PERFORMANCE EVALUATION OF
SEMITRANSPARENT PHOTOVOLTAIC THERMAL SYSTEM INTEGRATED WITH BUILDING
NEHA GUPTA
CENTRE FOR ENERGY STUDIES
INDIAN INSTITUTE OF TECHNOLOGY DELHI
OCTOBER 2017
© Indian Institute of Technology Delhi (IITD), New Delhi, 2017
PERFORMANCE EVALUATION OF
SEMITRANSPARENT PHOTOVOLTAIC THERMAL SYSTEM INTEGRATED WITH BUILDING
by
NEHA GUPTA
Centre for Energy Studies
Submitted
in fulfillment of the requirements of the degree of Doctor of Philosophy to the
INDIAN INSTITUTE OF TECHNOLOGY DELHI
OCTOBER 2017
Dedicated to my parents
i
Certificate
This is to certify that the thesis entitled “Performance Evaluation of Semitransparent Photovoltaic Thermal System integrated with Building” being submitted by Neha Gupta to the Indian Institute of Technology Delhi, is worthy of consideration for the award of the degree of
‘Doctor of Philosophy’ and is a record of the original bona fide research work carried out by her under our guidance and supervision. The results contained in the thesis have not been submitted in part or full, to any other University or Institute for the award of any degree or diploma.
(Dr. G.N. Tiwari) (Dr. T. S. Bhatti)
President Professor
Bag Energy Research Society (BERS) Centre for Energy Studies
11-B, Gyan Khan IV Indian Institute of Technology Delhi
Indirapuram Hauz Khas, New Delhi-110016
Ghaziabad, U.P- 201010 India
India
(http://bers.in/)
Date:
iii
Acknowledgements
I am deeply indebted to my supervisor, Prof. (Dr.) G.N Tiwari for his stimulating motivation, continuous guidance, encouragement and immense knowledge throughout my research work. His guidance helped me immensely during the research and writing of this thesis. I cannot imagine having a better supervisor and mentor for my research work.
I am very thankful to Prof. (Dr.) T.S. Bhatti for his valuable time, support, encouragement and guidance which helped me complete this work.
My sincere gratitude to Prof. (Dr.) Arvind Tiwari for providing moral support and encouragement from time to time.
A special thanks to my loving family and friends. Words cannot express how grateful I am to my grandparents, parents, brother, sister- in- law and niece. Their continuous prayers, praise and cheer helped me sustain. They have always supported me whenever I needed them. I would also like to express my deep gratitude towards my brother Ashish Gupta and friend Pooja Saxena for her time all along this journey, to bounce off ideas and patiently proof-read my thesis.
I would like to thank and convey my deep gratitude to my colleagues: Mr. Shyam, Mr. Rohit Tripathi, Ms. Neha Dimri and Mr. Lovdeep Sahota for their support and cooperation, without which my job would have undoubtedly been more difficult.
Date: October, 2017 (Neha Gupta)
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Abstract
In this thesis, the review of various passive heating and cooling concepts has been done.
Photovoltaic (PV) Thermal systems integrated with the buildings have also been studied. The performance of Building integrated Semitransparent Photovoltaic Thermal (BiSPVT) system have been analyzed in four cases, namely (A) Energy and exergy analysis of Semitransparent Photovoltaic (SPV) modules integrated with the rooftop of the building, (B) Effect of water flow on SPV modules to analyze the cooling effect offered by evaporative cooling over performance of BiSPVT system, (C) Exergy analysis of effect of heat capacity (water mass placed inside the room) on the BiSPVT system and (D) Performance of BiSPVT system with both water mass and water flow over the SPV modules.
Energy balance equations and analytical expressions for various concerned temperatures (room air, floor, solar cell, water tank, water mass, water flow), solar cell electrical efficiency for the concerned cases have been derived for given design parameters. Further, daylight savings, electrical energy, thermal and exergy efficiency have been evaluated. The analytical results of all the proposed cases have been compared with each other to understand the effectiveness of each system. Effect of number of air changes, velocity, packing factor, water mass and mass flow rate have also been taken into consideration. In addition, a case study has also been conducted to understand the energy matrices of BiSPVT system.
It has been reported that for given design parameters and climatic conditions:
• About 1.17 % increase was found in the overall thermal exergy with increase in the number of air changes from 0 to 4 (Chapter 2, case A).
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• Optimization of packing factor from 0.89 to 0.225 can result an increase in the solar cell electrical efficiency by 7.61 % (Chapter 3, case B).
• With flow of water over the SPV modules (case B), an increase in the electrical efficiency by 2.7 % was found when compared to case A (Chapter 3).
• Heat capacity and water flow over the SPV modules have no impact on the daylight savings.
• Increase in water mass (from 0 kg to 600 kg) helps in reducing the thermal load levelling by 20.39 % (Chapter 4, case C).
• With introduction of heat capacity of 600 kg (Case C), a drop of 27.5 ˚C in room air temperature was noted when compared to Case A (Chapter 4).
• Increase of 0.024 (by fraction) in solar cell electrical efficiency if found in Case D as compared to Case C (Chapter 5).
• Minimum energy pay-back time, maximum energy production factor and maximum life cycle conversion efficiency are achieved for greater temperature difference between the room and the ambient (Chapter 6).
• The theoretical and experimental results for room air and solar cell temperature were verified with 0.97 as correlation coefficient, which indicated a fair agreement between the theoretical and experimental results for case A.
Finally, the overall conclusions for the present research work have been presented and discussed. All the cases have been compared under similar design parameters and climatic conditions. The suitable future scope of work has also been made on the basis of the research work done so far.
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साराांश
इस अनुसंधान कार्य में, विविन्न वनष्क्रिर् हीव ंग और कूव ंग अिधारणाओं की समीक्षा की गई है। इमारत ं के साथ एकीकृत फ ि ष्क्रिक (पीिी) थमय वसस्टम का िी अध्यर्न वकर्ा गर्ा है। बिल्डिंग इिंटीग्रेटेड सेमी
ट्रिंसपेरेंट फोटोवोल्िक थममल (िी.आई.एस.पी.वी.टी) बसस्टम के प्रदर्यन का विश्लेषण चार माम ं में वकर्ा
गर्ा है, अथायत् (ए) इमारत की छत के साथ एकीकृत सेमी ्ांसपें फोटोवोल्िक (एस.पी.िी) मॉड्यू की
ऊर्ाय और एक्सर्जी विश्लेषण, (बी) िी.आई.एस.पी.वी.टी प्रणा ी के वनष्पादन पर िाष्पीकरणीर् ठंडा ह ने के
कारण एस.पी.वी.मॉड्यू पर पानी के प्रिाह से की र्ाने िा ी ठंडक के प्रिाि का विश्लेषण, (सी)
िी.आई.एस.पी.वी.टी प्रणा ी पर ही कैपेवस ी (कमरे के अंदर रखा गर्ा पानी) के प्रिाि का एक्सर्जी
विश्लेषण और (डी) एस.पी.िी मॉड्यू पर ही कैपेवस ी और र् प्रिाह द न ं के साथ िी.आई.एस.पी.वी.टी
प्रणा ी का प्रदर्यन।
विविन्न संबंवधत तापमान (कमरे में हिा, फर्य, सौर से , पानी की ंकी, िा र मास, र् प्रिाह), सौर से
दक्षता के व ए ऊर्ाय र्ेष समीकरण ं और विश्लेषणात्मक अविव्यष्क्रिर्ां, सम्बष्क्रित माम ं के व ए वदए गए वडर्ाइन पैरामी र के व ए प्राप्त की गई है। इसके अ ािा, डे- ाइ सेविंग, इ ेष्क्रर्क ऊर्ाय, थमय और एक्सर्जी दक्षता का मूल्ांकन वकर्ा गर्ा है। प्रत्येक प्रणा ी की प्रिािर्ी ता क समझने के व ए सिी
प्रस्तावित माम ं के विश्लेषणात्मक पररणाम एक-दूसरे के साथ तु ना वकए गए हैं। िार्ु पररितयन, गवत, पैवकंग फैरर, िा र मास और मास फ्ल रे की संख्या क िी ध्यान में रखा गर्ा है। इसके अ ािा,
िी.आई.एस.पी.वी.टी वसस्टम के ऊर्ाय मैव ्क्स क समझने के व ए एक केस स्टडी िी की गई है।
वदए गए वडर्ाइन पैरामी र और र् िार्ु पररष्क्रथथवतर् ं के व ए वनम्न वनष्कषय हैं:
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• 0 से ४ तक हिा में पररितयन की संख्या में िृष्क्रि के साथ, ओिरआ थमय एक्सर्जी में गिग १.१७ % िृष्क्रि
हुई (अध्यार् २, केस ए)।
• 0.८९ से 0. २२५ तक पैवकंग फैरर के ऑविमाइर्ेर्न के पररणामस्वरूप सौर से इ ेष्क्रर्क दक्षता में
७.६१ % की िृष्क्रि ह सकती है (अध्यार् ३, केस बी)।
• केस ए की तु ना में, एस.पी.वी. मॉड्यू (केस बी) पर पानी के प्रिाह के कारण वबर् ी की दक्षता में २.७ % की िृष्क्रि हुई (अध्यार् ३) ।
• ही कैपेवस ी और एस.पी.वी. मॉड्यू के ऊपर पानी के प्रिाह के कारण डे- ाइ सेविंग्स पर क ई प्रिाि
नहीं पड़ता है।
• िा र मास में िृष्क्रि (0 वक ग्राम से ेकर ६00 वक ग्राम तक) थमय ड स्तर क २0. ३९ % कम करने में
मदद करता है (अध्यार् ४, केस सी) ।
• केस ए की तु ना में, ६00 वक ग्राम की ही कैपेवस ी (केस सी) के कारण, कमरे में हिा के तापमान में
२७.५ वडग्री सेष्क्रिर्स की वगराि दर्य की गई (अध्यार् ४) ।
• केस सी की तु ना में केस डी में सौर से विद्र्ुत दक्षता में २.४ % में िृष्क्रि दर्य की गई (अध्यार् ५) ।
• कमरे और एष्क्रम्बएं के बीच अवधक तापमान के अंतर के व ए न्यूनतम एनर्जी पे- बैक ाइम, अवधकतम एनर्जी प्र डक्शन फैरर और अवधकतम ाइफ साइवक कन्वर्यन दक्षता प्राप्त की गई है (अध्यार् ६) ।
• कमरे में हिा और सौर से के तापमान के व ए सैिांवतक और प्रार् वगक पररणाम 0.९७ के साथ सहसंबंध गुणांक के रूप में सत्यावपत वकए गए थे, वर्समें केस ए के सैिांवतक और प्रार् वगक पररणाम ं के बीच एक उवचत सह-संबंध बतार्ा गर्ा है।
अंत में, ितयमान अनुसंधान कार्य के व ए समग्र वनष्कषय प्रस्तुत वकए गए हैं और चचाय की गई है। सिी माम ं की तु ना समान वडर्ाइन पैरामी र और र् िार्ु पररष्क्रथथवतर् ंके साथ की गई है। अब तक वकए गए अनुसंधान के आधार पर उपर ि कार्य के िविष्य की संिािना का िी सुझाि वदर्ा गर्ा है।
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Table of contents
Certificate i
Acknowledgements iii
Abstract iii
साराांश v
Table of contents vii
List of figures xii
List of tables xvii
Nomenclature xix
Design parameters xxii
List of abbreviations xxiv
Chapter 1 : General introduction 1
1.1 Introduction 2
1.2 Passive heating concepts 2
1.2.1 Direct gain 3
1.2.2 Indirect gain 4
1.3 Passive cooling concepts 5
1.3.1 Evaporative cooling 6
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1.3.2 Natural ventilation 7
1.3.3 Daylight 7
1.3.4 Passive building design 8
1.4 Building integrated photovoltaic systems 18
1.5 Research objectives 18
1.6 Thesis outline 24
Chapter 2 : Exergy analysis of semitransparent photovoltaic thermal system integrated
with building 26
2.1 Introduction 27
2.2 Working principle 28
2.3 Thermal modelling 29
2.4 Energy balance for BiSPVT system 30
2.5 Exergy analysis 33
2.5.1Electrical energy 33
2.5.2 Thermal exergy 34
2.5.3 Exergy of solar radiation 35
2.5.4 Overall exergy 35
2.5.5Exergy efficiency 36
2.6 Thermal efficiency 36
2.7 Methodology 36
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2.8 Results and discussions 37
2.9 Experimental validation 45
2.10 Conclusions 48
Chapter 3 : Effect of water flow over semitransparent photovoltaic thermal system
integrated with building 49
3.1 Introduction 50
3.2 Working principle 51
3.3Thermal modeling 52
3.4Energy balance for BiSPVT system with water flow 53
3.5 Methodology 57
3.6 Results and discussions 59
3.7 Conclusions 67
Chapter 4 : Effect of heat capacity on exergy performance of semitransparent photovoltaic
thermal system integrated with building 69
4.1 Introduction 70
4.2 Working principle 71
4.3Thermal modelling 72
4.4 Energy balance for BiSPVT system with water mass 73
4.5 Exergy analysis 75
4.5.1 Thermal exergy 75
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4.5.2 Overall exergy 75
4.5.3 Exergy efficiency 76
4.6 Thermal efficiency 76
4.7 Methodology 76
4.8 Results and Discussions 78
4.9 Conclusions 87
Chapter 5 : Effect of heat capacity and watre flow over semitransparent photovoltaic
thermal system integrated with building 89
5.1 Introduction 90
5.2 Working principle 90
5.3 Thermal modelling 91
5.4Energy balance for BiSPVT system with water mass and water flow 91
5.5Methodology 95
5.6 Results and Discussions 97
5.7 Conclusions 102
Chapter 6 : Energy matrices of semitransparent photovoltaic thermal system integrated
with building: A case study 103
6.1 Introduction 104
6.2 Description of Sodha Bers Complex, Varanasi 105
6.2.1 Basement floor 106
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6.2.2 Ground, first, second and third floor 106
6.2.3 Terrace floor 107
6.3 Energy matrices (Life cycle analysis) of Sodha Bers Complex 110
6.3.1 Thermal heat gain 112
6.3.2 Electrical energy 113
6.3.3 Daylight savings 114
6.3.4 Total energy generated per year 115
6.3.5 Embodied energy 115
6.3.6 Energy pay back time 116
6.3.7 Energy production factor 117
6.3.8 Life cycle conversion efficiency 118
6.4 Results and Discussions 118
6.5 Conclusions 120
Chapter 7 : Conclusions and future scope of work 121
7.1 Conclusions 122
7.2 Future scope of work 127
References 128
List of publications 143
Brief Bio-data of the author 146
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List of figures
Fig. 1.1(a): Schematic description of direct gain. 3
Fig. 1.1(b): Schematic depiction of indirect gain. 5
Fig. 1.1(c): Schematic depiction of direct and indirect gain for SPV system integrated with
buildings. 5
Fig. 1.2: Classification of Building integrated photovoltaic systems. 19 Fig. 2.1: Cross sectional view of building integrated semitransparent photovoltaic thermal
system. 29
Fig. 2.2: Hourly variation of solar intensity and ambient air temperature for a typical day in the
month of January (winter), Varanasi, India. 38
Fig. 2.3: Effect of number of air changes per hour on (a) hourly variation of room air
temperature (Tr) and (b) TLL. 39
Fig. 2.4: Effect of number of air changes per hour on hourly variation of solar cell temperature
(Tc). 39
Fig. 2.5: Effect of number of air changes per hour on hourly variation of solar cell electrical
efficiency (ηc). 40
Fig. 2.6: Effect of number of air changes per hour on hourly variation of floor temperature
(Tf) 40
Fig. 2.7(a): Effect of number of air changes per hour on hourly variation of electrical energy
(Ėe). 41
xiii
Fig. 2.7(b): Hourly variation of total thermal exergy based on second law (Ė𝑥𝑡ℎ(𝑖)) and first law
of thermodynamics (Ėxth(ii)) for N=2. 41
Fig. 2.7(c): Effect of number of air changes per hour on hourly variation of thermal exergy from
floor to room air (Ėxthf(ii)). 42
Fig. 2.7(d): Effect of number of air changes per hour on hourly variation of thermal exergy from
PV module to room air (Ėxthc(ii)). 42
Fig. 2.7(e): Effect of number of air changes per hour on hourly variation of total thermal exergy
(Ėxth(ii)). 43
Fig. 2.7(f): Hourly daylight energy savings. 43
Fig. 2.8(a): Effect of number of air changes per hour on (a) hourly variation of overall exergy
and (b) on daily variation of overall exergy. 44
Fig. 2.9: Experimental setup. 46
Fig. 2.10: Hourly variation of solar intensity and ambient air temperature for a typical day of
September, New Delhi, India. 47
Fig. 2.11: Hourly variation of room air temperature of theoretical model (Tr, Th’), room air temperature of experimental setup (Tr, Ex’), solar cell temperature for theoretical model (Tc, Th’) and solar cell temperature for experimental setup (Tc, Ex’). 47 Fig. 3.1: BiSPVT system with water flow (a) Cross sectional view and (b) Sectional detail. 52
Fig. 3.1(c): Cross section of the elemental area bdx. 53
Fig. 3.2: Hourly variation of solar intensity and ambient air temperature for a typical day in the month of June (summer), New Delhi, India for passice cooling. 60 Fig. 3.3(a): Hourly variation of ambient temperature, room air temperature (with and without water flow), solar cell temperature and floor temperature for N=1 and v= 1 m/s. 60
xiv
Fig. 3.3(b): Effect of relative humidity on the hourly variation of room air temperature for the
month of June. for passive cooling. 61
Fig. 3.3(c): The hourly variation of room air temperature (with water flow) for different months
of New Delhi. 62
Fig. 3.3(d): Daily maximum room air temperature (with water flow) for different months of New
Delhi. 62
Fig. 3.4: Hourly variation of electrical efficiency of solar cell and solar cell temperature (with
and without water flow) for N=1 and v= 1 m/s. 63
Fig. 3.5: Various temperature difference between with and without water flow over the BiSPVT system at (a) constant v (v= 1 m/s), varying N and (b) constant N (N=1), varying velocity. 64 Fig. 3.6: Solar cell electrical efficiency with water flow at (a) constant N (N=1),varying velocity
and (b) constant velocity (v= 1 m/s), varying N. 64
Fig. 3.7: Effect of packing factor on BiSPVT system with water flow for N=1 and v= 1 m/s on (a) room air, solar cell and floor temperature and (b) solar cell electrical efficiency. 65 Fig. 3.8: Effect of packing factor on (a) Electrical energy and (b) daylight savings. 66 Fig. 3.8(c): Daily electrical energy produced by the proposed system for different months of New
Delhi at N=1, v= 1 m/s and β=0.89. 67
Fig. 4.1: Cross sectional view of building integrated semitransparent photovoltaic thermal
system with water tank. 72
Fig. 4.2: Hourly variation of solar intensity and ambient air temperature for a typical day for
different months, Srinagar, India for thermal heating. 78
Fig. 4.3(a): Hourly variation of different temperatures of BiSPVT system for the month of
January and Mw= 200 kg for thermal heating. 79
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Fig. 4.3(b): Effect of water mass (heat capacity) on hourly variation of room temperature for the
month of January for thermal heating. 79
Fig. 4.3(c): Effect of water mass (heat capacity) on hourly variation of floor temperature for the
month of January for thermal heating. 80
Fig. 4.3(d): Effect of water mass (heat capacity) on hourly variation of solar cell temperature and solar cell electrical efficiency for the month of January for thermal heating. 80 Fig. 4.3(e): Effect of water mass (heat capacity) on hourly variation of water temperature for
the month of January for thermal heating. 81
Fig. 4.4: Effect of heat capacity of water mass on TLL for a typical day of different months. 82 Fig. 4.5: Effect of water mass (heat capacity) on average monthly variation of (a) thermal energy (b) thermal exergy (c) thermal efficiency and (d) thermal exergy efficiency. 83 Fig. 4.6: (a) Effect of water mass (heat capacity) on average monthly variation of electrical energy and (b) Effect of transmissivity of glass on average variation of electrical and thermal
energy for the month of January and Mw= 200 kg. 84
Fig. 4.7: Average monthly variation of daylight savings. 85
Fig. 4.8: Effect of water mass (heat capacity) on average monthly variation of (a) overall exergy
and (b) overall exergy efficiency. 86
Fig. 5.1: BiSPVT with water mass and water flow (a) Cross sectional view and (b) Sectional
detail. 91
Fig. 5.2: Hourly variation of different temperature for BiSPVT system for Mw= 600 kg and
ṁw1= 0.01 kg/s. 97
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Fig. 5.3: Hourly variation of solar cell temperature and solar cell electrical efficiency for Mw= 600 kg and ṁw1= 0.01 kg/s. for BiSPVT system with (i) water mass and water flow and (ii) only
water mass. 98
Fig. 5.4: Effect of mass flow rate of water on hourly variation of different temperatures and solar cell electrical efficiency for BiSPVT system for Mw= 600 kg. 99 Fig. 5.5: Effect of mass of water on hourly variation of different temperatures and solar cell electrical efficiency for BiSPVT system for ṁw1= 0.01 kg/s. 100 Fig. 5.6: Hourly variation of (a) electrical energy and (b) daylight savings. 101
Fig. 6.1: View of Sodha Bers Complex. 105
Fig. 6.2(a): Basement floor plan. 106
Fig. 6.2(b): Ground floor plan. 107
Fig. 6.2(c): First floor plan. 107
Fig. 6.3: Zone 2: (a) exhaust gate from outside (b) exhaust gate from inside (c) inside view and
(d) outside view. 109
Fig. 6.4: Zone 3: (a) outside view and (b) solar roof dryer arrangement. 109
Fig. 6.5: Sectional view of Sodha Bers Complex. 110
Fig. 7.1(a): Case A (BiSPVT system only). 123
Fig. 7.1(b): Case B (BiSPVT system with water flow). 123
Fig. 7.1(c): Case C (BiSPVT system with heat capacity). 124
Fig. 7.1(d): Case D (BiSPVT system with water flow and heat capacity). 124 Fig. 7.1(e): Electrical energy produced by Cases A, B, C and D. 125
xvii
List of tables
Table 1.1: Studies on Direct gain. 4
Table 1.2: Brief summary of passive cooling concepts: evaporative cooling, natural ventilation
and daylight. 9
Table 1.3: Studies on building integrated photovoltaic systems. 20 Table 2.1: Daily thermal and exergy efficiency of BiSPVT system. 44 Table 2.2: Various design parameters taken for the calculations of room air temperature and solar
cell temperature for experimental validation. 45
Table 4.1: Effect of water mass (heat capacity) on yearly overall exergy for different weather
conditions prevalent in Srinagar, India. 87
Table 5.1: Temperature and electrical efficiency variation with and without the water flow at
13:00 hours for Mw= 600 kg and ṁw1= 0.01 kg/s. 98
Table 5.2: Effect of varying mass flow rate and mass of water on the proposed BiSPVT system at
peak hours. 100
Table 6.1: Design parameters and nomenclature for life cycle analysis of SBC. 111 Table 6.2: (i) Hourly, daily and annual heat gain, (ii) thermal energy efficiency of SBC for
average daily solar intensity= 450 W/m2. 113
Table 6.3: Annual heat gain of SBC for average daily solar intensity= 650 W/m2. 113 Table 6.4: Electrical energy produced by SPV system installed at SBC. 113 Table 6.5: Energy generated per year (total energy savings) for SBC. 115
Table 6.6: Energy Pay Back Time (EPBT). 117
xviii
Table 6.7: Energy Production Factor (EPF). 117
Table 6.8: Life Cycle Conversion Efficiency (LCCE). 118
Table 6.9: Energy Pay Back Time (EPBT), Energy Production Factor (EPF) and Life Cycle
Conversion Efficiency (LCCE). 120
Table 7.1: Cases used to analyze the performance of BiSPVT system. 122
Table 7.2: Comparative analysis of all the cases. 125
xix
Nomenclature
A Area ( m2)
b Breadth of the roof (m) C Specific heat ( J/kg K) dx Elemental length (m)
E Energy (Wh)
Ė Rate of energy (W) Ex Total thermal exergy (J) Ėx Rate of exergy (W)
F Fraction of solar radiation absorbed by water tank h Heat transfer coefficient (W/m2 K)
hc Convective heat transfer coefficient (W/m2 K) I(t) Solar intensity (W/m2)
K Thermal conductivity (W/m K) L Thickness of roof (m)
Lr Length of the roof (m)
M Mass (kg)
ṁew Rate of water consumption ( kg hr-1) ṁew1 Mass flow rate of water (kg/s) N Number of air changes per hour Ń Number of hours
P Partial pressure (N/m2) Q Heat transfer (W)
q̇ Rate of heat transfer (W/m2) Qu Thermal energy (J)
Qu̇ Rate of hourly energy (W) r correlation coefficient T Temperature (˚C)
U Overall heat transfer coefficient (W/m2 K) v Velocity of air (m/s)
V Volume of room (m3)
xx Greek symbols
α Absorptivity β Packing factor
β0 Temperature coefficient (˚C-1) γ Relative humidity (%)
ΔT Temperature difference (˚C) η Efficiency
η̅ Average efficiency
η0 Electrical efficiency at standard test condition λ Latent heat of water (J/kg)
ρ Density (kg/m3) τ Transmissivity ρ Density (kg/m3) Subscript
0 Outside
(i) Case (i) (ii) Case (ii)
a Ambient air
b from floor to the area below the room under study b' Blackened surface
c Solar cell
cr From solar cell to room through glass cover.
cw1 Evaporative
daylight Solar energy through non- packing area of PV module
e Electrical
eff Effective ew1 Evaporative
ex Exergy
Ex’ Experimental
f Floor of room under study
g Glass
h' From tank plate to water
i Inside
m PV module
max Maximum
min Minimum
o Area below the room under study (to be changed in the equations)
xxi o,d Overall daily
o,ex Overall exergy
r Room under study
R Roof
ra From room to ambient.
ref Reference
ro From room to bottom of roof.
rw1 Radiative
s Sun surface
sun Solar radiation of PV module
t Water tank
tca From solar cell to ambient through glass cover.
tcw From solar cell to water
th Thermal
Th’ Theoretical
thc From PV module to room air thf From floor to room air th,ex Thermal exergy
th,w Thermal exergy due to water w Water inside the tank
w' From tank plate to water
w1 Water flowing over the semitransparent photovoltaic thermal modules
xxii
Design parameters
Parameters Values
Af 8.86 m2
Am 9.18 m2
AR 9.18 m2
At 2.24 m2 (for Mw= 200 kg)
3.56 m2 (for Mw= 400 kg) 4.33 m2 (for Mw= 600 kg) 9.011 m2 (for Mw= 2000 kg) 15.028 m2 (for Mw= 4000 kg)
Ca 1005 J/kg/K
Cw 4190 J/kg/K
h0 5.7 + 3.8 v W/m2 K
hc 2.8 W/m2 K
hcr 5.7 W/m2 K
hi 2.8 + 3v W/m2 K
hw’ 100 W/m2 K
Kg 0.9 W/m K
KR 0.67 W/m K
Lr 3.67 m
Lc 0.003 m
LR 0.6 m
Lg 0.003 m
Ma 33.6 kg
To 20 ˚C
Tref 25 ˚C
Ts 6000 K
Utcw 50 W/m2 K
V 28 m3
αb’ 0.9
αc 0.9
αR 0.4
β 0.89
β0 0.0045 /˚C
γ 50 %
η0 0.15
λ 2.25 X 106 J/kg
ρa 1.2 kg/m3
xxiii
ρw 1000 kg/m3
𝜏𝑔 0.9
Clear height of the room 3 m
xxiv
List of abbreviations
BF Basement Floor
BiPV Building integrated Photovoltaic
BiPVT Building integrated Photovoltaic Thermal BiOPV Building integrated Opaque Photovoltaic
BiOPVT Building integrated Opaque Photovoltaic Thermal BiSPV Building integrated Semitransparent Photovoltaic
BiSPVT Building integrated Semitransparent Photovoltaic Thermal c-Si crystalline Silicon
DL Daylight
EC Evaporative Cooling
EE Embodied Energy
EPBT Energy Pay Back Time EPF Energy Production Factor ETC Evacuated Tubular Collector
FF First Floor
GF Ground Floor
HVAC Heating, Ventilation and Air Conditioning LCCE Life Cycle Conversion Efficiency
NV Natural Ventilation
OPV Opaque Photovoltaic
OPVT Opaque Photovoltaic Thermal
PC Passive Cooling
PV Photovoltaic
PVT Photovoltaic Thermal
SBC Sodha Bers Complex
SF Second Floor
SPV Semitransparent Photovoltaic
SPVT Semitransparent Photovoltaic Thermal
TF Third Floor
xxv TLL Thermal Load Levelling
WT Wind Tower