Transcript
Page 1: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 2: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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]

Page 3: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

ContentsContents

Introduction

Design and manufacture of prototypes

PTC testing

Mathematical model of a PTC

Annual simulation of performancesAnnual simulation of performances

Page 4: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

IntroductionIntroduction

electric energy55%

thermal energy45%

1/51/5

data based on Italian energy consumption (source: Ministero Sviluppo Economico)

Page 5: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

IntroductionIntroductionindustrial

61%

residential39%

1/51/5

data based on Italian energy consumption (source: Ministero Sviluppo Economico)

Page 6: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

IntroductionIntroduction

100-200°C = 4 Gtep

(Italy)

1/51/5

data based on Italian energy consumption (source: Ministero Sviluppo Economico)

Page 7: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Univpm.01: design concept

Design and Manufacture of PrototypesDesign and Manufacture of Prototypes 2/52/5

Page 8: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 9: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 10: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 11: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 12: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 13: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 14: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

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PTC testingPTC testing

Results of the tests

3/53/5

Page 16: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 17: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Global efficiency

Optical efficiency

Thermal efficiency

and

4/54/5

Page 18: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Geometrical effects (optical model)

4/54/5

Page 19: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Geometrical effects (optical model)

4/54/5

Page 20: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Geometrical effects (optical model)

4/54/5

Page 21: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

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Mathematical model of a PTC Mathematical model of a PTC

Intercept factor (optical model)

Universal error parameters

4/54/5

Page 23: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Thermal model - definition

4/54/5

Page 24: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 25: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Thermal model – results

cal

4/54/5

Page 26: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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

Page 27: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Thermal model – results

cal

opt

4/54/5

Page 28: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Mathematical model of a PTC Mathematical model of a PTC

Thermal model – results

4/54/5

Page 29: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Annual simulation of performanceAnnual simulation of performance 5/55/5

Page 30: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Annual simulation of performanceAnnual simulation of performance

Simulation results: average day of the month of november

5/55/5

Page 31: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Annual simulation of performanceAnnual simulation of performance

Simulation results: monthly collected energy

5/55/5

Page 32: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Annual simulation of performanceAnnual simulation of performance

total DNI fallen in PTC

producible

useful

Simulation results: total energies

5/55/5

Page 33: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

Annual simulation of performanceAnnual simulation of performance

Simulation results: total energies

PES = 0.85 MJ/m2

5/55/5

Page 34: Design, test and mathematica modeling of parabolic trough solat collectors (PTC); PhD Thesys dissertation

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


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