position (SHE) at state 14 which results in the previous mixing attained within the system. This solution is further heated at the desired much higher temperature by utilizing a counter pass heat exchanger resulting in a subsequent weak solution positioned at 16. Furthermore, the cooled weak solution is expanded that eventually leads low pressure based weak solution by the application of throttling device, often throttling to be positioned at 18 back to the absorber. Primary assumption of the study is that a simulated based power plant cycle is made by combining several equipments in EES design software. Henceforth, the cycle is completed, if all the above connections remain intact.

Analysis
The following assumptions were assumed in a cycle for exergy analysis: • The model setups energy and exergy-based evaluation was performed during the charging phase (morning to afternoon) and discharging phase (evening tonight) for winter and summer seasons on a separate basis. • The complete setup is assumed to work on a steady state with complete solar insulation. • The atmospheric temperature and pressure T 0 and P 0 are assumed to be 20 o C and 1.01325 bar, respectively. • The pressure drop and ambient heat loss within various components of the setup were assumed to be insignificant and hence not taken in the overall analysis. • Any subsequent changes in kinetic and potential energies within the setup were not taken into consideration. • Any chemical exergy within the fuel application is neglected. • Power consumption by the heat transfer fluid-basedpump is not considered in the analysis.

Error Estimation
The total percentage of uncertainty is determined in this study by applying the Holemans principle which is an exceptional tool in the estimation of any inherent device error present as evident from previous research [26]. Table  2 displays the errors that might be encountered while measuring various parameters in the proposed cycle.

MATHEMATICAL MODELING
The mathematical model primarily includes a thermodynamic-based analysis of the solar-operated trigeneration system which is essentially performed by employing the basic concept of a cascade. This concept aids in the evaluation of the energy and exergy methods where mass, energy, and exergy balances are written for each component. These equations later aid in searching for the exact location in the cycle whereas local irreversibilities are the highest, thereby pinpointing the main source of thermodynamic inefficiencies in the entire system.

For Heliostat
The primary function of the several stacked up heliostat field is to direct and further concentrate any incoming photonic radiations (reflects direct solar irradiations) onto the central receiver that can be expressed as: (1) where q is the number of solar radiations per unit area which may also be called direct normal irradiations (DNI) and A field is specified as the area of heliostat field which is related to the aperture area (A pp ) in terms of concentration ratio expressed as: Often the substantial amount of solar energy is efficiently utilized by the solar apparatus but some amount may be inherently lost within the environment, thereby as presented in the given equation: The energy efficiency of heliostat may be defined as: (4)

For Central Receiver (CR)
Apart from thermal energy received by the central receiver is absorbed by molten salt and the remaining is where Q ̇P is known as the rate of heat supplied from the plant for space heating and Q ̇E is energy cooling.
The net electrical power obtained from the cycle is expressed below while taking the efficiency of generation into considered: where ƞ gen is the electrical generation efficiency. The trigeneration based plant employed to procure power and thermal energy simultaneously, the energy-based efficiency can be stipulated to be a ratio of work obtained to the initial energy input in the system: (8) where Q ̇P is known as the rate of heat supplied from the plant fo space heating and Q ̇E is energy cooling.
The trigeneration exergy efficiency may be calculated as: where and where E ̇E is exergy cooling, and T e is evaporative cooling temperature The energy and exergy balance equations of each component for the solar-operated trigeneration system are given in Table 3 and Table 4.

The Proposed Trigeneration System
The present research is implemented to ascertain the effects of various influencing parameters like; DNI for different working fluids employed in vapor absorption refrigeration systems (VARs), turbine inlet temperature, turbine inlet pressure, pump inlet temperature (P 2 ), Heat Exchanger turbine backpressure on the energy and exergy efficiencies. Furthermore, the analysis also involves estimates of the irreversibility of individual components of the cycle that leads to possible implementations applied in performance enhancement of solar-operated trigeneration systems. The gradual increments in DNI the energy and exergy efficiencies of two different working fluids (LiNO 3 -H 2 O and LiBr-H 2 O) of the trigeneration system are displayed in Figure 2. and Figure 3. A marginal gain in both the efficiencies of the system was observed after a considerable increase in the DNI was provided between 600 W/m 2 to 1000 W/m 2 for both the working fluids. The foremost reason furnished for this trend is that a DNI is related to the surface temperature of a receiver and a larger increase in DNI, results in the marginal increase of receiver surface temperature. Therefore, both energy and exergy efficiencies of the proposed trigeneration system are marginally increased when the DNI increases largely. From the computed results it is further observed that the exergy efficiency of a trigeneration system is much lesser than the energy efficiency. This   is because the amount of exergy associated with the thermal energy of the receiver is less than its energy content; therefore, an increase in the exergy efficiency of the integrated system is much smaller than the increase in its energy efficiency. It is further perceived that both the efficiencies of LiBr-H 2 O are marginally more than the LiNO 3 -H 2 O solution since inherently the absorption heat rates of LiBr-H 2 O are much more than the LiNO 3 -H 2 O respectively [27]. Figure 4 shows that the variation of turbine inlet temperature on energy and exergy efficiencies observed that as an increase in turbine inlet temperature occurs, a subsequent rise in energy and exergy efficiencies of the overall trigeneration system occurred. The reason for the increase in the trend of both the efficiencies is that an evident rise in turbine inlet temperature interprets that while increasing the temperature both the heat input and power output would simultaneously increase. Besides, according to Figure 4, the exergy efficiency is less as compared to energy efficiency as a result of a rise in turbine inlet temperature [13]. Figure 5 shows the effect of variation of turbine inlet pressure on energy and exergy efficiencies of the proposed trigeneration system for simultaneous production of power, heating, and cooling. It is observed that the energy efficiency is increased notably with a subsequent increase in turbine inlet pressure, whereas the exergy efficiency of a cycle decreases slightly with the same pressure. The primary reason for increasing can be attributed as the turbine inlet pressure causes an increase in refrigeration output of the absorption refrigeration and a reduction in refrigeration output of the proposed cycle as a result, the overall energy efficiency of the trigeneration system increases with the increase in turbine inlet pressure. Further, exergy efficiency decreases barely as the turbine inlet pressure increases, this is because the rate of increase in exergy output of absorption refrigeration is greater than the rate of decrease in exergy output of cycle that becomes greater than the rate of increase in exergy output of absorption refrigeration caused by a reduced mass flow rate of working fluids across the turbine [28,29]. Figure 6 indicates the variation of the mass flow rate of molten salt and steam on DNI. It is observed that the mass flow rate of steam as well as the mass flow rate of molten salt increases as the values of DNI increase. This is due to the reason, increases in DNI causes a considerable increase in the mass flow rate of heat transfer fluid (molten salt) which in turn increases the mass flow rate of working fluid (steam) as it seen after applying the energy balance approach over the heat recovery steam generator (HRSG). Figure 7 shows the effect of pump inlet temperature (P 2 ) variation on the trigeneration system on energy and exergy performance considering the solar mode. It is seen that both the efficiencies were seen to increase marginally. This is due to an increase in the temperature; the overall energy   efficiency of the trigeneration system is seen to increase slightly along with increases in its exergy efficiency. It is further shown that the rise in pump inlet temperature from 90 o C to 110 o C compromises the energy and exergy efficiencies by less than a percent. These enhancements in energy and exergy efficiencies of the trigeneration system occur due to the reason an increase in pump inlet temperature which reduces the amount of heat required at the generator of vapor absorption refrigeration system and increased the cooling effect. This enhances the overall performance of the system. Figure 8 shows the change in turbine back pressure on the variations of energy and exergy efficiencies of a trigeneration system. It has been observed that the energy efficiency of the trigeneration cycle decreases with a subsequent increase in turbine backpressure. It was further seen that a rise in turbine back pressure from 0.06 bar to 0.14 bar causes a substantial decrease in the energy and exergy efficiencies for a trigeneration system from 34.9 % to 34.2% and 31.8% to 30.3%. The energy and exergy output of the proposed trigeneration system combines with the change of DNI investigated and displayed in Figure 10. It has been observed that the energy output enhances considerably with a change in DNI from 600 W/m 2 to 1000 W/m 2 were increasing from 3800 kW to 6800 kW. This increasing trend is due to the reason that process heat output increases significantly as the DNI is gradually incremented over the specified range. The same increasing trends of exergy output were obtained with the change of DNI but it is much less than its corresponding energy output. This deviation is observed due to the reason the exergy accompanied by process heat and the    cooling output is significantly less than their corresponding energy output since the magnitude of electrical power which gives 100% of exergy is increasing at a lower rate than the increase of their exergy associated with process heat and cooling, therefore the overall exergy output is increasing but its magnitude at all values of DNI is significantly less than the overall exergy cycle of output. Figure 11 presents the percentage of exergy destruction in each component to find out the system feasible. In the proposed trigeneration system out of 100% exergy of the cycle, a sum of 23.9% was produced as exergetic output consisting of 16.96% turbine power, and 6.94% accompanied by process heat. It is further observed that the highest exergy destruction occurs in a central receiver which is around 33.6%. The next largest exergy destruction was observed in components such as heliostat (24.9%), HRSG (7.8%), user heat (7.2 %), and turbine (1.2%). Less than 1% of exergy destructions were observed in the rest of the components of the cycle. The overall plant generation capacity was evaluated at various DNI as displayed in the Table below. Table 5 shows the temperature and pressure at various state points.

CONCLUSIONS
The steam turbine-based trigeneration system running on solar thermal energy furnishes an exceptional model for sustainable energy transformation. This is possible through the efficient and eco-friendly utilization of abundantly available solar energy into multiple outputs of energy like power, heating, and cooling. An instrument-based error analysis predicted an error percentage of 5.83 % thereby providing accurate results. The enhancement in the performance of an energy conversion system has been evaluated after changing its mode from power generation to heating and cooling for the trigeneration system. Some of the important conclusions drawn from the energy and exergy point of view of the proposed trigeneration system may be summarized as below: • A slight rise in the energy and exergy efficiencies was observed after a considerable increase in the value of DNI from 600 W/m 2 to 1000 W/m 2 for both the working fluids (LiNO 3 -H 2 O and LiBr-H 2 O).  Energy efficiency of a trigeneration system ƞ ex,tri Exergy efficiency of a trigeneration system ƞ energy,heliostat Energy efficiency of heliostat ƞ gen Electrical efficiency a-h, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] State points of a trigeneration system

AUTHORSHIP CONTRIBUTIONS
Authors equally contributed to this work.

DATA AVAILABILITY STATEMENT
The authors confirm that the data that supports the findings of this study are available within the article. Raw data that support the finding of this study are available from the corresponding author, upon reasonable request.

CONFLICT OF INTEREST
The author declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

ETHICS
There are no ethical issues with the publication of this manuscript.