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Keywords = solar organic Rankine cycle (ORC)

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23 pages, 10797 KiB  
Article
3E Comparative Analysis of Brayton–ORC Cycle Using Two Thermal Sources: Solar Energy and Coconut Shell Biomass
by José Manuel Tovar, Guillermo Valencia Ochoa and Branda Molina
Eng 2024, 5(4), 3335-3357; https://doi.org/10.3390/eng5040174 - 11 Dec 2024
Viewed by 510
Abstract
Solar energy and biomass offer sustainable alternatives to meet the energy demand and reduce the environmental impact of fossil fuels. In this study, through mass and energy balances, a comparative analysis of energy, exergy, and environmental impact (LCA) was conducted on two renewable [...] Read more.
Solar energy and biomass offer sustainable alternatives to meet the energy demand and reduce the environmental impact of fossil fuels. In this study, through mass and energy balances, a comparative analysis of energy, exergy, and environmental impact (LCA) was conducted on two renewable thermal sources: solar energy and coconut shell biomass, both coupled to a supercritical CO2 Brayton cycle (sCO2) with an organic Rankine cycle (ORC) for waste heat recovery. The sCO2–ORC–biomass configuration showed higher exergy efficiency (41.1%) and lower exergy destruction (188.88 kW) compared to the sCO2–ORC–solar system (23.76% and 422.63 kW). Thermal efficiency (50.6%) and net power output (131.73 kW) were similar for both sources. However, the solar system (204,055.57 kg CO2-equi) had an 85.6% higher environmental impact than the biomass system (109,933.63 kg CO2-equi). Additionally, the construction phase contributed ~95% of emissions in both systems, followed by decommissioning (~4.5%) and operation (~0.1%). Finally, systems built with aluminum generate a higher carbon footprint than those with copper, with differences of 2% and 3.2% in sCO2–ORC–solar and sCO2–ORC–biomass, respectively. This study and an economic analysis make these systems viable thermo-sustainable options for clean energy generation. Full article
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<p>Supercritical carbon dioxide (sCO<sub>2</sub>) Brayton cycle with recompression, intercooling, and reheating coupled with organic Rankine cycle (ORC).</p>
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<p>TS diagram of the proposed configurations: (<b>a</b>) Brayton supercritical sCO2; (<b>b</b>) Organic Rankine cycle (ORC).</p>
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<p>Thermal sources: (<b>a</b>) Solar energy system; (<b>b</b>) Biomass system.</p>
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<p>Life cycle assessment.</p>
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<p>Model validation: (<b>a</b>) Brayton supercritical sCO<sub>2</sub>; (<b>b</b>) Organic Rankine cycle (ORC). Data is from [<a href="#B14-eng-05-00174" class="html-bibr">14</a>,<a href="#B31-eng-05-00174" class="html-bibr">31</a>].</p>
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<p>Effect of temperature on system energy performance: (<b>a</b>) Overall thermal efficiency; (<b>b</b>) Overall power output.</p>
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<p>The absolute increase in overall system efficiency due to ORC.</p>
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<p>Effect of temperature on the exergetic performance of the systems: (<b>a</b>) Exergy efficiency; (<b>b</b>) Exergy input; (<b>c</b>) Flue depletion ratio; (<b>d</b>) Destroyed exergy.</p>
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<p>Environmental impact of thermal sources: Solar and biomass.</p>
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<p>The carbon footprint of each device in the Brayton sCO<sub>2</sub>–ORC system.</p>
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<p>Environmental impact by phases: Construction, operation, and decommissioning.</p>
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22 pages, 4999 KiB  
Article
The Exergo-Economic and Environmental Evaluation of a Hybrid Solar–Natural Gas Power System in Kirkuk
by Ali Alfaris, Abdulrazzak Akroot and Emrah Deniz
Appl. Sci. 2024, 14(22), 10113; https://doi.org/10.3390/app142210113 - 5 Nov 2024
Viewed by 757
Abstract
The increasing environmental challenges posed by the widespread use of fossil fuels and the fluctuating nature of renewable energy have driven the need for more efficient and sustainable energy solutions. Current research is actively exploring hybrid energy systems as a means to address [...] Read more.
The increasing environmental challenges posed by the widespread use of fossil fuels and the fluctuating nature of renewable energy have driven the need for more efficient and sustainable energy solutions. Current research is actively exploring hybrid energy systems as a means to address these issues. One such area of focus is the integration of Organic Rankine Cycles (ORCs) with gas and steam turbines, utilizing both natural gas (NG) and solar parabolic trough collectors (PTCs) as energy sources. This study examines the performance of a hybrid system implemented in Kirkuk, Iraq, a region known for its substantial solar radiation. Previous research has shown that hybrid systems can effectively enhance energy conversion efficiency and reduce environmental impacts, but there is still a need to assess the specific benefits of such systems in different geographical and operational contexts. The analysis reveals a thermal efficiency of 59.32% and an exergy efficiency of 57.28%. The exergoeconomic analysis highlights the optimal energy cost at USD 71.93/MWh when the compressor pressure ratio is set to 8 bar. The environmental assessment demonstrates a significant reduction in CO2/emissions, with a carbon footprint of 316.3 kg CO2/MWh at higher compressor pressure ratios. These results suggest that integrating solar energy with natural gas can substantially improve electricity generation while being both cost-effective and environmentally sustainable. Full article
(This article belongs to the Special Issue Novel Research on Heat Transfer and Thermodynamics)
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<p>Gas turbine schematic diagram.</p>
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<p>Diagram of the suggested hybrid system.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="normal">E</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">t</mi> </mrow> </msub> </mrow> </semantics></math> rates of the developed hybrid system parts.</p>
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<p>Flow chart of total cost rate, exergy cost, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="normal">E</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">t</mi> </mrow> </msub> </mrow> </semantics></math> rate of the proposed hybrid system.</p>
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<p>The effect of the compressor pressure ratio (PR) on the developed system’s environment, performance, and cost.</p>
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<p>The influence of the temperature of the GTIT on the developed system’s performance, environment, and cost.</p>
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<p>The influence of the HPST inlet temperature T<sub>1</sub> on the developed system’s performance, environment, and cost.</p>
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<p>HPST inlet pressure P<sub>1</sub>’s effects on system performance, environment, and cost.</p>
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<p>The impact of the condenser temperature on the developed system’s performance, environment, and cost.</p>
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30 pages, 3450 KiB  
Review
Thermoeconomic Evaluation and Sustainability Insights of Hybrid Solar–Biomass Powered Organic Rankine Cycle Systems: A Comprehensive Review
by Jahan Zeb Alvi, Zhengjun Guan and Muhammad Imran
Biomass 2024, 4(4), 1092-1121; https://doi.org/10.3390/biomass4040061 - 22 Oct 2024
Viewed by 961
Abstract
Hybrid solar–biomass organic Rankine cycle (ORC) systems represent a promising avenue for sustainable energy production by combining abundant but intermittent solar energy with the reliable biomass energy. This study conducts a detailed thermodynamic and economic assessment of these hybrid systems, focusing on their [...] Read more.
Hybrid solar–biomass organic Rankine cycle (ORC) systems represent a promising avenue for sustainable energy production by combining abundant but intermittent solar energy with the reliable biomass energy. This study conducts a detailed thermodynamic and economic assessment of these hybrid systems, focusing on their potential to enhance energy efficiency and reduce greenhouse gas emissions. The study also evaluates the performance of various working fluids, identifying optimal configurations for different operating conditions. A key finding is that the hybrid system, with an optimized solar–biomass ratio, achieves up to a 21 to 31% improvement in efficiency and a 33% reduction in levelized cost of electricity (LCOE) compared to solar-only systems. Additionally, the study examines case studies of real-world applications, offering insights into the scalability and cost-effectiveness of these systems in regions with high solar irradiation and biomass availability. These results underline the need for continued technological innovation and policy support to promote widespread adoption of hybrid ORC systems, particularly in the context of global decarbonization efforts. Full article
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<p>Renewable electricity mixes in the European Union from 2013 to 2022, by energy source (in terawatt hours) [<a href="#B15-biomass-04-00061" class="html-bibr">15</a>].</p>
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<p>Layout diagram of solar–biomass hybrid organic Rankine cycle system.</p>
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<p>The amount of power required in a typical day by proposed hybrid plant in Zahedan, Iran (18 August 2019).</p>
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<p>Hourly electricity cost for one-year operation of the hybrid system [<a href="#B42-biomass-04-00061" class="html-bibr">42</a>].</p>
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<p>(<b>a</b>) Schematic of an ORC sytem (<b>b</b>) T–S Diagram of an organic Rankine cycle (ORC) system.</p>
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<p>Distribution of ORC applications across various industrial sectors.</p>
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<p>Comparison of Benefits Across solar, biomass, and hybrid organic Rankine cycle (ORC) systems.</p>
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<p>Influence of heat source and ambient temperatures on ORC system efficiency.</p>
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<p>Effects of air compressor pressure ratio on the system performance.</p>
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26 pages, 1353 KiB  
Review
Solar Organic Rankine Cycle (ORC) Systems: A Review of Technologies, Parameters, and Applications
by Dominika Matuszewska
Energies 2024, 17(20), 5106; https://doi.org/10.3390/en17205106 - 14 Oct 2024
Viewed by 1472
Abstract
The Organic Rankine Cycle (ORC) is a widely utilized technology for generating electricity from various sources, including geothermal energy, waste heat, biomass, and solar energy. Harnessing solar radiation to drive ORC is a promising renewable energy technology due to the high compatibility of [...] Read more.
The Organic Rankine Cycle (ORC) is a widely utilized technology for generating electricity from various sources, including geothermal energy, waste heat, biomass, and solar energy. Harnessing solar radiation to drive ORC is a promising renewable energy technology due to the high compatibility of solar collector operating temperatures with the thermal requirements of the cycle. The aim of this review article is to present and discuss the principles of solar-ORC technology and the broad range of solar-ORC systems that have been explored in the literature. Various solar energy technologies capable of powering ORC are investigated, including flat plate collectors, vacuum tube collectors, compound parabolic collectors, and parabolic trough collectors. The review places significant emphasis on the operating parameters of technology. Full article
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<p>Basic ORC system with key component and state-point notations.</p>
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<p>Temperature-specific entropy diagram of an ORC system.</p>
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<p>Temperature–heat diagram for preheater, evaporator, and superheater.</p>
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<p>Some of the wet, isentropic, and dry fluids using in ORCs.</p>
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<p>Temperature ranges typical for different solar thermal collectors [<a href="#B54-energies-17-05106" class="html-bibr">54</a>].</p>
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<p>Schematic layout of a direct solar-ORC system.</p>
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<p>Schematic layout of indirect solar-ORC system.</p>
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23 pages, 7362 KiB  
Article
Thermal Efficiency Analysis of a 1 kW ORC System with a Solar Collection Stage and R-245fa Working Fluid: A Case Study
by Raúl Alejandro Martínez-Sánchez, José M. Álvarez-Alvarado, Gerardo I. Pérez-Soto, Idalberto Macías-Socarrás, Karla A. Camarillo-Gómez and Juvenal Rodríguez-Reséndiz
Fluids 2024, 9(9), 217; https://doi.org/10.3390/fluids9090217 - 15 Sep 2024
Viewed by 914
Abstract
A thermal efficiency analysis of an organic Rankine cycle (ORC) system enables its performance to be evaluated; for this purpose, critical system components, including the turbine and the boiler, must be scrutinized. ORC plants can operate under various regimes, such as simple, regeneration, [...] Read more.
A thermal efficiency analysis of an organic Rankine cycle (ORC) system enables its performance to be evaluated; for this purpose, critical system components, including the turbine and the boiler, must be scrutinized. ORC plants can operate under various regimes, such as simple, regeneration, and reheat work modes. Organic fluids such as R-245fa integrate low-temperature sources such as solar radiation. However, a literature review revealed limited research on the impact of a solar collection system on the overall thermal efficiency of an ORC system during the regeneration stage. In this study, we examined the thermal efficiency behavior of an ORC plant with a 1 kW generator operating in simple and regeneration modes with a solar collection stage. The results show that the thermal efficiency in simple mode was 35.27%, while in regeneration mode with solar collection it reached 51.30%. Improving the thermal efficiency of a thermodynamic cycle system can reduce CO2 emissions. The operating temperature ranges facilitate the development of a methodology for industries to implement ORC systems in their manufacturing processes, thereby utilizing waste heat from industrial operations. Full article
(This article belongs to the Special Issue Evaporation, Condensation and Heat Transfer)
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<p>(<b>a</b>) The stages and equipment of an ideal Rankine cycle. (<b>b</b>) A T–s diagram of an ideal Rankine cycle.</p>
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<p>(<b>a</b>) The stages and equipment of an ideal Rankine cycle with a regeneration stage. (<b>b</b>) A T–s diagram of an ideal regenerative Rankine cycle.</p>
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<p>ORC prototype plant.</p>
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<p>Diagram of equipment, field instrumentation, and piping.</p>
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<p>Process flow diagram.</p>
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<p>Pressure control strategy.</p>
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<p>Solar collector coupled to regeneration stage in ORC plant.</p>
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<p>ORC plant instrumentation diagram.</p>
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<p>Solar irradiation measured at solarimetric station.</p>
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<p>Thermal efficiency obtained from solar collector.</p>
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<p>(<b>a</b>) Values measured with temperature sensor TT-01. (<b>b</b>) Values measured with temperature sensor TT-02.</p>
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<p>(<b>a</b>) Values measured with temperature sensor TT-03. (<b>b</b>) Values measured with temperature sensor TT-04.</p>
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<p>(<b>a</b>) Values measured with temperature sensor TT-05. (<b>b</b>) Enthalpy values obtained from analysis of thermodynamic states.</p>
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14 pages, 2307 KiB  
Article
Performance Evaluation and Working Fluid Screening of Direct Vapor Generation for Solar ORC Using Low-Global Warming Potential (GWP) Working Fluids
by Youtao Jiang, Xunda Zhang, Zhengao Zhang, Lei Hao, Zhaozhi Cao, Shuyang Li, Bowen Guo, Yawen Zheng, Chunhai Dong and Li Zhao
Energies 2024, 17(13), 3133; https://doi.org/10.3390/en17133133 - 25 Jun 2024
Cited by 1 | Viewed by 1160
Abstract
Traditional working fluids used in direct vapor generation for solar organic Rankine cycle (DVG-ORC) systems have a high global warming potential (GWP), making it imperative to find environmentally friendly alternative working fluids for these systems. This paper evaluates the performance of the DVG-ORC [...] Read more.
Traditional working fluids used in direct vapor generation for solar organic Rankine cycle (DVG-ORC) systems have a high global warming potential (GWP), making it imperative to find environmentally friendly alternative working fluids for these systems. This paper evaluates the performance of the DVG-ORC system under different operating conditions. By comparing the results of traditional working fluids with those of low-GWP fluids, the feasibility of using low-GWP fluids as alternative working fluids is explored. Additionally, to screen the working fluids suitable for this system further, the system is optimized with net output power as the objective function. The results show that evaporation temperature has different impacts on system performance. R245ca and R1336mzz(Z) exhibit higher net output power at different evaporation temperatures, with R1336mzz(Z) only reducing it by 3.73–5.26% compared to R245ca. However, an increase in condensation temperature negatively affects system performance, leading to a decrease in net output power and various efficiencies. Net output power increases with an increase in mass flow rate, indicating that higher mass flow rates can enhance system performance. The optimization results show that the net output power of low-GWP working fluid R1336mzz(Z) decreases by only 3.44% compared to R245ca, which achieves the maximum net output power. Moreover, among low-GWP working fluids, R1336mzz(Z) demonstrates the highest ORC efficiency and system efficiency, making it the most suitable working fluid for the DVG-ORC system due to its environmental friendliness and safety. Full article
(This article belongs to the Special Issue Novel Method, Optimization and Applications of Thermodynamic Cycles)
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<p>The schematic diagram of the DVG-ORC system.</p>
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<p>Optimization flowchart of the system.</p>
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<p>The effect of evaporation temperature on net power output.</p>
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<p>The impact of saturation temperature on efficiency. (<b>a</b>) ORC efficiency; (<b>b</b>) PTC efficiency; (<b>c</b>) system efficiency.</p>
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<p>The impact of condensation temperature on net power output.</p>
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<p>The impact of condensation temperature on efficiency. (<b>a</b>) ORC efficiency; (<b>b</b>) PTC efficiency; (<b>c</b>) system efficiency.</p>
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<p>The impact of mass velocity on net power output.</p>
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<p>Optimization results of the system.</p>
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<p>The system efficiencies based on the optimization results.</p>
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29 pages, 4830 KiB  
Article
The Integration of Renewable Energy into a Fossil Fuel Power Generation System in Oil-Producing Countries: A Case Study of an Integrated Solar Combined Cycle at the Sarir Power Plant
by Abdulrazzak Akroot, Mohamed Almaktar and Feras Alasali
Sustainability 2024, 16(11), 4820; https://doi.org/10.3390/su16114820 - 5 Jun 2024
Cited by 4 | Viewed by 1945
Abstract
Libya is facing a serious challenge in its sustainable development because of its complete dependence on traditional fuels in meeting its growing energy demand. On the other hand, more intensive energy utilization accommodating multiple energy resources, including renewables, has gained considerable attention. This [...] Read more.
Libya is facing a serious challenge in its sustainable development because of its complete dependence on traditional fuels in meeting its growing energy demand. On the other hand, more intensive energy utilization accommodating multiple energy resources, including renewables, has gained considerable attention. This article is motivated by the obvious need for research on this topic due to the shortage of applications concerning the prospects of the hybridization of energy systems for electric power generation in Libya. The 283 MW single-cycle gas turbine operating at the Sarir power plant located in the Libyan desert is considered a case study for a proposed Integrated Solar Combined Cycle (ISCC) system. By utilizing the common infrastructure of a gas-fired power plant and concentrating solar power (CSP) technology, a triple hybrid system is modeled using the EES programming tool. The triple hybrid system consists of (i) a closed Brayton cycle (BC), (ii) a Rankine cycle (RC), which uses heat derived from a parabolic collector field in addition to the waste heat of the BC, and (iii) an organic Rankine cycle (ORC), which is involved in recovering waste heat from the RC. A thermodynamic analysis of the developed triple combined power plant shows that the global power output ranges between 416 MW (in December) and a maximum of 452.9 MW, which was obtained in July. The highest overall system efficiency of 44.3% was achieved in December at a pressure ratio of 12 and 20% of steam fraction in the RC. The monthly capital investment cost for the ISCC facility varies between 52.59 USD/MWh and 58.19 USD/MWh. From an environmental perspective, the ISCC facility can achieve a carbon footprint of up to 319 kg/MWh on a monthly basis compared to 589 kg/MWh for the base BC plant, which represents a reduction of up to 46%. This study could stimulate decision makers to adopt ISCC power plants in Libya and in other developing oil-producing countries. Full article
(This article belongs to the Special Issue Sustainable and Renewable Thermal Energy Systems)
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<p>Fossil CO<sub>2</sub> emissions based on sector in Libya.</p>
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<p>The direct normal irradiation for a number of selected locations in Libya.</p>
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<p>Utilization prospect of hybrid energy sources in Libya.</p>
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<p>A schematic diagram of the proposed triple combined system.</p>
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<p>Variations in power output in June.</p>
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<p>Variations in power output in September.</p>
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<p>Variations in power output in December.</p>
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<p>Variations in power output in December.</p>
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<p>Variations in power output in March.</p>
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<p>Variations in power output in March.</p>
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<p>Variations in power output, specific cost, and overall efficiencies with respect to ambient temperature.</p>
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<p>Variations in power outputs, specific costs, and overall efficiencies with respect to relative humidity.</p>
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<p>The monthly power production values from the BC and ISCC.</p>
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<p>The monthly thermal efficiency for the BC and the integrated system.</p>
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<p>Exergy destruction for each cycle per month.</p>
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<p>The capital investment costs for the BC and ISCC per month.</p>
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<p>The monthly levels of carbon footprint for the BC and the developed ISCC system.</p>
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15 pages, 3513 KiB  
Article
Multi-Objective Optimization of an Organic Rankine Cycle (ORC) for a Hybrid Solar–Waste Energy Plant
by Lina Wang, Jun Yang, Bing Qu and Chang Pang
Energies 2024, 17(8), 1810; https://doi.org/10.3390/en17081810 - 10 Apr 2024
Cited by 4 | Viewed by 1106
Abstract
In pursuit of sustainable development and mitigation of the intermittency challenge associated with solar energy, this study proposes a hybrid solar system integrating waste heat incineration alongside solar power generation and distinct heat provision. Leveraging the superior energy efficiency of the organic Rankine [...] Read more.
In pursuit of sustainable development and mitigation of the intermittency challenge associated with solar energy, this study proposes a hybrid solar system integrating waste heat incineration alongside solar power generation and distinct heat provision. Leveraging the superior energy efficiency of the organic Rankine cycle (ORC) in medium- and low-temperature scenarios, a parabolic trough collector (PTC) is selected for its cost-effectiveness and long-term operational reliability. Dowtherm A and toluene are identified as the optimal working fluids for the PTC and ORC, respectively. To optimize this complex system, a combination of artificial neural networks (ANNs) and multi-objective optimization via non-dominated sorting genetic algorithm II (NSGA-II) is employed, streamlining the optimization process. Thermal dynamic simulations are executed using Engineering Equation Solver (EES, V11) to validate the proposed system’s performance. TOPSIS is employed to identify the optimal solution from the Pareto frontier. The results indicate that the hourly cost of the system stands at USD 43.08, with an exergy efficiency of 22.98%. The economic analysis reveals that the solar collector constitutes the most significant portion of the total initial cost, representing 53.2%, followed by the turbine, thermoelectric generator (TEG), and waste heat incineration, in descending order of costliness. Full article
(This article belongs to the Special Issue Modeling Analysis and Optimization of Energy System)
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<p>The schematic of the cogeneration hybrid system.</p>
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<p>The flowchart of the proposed system.</p>
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<p>The ANN validation of the two output parameters.</p>
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<p>The influence of <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">A</mi> <mrow> <mi>tot</mi> </mrow> </msub> </mrow> </semantics></math> (<b>a</b>) and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">T</mi> <mn>2</mn> </msub> </mrow> </semantics></math> (<b>b</b>) on the system’s hourly cost and exergy efficiency.</p>
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<p>The influence of <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">T</mi> <mn>9</mn> </msub> </mrow> </semantics></math> (<b>a</b>) and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">T</mi> <mn>6</mn> </msub> </mrow> </semantics></math> (<b>b</b>) on the system’s hourly cost and exergy efficiency.</p>
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<p>The optimal points of the system (Pareto frontier).</p>
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<p>The hourly cost diagram of the system.</p>
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23 pages, 3527 KiB  
Article
Thermodynamic Modeling of a Solar-Driven Organic Rankine Cycle-Absorption Cooling System for Simultaneous Power and Cooling Production
by José C. Jiménez-García, Isaías Moreno-Cruz and Wilfrido Rivera
Processes 2024, 12(3), 427; https://doi.org/10.3390/pr12030427 - 20 Feb 2024
Cited by 2 | Viewed by 1800
Abstract
Humanity is facing the challenge of reducing its environmental impact. For this reason, many specialists worldwide have been studying the processes of production and efficient use of energy. In this way, developing cleaner and more efficient energy systems is fundamental for sustainable development. [...] Read more.
Humanity is facing the challenge of reducing its environmental impact. For this reason, many specialists worldwide have been studying the processes of production and efficient use of energy. In this way, developing cleaner and more efficient energy systems is fundamental for sustainable development. The present work analyzed the technical feasibility of a solar-driven power-cooling system operating in a particular location in Mexico. The theoretical system integrates organic Rankine and single-stage absorption cooling cycles. A parabolic trough collector and a storage system integrated the solar system. Its performance was modeled for a typical meteorological year using the SAM software by NREL. The analyzed working fluids for the organic cycle include benzene, cyclohexane, toluene, and R123, while the working fluid of the absorption system is the ammonia-water mixture. The cycle’s first and second-law performances are determined in a wide range of operating conditions. Parameters such as the energy utilization factor, turbine power, COP, and exergy efficiency are reported for diverse operating conditions. It was found that the highest energy utilization factor was 0.68 when the ORC utilized benzene as working fluid at ORC and ACS condensing temperatures of 80 °C and 20 °C, respectively, and at a cooling temperature of 0 °C. The best exergy efficiency was 0.524 at the same operating conditions but at a cooling temperature of −10 °C. Full article
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<p>Schematic diagram of the integrated cooling and power system.</p>
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<p>Average insolation and irradiance for the analyzed site.</p>
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<p>Solar system outlet temperature.</p>
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<p>Solar system thermal power.</p>
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<p>Storage system thermal performance.</p>
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<p>Organic fluid and condensing temperature effects on the (<b>A</b>) turbine power, and (<b>B</b>) ORC efficiency.</p>
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<p>ACS condensing temperatures effect on (<b>A</b>) cooling load and (<b>B</b>) COP.</p>
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<p>Condensing and cooling temperatures’ effect on the cooling load to turbine power rate.</p>
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<p>(<b>A</b>) EUF as a function of ORC and ACS condensing temperatures for benzene; (<b>B</b>) EUF as a function of organic fluids and ACS condensing temperatures at <span class="html-italic">T</span><sub>4<span class="html-italic">P</span></sub> = 110 °C.</p>
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<p>(<b>A</b>) Exergy efficiency as a function of ORC and ACS condensing temperatures for benzene; (<b>B</b>) exergy efficiency as a function of organic fluids and ACS condensing temperatures at <span class="html-italic">T</span><sub>4<span class="html-italic">P</span></sub> = 110 °C.</p>
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<p>Predicted hourly performance of the integrated system for the spring equinox (<b>A</b>), summer solstice (<b>B</b>), autumn equinox (<b>C</b>), and winter solstice (<b>D</b>).</p>
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25 pages, 7708 KiB  
Article
Thermodynamic Investigation and Economic Evaluation of a High-Temperature Triple Organic Rankine Cycle System
by Pengcheng Li, Chengxing Shu, Jing Li, Yandong Wang, Yanxin Chen, Xiao Ren, Desuan Jie and Xunfen Liu
Energies 2023, 16(23), 7818; https://doi.org/10.3390/en16237818 - 28 Nov 2023
Cited by 1 | Viewed by 997
Abstract
Triple organic Rankine cycle (TORC) is gradually gaining interest, but the maximum thermal efficiencies (around 30%) are restricted by low critical temperatures of common working fluids (<320 °C). This paper proposes a high-temperature (up to 400 °C) TORC system to ramp up efficiency. [...] Read more.
Triple organic Rankine cycle (TORC) is gradually gaining interest, but the maximum thermal efficiencies (around 30%) are restricted by low critical temperatures of common working fluids (<320 °C). This paper proposes a high-temperature (up to 400 °C) TORC system to ramp up efficiency. A near-azeotropic mixture biphenyl/diphenyl oxide (BDO), which has a stellar track record in the high-temperature ORC applications, is innovatively adopted as the top and middle ORC fluid simultaneously. Four conventional organic fluids are chosen for the bottom ORC. A mixing heat exchanger connects the top and middle ORCs to reduce irreversible loss. Thermodynamic analysis hints that the optimal performance is achieved on the use of benzene as the bottom fluid. The maximum thermal and exergy efficiencies are respectively 40.86% and 74.14%. The largest exergy destruction occurs inside the heat exchanger coupling the middle and bottom ORCs, accounting for above 30% of the total entropy generation. The levelized energy cost (LEC) is 0.0368 USD/kWh. Given the same heat source condition, the TORC system can boost the efficiency by 1.02% and drive down LEC by 0.0032 USD/kWh compared with a BDO mixture-based cascade ORC. The proposed system is promising in solar thermal power generation and Carnot battery applications using phase change materials for storage. Full article
(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
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<p>Overview of the work.</p>
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<p>Schematic diagram of the TORC.</p>
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<p><span class="html-italic">T-s</span> diagram of the TORC.</p>
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<p>Variations of TORC thermal efficiency with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Variations of TORC thermal efficiency with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> when <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> <mo>=</mo> </mrow> </semantics></math> 153 °C.</p>
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<p>Variations of subcycle net power outputs for benzene when <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> <mo>=</mo> </mrow> </semantics></math> 153 °C.</p>
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<p>Variations of subcycle thermal efficiencies for benzene when <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> <mo>=</mo> </mrow> </semantics></math> 153 °C.</p>
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<p>Variations of subcycle mass flow rates for benzene when <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> <mo>=</mo> </mrow> </semantics></math> 153 °C.</p>
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<p><span class="html-italic">T-Q</span> diagram at the optimal condition.</p>
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<p>Entropy generation in the TORC on the use of benzene.</p>
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<p>Variations of TORC exergy efficiency with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Variations of TORC exergy efficiency with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> when <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> <mo>=</mo> </mrow> </semantics></math> 153 °C.</p>
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<p>Schemes of the shell and tube HXs.</p>
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<p>Schematic diagram of the cascade ORC.</p>
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<p>Variations of the cascade ORC thermal and exergy efficiencies with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>20</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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20 pages, 3429 KiB  
Article
Optimizing Solar Energy Harvesting through Integrated Organic Rankine Cycle–Reverse Osmosis Systems: A Techno–Economic Analysis
by Lina Wang, Chunyu Zhou and Hamid Reza Rahbari
Sustainability 2023, 15(18), 13602; https://doi.org/10.3390/su151813602 - 12 Sep 2023
Cited by 3 | Viewed by 1679
Abstract
When it comes to seawater desalination in the small- to medium-electricity ranges, the organic Rankine cycle (ORC) powered by solar energy stands out as the most energy-efficient technology currently available. Various solar techniques have been developed to capture and absorb solar energy. Among [...] Read more.
When it comes to seawater desalination in the small- to medium-electricity ranges, the organic Rankine cycle (ORC) powered by solar energy stands out as the most energy-efficient technology currently available. Various solar techniques have been developed to capture and absorb solar energy. Among them, the parabolic trough collector (PTC) has gained recognition as a low-cost solar thermal collector with a long operating life. This study investigates the thermodynamic performance and economic parameters of a PTC-powered ORC using Dowtherm A and toluene as working fluids for the solar cycle and ORC cycle, respectively. Thermo-economic multi-objective optimization and decision-making techniques are applied to assess the system’s performance. Four key parameters are analyzed for their impact on exergy efficiency and total hourly cost. Using TOPSIS decision-making, the best solution from the Pareto frontier is identified, featuring an ORC exergy efficiency of 30.39% and a total hourly cost of 39.38 US$/h. The system parameters include a mass flow rate of fresh water at 137.7 m3/h, a total output net power of 577.9 kJ/kg, and a district heating supply of 1074 kJ/kg. The cost analysis reveals that the solar collector represents approximately 68% of the total hourly cost at 26.77 US$/h, followed by the turbine, thermoelectric generator, and reverse osmosis (RO) unit. Full article
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<p>Schematic of combined PTC and ORC with RO plant.</p>
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<p>The flowchart of the proposed system.</p>
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<p>The validation result of the total cost <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>Z</mi> <mo>˙</mo> </mover> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> (<b>a</b>) and the exergy efficiency <math display="inline"><semantics> <mrow> <msub> <mi>η</mi> <mrow> <mi>E</mi> <mi>X</mi> </mrow> </msub> </mrow> </semantics></math> (<b>b</b>).</p>
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<p>Contribution of output temperature of TEG <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mrow> <mn>15</mn> </mrow> </msub> </mrow> </semantics></math> (<b>a</b>) and inlet temperature of turbine <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mrow> <mn>10</mn> </mrow> </msub> </mrow> </semantics></math> (<b>b</b>) with the exergy efficiency and total cost of the system.</p>
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<p>The influence of the area of the solar collector <math display="inline"><semantics> <mrow> <msub> <mi>A</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> (<b>a</b>) and the outlet temperature of solar collector <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>2</mn> </msub> </mrow> </semantics></math> (<b>b</b>) on the exergy efficiency and total cost of the system.</p>
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<p>The Pareto frontier for hourly cost and exergy efficiency using NSGA-II.</p>
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<p>Cost diagram of the system.</p>
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25 pages, 4587 KiB  
Review
Design, Integration, and Control of Organic Rankine Cycles with Thermal Energy Storage and Two-Phase Expansion System Utilizing Intermittent and Fluctuating Heat Sources—A Review
by Attila R. Imre, Sindu Daniarta, Przemysław Błasiak and Piotr Kolasiński
Energies 2023, 16(16), 5948; https://doi.org/10.3390/en16165948 - 11 Aug 2023
Cited by 7 | Viewed by 2048
Abstract
In order to lessen reliance on fossil fuels, a rise in interest in the utilization of fluctuating and intermittent heat sources derived from renewable energy (such as solar thermal, ocean thermal, and geothermal) and waste heat has been observed. These heat sources could [...] Read more.
In order to lessen reliance on fossil fuels, a rise in interest in the utilization of fluctuating and intermittent heat sources derived from renewable energy (such as solar thermal, ocean thermal, and geothermal) and waste heat has been observed. These heat sources could be used to generate electricity at relatively low and medium temperatures, for example, through the organic Rankine cycle (ORC). In some case studies, various approaches have been developed to deal with and design ORCs in the desired operating condition utilizing suitable working fluids. This article aims to review some designs and integrated systems of ORC with thermal energy storage (TES) and a two-phase expansion system focusing on the utilization of medium- and low-temperature heat sources in which some subcritical ORCs are presented. Moreover, several possible control systems (both conventional and advanced ones) of ORC with TES and a two-phase expansion system are reported and compared. At the end of this article, the possible future developments of design and control systems are discussed to describe advanced ORC for utilizing low-grade heat sources. This study aims to provide researchers and engineers with an insight into the challenges involved in this process, making industrialization of ORC technology more extensive, in particular when combined with TES and a two-phase expansion system. Full article
(This article belongs to the Section D: Energy Storage and Application)
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<p>Development of ORC utilizing intermittent and fluctuating low- and medium-temperature heat sources via a two-phase expansion system (direct), TES (direct and indirect), or combined system. In this illustration, LH, EVA, EXP, CDS, PMP, and TES refer to liquid heater, evaporator, expander, condenser, pump, and thermal energy storage, respectively.</p>
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<p>Several indirect systems of TES integrated into the ORC system for (<b>a</b>–<b>c</b>) hot sources, (<b>d</b>–<b>f</b>) cooling sources, and (<b>g</b>–<b>i</b>) both sources. In this illustration, LH, EVA, EXP, CDS, PMP, and TES refer to liquid heaters, evaporator, expander, condenser, pump, and thermal energy storage, respectively.</p>
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<p>Several direct systems of TES integrated in ORC system for (<b>a</b>) liquid heater and evaporator, (<b>b</b>) evaporator, (<b>c</b>) condenser, (<b>d</b>,<b>e</b>) separate devices, and (<b>f</b>) liquid heater, evaporator, and condenser. In this illustration, LH, EVA, EXP, CDS, PMP, and TES refer to liquid heater, evaporator, expander, condenser, pump, and thermal energy storage, respectively.</p>
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<p>The illustration of (<b>a</b>) the direct utilization of intermittent and fluctuating heat/cold sources, and (<b>b</b>) the indirect utilization of intermittent and fluctuating heat/cold sources by using a TES system (direct TES or indirect TES systems), adapted from [<a href="#B38-energies-16-05948" class="html-bibr">38</a>].</p>
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<p>System identification based on experimental approach, adapted from [<a href="#B53-energies-16-05948" class="html-bibr">53</a>].</p>
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<p>Overview of a possible control system for the ORC system.</p>
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<p>Illustration for the evolution of control systems for ORC in the future.</p>
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<p>A novel integrated system of intermittent and fluctuating heat sources: (<b>a</b>) an illustration and (<b>b</b>) an example of the design of an integrated system [<a href="#B88-energies-16-05948" class="html-bibr">88</a>].</p>
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<p>An example of (<b>a</b>) how energy cascades directly and inversely between industries, and (<b>b</b>) diagram of a causal loop showing how networks including conventional source, small- and medium-sized business, and possible locations for ORC systems [<a href="#B89-energies-16-05948" class="html-bibr">89</a>].</p>
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<p>An example of (<b>a</b>) how energy cascades directly and inversely between industries, and (<b>b</b>) diagram of a causal loop showing how networks including conventional source, small- and medium-sized business, and possible locations for ORC systems [<a href="#B89-energies-16-05948" class="html-bibr">89</a>].</p>
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13 pages, 1961 KiB  
Article
Performance Analysis and Comprehensive Evaluation of Solar Organic Rankine Cycle Combined with Transcritical CO2 Refrigeration Cycle
by Na Zhang, Po Xu, Yiming Wang, Wencai Tong and Zhao Yang
Energies 2023, 16(14), 5557; https://doi.org/10.3390/en16145557 - 22 Jul 2023
Viewed by 1349
Abstract
In order to achieve efficient utilization of solar energy resources, this study combines the trans-critical organic Rankine cycle (ORC) power cycle (TORC) with the trans-critical CO2 refrigeration cycle (TCO2). Additionally, a comprehensive three-level index decision evaluation system is developed based [...] Read more.
In order to achieve efficient utilization of solar energy resources, this study combines the trans-critical organic Rankine cycle (ORC) power cycle (TORC) with the trans-critical CO2 refrigeration cycle (TCO2). Additionally, a comprehensive three-level index decision evaluation system is developed based on system safety and environmental protection, thermodynamics, and techno-economic performance. The evaluation focuses on typical medium- and high-temperature solar energy applications and considers six organic working gases. The evaluation results demonstrate that the R600 + CO2 solution outperformed the others. This solution achieved a maximum net output power (Pnet) of 1531.31 kW and 2306.43 kW, a maximum coefficient of performance (COP) of 3.16, a predicted payback period of 2.651 years and 2.033 years, and a benefit–investment ratio of 4.533 and 5.773. Full article
(This article belongs to the Special Issue Development of Thermodynamic Storage Technology)
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<p>Schematic diagram of combined solar TORC and TCO<sub>2</sub> system.</p>
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<p>T-s diagram of combined solar TORC and TCO<sub>2</sub> system.</p>
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<p>Variation of COP for combined solar TORC and TCO<sub>2</sub> system.</p>
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<p>Variation of exergy efficiency for combined solar TORC and TCO<sub>2</sub> system.</p>
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<p>Variation of ARC for combined solar TORC and TCO<sub>2</sub> system.</p>
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<p>Variation of ARC for combined solar TORC and TCO<sub>2</sub> system.</p>
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14 pages, 1756 KiB  
Article
Selection of Organic Fluid Based on Exergetic Performance of Subcritical Organic Rankine Cycle (ORC) for Warm Regions
by Muhammad Ehtisham Siddiqui, Eydhah Almatrafi, Usman Saeed and Aqeel Ahmad Taimoor
Energies 2023, 16(13), 5149; https://doi.org/10.3390/en16135149 - 4 Jul 2023
Cited by 3 | Viewed by 1512
Abstract
The organic Rankine cycle (ORC) exhibits considerable promise in efficiently utilizing low-to-medium-grade heat. Currently, there is a range of organic fluids available in the market, and selecting the appropriate one for a specific application involves considering factors such as the cycle’s thermodynamic performance, [...] Read more.
The organic Rankine cycle (ORC) exhibits considerable promise in efficiently utilizing low-to-medium-grade heat. Currently, there is a range of organic fluids available in the market, and selecting the appropriate one for a specific application involves considering factors such as the cycle’s thermodynamic performance, plant size, and compatibility with turbomachinery. The objective of our study is to examine the exergetic performance of the ORC with internal heat regeneration. We analyze 12 different organic fluids to evaluate their suitability based on parameters like exergy efficiency and heat exchange area requirements. Additionally, we investigate the need for internal heat regeneration by comparing the overall exergy performance with a simpler ORC configuration. To ensure broad applicability, we consider source temperatures ranging from 150 to 300 °C, which are relevant to industrial waste heat, geothermal sources, and solar energy. For each case, we calculate specific net power output and the UA value (heat exchanger conductance) to gain insights into selecting the appropriate organic fluid for specific source temperatures. Cyclohexane, benzene, isopropyl alcohol, and hexafluorobenzene show poor exergy efficiency due to their high boiling points. Pentane and cyclopentane provides the highest exergy efficiency of 62.2% at source temperature of 300 °C, whereas pentane is found to be the most suitable at source temperatures of 200 and 150 °C with exergy efficiency of 67.7% and 61.7%, respectively. At 200 °C source temperature, RE347mcc achieves 65.9% exergy efficiency. The choice of organic fluid for a given heat source is highly influenced by its critical properties. Moreover, the normal boiling temperature of the organic fluid significantly impacts exergy destruction during the condensation process within the cycle. Full article
(This article belongs to the Collection Advances in Heat Transfer Enhancement)
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<p>(<b>a</b>) Organic Rankine cycle with an internal heat recovery unit and (<b>b</b>) T-s diagram of the cycle using pentane as a working fluid operating with a source temperature of 250 °C. Numbers (1 to 10) represent state points. In heat exchangers (Evaporator, Condenser, and IHRU) red and blue lines represent hot-side and cold-side streams, respectively.</p>
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<p>Exergy efficiency versus Expander inlet pressure for (a) R600, CIS-Butene, RE347mcc, Neopentane, and R245fa at source temperature of 150 °C and (<b>b</b>) Cyclopentane, Acetone, Isopropyl (2-Propanol), Hexafluorobenzene, and R245fa at source temperature of 250 °C.</p>
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<p>Exergy performance of the cycle using various organic fluids at source temperatures of 150, 200, 250, and 300 °C. Red diamonds and black dots represent the critical temperature of the fluid and expander inlet temperature, respectively.</p>
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<p>The change in the exergy efficiency (in percentage points) of the cycle with increasing source temperature.</p>
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<p>Component-wise exergy loss in the cycle at source temperature of 200 °C.</p>
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<p>The specific net power output of the cycle with selected organic fluids operating at various source temperatures.</p>
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<p>Column chart showing the contribution of the IHRU in the cycle operating at source temperatures of 150, 200, 250, and 300 °C. Symbols represent the exergy efficiency of the cycle. A solid horizontal line is plotted for a reference purpose to separate data points with exergy efficiency above 60%.</p>
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<p>Stacked column chart displaying the conductance (<span class="html-italic">UA</span> value) of the evaporator, cooler, and IHRU in the cycle.</p>
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24 pages, 5085 KiB  
Article
Frequency Regulation Strategy of Two-Area Microgrid System with Electric Vehicle Support Using Novel Fuzzy-Based Dual-Stage Controller and Modified Dragonfly Algorithm
by Balvender Singh, Adam Slowik, Shree Krishan Bishnoi and Mandeep Sharma
Energies 2023, 16(8), 3407; https://doi.org/10.3390/en16083407 - 12 Apr 2023
Cited by 7 | Viewed by 1968
Abstract
Energy in microgrids (MGs) can now be generated from a variety of renewable sources, but their effective and sustainable use is dependent on electrical energy storage (EES) systems. Consequently, the expansion of MGs is greatly reliant on EES systems. The high infiltration of [...] Read more.
Energy in microgrids (MGs) can now be generated from a variety of renewable sources, but their effective and sustainable use is dependent on electrical energy storage (EES) systems. Consequently, the expansion of MGs is greatly reliant on EES systems. The high infiltration of electric vehicles (EVs) causes some problems for the smooth functioning of the electric power system. However, EVs are also able to offer ancillary services, such as energy storage, to power systems. The research presented in this paper aims to develop a novel frequency regulation (FR) approach for biogas diesel engines (wind), the organic Rankine cycle (ORC), and solar-based two-area islanded microgrids with EVs in both areas. This article discusses the introduction of a fuzzy logic controller (FLC) for FR with scaled factors configured as proportional integral (PI) and proportional derivative with filter (PDF), i.e., a FLC-SF-PI-PDF controller. A recently created modified dragonfly algorithm is used to determine the best values for the controller parameters. To justify the effectiveness of the proposed controller with the presence of EVs, the execution of the proposed controller is associated with and without the presence of EVs. This research also looks at the different uncertain conditions, non-linearities, and eigenvalue stability analysis to validate the supremacy of the proposed approach. Full article
(This article belongs to the Special Issue Coherent Security Planning for Power Systems)
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<p>The proposed microgrid (<b>a</b>) schematic and (<b>b</b>) transfer function model.</p>
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<p>The proposed microgrid (<b>a</b>) schematic and (<b>b</b>) transfer function model.</p>
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<p>Aggregate model of EVs [<a href="#B39-energies-16-03407" class="html-bibr">39</a>].</p>
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<p>State of charging EV battery [<a href="#B51-energies-16-03407" class="html-bibr">51</a>]: (<b>a</b>) EVs’ charging mode; (<b>b</b>) EVs in the idle mode.</p>
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<p>Dual-stage PI-PDF controller structures.</p>
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<p>FLC-PI-PDF controller structures.</p>
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<p>Input MFs of fuzzy system.</p>
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<p>Output MFs of fuzzy system.</p>
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<p>Proposed FLC-SF-PI-PDF controller structures.</p>
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<p>(<b>a</b>) Step variation in load, wind speed, and solar irradiance. (<b>b</b>) Frequency response of area 1 with fuzzy-PI-PDF controller. (<b>c</b>) Frequency response of area 2 with fuzzy-PI-PDF controller. (<b>d</b>) Tie-line Power of area 1 with fuzzy-PI-PDF controller. (<b>e</b>) Frequency response of area 1 with the proposed controller with and without EVs. (<b>f</b>) Frequency response of area 2 with the proposed controller with and without EVs. (<b>g</b>) Tie-Line power with the proposed controller with and without EVs.</p>
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<p>(<b>a</b>) Step variation in load, wind speed, and solar irradiance. (<b>b</b>) Frequency response of area 1 with fuzzy-PI-PDF controller. (<b>c</b>) Frequency response of area 2 with fuzzy-PI-PDF controller. (<b>d</b>) Tie-line Power of area 1 with fuzzy-PI-PDF controller. (<b>e</b>) Frequency response of area 1 with the proposed controller with and without EVs. (<b>f</b>) Frequency response of area 2 with the proposed controller with and without EVs. (<b>g</b>) Tie-Line power with the proposed controller with and without EVs.</p>
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<p>(<b>a</b>) Power responses of MG components of area 1. (<b>b</b>) Power responses of MG components of area 2.</p>
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<p>(<b>a</b>) Random variation in load, solar irradiance, and wind speed. (<b>b</b>) Frequency response of area 1 with the proposed control strategy. (<b>c</b>) Frequency response of area 2 with the proposed control strategy. (<b>d</b>) Tie-line power response with the proposed control strategy.</p>
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<p>(<b>a</b>) Power response of microgrid components of area 1. (<b>b</b>) Power response of MG components of area 2.</p>
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<p>(<b>a</b>) Frequency response of area 1 with non-linearity. (<b>b</b>) Tie-line power response with non-linearity.</p>
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<p>(<b>a</b>) Frequency response of area 1. (<b>b</b>) Frequency response of area 2.</p>
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