Modeling and numerical simulation of a parabolic trough collector using an HTF with temperature dependent physical properties

Kouche, Amal El; Gallego, Francisco Ortegón

doi:10.1016/j.matcom.2021.09.015

Cited by 9 publications

(8 citation statements)

References 27 publications

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“…q 5Scond : Conduction between the outer surface of the glass tube (5) and its support structures, according to Equation (14).…”

Section: Characteristics and Simulation Of Ptcsmentioning

confidence: 99%

“…A mathematical model of solar plants can be created using various techniques, and a nonlinear system of partial differential equations can accurately predict design features, operational parameters, and performance. 14,15 Concentrated solar power (CSP) or concentrated solar energy (CSE) alternatives have been developed to efficiently produce renewable thermal energy 16,17 and provide thermal energy to industrial processes such as a textile factory in Spain, 18 a pasteurization process in Austria, 19 a sea-water desalination plant in India, 20 a soft drinks factory in Cyprus. 8 Although CSP/CSE plants have been built in various countries, they are considered expensive to install in remote areas or in countries where they have not been previously implemented, such as developing and least-developed countries.…”

Section: Introductionmentioning

confidence: 99%

“…The operation and energy characteristics of solar plants can also be determined through mathematical simulation, 13 which includes estimating available solar irradiation, TES systems, overall plant size, and solar field size. A mathematical model of solar plants can be created using various techniques, and a nonlinear system of partial differential equations can accurately predict design features, operational parameters, and performance 14,15 …”

Section: Introductionmentioning

confidence: 99%

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Evaluation of solar thermal energy capture and storage alternatives for indirect steam generation: A case study

Zoratti

Godoy

2023

Energy Storage

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This study analyzes the integration of a solar thermal plant for indirect steam generation in a typical industrial process with thermal energy requirements. Solar irradiation is computed using a validated predictive model in Santa Fe province, Argentina. Three configurations are proposed, consisting of parabolic trough collectors and thermal storage tanks. Performance indicators, such as generated energy, resulting solar fraction (the fraction of the industrial process' thermal requirements met by solar energy), and necessary solar field area, are evaluated for each configuration. A specific energy map is generated, showing the solar generation potential at each location. For required solar fractions of 20%‐25%, incorporating a thermal storage system does not provide any benefits as the solar plant does not produce enough energy to contribute to the industrial process during winter months. For required solar fractions of 30%‐35%, the resulting solar fraction can be increased to 42%‐45% with additional capture area and thermal storage capacity. For required solar fractions of 37%‐40%, the thermal storage improves the efficiency of the solar plant, resulting in a solar fraction of 50%‐60%, allowing the industrial process to receive energy for at least 6 h a day throughout the year. It is concluded that these configurations are suitable for providing a portion of the industrial process' thermal requirements.

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“…q 5Scond : Conduction between the outer surface of the glass tube (5) and its support structures, according to Equation (14).…”

Section: Characteristics and Simulation Of Ptcsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Evaluation of solar thermal energy capture and storage alternatives for indirect steam generation: A case study

Zoratti

Godoy

2023

Energy Storage

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“…Nonlinear parabolic partial differential equations (NPPDE) have successfully modelled various realistic phenomena over the past years. NPPDE was used to develop a mathematical model of plant disease epidemiology [1], sediment transport [2], solar trough collector [3], reactive settling in wastewater treatment [4] and diffusion of the biological population [5]. These nonlinear mathematical models resemble phenomena more than linear partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

Half-sweep Modified SOR Approximation of A Two-dimensional Nonlinear Parabolic Partial Differential Equation

Chew¹,

Sulaiman²,

Sunarto³

et al. 2023

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The sole subject of this numerical analysis was the half-sweep modified successive over-relaxation approach (HSMSOR), which takes the form of an iterative formula. This study computed a class of two-dimensional nonlinear parabolic partial differential equations subject to Dirichlet boundary conditions numerically using the implicit-type finite difference scheme. The computational cost optimization was considered by converting the traditional implicit finite difference approximation into the half-sweep finite difference approximation. The implementation required inner-outer iteration cycles, the second-order Newton method, and a linearization technique. The created HSMSOR is utilized to obtain an approximation of the linearized equations system through the inner iteration cycle. In contrast, the problem's numerical solutions are obtained using the outer iteration cycle. The study examined the local truncation error and the stability, convergence, and method analysis. Results from three initial-boundary value issues showed that the proposed method had competitive computational costs compared to the existing method.

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“…This compensatory technique is effective for sizable trough collectors since the thermal dissipation percentage of the unheated region of the receiver was minimal in comparison to the overall system's heat-collecting efficiency. El Kouche and Gallego 31 developed the numerical simulations of a PTC with temperature based on physical features. Mathematical expressions were created.…”

Section: Introductionmentioning

confidence: 99%

A novel dual feedwater circuit for a parabolic trough solar power plant

Al-Maliki

Alsaedi

Khafaji

et al. 2023

Sci Rep

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The validated dynamic model of a parabolic trough power plant (PTPP) is improved by the combination of a new feedwater circuit (feedwater/HTF circuit) and a reference feedwater circuit (feedwater/steam circuit) as well as the development of the steam turbine model. Such design represents the first effort of research to utilize a dual feedwater circuit inside the PTPP to increase the power output in the daylight from 50 to 68 MWel and raise night operating hours at a lower cost. The purpose of increasing the operating night hours at a power (48 MWel) as in the reference PTPP is to get rid of the fossil fuel backup system and rely only on the absorbed solar energy and the stored energy in the molten salt. During daylight hours, the feedwater circuit is operated using Feedwater/HTF. In the transient period, the feedwater/HTF circuit will gradually be closed due to a decrease in solar radiation. Furthermore, the rest of the nominal feedwater mass flow rate (49 kg/s) is gradually replenished from the feedwater/steam circuit. After sunset, the entirety of the feedwater is heated based on the steam extracted from the turbine. The purpose of this improvement is to raise the number of nightly operational hours by reducing the nominal load from 61.93 to 48 MWel as a result of low energy demand during the evening hours. Therefore, a comparison study between the reference model and this optimization (optimization 2) is conducted for clear days (26th–27th/June and 13th–14th/July 2010) in order to understand the influence of dual feedwater circuit. The comparison indicates that the operational hours of the power block (PB) will be obviously increased. Moreover, this improvement reduces based on the fossil fuel system at night. As the last step, an economic analysis was performed on the costs of the referenced and the optimized PTPP as a function of the levelized energy cost (LEC). The results illustrate that the specific energy cost of a PTPP with 7.5 h of storage capacity is lowered by about 14.5% by increasing the output of the PTPP from 50 to 68 MWel.

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Modeling and numerical simulation of a parabolic trough collector using an HTF with temperature dependent physical properties

Cited by 9 publications

References 27 publications

Evaluation of solar thermal energy capture and storage alternatives for indirect steam generation: A case study

Evaluation of solar thermal energy capture and storage alternatives for indirect steam generation: A case study

Half-sweep Modified SOR Approximation of A Two-dimensional Nonlinear Parabolic Partial Differential Equation

A novel dual feedwater circuit for a parabolic trough solar power plant

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