Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation
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This document is a Ph.D. dissertation by Marco Sotte on the design, testing, and mathematical modeling of parabolic trough solar collectors, supervised by Giovanni Latini and Massimo Paroncini at Università Politecnica delle Marche. It covers the development of prototypes, testing methodologies, and efficiency modeling for solar collectors, highlighting design characteristics and performance simulation results. The work aims to contribute to the understanding and optimization of solar energy systems in Italy.
Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation
- 1. Design,Test and Mathematical Modeling of Parabolic Trough Solar Collectors Ph.D. Dissertation of: Marco Sotte Advisor: Prof. Giovanni Latini Università Politecnica delle Marche Scuola di Dottorato di Ricerca in Scienze dell’Ingegneria Curriculum Energetica X edition - new series Curriculum Supervisor: Prof. Massimo Paroncini
- 2. This presentation is to be considered under GNU General Public License If you intend to use material contained in this presentation please cite it as: M. Sotte, 2012, “Design, Test and Mathematical Modeling of Parabolic Trough Solar Collectors”, Ph.D. Thesis dissertation, Università Politecnica delle Marche, Ancona, Italy If you need additional material on this subject: marcosotte@gmail.com
- 3. Contents Introduction Design and manufacture of prototypes PTC testing Mathematical model of a PTC Annual simulation of performances
- 4. Introduction electric energy 55% thermal energy 45% 1/5 data based on Italian energy consumption (source: Ministero Sviluppo Economico)
- 5. Introduction industrial 61% residential 39% 1/5 data based on Italian energy consumption (source: Ministero Sviluppo Economico)
- 6. Introduction 100-200°C = 4 Gtep (Italy) 1/5 data based on Italian energy consumption (source: Ministero Sviluppo Economico)
- 7. Univpm.01: design concept Design and Manufacture of Prototypes 2/5
- 8. Univpm.01 EPS-fiberglass sandwich = all-in-one realization of the frame and the parabolic shape hand lay-up molding method Design and Manufacture of Prototypes 2/5
- 9. Univpm.01 EPS-fiberglass sandwich = all-in-one realization of the frame and the parabolic shape hand lay-up molding method Design and Manufacture of Prototypes 2/5
- 10. Design and Manufacture of Prototypes Univpm.01 EPS-fiberglass sandwich = all-in-one realization of the frame and the parabolic shape hand lay-up molding method 2/5
- 11. Design and Manufacture of Prototypes Univpm.01 Focal distance (F) parabolic trough main characteristics m Rim angle (Φr) rad Parabola length (Lc) m Aperture area (Aap) m2 Sandwich thickness (t) m 0.25 π/2 2.10 1.85 0.05 2/5
- 12. focal distance (F) parabolic trough main characteristics m rim angle (Φr) rad parabola length (Lc) m aperture area (Aap) m2 sandwich thickness (t) m 0.550 π/2 2.525 5.770 0.05 inner Al diameter (dri) receiver characteristics mm outer Al diameter (dre) mm inner glass diameter (dvi) mm outer glass diameters (dve) mm receiver surface (Are) m2 25 30 46 48 0.249 C=Aap/Are=23.17 concentration ratio Design and Manufacture of Prototypes Univpm.02 2/5
- 13. Univpm.02 focal distance (F) parabolic trough main characteristics m rim angle (Φr) rad parabola length (Lc) m aperture area (Aap) m2 sandwich thickness (t) m 0.550 π/2 2.525 5.770 0.05 inner Al diameter (dri) receiver characteristics mm outer Al diameter (dre) mm inner glass diameter (dvi) mm outer glass diameters (dve) mm receiver surface (Are) m2 25 30 46 48 0.249 C=Are/Aap=23.17 concentration ratio Design and Manufacture of Prototypes VARTM vacuum assisted resin transfer molding process 2/5
- 14. PTC testing Tests on Univpm.01 hydraulic circuit test bench elements movement system instruments: temperature, mass flow rate and DNI water as working fluid temperature range: 25-75°C 3/5
- 15. PTC testing Results of the tests 3/5
- 16. PTC testing Design and realization of a test bench able to work with water and heat transfer oil testing temperature tange 10 - 150°C tests in compliance of standards: - ASHRAE St. 93/2010 - UNI-EN 12975 3/5
- 17. Mathematical model of a PTC Global efficiency Optical efficiency Thermal efficiency and 4/5
- 18. Mathematical model of a PTC Geometrical effects (optical model) 4/5
- 19. Mathematical model of a PTC Geometrical effects (optical model) 4/5
- 20. Mathematical model of a PTC Geometrical effects (optical model) 4/5
- 21. Mathematical model of a PTC - materials - manufacture and assembly - operation Intercept factor (optical model) Random errors Nonrandom errors (deterministc values) and 4/5
- 22. Mathematical model of a PTC Intercept factor (optical model) Universal error parameters 4/5
- 23. Mathematical model of a PTC Thermal model - definition 4/5
- 24. Mathematical model of a PTC Thermal model – remarks and implementation - laminar, transitional and turbolent flow of the fluid - implementation for both atmospheric and evacuated receiver - properties of fluid and air considered as a function of temperature - fourth order nonlinear algebraic system - implemented both for water and heat transfer oil as circulating fluids - iterative process for the solution of the system 4/5
- 25. Mathematical model of a PTC Thermal model – results cal 4/5
- 26. Mathematical model of a PTC Thermal model – results cal exp good agreement between exp and calculated efficiencies average difference 3.82 % max difference 14.05 % 4/5
- 27. Mathematical model of a PTC Thermal model – results cal opt 4/5
- 28. Mathematical model of a PTC Thermal model – results 4/5
- 29. Annual simulation of performance 5/5
- 30. Annual simulation of performance Simulation results: average day of the month of november 5/5
- 31. Annual simulation of performance Simulation results: monthly collected energy 5/5
- 32. Annual simulation of performance total DNI fallen in PTC producible useful Simulation results: total energies 5/5
- 33. Annual simulation of performance Simulation results: total energies PES = 0.85 MJ/m2 5/5
- 34. Design,Test and Mathematical Modeling of Parabolic Trough Solar Collectors Ph.D. Dissertation of: Marco Sotte Advisor: Prof. Giovanni Latini Università Politecnica delle Marche Scuola di Dottorato di Ricerca in Scienze dell’Ingegneria Curriculum Energetica X edition - new series Curriculum Supervisor: Prof. Massimo Paroncini
Editor's Notes
- #18: Fattore di rimozione termica Coefficiente globale di scambio termico Riflettanza speculare media della superficie riflettente Trasmissività del vetro attorno al ricevitore Assorbanza del ricevitore Fattore di intercettazione Fattore di riduzione geometrica Angolo di incidenza
- #19: Effetti di bordo
- #20: Ombregiamento dovuto a superfici trasversali
- #21: Ombreggiamento fra file adiacenti di moduli
- #22: Materiali imperfezioni nella specularità Realizzazione ed assemblaggio: errori locali di inclinazione, errori del profilo, disallineamento del riflettore, errato posizionamento del ricevitore Funzionamento: errori di inseguimento, incremento degli errori del profilo dovuto a vento o effetti legati alla temepratura, perdita di riflettanza, errato posizionamento del ricevitore per ragioni legate all’esercizio Radiazione incidente espressa modellando l’intensità del singolo raggio con una funzione distribuzione normale, deviazione standard raggio riflesso spostamento del valor medio del raggio riflesso