Energetic and Economic Analyses of an LCPV / T Solar Hybrid Plant for a Sports Center Building in Mexico

: This study presents a techno-economic performance evaluation of a hybrid low-concentrating photovoltaic / thermal (LCPV / T) plant, which operates in a student sports and wellness center building situated at a university campus in Mexico. The solar plant comprises 144 LCPV / T collectors based on a hybridized version of a local parabolic trough technology. Dynamic thermal and electrical performance analyses were performed in the TRNSYS simulation studio. The results showed that the solar ﬁeld could cover up to 72% of the hot water demand of the building during the summer season and 24% during the winter season. The hybrid system could annually save 7185 USD, accounting for heat (natural gas boiler) and electricity generation. However, the payback time was of 19.23 years, which was mainly attributed to a reduced natural gas price in Monterrey, Mexico. A new approach to evaluating the equivalent levelized cost of heat ( LCOH eq ), is proposed. This results in an LCOH eq of 0.065 USD / kWh, which is nearly equivalent to the LCOH of a natural gas-ﬁred boiler (0.067 USD / kWh). Finally, the hybrid plant could achieve a speciﬁc CO 2 e emission reduction of 77.87 kg CO 2 e per square meter of the required installation area. This study presents a techno–economic performance evaluation of an LCPV / T plant for a student sport and wellness center building situated in Monterrey, Mexico. The proposed collectors are hybridized versions of a local parabolic trough technology. The plant was dynamically evaluated under the TRNSYS 18 environment (Thermal Energy System Specialists, Madison, WI, USA), by using a component (type 55F) modiﬁed by the authors to include the incidence-angle e ﬀ ect on the hybrid collector. The thermal and electrical energy yields of the plant are evaluated, along with other operational variables, including the thermal and electrical peak power and temperature proﬁles. An economic of following: ﬁnal due Contributions: All authors conducted this study. Conceptualization, Methodology, I.A.-P., C.R.-S. M.G.R.; investigation, and C.I.-R.; data curation, I.A.-P. and M.G.-R.; writing—original draft preparation, I.A.-P., C.R.-S. and M.G.-R.; writing—review and editing, I.A.-P., C.R.-S. and M.G.-R.; supervision, C.R.-S. and M.G.-R.; project administration, C.R.-S. and M.G.-R.; C.R.-S.


Introduction
Globally, buildings account for almost half of the final energy consumption, which is mainly associated with fossil fuels. Solar energy is a vast and renewable primary energy source that can effectively and efficiently produce the electrical and thermal energies consumed by buildings. Hybrid solar photovoltaic/thermal (PV/T) collectors can simultaneously produce thermal and electrical energies, thereby reducing the area required for installation in comparison to stand-alone photovoltaics and thermal collectors. This characteristic is particularly convenient for buildings because of the limited roof area and energy consumption profile (both thermal and electrical).
Several studies were conducted to evaluate the performance of PV/T plants considering their applications in buildings. For instance, Sotehi et al. [1] presented a theoretical approach of a net zero energy building using hybrid PV/T solar collectors in Ouargla City. They found that the PV/T collectors can cover both the hot water and the electrical annual demand of the building.
Fuentes et al. [2] conducted an experimental evaluation between hybrid PV/T and simple PV systems intended for building integrated PV systems. They concluded that the PV/T system did not achieve higher electrical efficiencies than those of a simple PV, as was expected, because of the active cooling mechanism. Yang et al. [3] simulated a low-concentrating PV/T system for hot water, power, and cooling production. The hybrid system could generate hot water (between 45 and 90 • C), with an Energies 2020, 13, 5681 2 of 17 electrical efficiency of 10%, and a coefficient of performance (COP) above 0.5 for the lithium-bromide absorption chiller.
Herrando et al. [4] evaluated a 1.68 MWp solar combined cooling, heating, and power system based on hybrid PV/T collectors for a University Campus in Bari, Italy. The hybrid plant could meet 20.9%, 55.1%, and 16.3% of the space-heating, cooling, and electrical demands of the campus. The payback time (PBT) obtained was 16.7 years. The energy yield of a solar-based combined heat and power system (S-CHP) based on PV/T collectors was observed to be higher than those of other conventional solar systems including PV panels and evacuated tube collectors, in a sports center building in Italy. The PV/T plant could cover 82.3% and 51.3% of the electricity and thermal demand of the building, respectively [5].
The integration of a PV/T plant into a smart building in Sweden was theoretically evaluated and optimized by Behzadi et al. [6]. The PV/T system achieved a cost reduction of 16.7 EUR/MWh in electricity and 7.7 EUR/MWh in heat. Brottier et al. [7] studied the thermal performances of small-sized PV/T systems for residential buildings in Western Europe. They observed that the PV/T technology was well suited for residential applications owing to its potential to achieve a high solar fraction regarding hot water consumption. PV/T collectors, as parts of a trigeneration system for zero energy buildings in Moscow, Stuttgart, and Dubai, were theoretically evaluated by Braun et al. [8]. They observed that PV/T systems offered an economic advantage in office buildings where heating, cooling, and electricity were needed. They further identified that in countries with a lack of incentives for renewable energy projects, specific energy generation costs heavily depended on the electricity tariffs of the location. Additionally, optimization methods to adapt to the fluctuations of the dynamic loads in buildings and to reduce the impact in PV/T collectors were developed in the literature [9].
The combination of heat pumps and PV/T collectors for heat and power generation in buildings could be one of the widely studied applications of hybrid solar systems in the literature. Obalanlege et al. [10] evaluated the effect of solar irradiation intensity, tank volume, and solar field flow rate on the performance of a hybrid PV/T and heat pump system in residential homes. They indicated that the design of such systems should consider geographic location because of the variability in meteorological parameters. Amo et al. [11] observed that the performance of a water-water solar-assisted heat pump in a university building located at Zaragoza (Spain) could be enhanced upon the integration of PV/T collectors and seasonal storage. Moreover, the electricity produced by the PV/T collectors could cover the heat pump consumption. Besides, PVT collectors are feasible and rewarding solutions for off-grid applications [12], indicating the versatility of the PV/T technology. Finally, the PV/T collector technology can be easily integrated into buildings by following different installation alternatives that can harmonically coexist with the architecture of the building and natural elements, as studied in [13].
The literature review shows that the techno-economic performance of PV/T systems strongly depends on the local parameters and conditions including meteorological variables, energy tariffs, and local technology availability. Furthermore, most studies on PV/T plants for building applications have been performed mainly in Europe and Asia, considering non-concentrating PV/T collectors, as most of the hybrid solar technologies are being developed and produced in these regions only. There is a lack of information and knowledge regarding the potential of PV/T technologies in Latin America although the expected maximum increase in the energy consumption of buildings is in emerging economies [14]. One of the main facilitators for the deployment of renewable-energy-based systems is the availability of local technologies. Unfortunately, in developing countries like Mexico, the lack of state-of-the-art hybrid solar technology hampers the adoption of clean energy systems, which could be used to efficiently harvest the vast solar resource available in these territories. Nevertheless, of the top 10 solar thermal suppliers/manufacturers in the world, two are from Mexico [15]. This indicates a great opportunity to develop the local PV/T technology in these countries, given the fact that most market-available PV/T systems in these countries are hybridized solar thermal collectors or PV panels. This study presents a techno-economic performance evaluation of an LCPV/T plant for a student sport and wellness center building situated in Monterrey, Mexico. The proposed collectors are hybridized versions of a local parabolic trough technology. The plant was dynamically evaluated under the TRNSYS 18 environment (Thermal Energy System Specialists, Madison, WI, USA), by using a component (type 55F) modified by the authors to include the incidence-angle effect on the hybrid collector. The thermal and electrical energy yields of the plant are evaluated, along with other operational variables, including the thermal and electrical peak power and temperature profiles. An economic evaluation of the solar hybrid plant is conducted by estimating the following: final cost of the system, lifecycle costs due to reduced fuel and electricity consumption, and PBT of the investment. Additionally, the levelized cost of heat and electricity is determined and compared with that of the conventional energy production (natural gas boiler and electricity consumption). Moreover, the environmental impact due to the displacement of natural gas and electricity is evaluated in terms of CO 2 e emission reduction.
This article contributes to the field of solar technologies by presenting the techno-economic performance of a novel locally developed LCPV/T collector in a Latin American country, where no previous studies were presented in the literature. The hybrid technology hereby studied was designed, built, characterized, and tested by our research group with a collaboration with a local manufacturer. The results of this paper give valuable insights, first to the local manufacturer to evaluate a possible hybridization of its solar thermal technology, and second to local policymakers. This can lead to the development of currently lacking local incentives and public policies, and to allocate investments that may encourage the adoption of this technology in Mexico, as it has been successfully adopted in Europe and Asia.

Transient Energy Modeling
The LCPV/T plant was evaluated under the TRNSYS software environment. The hybrid plant comprised 144 hybrid collectors, i.e., 12 rows each with 12 collectors, which covered a total roof area of 1281 m 2 . The hybrid collectors were based on a small-sized parabolic trough with a triangular receptor that had c-Si back-contact solar cells attached on the receiver sides that collected concentrated sunlight. The hot water produced by the plant will be used to cover the following part of the thermal demands of the building, i.e., domestic hot water (DHW), and pool heating. The electrical production, however, was only considered an additional energy input to the building electricity consumption, which will be accounted for by monetary and environmental gains. A simplified process diagram of the simulated system is shown in Figure 1. Energy plus weather files were used to simulate a typical meteorological year for the studied location.
Energies 2020, 13, x FOR PEER REVIEW 3 of 17 hybridized versions of a local parabolic trough technology. The plant was dynamically evaluated under the TRNSYS 18 environment (Thermal Energy System Specialists, Madison, WI, USA), by using a component (type 55F) modified by the authors to include the incidence-angle effect on the hybrid collector. The thermal and electrical energy yields of the plant are evaluated, along with other operational variables, including the thermal and electrical peak power and temperature profiles. An economic evaluation of the solar hybrid plant is conducted by estimating the following: final cost of the system, lifecycle costs due to reduced fuel and electricity consumption, and PBT of the investment. Additionally, the levelized cost of heat and electricity is determined and compared with that of the conventional energy production (natural gas boiler and electricity consumption). Moreover, the environmental impact due to the displacement of natural gas and electricity is evaluated in terms of CO2e emission reduction. This article contributes to the field of solar technologies by presenting the techno-economic performance of a novel locally developed LCPV/T collector in a Latin American country, where no previous studies were presented in the literature. The hybrid technology hereby studied was designed, built, characterized, and tested by our research group with a collaboration with a local manufacturer. The results of this paper give valuable insights, first to the local manufacturer to evaluate a possible hybridization of its solar thermal technology, and second to local policymakers. This can lead to the development of currently lacking local incentives and public policies, and to allocate investments that may encourage the adoption of this technology in Mexico, as it has been successfully adopted in Europe and Asia.

Transient Energy Modeling
The LCPV/T plant was evaluated under the TRNSYS software environment. The hybrid plant comprised 144 hybrid collectors, i.e., 12 rows each with 12 collectors, which covered a total roof area of 1281 m 2 . The hybrid collectors were based on a small-sized parabolic trough with a triangular receptor that had c-Si back-contact solar cells attached on the receiver sides that collected concentrated sunlight. The hot water produced by the plant will be used to cover the following part of the thermal demands of the building, i.e., domestic hot water (DHW), and pool heating. The electrical production, however, was only considered an additional energy input to the building electricity consumption, which will be accounted for by monetary and environmental gains. A simplified process diagram of the simulated system is shown in Figure 1. Energy plus weather files were used to simulate a typical meteorological year for the studied location. The hybrid collector was modeled using a modified version of Type 50f, which considered an incidence-angle modifier of the system. Type 50f is a component developed to model concentrating  The hybrid collector was modeled using a modified version of Type 50f, which considered an incidence-angle modifier of the system. Type 50f is a component developed to model concentrating hybrid solar collectors for cases wherein the thermal losses depend on the wind velocity and collector temperature. As we proposed in this study, Type 50f was modified to include the incidence-angle modifier of the system, K(θ), to model the concentrating collector. Moreover, the thermal performance parameters, including the contact resistance R c between PV cells and absorber, heat-transfer coefficient U Abs Fluid between the duct and heat-transfer fluid, and heat-transfer coefficient U L for the thermal losses of the collector, were obtained using a one-dimensional steady-state model of the hybrid collector; the model was previously developed and fully validated on experimental data by [16]. The thermal and electric performances of the hybrid LCPV/T collector were calculated using the principal Equations (1)- (6). The most relevant inputs of the simulation model are presented in Table 1.
Collector heat removal factor [18] Collector efficiency factor [17] Heat loss coefficient [17] Incidence-angle modifier [19] Electric output [18] where T i denotes the intermediate temperature, which is the average of the inlet and outlet water temperatures. The parameter b o , which shapes the curvature of the function presented in Equation (5), was taken from [20]. The total annual heat and electricity productions of the hybrid solar plant are calculated using the following relations.
Thermal energy yield Electrical energy yield The main assumptions and considerations for modeling the proposed hybrid solar collector under steady-state conditions are thermodynamic equilibrium, uniform distribution of concentrated solar radiation in the solar cells, constant surface heat flux, and constant material properties. However, Energies 2020, 13, 5681 5 of 17 dynamic modeling considers that the PV modules work at the maximum power point and use a constant daily thermal load profile throughout the year.

Economic and Environmental Analyses
The first year monetary savings due to the onsite generation of energy, both thermal (Q LCPVT ) and electrical (E LCPVT ), were calculated using Equations (9)- (14). For the thermal part, the calculation was based on obtaining the amount of fuel (F V ) needed to produce the same amount of heat that the hybrid solar plant generates. The efficiency considered for the fuel-fired boiler was η b = 60%, which is the average efficiency of a low-load natural gas boiler [23]. To calculate the monetary savings (C f ) associated with the displacement of natural gas, the local price (FP) of natural gas was considered (see Table 1). For electricity generation savings (C E ), the average efficiency of DC-AC conversion (η e = 95%) and local tariff (EP) for commercial electricity service were considered. The total annual cost savings (C s ) were calculated using Equation (14). The operational and maintenance cost (C O&M ) of the solar hybrid plant was considered to be 10% of the total costs of the components.
The total hybrid plant cost (C o ) was computed using Equation (15) [24]. The term C A corresponds to the area dependent costs (parabolic trough collectors, hybrid receivers, hydraulic system, storage tank, and installation costs), while C I resembles the costs that are independent of the area of the solar Energies 2020, 13, 5681 6 of 17 plant (pumping controller). The relations presented in Table 2 were used to estimate the costs of the components (parabolic trough collectors, storage tank, and hydraulic system), which were obtained from a local solar thermal retailer.
The economic performance of the solar hybrid plant was evaluated using the parameters, namely, PBT and life cycle cost (LCC). PBT is the time required for the cumulative savings to match the total investment. LCC is the integration of all the costs associated with the installation of a plant during its lifetime considering the time value of money [24,25]. The PBT and LCC of the plant were calculated considering an average inflation rate i F of 10% (average inflation rates of natural gas and electricity tariffs in Mexico), a local discount rate (d) of 5% (average from 2005 to 2020 [26]), and a plant lifespan of 25 years [27]. The cash flow for each year was independently calculated for the fuel and electricity cost savings, taking into account the time value of money. Both the economic parameters of the hybrid plant were calculated using Equations (16) and (17) [24]. Additionally, the energetics price ratio C e /C f , which represents the quotient between the electricity price (USD/kWh) and natural gas price (USD/kWh), was used to perform a sensitivity analysis of the PBT and LCC of the plant. This allows to extend the possible economic performance of the plant considering different energetics prices in Mexico. The levelized cost of energy is the net present value of the unit-cost of energy over the plant lifetime [29]. This parameter was calculated considering two approaches. The first was the approach presented by Wang et al. [5] for the equivalent levelized cost of electricity (LCOE eq ). The second one is a self-proposed method for determining the equivalent levelized cost of heat (LCOH eq ). The scope was to compare both the methodologies for analyzing its outcomes. The LCOE eq value was calculated using Equation (18), considering the following assumptions: • The term E eq denotes the annual equivalent electricity produced by the hybrid plant considering the conversion factor from heat to electricity to be 0.55 [5]; • A commercial electricity price inflation rate i elect of 8%, (average in Mexico [22]); • A local discount rate d of 5% (reported by the National Bank of Mexico); • An electricity production annual derate D of 1%.
The LCOH eq value was calculated using Equation (19) with the following assumptions: • A local discount rate d of 5% (reported by the National Bank of Mexico); • A thermal energy production annual derate D of 1%.
The initial investment C 0 remains the same for both the parameters, as the systems are intrinsically connected and their operations depend on each other.
Additionally, the levelized cost of heat (LCOH) and levelized cost of electricity (LCOE) values for conventional heat and power generation are calculated and compared with the values obtained for the hybrid plant. For the conventional natural gas boiler, an initial investment of 29,000 USD, annual maintenance cost of 10% from the operational cost of the boiler, and annual derate of energy (D) production of 2% were considered [23]. The operational cost of the boiler was calculated using Equations (9) and (10) considering the price of natural gas. For electricity consumption, no initial investment cost and an annual derate D of 1% are considered.
Finally, to assess the CO 2 e emission abatement potential of the proposed plant, the local emission factors for natural gas combustion and electricity generation were considered. Emission factors of 0.2 and 0.45 kgCO 2 e/kWh were considered for natural gas combustion and electricity generation, respectively [32]. The total fuel energy Q F (see Equation (9)) was used to calculate the CO 2 e emissions due to natural gas combustion, and the total electricity production E (see Equation (11)) was used to calculate the CO 2 e emissions related to power generation.

Results and Discussion
The results presented in this section must be interpreted considering the following limitations. The LCPV/T technology evaluated in this study corresponds to a particular design based on a small-sized parabolic trough which receptor has been replaced for a triangular duct with c-Si solar cells in the sides that receive concentrated direct normal irradiance (DNI). The proposed plant was dynamically evaluated through simulation considering the meteorological data of Monterrey, Mexico. This should be decided whether the study is meant to be further extended to other locations, as this could affect the overall performance of the hybrid plant.
Additionally, the economic performance of the hybrid solar plant takes into account several geographically dependent assumptions, such as the average inflation rate of fuel and electricity prices, discount rate, and technology and installation costs, in Mexico. These parameters directly affect the metrics chosen to evaluate the economic performance of the plant. Hence, these assumptions should be revised if the methodology presented in this study is meant to be used to evaluate a hybrid solar system in different locations under intrinsically different conditions (economic and meteorological).

Technical Performance
The monthly thermal and electric yields and the solar fraction of the hybrid LCPV/T plant are shown in Figure 2. Evidently, the proposed solar plant can achieve a solar fraction as high as 72% during the summer season. Conversely, during the winter, the hybrid plant supplied 24% of the building's hot water demand, which is higher in the winter season because of the reduced temperature of the mains water. The term Q load represents the total hot water demand for a specified period (monthly or annually). The term Q useful denotes the thermal energy produced by the hybrid solar plant that can be consumed by the building. The term Q aux denotes the heat produced by the auxiliary natural gas-fired boiler to cover the total hot water demand of the building when needed. The term E useful denotes the electricity produced by the hybrid plant, and it (on average) represents nearly 18% of the heat production of the system.  Figure 3 shows the annual energy yield of the solar field. The hybrid plant produced 47% of the annual hot water demand of the studied building. Moreover, additional 44 MWh electricity was produced. This represents an important gain that will reduce the grid electricity consumption of the building, hence resulting in additional monetary savings and reduced CO2e emissions, as detailed in the next section. Considering the total area required for the installation of the hybrid plant, the specific thermal and electric productions achieved by the hybrid plant are 189.15 and 34.34 kWh/m 2 , respectively. Regarding the hot water temperature produced by the solar hybrid field, the dynamic temperatures of the hybrid plant for the typical summer (23-29 July) and winter (24)(25)(26)(27)(28)(29)(30) weeks are shown in Figure 4. The maximum water outlet temperature of the hybrid plant during the summer weeks can reach up to 5 °C, while it is ~38 °C during the winter weeks. The variation in the water outlet temperature between seasons is attributed to, apart from the intrinsic dependence on meteorological parameters including DNI and ambient temperature, the increase in the thermal demand of the building. As shown in Figure 5, the heat demand of the building during the winter season reaches 155.4 kW, which is 48.9% higher than the hot water consumption during the summer    Regarding the hot water temperature produced by the solar hybrid field, the dynamic temperatures of the hybrid plant for the typical summer (23-29 July) and winter (24)(25)(26)(27)(28)(29)(30) weeks are shown in Figure 4. The maximum water outlet temperature of the hybrid plant during the summer weeks can reach up to 5 °C, while it is ~38 °C during the winter weeks. The variation in the water outlet temperature between seasons is attributed to, apart from the intrinsic dependence on meteorological parameters including DNI and ambient temperature, the increase in the thermal demand of the building. As shown in Figure 5, the heat demand of the building during the winter season reaches 155.4 kW, which is 48.9% higher than the hot water consumption during the summer (104.4 kW). As shown in Figure 4, the maximum solar cell temperatures recorded in the winter and  Regarding the hot water temperature produced by the solar hybrid field, the dynamic temperatures of the hybrid plant for the typical summer (23-29 July) and winter (24)(25)(26)(27)(28)(29)(30) weeks are shown in Figure 4. The maximum water outlet temperature of the hybrid plant during the summer weeks can reach up to 5 • C, while it is~38 • C during the winter weeks. The variation in the water outlet temperature between seasons is attributed to, apart from the intrinsic dependence on meteorological Energies 2020, 13, 5681 9 of 17 parameters including DNI and ambient temperature, the increase in the thermal demand of the building. As shown in Figure 5, the heat demand of the building during the winter season reaches 155.4 kW, which is 48.9% higher than the hot water consumption during the summer (104.4 kW). As shown in Figure 4, the maximum solar cell temperatures recorded in the winter and summer were 48.3 • C and 70.8 • C, respectively.
A high thermal storage capacity ensures that the water outlet temperatures from the solar field remain relatively low, even during high solar resource days. This is particularly important to keep the temperature of the hybrid collectors sufficiently low to preserve electricity production. The physics of LCPV/T collectors, such as the one evaluated in this study, indicates that the electric and thermal systems of the collector are thermally coupled. This means that an increase in the receptor temperature will raise the temperature in the PV module, hence reducing the solar energy to electricity conversion.
Another relevant operational characteristic that helps in maintaining the temperature of the hybrid receptor within acceptable ranges is a constant hot water demand, which is common in sport and wellness buildings, where the hot water demand is relatively constant throughout the year, owing to the consumption of hot water for pool heating, showers, and faucets. Nevertheless, during the summer season, another design and operational alternatives should be addressed to maintain the temperature of the PV cells within acceptable ranges. This will result in an increase in the electricity production, extending the lifetimes of the PV modules. The design improvements that could be addressed are as follows: (1) the spectral splitting technology to decouple the PV modules from the heat production system, and (2) using suspended nanoparticle fluids to increase the heat transfer between the solar cells and heat-transfer fluid.  A high thermal storage capacity ensures that the water outlet temperatures from the solar field remain relatively low, even during high solar resource days. This is particularly important to keep the temperature of the hybrid collectors sufficiently low to preserve electricity production. The physics of LCPV/T collectors, such as the one evaluated in this study, indicates that the electric and thermal systems of the collector are thermally coupled. This means that an increase in the receptor temperature will raise the temperature in the PV module, hence reducing the solar energy to the parabolic trough concentrator when the thermal demand is not sufficiently high to maintain the temperature of the solar cells within acceptable limits. However, this will entail a reduction in the energy production of the hybrid plant by reducing its availability or capacity factor. Finally, as shown in Figure 5, the highest recorded values of the thermal and electrical powers during a typical summer day were 148.9 and 29.1 kW, respectively. For the winter season, the thermal and electrical peak values obtained were 131.5 and 21.79 kW, respectively.

Economic and Environmental Performances
The total initial cost of the hybrid plant was estimated to be 210,889 USD, considering a fraction of 0.2 from the cost of the parabolic trough reflector as the cost of the hybrid receptor. The total cost of the hybridized parabolic trough collectors was 123,206 USD, which represents an individual collector cost of 855.6 USD. This results in a total hybrid receptor cost of 142 USD per collector, which is a reference that the manufacturer can consider for establishing the final cost of the hybrid parabolic trough to achieve the economic parameters presented in this study.
If the total installation cost (workforce, materials, and inverters) of the solar hybrid plant is considered (35,055 USD), and knowing that each hybrid receptor has a 245 Wp PV module capacity, the specific electric capacity cost becomes 1.78 USD/W. If the total installation cost of the hybrid plant is replaced by only the installation costs of the hybrid receptors (workforce, materials, and inverters), the specific electric capacity cost reaches 0.90 USD/W. The installation cost of the hybrid receptor is considered to be 20% of the total cost of the PV/T receivers. 24   From the operational perspective, the additional heat produced in the summer season can be used to drive an absorption chiller to reduce the cooling demand of the building, as presented in [29]. Nevertheless, this will imply an increased initial investment, which must be included in the economic performance assessment. Another alternative to reduce the temperature of the PV cells is to defocus the parabolic trough concentrator when the thermal demand is not sufficiently high to maintain the temperature of the solar cells within acceptable limits. However, this will entail a reduction in the energy production of the hybrid plant by reducing its availability or capacity factor.
Finally, as shown in Figure 5, the highest recorded values of the thermal and electrical powers during a typical summer day were 148.9 and 29.1 kW, respectively. For the winter season, the thermal and electrical peak values obtained were 131.5 and 21.79 kW, respectively.

Economic and Environmental Performances
The total initial cost of the hybrid plant was estimated to be 210,889 USD, considering a fraction of 0.2 from the cost of the parabolic trough reflector as the cost of the hybrid receptor. The total cost of the hybridized parabolic trough collectors was 123,206 USD, which represents an individual collector cost of 855.6 USD. This results in a total hybrid receptor cost of 142 USD per collector, which is a reference that the manufacturer can consider for establishing the final cost of the hybrid parabolic trough to achieve the economic parameters presented in this study.
If the total installation cost (workforce, materials, and inverters) of the solar hybrid plant is considered (35,055 USD), and knowing that each hybrid receptor has a 245 Wp PV module capacity, the specific electric capacity cost becomes 1.78 USD/W. If the total installation cost of the hybrid plant is replaced by only the installation costs of the hybrid receptors (workforce, materials, and inverters), the specific electric capacity cost reaches 0.90 USD/W. The installation cost of the hybrid receptor is considered to be 20% of the total cost of the PV/T receivers.
Both the considerations have been mentioned because the former can represent the case wherein a completely new solar plant, based on hybridized parabolic troughs, is to be installed, as in the case of this study, while the latter resembles the case wherein an existing solar thermal plant, based on the local parabolic trough technology, is to be hybridized by replacing the solar thermal receivers with PV/T receptors.
From Figure 6, we can see the following: the total cost of the hybrid collectors represents 59% of the initial investment; the balance of system components (tank, hydraulic system, inverters, and storage tank) represents 24% of the downpayment; the installation cost has 17% share in the total cost. Additionally, the hybridization of the local parabolic trough technology represents 13% of the total initial investment of the solar plant.
Energies 2020, 13, x FOR PEER REVIEW 11 of 17 Both the considerations have been mentioned because the former can represent the case wherein a completely new solar plant, based on hybridized parabolic troughs, is to be installed, as in the case of this study, while the latter resembles the case wherein an existing solar thermal plant, based on the local parabolic trough technology, is to be hybridized by replacing the solar thermal receivers with PV/T receptors.
From Figure 6, we can see the following: the total cost of the hybrid collectors represents 59% of the initial investment; the balance of system components (tank, hydraulic system, inverters, and storage tank) represents 24% of the downpayment; the installation cost has 17% share in the total cost. Additionally, the hybridization of the local parabolic trough technology represents 13% of the total initial investment of the solar plant. The economic performances of the hybrid plant and conventional heat and power generation, respectively, are presented in Table 3. The electricity price to natural gas price ratio obtained is 5.68, which clearly shows a remarkably low price of natural gas, despite the fact that electricity tariff in Monterrey is lower than those in other regions in Mexico. This price ratio is 16.4% greater than the highest one (i.e., 4.88), which was reported by [28] (Italy). Figure 7 plots the PBT and annual savings of the hybrid plant as a function of the energetics price ratio Ce/Cf. Notably, a better economic performance of the hybrid plant in terms of PBT and life cycle savings is achieved as the energetics price ratio approaches one. A PBT lower than 10 years can be achieved when the energetics ratio is less than 2, with that too maintaining a relatively high electricity tariff. Because the thermal production of the hybrid plant surpassed the electrical production by nearly fivefold (see Figure 3), the savings generated by heat production prevailed upon the ones generated by electricity. Therefore, the economic performance of the hybrid plant mainly depends on the fuel to be displaced and on its price. Nevertheless, as will be further presented in this study, the added value of electricity generation is relevant in this technology, and it can be assessed from the economic perspective and strictly depends on the local prices of electricity. Table 3. Economic metrics of the hybrid plant and conventional system, respectively (Source: Author's own calculation). The economic performances of the hybrid plant and conventional heat and power generation, respectively, are presented in Table 3. The electricity price to natural gas price ratio obtained is 5.68, which clearly shows a remarkably low price of natural gas, despite the fact that electricity tariff in Monterrey is lower than those in other regions in Mexico. This price ratio is 16.4% greater than the highest one (i.e., 4.88), which was reported by [28] (Italy). Figure 7 plots the PBT and annual savings of the hybrid plant as a function of the energetics price ratio C e /C f . Notably, a better economic performance of the hybrid plant in terms of PBT and life cycle savings is achieved as the energetics price ratio approaches one. A PBT lower than 10 years can be achieved when the energetics ratio is less than 2, with that too maintaining a relatively high electricity tariff. Because the thermal production of the hybrid plant surpassed the electrical production by nearly fivefold (see Figure 3), the savings generated by heat production prevailed upon the ones generated by electricity. Therefore, the economic performance of the hybrid plant mainly depends on the fuel to be displaced and on its price. Nevertheless, as will be further presented in this study, the added value of electricity generation is relevant in this technology, and it can be assessed from the economic perspective and strictly depends on the local prices of electricity. Table 3. Economic metrics of the hybrid plant and conventional system, respectively (Source: Author's own calculation).

Parameters Hybrid Plant Conventional System
Initial investment cost (Co), USD $210, 889 $29,000 Hybrid receivers cost 1   The annual monetary savings and environmental benefits owing to the clean energy production of the hybrid solar plant are shown in Figure 8. Notably, the hybrid plant can annually generate 7183 USD of monetary savings, accounting for the heat and electricity generation. The majority of the monetary savings is attributed to the heat generation by the solar plant, accounting for 62.9% of the total. Nevertheless, the savings attained by electricity generation of the plant also represent a significant quota, despite the fact that the hybrid plant produced a diminished amount of power in comparison with that of heat.
The specific monetary savings, defined as the ratio between the annual savings and energy production, show that heat generation can save 18.78 USD per thermal MWh generated. Simultaneously, the specific savings represented by electricity generation are 60.83 USD per electric MWh, which is 3.23 times that of thermal generation. From Table 1, it is evident that the unit energy cost of electricity is five times that one of natural gas, explaining why the savings associated with electricity generation outweigh those associated with heat generation. It is one of the reasons that the hybridization of thermal technologies can achieve higher monetary savings than solar thermal collectors, even when the electricity tariff is higher than the fuel cost.
To evaluate the present value of generating a unit of energy and to have a normalized frame of reference for comparison purposes between various technologies, the levelized cost of energy is widely used in the energy sector. In this study, two approaches were used to calculate and analyze this parameter: (1) the electricity integrated LCOE proposed by Wang et al. [5] and (2) the heat integrated LCOH proposed in this study. The former involves determining the electricity equivalent of heat production by using a natural gas power plant with an efficiency of 0.55. This approach may imply that the fuel displaced owing to the thermal production of the hybrid plant, will now be used for electricity generation. This can contradict the main target (i.e., fossil fuel consumption reduction) of the studied technology. Moreover, the conversion factor considered in the previously mentioned  The annual monetary savings and environmental benefits owing to the clean energy production of the hybrid solar plant are shown in Figure 8. Notably, the hybrid plant can annually generate 7183 USD of monetary savings, accounting for the heat and electricity generation. The majority of the monetary savings is attributed to the heat generation by the solar plant, accounting for 62.9% of the total. Nevertheless, the savings attained by electricity generation of the plant also represent a significant quota, despite the fact that the hybrid plant produced a diminished amount of power in comparison with that of heat.
The specific monetary savings, defined as the ratio between the annual savings and energy production, show that heat generation can save 18.78 USD per thermal MWh generated. Simultaneously, the specific savings represented by electricity generation are 60.83 USD per electric MWh, which is 3.23 times that of thermal generation. From Table 1, it is evident that the unit energy cost of electricity is five times that one of natural gas, explaining why the savings associated with electricity generation outweigh those associated with heat generation. It is one of the reasons that the hybridization of thermal technologies can achieve higher monetary savings than solar thermal collectors, even when the electricity tariff is higher than the fuel cost. is 23.5% lower than LCOEeq, possibly making the proposed hybrid technology highly competitive if the economic evaluation is based on LCOHeq. Nevertheless, LCOHeq is only 3% lower than the LCOH of the conventional natural gas boiler. Furthermore, if the electricity to heat conversion factor for the LCOHeq calculation is considered to be 3 [33], which is the COP of a conventional heat pump, LCOHeq can reach 0.045 USD/kWh, which represents a reduction of 31% from the case with ER (0.065 USD/kWh). Because the final price of the hybrid receptor has not been yet established, a sensibility analysis of the levelized cost of energy as a function of the receptor fractional cost (RFC) was conducted. From Figure 9, we can notice that both LCOEeq and LCOHeq ER increase as the receptor fractional price increases. Nevertheless, LCOHeq ER increases at a slower pace (USD 0.022 per RFC) than LCOEeq (USD 0.03 per RFC). This difference is attributed to the following reasons: (1) the savings associated with heat production prevail over those associated with electricity, (2) the LCOHeq approach considers that electricity transforms into heat with a conversion factor of 1. If the heat pump COP is considered for the LCOHeq calculation (LCOHeq HP), the slope of the curve decreases to USD 0.014 per RFC. From these results, we can conclude that to have a levelized cost of heat (LCOHeq ER) lower than the one obtained with a conventional system, the hybrid receptor cost should not be higher than 22% of the cost of the parabolic trough reflectors. To evaluate the present value of generating a unit of energy and to have a normalized frame of reference for comparison purposes between various technologies, the levelized cost of energy is widely used in the energy sector. In this study, two approaches were used to calculate and analyze this parameter: (1) the electricity integrated LCOE proposed by Wang et al. [5] and (2) the heat integrated LCOH proposed in this study. The former involves determining the electricity equivalent of heat production by using a natural gas power plant with an efficiency of 0.55. This approach may imply that the fuel displaced owing to the thermal production of the hybrid plant, will now be used for electricity generation. This can contradict the main target (i.e., fossil fuel consumption reduction) of the studied technology. Moreover, the conversion factor considered in the previously mentioned study [5] resembles fuel to electrical energy conversion, rather than thermal to electricity generation. Therefore, the equivalent heat LCOH eq approach has been considered in this study. This latter approach considers the conversion efficiency from electricity to heat to be 1. This conversion implies that the electricity generated by the hybrid solar plant can be used for water heating by using ER. We consider that this perspective achieves more objective results within the fuel displacement context of the technology in comparison with LCOE eq . Table 3 presents the LCOE eq and LCOH eq values calculated for this case study. The LCOH eq value is 23.5% lower than LCOE eq , possibly making the proposed hybrid technology highly competitive if the economic evaluation is based on LCOH eq. Nevertheless, LCOH eq is only 3% lower than the LCOH of the conventional natural gas boiler. Furthermore, if the electricity to heat conversion factor for the LCOH eq calculation is considered to be 3 [33], which is the COP of a conventional heat pump, LCOH eq can reach 0.045 USD/kWh, which represents a reduction of 31% from the case with ER (0.065 USD/kWh).
Because the final price of the hybrid receptor has not been yet established, a sensibility analysis of the levelized cost of energy as a function of the receptor fractional cost (RFC) was conducted. From Figure 9, we can notice that both LCOE eq and LCOH eq ER increase as the receptor fractional price increases. Nevertheless, LCOH eq ER increases at a slower pace (USD 0.022 per RFC) than LCOE eq (USD 0.03 per RFC). This difference is attributed to the following reasons: (1) the savings associated with heat production prevail over those associated with electricity, (2) the LCOH eq approach considers that electricity transforms into heat with a conversion factor of 1. If the heat pump COP is considered for the LCOH eq calculation (LCOH eq HP), the slope of the curve decreases to USD 0.014 per RFC. From these results, we can conclude that to have a levelized cost of heat (LCOH eq ER) lower than the one obtained with a conventional system, the hybrid receptor cost should not be higher than 22% of the cost of the parabolic trough reflectors. heat production prevail over those associated with electricity, (2) the LCOHeq approach considers that electricity transforms into heat with a conversion factor of 1. If the heat pump COP is considered for the LCOHeq calculation (LCOHeq HP), the slope of the curve decreases to USD 0.014 per RFC. From these results, we can conclude that to have a levelized cost of heat (LCOHeq ER) lower than the one obtained with a conventional system, the hybrid receptor cost should not be higher than 22% of the cost of the parabolic trough reflectors. Notably, in this study, none incentives based on the positive environmental impact of the installation of the proposed technology were considered. This presents an opportunity to enhance the economic performance of the solar hybrid plant if carbon taxes or other local incentives, like the ones presented in [34,35], are considered. Figure 8 evaluates the GHG emission abatement potential of the hybrid plant. The annual reduction in the CO 2 e emissions can reach 97.9 metric tons, the majority of which, i.e., 80% (78.14 tons), is associated with the displacement of natural gas for heat generation. The CO 2 e emission abatement potential achieved by the proposed hybrid plant is 77.87 kg CO 2 e/m 2 , which is equivalent to taking nearly 21 passenger vehicles out of the streets every year [36]. If we consider the lifespan of the hybrid plant to be 25 years, its application into the sports center can avoid the emission of 2446 metric tons of CO 2 e.
Both the economic and environmental impacts of the proposed hybrid plant can be more significant when the thermal generation displaces other fuels including diesel, fuel oil, or LPG. Therefore, further studies should be performed in other Mexican cities where other fuels are utilized for heat generation and where higher insolation levels are available.

Conclusions
The techno-economic performance of a solar hybrid plant in a sports and wellness center building of a university college in Monterrey was studied. A transient simulation developed in TRNSYS, coupled with a steady-state model, was used. The results showed that the thermal demand, i.e., DHW and pool heating, could be partially covered by the proposed solar hybrid system. The solar fraction could achieve up to 72% and 24% during the summer and winter seasons, respectively. The hot water storage capacity and the constant thermal demands ensure that the temperature of the PV cells remains relatively low. Nevertheless, further improvements in the design and operations should be pursued to decrease the temperature levels, especially during the summer season.
Regarding the economic analysis, despite the good energy performance of the proposed hybrid plant, the evaluated economic parameters (PBT and LCC) were not sufficiently encouraging. Notably, the hybrid plant system is yet a costly alternative for heat and power generation, leading to a PBT of nearly 19 years, considering the local tariffs and technology costs (hybrid RFC of 0.2 from the parabolic trough receptor costs). The PBT lasts longer in comparison with other clean energy generation systems, including PV panels or solar thermal collectors, whose PBTs might lie between 3 and 8 years in Mexico. The long PBT is mainly attributed to the reduced local price of natural gas in Monterrey and to the subsidized electrical commercial tariff scheme in Mexico. The ratio of the prices of electricity and natural gas should be low (<2.0) to achieve satisfactory PBTs and LCCs.
This study proposed a new approach for evaluating the levelized cost of energy in hybrid solar collectors, wherein the equivalent heat was calculated considering the conversion factor from electricity to heat of 1. This new approach allows for a more objective evaluation of hybrid collectors than those presented in previous studies, provided that the purpose of this technology is the reduction in the fossil fuel consumption. The LCOH eq obtained (0.065 USD/kWh) was almost equal to the LCOH of a natural gas-fired boiler (0.067 USD/kWh), possibly indicating that the hybrid technology is a better alternative than conventional systems. Moreover, the sensibility analysis showed that LCOH eq presented a lower dependence on the cost of the hybrid receptor in comparison with LCOE eq .
The LCPV/T technology presented in this study still under development, hence further efforts should be made to reduce the total component and installation costs to be more competitive in comparison with conventional technologies. Additionally, higher fuel prices and local incentives would make the proposed technology more attractive for investment. Notably, if the low economic performance of the proposed plant is not a dealbreaker, the proposed hybrid solar technology has an excellent CO 2 e emission reduction potential. As an evidence, in this study, the hybrid plant could achieve a specific CO 2 e emission reduction of 77.87 kg CO 2 e per square meter of the required installation area. This could make the proposed technology relevant particularly in applications wherein CO 2 emission abatement is the main goal.
It is important to mention that for existing solar thermal plants based on the parabolic trough technology studied in this article, the hybridization of the solar collector can be considered. This will lead to a better economic performance of the plant, since the already existing infrastructure can be used, and only the costs of the hybrid receptor replacement should be taken into account.  Acknowledgments: The authors would like to thank the Mexican company Inventive Power for providing relevant information for this research. I. Acosta-Pazmiño acknowledges the support provided by the Mexican Science and Technology Council (CONACYT) given through its doctoral scholarship program.

Conflicts of Interest:
The authors declare no conflict of interest.