Design, Testand Mathematical Modeling
of Parabolic Trough Solar Collectors
Design, Testand Mathematical Modeling
of Parabolic Trough Solar Collectors
Ph.D. Dissertation of:Marco Sotte
Advisor:Prof. Giovanni Latini
Università Politecnica delle MarcheScuola di Dottorato di Ricerca in Scienze dell’Ingegneria
Curriculum Energetica
X edition - new series
Curriculum Supervisor:Prof. Massimo Paroncini
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:[email protected]
ContentsContents
Introduction
Design and manufacture of prototypes
PTC testing
Mathematical model of a PTC
Annual simulation of performancesAnnual simulation of performances
IntroductionIntroduction
electric energy55%
thermal energy45%
1/51/5
data based on Italian energy consumption (source: Ministero Sviluppo Economico)
IntroductionIntroductionindustrial
61%
residential39%
1/51/5
data based on Italian energy consumption (source: Ministero Sviluppo Economico)
IntroductionIntroduction
100-200°C = 4 Gtep
(Italy)
1/51/5
data based on Italian energy consumption (source: Ministero Sviluppo Economico)
Univpm.01: design concept
Design and Manufacture of PrototypesDesign and Manufacture of Prototypes 2/52/5
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 PrototypesDesign and Manufacture of Prototypes 2/52/5
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 PrototypesDesign and Manufacture of Prototypes 2/52/5
Design and Manufacture of PrototypesDesign 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
2/52/5
Design and Manufacture of PrototypesDesign and Manufacture of Prototypes
Univpm.01
Focal distance (F)
parabolic trough main characteristics
mRim angle (Φr) radParabola length (Lc) m Aperture area (Aap) m2
Sandwich thickness (t) m
0.25π/2
2.101.850.05
2/52/5
focal distance (F)
parabolic trough main characteristics
mrim angle (Φr) radparabola length (Lc) m aperture area (Aap) m2
sandwich thickness (t) m
0.550π/2
2.5255.770
0.05
inner Al diameter (dri)
receiver characteristics
mmouter Al diameter (dre) mm
inner glass diameter (dvi) mm outer glass diameters (dve) mm
receiver surface (Are) m2
25304648
0.249
C=Aap/Are=23.17
concentration ratio
Design and Manufacture of PrototypesDesign and Manufacture of Prototypes
Univpm.02
2/52/5
Univpm.02
focal distance (F)
parabolic trough main characteristics
mrim angle (Φr) radparabola length (Lc) m aperture area (Aap) m2
sandwich thickness (t) m
0.550π/2
2.5255.770
0.05
inner Al diameter (dri)
receiver characteristics
mmouter Al diameter (dre) mm
inner glass diameter (dvi) mm outer glass diameters (dve) mm
receiver surface (Are) m2
25304648
0.249
C=Are/Aap=23.17
concentration ratio
Design and Manufacture of PrototypesDesign and Manufacture of Prototypes
VARTMvacuum assisted
resin transfer molding process
2/52/5
PTC testingPTC testing
Tests on Univpm.01
hydraulic circuit
test bench elements
movement systeminstruments:
temperature, mass flow rate and DNI
water as working fluid
temperature range:25-75°C
3/53/5
PTC testingPTC testing
Results of the tests
3/53/5
PTC testingPTC testing
Design and realization of a test benchable to work with water and heat transfer oiltesting temperature tange 10 - 150°C
tests in compliance of standards:
- ASHRAE St. 93/2010- UNI-EN 12975
3/53/5
Mathematical model of a PTC Mathematical model of a PTC
Global efficiency
Optical efficiency
Thermal efficiency
and
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Geometrical effects (optical model)
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Geometrical effects (optical model)
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Geometrical effects (optical model)
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
- materials
- manufacture and assembly
- operation
Intercept factor (optical model)
Random errors
Nonrandom errors (deterministc values)
and
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Intercept factor (optical model)
Universal error parameters
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Thermal model - definition
4/54/5
Mathematical model of a PTC 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
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Thermal model – results
cal
4/54/5
Mathematical model of a PTC 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 %
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Thermal model – results
cal
opt
4/54/5
Mathematical model of a PTC Mathematical model of a PTC
Thermal model – results
4/54/5
Annual simulation of performanceAnnual simulation of performance 5/55/5
Annual simulation of performanceAnnual simulation of performance
Simulation results: average day of the month of november
5/55/5
Annual simulation of performanceAnnual simulation of performance
Simulation results: monthly collected energy
5/55/5
Annual simulation of performanceAnnual simulation of performance
total DNI fallen in PTC
producible
useful
Simulation results: total energies
5/55/5
Annual simulation of performanceAnnual simulation of performance
Simulation results: total energies
PES = 0.85 MJ/m2
5/55/5
Design, Testand Mathematical Modeling
of Parabolic Trough Solar Collectors
Ph.D. Dissertation of:Marco Sotte
Advisor:Prof. Giovanni Latini
Università Politecnica delle MarcheScuola di Dottorato di Ricerca in Scienze dell’Ingegneria
Curriculum Energetica
X edition - new series
Curriculum Supervisor:Prof. Massimo Paroncini