Mathematical Modelling of Solar Thermal Collectors and Storages

Tóth, János; Farkas, I.

doi:10.2478/ata-2019-0023

Cited by 3 publications

(4 citation statements)

References 6 publications

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“…The ideal voltage can be given by Equation (17). Moreover, ionic conductivities are given as in [45] provides a complex and detailed way to study the solar heating process [46]. Therefore, DEM is adopted for this study.…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Modeling and Simulation of Solid Oxide Fuel Cell Integrated with Anaerobic Digester, Thermal Storage Unit and Solar Collector: A Net Zero Emission System

Naseer

Kamal

Abid

et al. 2022

International Journal of Photoenergy

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Energy production from clean and green sources is one of the eminent challenges to mankind. Overall, all industrial sectors contribute to CO2 emission, but the energy production sector is a major contributor. In recent years, CO2 emissions from the energy sector have increased by 1.7%. Therefore, the development of alternative energy production sources is a pivot for researchers. In this regard, the fuel cell has been a promising technology but still accompanied by the release of greenhouse gasses but relatively lower than that of fossil fuels. The integration of the fuel cell to the biogas has been a promising factor to reduce emissions. This study contributes to the same by producing a self-sustaining biogas-fuel cell multigeneration system for cold areas. Mathematical modeling of all complements of the system, i.e., anaerobic digester, solid oxide fuel cell, solar collector, and thermal storage system, is provided. MATLAB/Simulink environment is used for simulation of the system. The proposed system will use an anaerobic digester for methane production. Hence, produced methane will be used to power solid oxide fuel cell. The electricity of the fuel cell will power the residential place, and the thermal potential of the exhaust will be stored. In daylight, the solar thermal potential will be utilized for district heating. In the absence of solar light, stored thermal energy will be used for district heating and hot water supply. Additionally, the CO2 emitted from the system will not be released into the environment but stored for industrial purposes. The best area of application of the proposed system is cold areas such as Switzerland.

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Section: Mathematical Modelingmentioning

confidence: 99%

“…The solar radiation intensity is adopted at 221 Wm -2 as an average value for Pakistan [55]. Additional parameters are adopted from [46]. The final Simulink model is described in Figure 14.…”

Section: Simulink Model Of Solarmentioning

confidence: 99%

Modeling and Simulation of Solid Oxide Fuel Cell Integrated with Anaerobic Digester, Thermal Storage Unit and Solar Collector: A Net Zero Emission System

Naseer

Kamal

Abid

et al. 2022

International Journal of Photoenergy

View full text Add to dashboard Cite

show abstract

“…Furthermore, in order to maximise solar production, storage density (the amount of energy stored per volume or mass), appliance efficiency (solar collectors, tanks, and so on), and demand consumption [18], are critical aspects in determining the storage tank's capability for PCM [19], Due to the irregular nature of solar energy, this could be effective in meeting energy demand. Whereas several simulation attempts have been carried out to determine the performance of water storage tanks with PCM [20], there are no references to model the optimisation of the working variables [16], because it causes 2 k experiments to run, where k is the number of factors.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling and Experimentation of Soy Wax 68℃ Encapsulated into Solar Tank (Case Study)

Ghabour,

Amer,

Korzenszky

2023

HAE

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Governments worldwide are attempting to minimise CO2 emissions, and solar energy storage remains the most difficult problem to tackle in the current climate. Typically, domestic hot water is mainly used for heat process services in colder climates when the tank loss is significant. Any design modification can result in a higher solar yield. Since water is a perfect medium for heat storage, this article will examine different Solar Domestic Hot Water (SDHW) systems in cold climates such as Central Europe and hot and dry climates such as the Middle East (Syria). Linear modelling was conducted using R script software using coded values to define the optimal value using the response surface method (RSM). The programming phase uses the least-squares approach to provide a general rationale for the line's best-match position among the data points under consideration. For each variable, the coded values range from [-1, +1]. The number of experiments is determined by the formula 2k , where k is the variable number. Since each variable has two possible values [-1, +1], the total number of experiments was 23= 8. In addition to these experiments, we performed one more experiment for defining second-degree non-linear coefficients. The second-degree factors were checked to evaluate the non-linearity of the system. The experimental work was done in the laboratory; an insulated water tank filled with 5 litres of water was used. A capsulated PCM soy wax 68℃ test was conducted. For the charging phase, the response surface approach with non-linear correlation was used to determine the optimal number of samples and PCM quantity at two temperature levels. The results of temperature, sample numbers, and wax quantity demonstrate a 0.22, 2.3, and -1.12 first-degree magnitude effect, respectively. In addition, each two-factor interaction contour plot is depicted.

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“…In all these researches, theoretical and experimental results are compared and found a good agreement. On the other hand, modelling with MATLAB became more common since it has several environment blocks such as SimSolar, which gives a highly accepted accuracy rate reaching up to 0.03 °C [19]. On the one hand, T*SOL is a minute-by-minute dynamic simulation program for the calculation, optimisation, and design of solar thermal systems.…”

Section: Introductionmentioning

confidence: 99%

Linear Model of DHW System Using Response Surface Method Approach

2022

Teh. vjesn.

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Using alternative and clean energy resources is considered the most effective method to deal with the environment and energy crises nowadays. In this study a comparative analysis of FPC data for DHW are theoretically and experimentally evaluated to optimise the design parameters. A forced circulation solar heating system using flat-plate collector, is modelled using T*SOL as a new approach, for hot water requirements of a laboratory unit at Szent Istvan University, in Gödöllő, Hungary. The modelling shows 69% solar fraction and 510 kWh annual solar gain. Furthermore, the comparison study was based on these two factors, and the two results matched with 93.12% accuracy. After the modelling, practically, the exergy analysis was conducted to determine and highlight the losses of the system. Since Hungary is considered a cold climate country, it was found that the thermal and optical losses from the collector and the piping system were tremendous. Then all the necessary design parameters were studied to achieve the optimal working points using non-linear correlation response surface method (RSM, which has never been used as an analysis tool in the solar field) at two perspectives (solar fraction and annual yield) for seven factors using R script. The factors were collector surface area, inclination angle, glycol-water ratio, tank capacity, boiler capacity, desired hot water temperature, and volume flow-rate. We identified the most influential single factors using ParetoPlot and each two-factorsꞌ interaction using contour plots. The most influential factors on the solar yield are solar collector surface area, tank capacity, desired hot water temperature and volume flow rate by magnitude effects of +129.7, +125.3, +50.9 and +17.2 kWh per annum, respectively.

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Mathematical Modelling of Solar Thermal Collectors and Storages

Cited by 3 publications

References 6 publications

Modeling and Simulation of Solid Oxide Fuel Cell Integrated with Anaerobic Digester, Thermal Storage Unit and Solar Collector: A Net Zero Emission System

Modeling and Simulation of Solid Oxide Fuel Cell Integrated with Anaerobic Digester, Thermal Storage Unit and Solar Collector: A Net Zero Emission System

Mathematical Modelling and Experimentation of Soy Wax 68℃ Encapsulated into Solar Tank (Case Study)

Linear Model of DHW System Using Response Surface Method Approach

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