# Performance of Photovoltaic Modules of Different Solar Cells

Authors: Ankita Gaur; G. N. Tiwari
Journal: Journal of Solar Energy
 (2013)

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## Abstract

In this paper, an attempt of performance evaluation of semitransparent and opaque photovoltaic (PV) modules of different generation solar cells, having the maximum efficiencies reported in the literature at standard test conditions (STC), has been carried out particularly for the months of January and June. The outdoor performance is also evaluated for the commercially available semitransparent and opaque PV modules. Annual electrical energy, capitalized cost, annualized uniform cost (unacost), and cost per unit electrical energy for both types of solar modules, namely, semitransparent and opaque have also been computed along with their characteristics curves. Semitransparent PV modules have shown higher efficiencies compared to the opaque ones. Calculations show that for the PV modules made in laboratory, CdTe exhibits the maximum annual electrical energy generation resulting into minimum cost per unit electrical energy, whereas a-Si/nc-Si possesses the maximum annual electrical energy generation giving minimum cost per unit electrical energy when commercially available solar modules are concerned. CIGS has shown the lowest capitalized cost over all other PV technologies.


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## Body

## 1. Introduction

According to the Annual Energy Review  of US Energy Information Administration (EIA) in 2011, industrial, residential and commercial, transportation, and electric power generation are the primary sectors of energy consumption that account for, respectively, ~21%, 11%, 28%, and 40% of the total consumption. Petroleum (37%), natural gas (26%), coal (20%), renewable energy (9%), and nuclear electric power (8%) are the main sources being utilized to run the energy consumption sectors. The large percentage of energy is driven from the fossil fuels. In 2011, the US energy consumption accounted for ~2.84 × 1013 kWh, whereas the production was just only ~2.28 × 1013 kWh. And as per the Annual report of European Commission on Energy 2011, transport, industry, household, services, and agriculture account for, respectively, 32%, 25%, 27%, 14%, and 2% of total energy consumption. Petroleum accounts 35.1%, solid fuels account for, and 15.9%, renewable account for, 9.8%, nuclear power and natural gases account for,  respectively, the 13.5% and 25.1% for fulfillment of the total energy requirement. Compared to 2009, the gross consumption increased by 3.3% in 2010. In the context of present energy crisis in terms of demand and supply and the bad consequences of fossil fuels on our delicate environment, the development and use of renewable sources of energy has become very important.Solar photovoltaic (PV) technology is one of the most important renewable sources of energy generation. Since the early realization of PV effect in 1839, there have been steady improvements in the performance of solar cells and the application of advanced materials has given birth to new generations of solar cells. Crystalline silicon (c-Si) was the first material giving practical solar cell [1]; therefore, the solar cells, based on c-Si are known as first generation solar cells. From the cost, performance, and processibility points of view, the application of new advanced materials gave birth to new generations of solar cells. The second and third generation PV cells were based on the thin film materials such as amorphous silicon (a-Si), cadmium telluride (CdTe), copper indium gallium diselenide (CIGS), organic semiconductors and organic dyes. Thin film materials are deposited either in single-junction or multijunction configurations referred to as stacked junction or tandem cells. A brief overview of different solar cells with their latest laboratory efficiencies is given in Table 1. The values have been taken from the website of National Renewable Energy Laboratory (NREL), USA [2].Table 1
Latest efficiencies of different solar cells [2, 3].
Solar cell materials
Efficiencyη0 (%) (Source: NREL, USA)
Mono c-Si
25.0
Poly c-Si
20.4
a-Si
10.1
a-Si/nc-Si
12.3
CdTe
18.3
CIGS
20.3
Organic semiconductors
10.7
Organic dyes
11.0PV modules have got various applications for electricity generation in remote, rural, and even in urban areas. They have got applications in different sectors ranging from agriculture, household to industry. PV modules can be used in most of the sectors where energy is required. The PV modules can be integrated in buildings to fulfill dual purposes, namely, generation of electricity and harvesting of thermal energy too. Such systems are known as building-integrated photovoltaic thermal (BIPVT) systems. BIPVT systems have got tremendous household and industry applications [4, 5]. The demand of solar PV devices is increasing very fast, and as per the US-EIA report, the US photovoltaic industry hit a record in 2009 by shipping ~1.3 GWp solar cells and solar modules, that is, ~30% more than that in 2008. Out of that ~0.58 GWp was accounted by mono c-Si, ~0.4 GWp by poly c-Si, and ~0.27 was accounted by thin films (a-Si, nc-Si, CdTe, and CIGS) solar cells. From the beginning, the PV modules based on c-Si have continued to dominate the PV market. Application of PV modules can fulfill our long-term energy demand, but they have got some implications too. High cost, cumbersome processing and difficulty in handling are some of the main implications in the present commercial PV technologies. Research is being done to make them more viable and more cost effective. In view of the increasing demand, the understanding of their performance in different environmental conditions becomes of high importance. An analysis of the outdoor performance of PV modules made of different generation solar cells is presented. The PV modules have been considered in the two well-known configurations, for example, semitransparent and opaque as shown in Figure 1, where the PV modules are prepared, respectively, on the glass and tedlar plates. For the PV modules made of c-Si and poly c-Si solar cells, the top encapsulating covered plate is considered to be made of highly transparent glass, whereas the thin films PV modules are considered to be encapsulated by an EVA encapsulant only.Figure 1
Schematic representation of (a) semitransparent c-Si, poly c-Si, (b) semitransparent thin films, (c) opaque c-Si, poly-Si, and (d) opaque thin films PV modules, inclined at an angle of 30° from horizontal.For incidence of the maximum solar radiation, the PV modules in northern hemisphere are placed south oriented, having inclination for horizontal surface equal to the latitude of the system’s station [6–8]. The performance analysis of PV modules for the cold (January) and hot (June) climatic conditions of 2012 of New Delhi has been presented. New Delhi is located at 28.38N, 77.12E in India; therefore, all the modules are considered to be south oriented and inclined at an angle of 30° to the horizontal (see Figure 1). The analytical expressions for the electrical efficiency and temperatures of thin film PV modules have been derived. The performance of PV modules made of the solar cells with maximum laboratory efficiency is compared with that of those available in the market. The annual electrical energy and unit electrical generation of different PV modules have been computed by considering the following weather conditions for New Delhi [9].(a)
Clear days (blue sky),(b)
Hazy days (fully),(c)
Hazy and cloudy days (partially),(d)
Cloudy Days (fully).


## 2. Modeling

The efficiencies and temperature of PV module are calculated using energy balance equations. To write the energy balance equations for PV modules, the following assumptions have been considered:(i)
One-dimensional heat conduction,(ii)
the encapsulant ethylene vinyl acetate (EVA) is purely transparent,(iii)
the ohmic losses in solar cells and PV modules are negligible.


### 2.1.  Energy Balance Equations

#### 2.1.1. For Semitransparent Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the semitransparent mono c-Si or poly c-Si PV modules can be written as [10, 11]
(1)αcτgβcI(t)=UT(Tc-Ta)+Ub(Tc-Ta)+ηcτgβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellsto=ambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromsolarcellsofPVmodule].HereUT and Ub can be defined as
(2)UT=[LgKg+1h0]-1,Ub=[LgKg+1hi]-1.From (1), the cell temperature can be expressed as
(3)Tc=TaUL+(αcτgβc-ηcβcτg)I(t)UL,
or
(4)Tc-T0=Ta-T0+(αcτgβc-ηcβcτg)I(t)UL,
where UL=UT+Ub. According to Evan [12, 13], the temperature dependence of the cell efficiency can be written as
(5)ηc=η0[1-β0(Tc-T0)].With the help of (4) and (5), one can get the electrical efficiency of the cell as
(6)ηc=η0[1-β0{(Ta-T0)+(τgαcβc/UL)I(t)}][1-(η0β0τgβc/UL)I(t)],
and the module efficiency as
(7)ηm=PoPin=ηcβcτgI(t)I(t)
or
(8)ηm=ηcβcτg.


#### 2.1.2. For Opaque Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the opaque mono c-Si or poly c-Si PV modules can be written as [10, 11]
(9)τg[αcβcI(t)+(1-βc)αTI(t)]=UT(Tc-Ta)+Ub(Tc-Ta)+τgηcβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromthesolarcellsofPVmodule].From (9), the cell temperature can be written as
(10)Tc=[τg{αcβc+(1-βc)αT-ηcβc}]I(t)+ULTaUL,
or
(11)Tc-T0=Ta-T0+[τg{αcβc+(1-βc)αT-ηcβc}]I(t)UL,
where UL=UT+Ub. Therefore, now from (5) and (11) one gets
(12)ηc=η0[1-β0{(Ta-T0)+({τgαcβc+(1-βc)αT}/UL)I(t)}][1-(η0β0τgβc/UL)I(t)]
and the module efficiency
(13)ηm=ηcβcτg.


#### 2.1.3. For Thin Film PV Modules

For a thin film PV module, the energy balance equation can be written as(14)αc(1-RE)I(t)=h0(Tc-Ta)+Ub(Tc-Ta)+ηc(1-RE)I(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopsurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbacksurfaceofglass/tedlar]+[RateofelectricalenergygeneratedbythesolarcellsofPVmodule].For semitransparent PV module,Ub is written as  Ub=[Lg/Kg+1/hi]-1 (effective τ>0)  whereas for the opaque PV modules, Ub is given by Ub=[LT/KT+1/hi]-1 (effective τ=0). Now from (14),  Tc can be written as
(15)Tc=Ta+αc(1-RE)I(t)-ηc(1-RE)I(t)UL
or
(16)Tc-T0=(Ta-T0)+αc(1-RE)I(t)-ηc(1-RE)I(t)UL,
where UL=h0+Ub. Now from (5) and (16) the cell efficiency can be given by
(17)ηc=η0[1-β0{(Ta-T0)+(αc(1-RE)/UL)I(t)}][1-(η0β0(1-RE)/UL)I(t)],
and the module efficiency will now be given by
(18)ηm=ηc(1-RE).


### 2.2. Annual Electrical Energy

The hourly electrical energy of a PV module can be given byEel,hourly=ηm×Am×I(t) [12]. And the daily electrical energy in KWh is obtained by Eel,daily=∑i=1N1(Eel,hourly,i/1000), where N1 is the number of sun shine hours per day. The monthly electrical energy for the clear days (condition (a)) in KWh is calculated by the following expression:
(19)Eel,monthly=Eel,daily×n1,
where n1 is the number of clear days in a month. Now the annual electrical energy is calculated by
(20)Eel,annual=∑i=112Eel,monthly,k.


### 2.3. Cost Analysis

The capitalized cost(K) is defined on the equivalent present value (Pn) of the system lasting for n years. The present value of the system based on an infinite time period can be represented as shown in Figure 12.For a system costingPn and having service lifetime of n years, the present value replacing out to infinity is given by [7, 10]
(21)K=PnFPK,i,n,
where K is the capitalized cost and FPK,i,n=(1+i)n/(1+i)n-1 is the capitalized cost factor. Pn can be calculated from
(22)Pn=TotalInitialCostofmodule(P)+Operationalandmaintenancecost(OM)×Unacostpresentvaluefactor(Frp,i,n)-Salvagevalue×Presentvaluefactor(Fsp,I,n),
where,
(23)FRP,i,n=[(1+i)n-1i(1+i)n],FSP,i,n=(1+i)-n.The annualized uniform cost (Unacost,R) and capitalized cost (K) are related as [7, 10];
(24)R=i·K,Annualizeduniformcost=Worthofmoney×Capitalisedcost.The cost for per unit electric energy production by a PV module is evaluated by(25)Unitelectricalenergygenerationcost=UnacostAnnualElectricalEnergy.


## 2.1.  Energy Balance Equations

### 2.1.1. For Semitransparent Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the semitransparent mono c-Si or poly c-Si PV modules can be written as [10, 11]
(1)αcτgβcI(t)=UT(Tc-Ta)+Ub(Tc-Ta)+ηcτgβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellsto=ambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromsolarcellsofPVmodule].HereUT and Ub can be defined as
(2)UT=[LgKg+1h0]-1,Ub=[LgKg+1hi]-1.From (1), the cell temperature can be expressed as
(3)Tc=TaUL+(αcτgβc-ηcβcτg)I(t)UL,
or
(4)Tc-T0=Ta-T0+(αcτgβc-ηcβcτg)I(t)UL,
where UL=UT+Ub. According to Evan [12, 13], the temperature dependence of the cell efficiency can be written as
(5)ηc=η0[1-β0(Tc-T0)].With the help of (4) and (5), one can get the electrical efficiency of the cell as
(6)ηc=η0[1-β0{(Ta-T0)+(τgαcβc/UL)I(t)}][1-(η0β0τgβc/UL)I(t)],
and the module efficiency as
(7)ηm=PoPin=ηcβcτgI(t)I(t)
or
(8)ηm=ηcβcτg.


### 2.1.2. For Opaque Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the opaque mono c-Si or poly c-Si PV modules can be written as [10, 11]
(9)τg[αcβcI(t)+(1-βc)αTI(t)]=UT(Tc-Ta)+Ub(Tc-Ta)+τgηcβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromthesolarcellsofPVmodule].From (9), the cell temperature can be written as
(10)Tc=[τg{αcβc+(1-βc)αT-ηcβc}]I(t)+ULTaUL,
or
(11)Tc-T0=Ta-T0+[τg{αcβc+(1-βc)αT-ηcβc}]I(t)UL,
where UL=UT+Ub. Therefore, now from (5) and (11) one gets
(12)ηc=η0[1-β0{(Ta-T0)+({τgαcβc+(1-βc)αT}/UL)I(t)}][1-(η0β0τgβc/UL)I(t)]
and the module efficiency
(13)ηm=ηcβcτg.


### 2.1.3. For Thin Film PV Modules

For a thin film PV module, the energy balance equation can be written as(14)αc(1-RE)I(t)=h0(Tc-Ta)+Ub(Tc-Ta)+ηc(1-RE)I(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopsurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbacksurfaceofglass/tedlar]+[RateofelectricalenergygeneratedbythesolarcellsofPVmodule].For semitransparent PV module,Ub is written as  Ub=[Lg/Kg+1/hi]-1 (effective τ>0)  whereas for the opaque PV modules, Ub is given by Ub=[LT/KT+1/hi]-1 (effective τ=0). Now from (14),  Tc can be written as
(15)Tc=Ta+αc(1-RE)I(t)-ηc(1-RE)I(t)UL
or
(16)Tc-T0=(Ta-T0)+αc(1-RE)I(t)-ηc(1-RE)I(t)UL,
where UL=h0+Ub. Now from (5) and (16) the cell efficiency can be given by
(17)ηc=η0[1-β0{(Ta-T0)+(αc(1-RE)/UL)I(t)}][1-(η0β0(1-RE)/UL)I(t)],
and the module efficiency will now be given by
(18)ηm=ηc(1-RE).


## 2.1.1. For Semitransparent Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the semitransparent mono c-Si or poly c-Si PV modules can be written as [10, 11]
(1)αcτgβcI(t)=UT(Tc-Ta)+Ub(Tc-Ta)+ηcτgβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellsto=ambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromsolarcellsofPVmodule].HereUT and Ub can be defined as
(2)UT=[LgKg+1h0]-1,Ub=[LgKg+1hi]-1.From (1), the cell temperature can be expressed as
(3)Tc=TaUL+(αcτgβc-ηcβcτg)I(t)UL,
or
(4)Tc-T0=Ta-T0+(αcτgβc-ηcβcτg)I(t)UL,
where UL=UT+Ub. According to Evan [12, 13], the temperature dependence of the cell efficiency can be written as
(5)ηc=η0[1-β0(Tc-T0)].With the help of (4) and (5), one can get the electrical efficiency of the cell as
(6)ηc=η0[1-β0{(Ta-T0)+(τgαcβc/UL)I(t)}][1-(η0β0τgβc/UL)I(t)],
and the module efficiency as
(7)ηm=PoPin=ηcβcτgI(t)I(t)
or
(8)ηm=ηcβcτg.


## 2.1.2. For Opaque Mono c-Si and Poly c-Si PV Modules

The energy balance equation for the opaque mono c-Si or poly c-Si PV modules can be written as [10, 11]
(9)τg[αcβcI(t)+(1-βc)αTI(t)]=UT(Tc-Ta)+Ub(Tc-Ta)+τgηcβcI(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopglasssurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbackglasssurface]+[RateofelectricalenergygeneratedfromthesolarcellsofPVmodule].From (9), the cell temperature can be written as
(10)Tc=[τg{αcβc+(1-βc)αT-ηcβc}]I(t)+ULTaUL,
or
(11)Tc-T0=Ta-T0+[τg{αcβc+(1-βc)αT-ηcβc}]I(t)UL,
where UL=UT+Ub. Therefore, now from (5) and (11) one gets
(12)ηc=η0[1-β0{(Ta-T0)+({τgαcβc+(1-βc)αT}/UL)I(t)}][1-(η0β0τgβc/UL)I(t)]
and the module efficiency
(13)ηm=ηcβcτg.


## 2.1.3. For Thin Film PV Modules

For a thin film PV module, the energy balance equation can be written as(14)αc(1-RE)I(t)=h0(Tc-Ta)+Ub(Tc-Ta)+ηc(1-RE)I(t)[Rateofabsorbedsolarradiationreceivedbysolarcells]=[Rateofthermalenergylossfromsolarcellstoambientthroughtopsurface]+[Rateofthermalenergylossfromsolarcellstoambientthroughbacksurfaceofglass/tedlar]+[RateofelectricalenergygeneratedbythesolarcellsofPVmodule].For semitransparent PV module,Ub is written as  Ub=[Lg/Kg+1/hi]-1 (effective τ>0)  whereas for the opaque PV modules, Ub is given by Ub=[LT/KT+1/hi]-1 (effective τ=0). Now from (14),  Tc can be written as
(15)Tc=Ta+αc(1-RE)I(t)-ηc(1-RE)I(t)UL
or
(16)Tc-T0=(Ta-T0)+αc(1-RE)I(t)-ηc(1-RE)I(t)UL,
where UL=h0+Ub. Now from (5) and (16) the cell efficiency can be given by
(17)ηc=η0[1-β0{(Ta-T0)+(αc(1-RE)/UL)I(t)}][1-(η0β0(1-RE)/UL)I(t)],
and the module efficiency will now be given by
(18)ηm=ηc(1-RE).


## 2.2. Annual Electrical Energy

The hourly electrical energy of a PV module can be given byEel,hourly=ηm×Am×I(t) [12]. And the daily electrical energy in KWh is obtained by Eel,daily=∑i=1N1(Eel,hourly,i/1000), where N1 is the number of sun shine hours per day. The monthly electrical energy for the clear days (condition (a)) in KWh is calculated by the following expression:
(19)Eel,monthly=Eel,daily×n1,
where n1 is the number of clear days in a month. Now the annual electrical energy is calculated by
(20)Eel,annual=∑i=112Eel,monthly,k.


## 2.3. Cost Analysis

The capitalized cost(K) is defined on the equivalent present value (Pn) of the system lasting for n years. The present value of the system based on an infinite time period can be represented as shown in Figure 12.For a system costingPn and having service lifetime of n years, the present value replacing out to infinity is given by [7, 10]
(21)K=PnFPK,i,n,
where K is the capitalized cost and FPK,i,n=(1+i)n/(1+i)n-1 is the capitalized cost factor. Pn can be calculated from
(22)Pn=TotalInitialCostofmodule(P)+Operationalandmaintenancecost(OM)×Unacostpresentvaluefactor(Frp,i,n)-Salvagevalue×Presentvaluefactor(Fsp,I,n),
where,
(23)FRP,i,n=[(1+i)n-1i(1+i)n],FSP,i,n=(1+i)-n.The annualized uniform cost (Unacost,R) and capitalized cost (K) are related as [7, 10];
(24)R=i·K,Annualizeduniformcost=Worthofmoney×Capitalisedcost.The cost for per unit electric energy production by a PV module is evaluated by(25)Unitelectricalenergygenerationcost=UnacostAnnualElectricalEnergy.


## 3. Methodology

The climatic data for the solar radiationI(t) on horizontal surface, ambient temperature (Ta), and the number of days for the weather conditions (a), (b), (c), and (d) for Delhi was obtained from the Indian Metrological Department (IMD), Delhi. The following methodology has been used to evaluate the electrical efficiencies, annual electrical energy, and cost per unit electrical energy for the PV modules.Step 1.
The hourly solar radiation on the PV modules, at the 30° inclination from the horizontal, was calculated using the Liu and Jordan method [14].Step 2.
The designed parameters, for both laboratory made and commercially available PV modules, used for calculations have been tabulated in Table2. The corresponding references for the values of different parameters have been given in the table, and the values of rest of the parameters have been taken from [11].Table 2
Design parameters of opaque and semitransparent PV modules.
Parameters
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
OPV
A
m (m2)
Com.
0.646
0.598
1.17
0.72
0.72
1.054
—
Lab.
0.25
0.3006
0.29
0.325
0.507
0.401
0.487
α
c
0.9
0.9
0.85
0.8
0.8
0.8
0.6
β
c
0.89
0.89
1
1
1
1
1
β
0
0.0062[15]
0.0049[16]
0.001[15]
0.002[16]
0.0031[15]
0.0023[17]
0.002[calculated]
η
m
0 (%) Com.
14.2[18]
12.53[18]
6.4[19]
10.4[20]
10.42[21]
8.5[22]
—
α
T
0.5
τ
g
0.95
h
0  (W/m2 K)
5.7
+
3.8
v;v=0.5 m/s
h
i (W/m2 K)
2.8
+
3.0
v;v=0.2 m/s
L
g (m)
0.003
K
g (W/m K)
1.1
L
T (m)
0.0005
K
T (W/m K)
0.033Step 3.
For the known climatic conditions and designed parameters, the cell temperatures and electrical efficiencies of the PV modules have been evaluated using the modeling given above.Note. The expressions of cell and module efficiencies are valid only for the condition Tc-T0>298 K.Step 4.
The temperature of PV modules has been considered to be equal to that of the solar cells and calculated by the modeling above.Step 5.
The monthly electrical energy for clear days (condition (a)) has been evaluated using (19), and the same process was adopted to calculate the monthly electrical energy for other climatic conditions (b), (c), and (d). The total electrical energy for each month was obtained by adding the energy generations in the climatic conditions (a), (b), (c), and (d) in that month.Step 6.
The Annual electrical energy was calculated using (20).Step 7.
P
n has been calculated by (22). Operational and maintenance costs have been considered to be 10% whereas salvage value has been taken 5% of the initial cost (P) of the modules.Step 8.
While calculating the electrical energy, the degradation rates per year of individual systems (Table4) were also taken into account [23].Step 9.
The annualized capitalized cost(K) has been calculated using (21).Step 10.
The unacost(R) has been calculated using (24).Step 11.
Finally, the cost per unit electrical energy was calculated using (25). For the calculations of K and R, interest rate has been considered to be 8%.Note. The values of different parameters given in Table 2 have been taken from the websites of different world known institutions/companies. First Solar is the world leading company of USA. in thin film PV module manufacturing. It is world’s leading provider of solar energy solutions. First Solar holds the world record in CdTe module and cell efficiencies and owns mega solar projects in the world. Global Solar, USA, is a leading manufacturer of flexible solar technologies and produces CIGS solar cells at record efficiency. Global Solar is the only manufacturer for full-scale production of flexible CIGS solar cells. Sharp Solar is a world leading solar company of Japan and aims to provide reliable solar power from lighthouses to space satellites to mega solar power plants. Sharp Solar has developed world’s highest power conversion efficiency of 44.4% using a concentrator triple junction solar cell. Sharp has also established its own standards for accelerated tests and endurance tests, which are more demanding than the standards set by IEC and JIS international industrial standards.


## 4. Results and Discussion

To solve the mathematical equations, a computer program Mathcad 8 has been used. The calculated hourly variations ofI(t) at 30° inclination and Ta for typical clear days of January and June are shown in Figure 2. As expected, the solar intensity is maximum at ~13:00 hrs where the intensity in January is greater than that in June. It is important to note that the solar intensity at any surface depends on its declination angle and the solar altitude. The smaller the angle of inclination of the radiation with horizontal surface, the greater will be the path to travel and the lower radiation reaching the surface. The altitude is more in summer compared to that in winter. The altitude is more in summer compared to that in winter for a given inclination of PV module (β=30°). It is also observed that the angle of incidence in January is less than that is June, leading to higher intensity in January. The higher intensity in January due to small angle of incidence (θi) compared to that in June due to large value of angle of incidence (θi) can be understood from the fact that a south facing surface receives higher amount of radiation during winter than during the summer (~1.5 times) for a given inclination β. As expected, the ambient temperature in January is smaller than that in the June. Figure 3 shows the variation in module efficiency of commercially available different PV modules with time. The calculations have also been done for PV modules which have been considered to be prepared in the laboratory, with STC cell efficiencies (figure not shown). Among the different PV technologies, c-Si PV technology has shown the maximum efficiency for both the modules, commercially available and prepared in laboratory. However, a-Si PV modules have shown the minimum efficiency in both cases. For all the PV technologies, the module efficiencies first decrease and then increase with time. The minimum efficiency for all the PV modules is observed at ~13:00 hrs. The variation in module efficiencies can be correlated with the module temperatures shown in Figure 4. Because of different temperature coefficients of different materials, the module temperatures are different. The temperature coefficient of OPV modules has been calculated using (5), where the desired parameters were obtained from [24]. a-Si has shown the maximum module temperature whereas c-Si exhibited the minimum module temperature. The module temperatures first increase and then decrease with time and are maximum at ~13:00 hrs which correspond to maximum solar intensity (see Figure 2). Therefore, it can be inferenced that the module efficiencies are minimum for maximum module temperatures, and it is because of the maximum electrical losses due to enhanced collisions of electrons at high temperatures. It is worth mentioning that the electrical resistance in a system is controlled by the electron collisions. For high temperatures the collision will be more that it would result into high resistance, and high resistance would lead to more recombination losses.Figure 2
Hourly variations of solar intensityI(t) and ambient temperature (Ta) for the months of January and June.Figure 3
Hourly variations of electrical efficiencies for different commercially available PV modules in the month of January.Figure 4
Hourly variations of module temperatures for different commercially available PV modules in the month of January.Performance evaluation has been carried out for the semitransparent and opaque PV modules, which are commercially available and those prepared in laboratory for the months of January and June. Though all the performance evaluations have been carried out on different PV module technologies, further the results of those prepared with c-Si only are presented, as it is most studied and efficient material. Figure5 compares the performance of commercially available c-Si semitransparent and opaque PV modules in the months of January and June. In all the cases, the module efficiencies first decrease and then increase with time and are minimum at ~13:00 hrs. The reason behind minimum module efficiencies at ~13:00 hrs has already been discussed above. It is observed that in both months and semitransparent PV modules have shown the higher efficiencies compared to the opaque ones. The same effect has been observed for all the PV module technologies. Dubey et al. studied the module efficiencies of only c-Si-based semitransparent and opaque modules [11] and observed the similar results. It is important to note that in the case of c-Si and poly c-Si PV modules, the packing factor is considered to be 0.89. In that case, the solar radiation falling on the nonpacking area is transmitted through the semitransparent module whereas in case of opaque modules it is absorbed by the tedlar sheet. The absorption of solar radiation by tedlar sheet results into the increment in cell temperature, due to which the module efficiency decreases. But in case of thin film PV modules, the packing factor is considered to be 1 and there will be no nonpacking area. However, the higher efficiencies in semitransparent thin film PV modules compared to the opaque ones can be understood from their thin film property. Due to very low thicknesses, some of the heat of the incident radiation is transmitted through the back glass sheet, but in case of opaque modules, it, absorbed by the tedlar sheet. The absorption of solar heat by the tedlar sheet results into increment in the module temperature, due to which the module efficiency decreases. The average module efficiency is observed higher in the month of January than in the month of June. It is because of the reason that in January the ambient temperature is lower compared to that in June. The performance of semitransparent and opaque c-Si PV modules, those are commercially available, is compared in Figure 6 with those considered prepared in the laboratory for the month of January. In both cases, the modules prepared in the laboratory have shown higher efficiencies compared to those available in the market. Similar studies have been carried out for different PV module technologies, which have shown the similar behavior. The reason behind this fact is that the cell efficiencies of the modules prepared in the laboratory are higher compared to those prepared on the commercial scale. It is the well-known fact that the efficiencies of the solar cells prepared on the commercial level are always lower than those prepared in the laboratory.Figure 5
Hourly variations of electrical efficiencies of commercially available c-Si semitransparent and opaque PV modules in the months of January and June.Figure 6
Hourly variation of electrical efficiencies of commercially available and laboratory prepared c-Si semitransparent and opaque PV modules in the month of January.Figure7 shows the variation of module efficiency as a function of Tm-Ta/I(t) for commercially available c-Si semitransparent and opaque PV modules in the months of January and June. These characteristics curves are similar to the Hottel-Whiller-Bliss equations of a flat plat collector [25]. Both semitransparent and opaque PV modules have shown similar variation in efficiency in the months of January and June; however, their gain factor (c) and loss coefficient (m) are different. All other PV module technologies have also shown the similar behavior but with different loss coefficients and gain factors. The semitransparent PV modules have shown lower modules temperatures compared to the opaque ones irrespective of the testing months of January and June. Similarly, the variation in module efficiencies for opaque and semitransparent c-Si PV modules, those are commercially available and prepared in the laboratory, is shown in Figure 8 as a function of Tm-Ta/I(t) for the month of January. Though the variation is similar in all cases, their gain factors and loss coefficients are different. The laboratory-prepared PV modules have shown lower module temperatures compared to those available commercially, irrespective of their transparency. A similar behavior has been observed for other PV module technologies. The gain factors and loss coefficients for electrical efficiencies of different commercial and laboratory prepared semitransparent and opaque PV modules for the months of January and June have been summarized in Table 3.Table 3
Loss coefficients(m) and gain factors (c) for different PV modules.
PV Technology
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
OPV
January
Lab.
Semitransparent
m
1082.8
1072.3
1084.6
1084.9
1079.3
1081
1075
c
76.248
75.653
85.827
76.272
75.964
85.611
56.782
Opaque
m
1067.2
1079
1057.6
1070.9
1069.5
1070.5
1064.4
c
81.333
81.258
84.827
76.22
76.139
85.74
56.886
Com.
Semi-transparent
m
1079.1
1079.2
1092.7
1083.3
1072.9
1076.6
—
c
76.041
76.044
86.431
76.201
75.562
85.257
—
Opaque
m
1067.7
1078.5
1063.4
1064
1065.6
1064.5
—
c
81.64
81.494
84.282
75.813
75.913
85.316
—
June
Lab.
Semi-transparent
m
1080.4
1080.2
1086.7
1084
1080.8
1079.8
1084.7
c
76.117
76.107
85.975
76.223
76.041
85.486
57.207
Opaque
m
1067.9
1065.3
1089.3
1068
1065.3
1073.8
1062.6
c
81.373
81.212
86.157
76.056
75.91
85.968
56.807
Com.
Semi-transparent
m
1081.6
1079
1089.4
1079.5
1079.6
1077.4
—
c
76.192
76.036
86.187
75.971
75.974
85.314
—
Opaque
m
1065.9
1066.3
1073.2
1073.6
1065.5
1065.7
—
c
81.524
81.549
85.962
76.413
75.905
85.407
—Table 4
Equivalent present value (Pn), capitalized cost (K), and unacost (R) for different PV modules (75Wp).
PV Technology
Module cost (P1) ($)
Lifetime (n)  (years)
Degradation rate (%/year)
Equivalent present value Pn ($)
Capitalized cost (K) ($)
Annualized uniform cost (unacost) (R) ($)
Panel cost* (a)
Stand cost (b)
Total (P1)(a+b)
c-Si
105
2.96
107.96
30
0.36
241.30
21.43
1.714
Poly-Si
90
2.78
92.78
30
0.64
207.37
18.42
1.473
a-Si
60
3.70
63.70
20
0.87
141.27
14.39
1.151
CdTe
67.5
3.24
70.74
25
0.40
157.61
14.77
1.181
CIGS
60
3.24
63.24
20
0.96
140.25
14.29
1.142
a-Si/nc-Si
60
3.70
63.70
20
0.87
141.27
14.39
1.151
*The panel cost has been calculated from the $/Wp values of different modules [26].Figure 7
Variations of electrical efficiencies of commercially available c-Si semitransparent and opaque PV modules withTm-Ta/I(t) in the months of January and June.Figure 8
Variations of electrical efficiencies of commercially available and laboratory prepared c-Si semitransparent and opaque PV modules withTm-Ta/I(t) in the month of January.Now the cost analysis of different PV modules is presented. Though the different PV modules have different lifetime, the annual electrical energy and cost per unit electrical energy have been calculated for 30 years. The calculations were done for all the materials even considering their degradation. The degradation rates for different PV modules are given in Table4. The obtained annual electrical energy and cost per unit electrical energy for different commercial semitransparent and opaque PVs are given in Tables 5 and 6, respectively. Similarly, the annual electrical energy and cost per unit electrical energy for different laboratory prepared PV modules are given in Tables 7 and 8, respectively. The calculations show that for all the PV modules irrespective of their transparency, the annual electrical energy would decrease with time which will result into increment in their corresponding cost per unit electrical energy. Figure 9 shows the variation in annual electrical energy and cost per unit electrical energy of commercial and laboratory prepared c-Si PV modules with time for both semitransparent and opaque structures. Figure 10 compares the initial (maximum) annual electrical energy for different commercial semitransparent and opaque PV modules. For all the PV technologies, semitransparent PV modules have shown higher annual electrical energy compared to the opaque ones. a-Si/nc-Si PV modules have shown the maximum annual electrical energy, whereas poly c-Si PV modules have shown the minimum annual electrical energy. It is found that in case of the PV modules prepared in the laboratory, the maximum annual electrical energy is observed for CdTe, whereas minimum annual electrical energy is observed for a-Si/nc-Si PV modules. After calculation of annual electrical energy, the unit electrical energy was calculated for different PV module technologies. For calculation of unit electrical energy, the annualized uniform cost was calculated using the financial parameters given in Table 4 for interest rate of 8%. The capitalized cost (K) and unacost (R) have also been calculated, and the values are given in Table 4. The minimum capitalized cost is found for the CdTe PV modules which means that these are the most economical ones. The initial (maximum) cost per unit electrical energy for different commercial semitransparent and opaque PV module technologies is shown in Figure 11. For all the PV module technologies, the semitransparent PV modules have shown lower unit electrical energy compared to the opaque ones; however, c-Si has shown the maximum cost per unit electrical energy whereas minimum cost per unit electrical energy is observed for a-Si/nc-Si PV modules. It is observed that in case of the PV modules prepared in the laboratory, the maximum cost per unit electrical energy is observed for c-Si PV modules whereas the minimum cost per unit electrical energy is observed for CdTe PV modules.Table 5
Yearly annual electrical energy (kWh) of different commercial PV modules.
Year
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
1
132.29
126.51
114.64
105.56
136.79
132.59
130.73
124.56
124.7
118.89
153.89
149
2
131.82
126.06
113.91
104.88
135.6
131.43
130.2
124.06
123.5
117.75
152.55
147.71
3
131.34
125.6
113.18
104.21
134.42
130.29
129.68
123.57
122.32
116.62
151.22
146.42
4
130.87
125.15
112.46
103.55
133.25
129.16
129.16
123.07
121.14
115.5
149.91
145.15
5
130.4
124.7
111.74
102.88
132.09
128.03
128.65
122.58
119.98
114.39
148.6
143.88
6
129.93
124.25
111.02
102.23
130.94
126.92
128.13
122.09
118.83
113.29
147.31
142.63
7
129.46
123.81
110.31
101.57
129.8
125.81
127.62
121.6
117.69
112.2
146.03
141.39
8
128.99
123.36
109.6
100.92
128.67
124.72
127.11
121.11
116.56
111.13
144.76
140.16
9
128.53
122.92
108.9
100.28
127.55
123.64
126.6
120.63
115.44
110.06
143.5
138.94
10
128.07
122.47
108.21
99.633
126.44
122.56
126.09
120.15
114.33
109
142.25
137.73
11
127.61
122.03
107.51
98.996
125.34
121.49
125.59
119.67
113.23
107.96
141.01
136.54
12
127.15
121.59
106.82
98.362
124.25
120.44
125.09
119.19
112.15
106.92
139.79
135.35
13
126.69
121.15
106.14
97.732
123.17
119.39
124.59
118.71
111.07
105.89
138.57
134.17
14
126.23
120.72
105.46
97.107
122.1
118.35
124.09
118.24
110
104.88
137.37
133
15
125.78
120.28
104.79
96.485
121.04
117.32
123.59
117.76
108.95
103.87
136.17
131.85
16
125.33
119.85
104.12
95.868
119.99
116.3
123.1
117.29
107.9
102.87
134.99
130.7
17
124.87
119.42
103.45
95.254
118.94
115.29
122.61
116.82
106.87
101.88
133.81
129.56
18
124.43
118.99
102.79
94.645
117.91
114.28
122.12
116.36
105.84
100.91
132.65
128.43
19
123.98
118.56
102.13
94.039
116.88
113.29
121.63
115.89
104.82
99.937
131.49
127.32
20
123.53
118.13
101.48
93.437
115.86
112.3
121.14
115.43
103.82
98.978
130.35
126.21
21
123.09
117.71
100.83
92.839
114.86
111.33
120.66
114.97
102.82
98.028
129.21
125.11
22
122.64
117.29
100.18
92.245
113.86
110.36
120.17
114.51
101.83
97.087
128.09
124.02
23
122.2
116.86
99.54
91.655
112.87
109.4
119.69
114.05
100.86
96.155
126.98
122.94
24
121.76
116.44
98.903
91.068
111.89
108.45
119.21
113.59
99.888
95.232
125.87
121.87
25
121.32
116.02
98.27
90.485
110.91
107.5
118.74
113.14
98.93
94.317
124.78
120.81
26
120.89
115.61
97.641
89.906
109.95
106.57
118.26
112.68
97.98
93.412
123.69
119.76
27
120.45
115.19
97.016
89.331
108.99
105.64
117.79
112.23
97.039
92.515
122.61
118.72
28
120.02
114.77
96.395
88.759
108.04
104.72
117.32
111.78
96.108
91.627
121.55
117.69
29
119.59
114.36
95.778
88.191
107.1
103.81
116.85
111.34
95.185
90.747
120.49
116.66
30
119.16
113.95
95.165
87.627
106.17
102.91
116.38
110.89
94.271
89.876
119.44
115.65Table 6
Yearly variations of cost per unit electrical energy ($/kWh) of different commercial PV modules.
Year
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
1
0.013
0.0136
0.0129
0.014
0.0084
0.0087
0.009
0.0095
0.0092
0.0096
0.0075
0.00773
2
0.013
0.0136
0.0129
0.0141
0.0085
0.0088
0.0091
0.0095
0.0093
0.0097
0.0076
0.00779
3
0.0131
0.0137
0.013
0.0141
0.0086
0.0088
0.0091
0.0096
0.0093
0.0098
0.0076
0.00786
4
0.0131
0.0137
0.0131
0.0142
0.0086
0.0089
0.0092
0.0096
0.0094
0.0099
0.0077
0.00793
5
0.0132
0.0138
0.0132
0.0143
0.0087
0.009
0.0092
0.0096
0.0095
0.01
0.0078
0.008
6
0.0132
0.0138
0.0133
0.0144
0.0088
0.0091
0.0092
0.0097
0.0096
0.0101
0.0078
0.00807
7
0.0133
0.0139
0.0134
0.0145
0.0089
0.0092
0.0093
0.0097
0.0097
0.0102
0.0079
0.00814
8
0.0133
0.0139
0.0135
0.0146
0.009
0.0092
0.0093
0.0098
0.0098
0.0103
0.008
0.00821
9
0.0133
0.014
0.0135
0.0147
0.009
0.0093
0.0093
0.0098
0.0099
0.0104
0.008
0.00828
10
0.0134
0.014
0.0136
0.0148
0.0091
0.0094
0.0094
0.0098
0.01
0.0105
0.0081
0.00836
11
0.0134
0.0141
0.0137
0.0149
0.0092
0.0095
0.0094
0.0099
0.0101
0.0106
0.0082
0.00843
12
0.0135
0.0141
0.0138
0.015
0.0093
0.0096
0.0094
0.0099
0.0102
0.0107
0.0082
0.00851
13
0.0135
0.0142
0.0139
0.0151
0.0094
0.0096
0.0095
0.01
0.0103
0.0108
0.0083
0.00858
14
0.0136
0.0142
0.014
0.0152
0.0094
0.0097
0.0095
0.01
0.0104
0.0109
0.0084
0.00865
15
0.0136
0.0143
0.0141
0.0153
0.0095
0.0098
0.0096
0.01
0.0105
0.011
0.0085
0.00873
16
0.0137
0.0143
0.0142
0.0154
0.0096
0.0099
0.0096
0.0101
0.0106
0.0111
0.0085
0.00881
17
0.0137
0.0144
0.0142
0.0155
0.0097
0.01
0.0096
0.0101
0.0107
0.0112
0.0086
0.00888
18
0.0138
0.0144
0.0143
0.0156
0.0098
0.0101
0.0097
0.0102
0.0108
0.0113
0.0087
0.00896
19
0.0138
0.0145
0.0144
0.0157
0.0099
0.0102
0.0097
0.0102
0.0109
0.0114
0.0088
0.00904
20
0.0139
0.0145
0.0145
0.0158
0.0099
0.0103
0.0098
0.0102
0.011
0.0116
0.0088
0.00912
21
0.0139
0.0146
0.0146
0.0159
0.01
0.0103
0.0098
0.0103
0.0111
0.0117
0.0089
0.0092
22
0.014
0.0146
0.0147
0.016
0.0101
0.0104
0.0098
0.0103
0.0112
0.0118
0.009
0.00928
23
0.014
0.0147
0.0148
0.0161
0.0102
0.0105
0.0099
0.0104
0.0113
0.0119
0.0091
0.00936
24
0.0141
0.0147
0.0149
0.0162
0.0103
0.0106
0.0099
0.0104
0.0114
0.012
0.0092
0.00945
25
0.0141
0.0148
0.015
0.0163
0.0104
0.0107
0.01
0.0104
0.0116
0.0121
0.0092
0.00953
26
0.0142
0.0148
0.0151
0.0164
0.0105
0.0108
0.01
0.0105
0.0117
0.0122
0.0093
0.00961
27
0.0142
0.0149
0.0152
0.0165
0.0106
0.0109
0.01
0.0105
0.0118
0.0124
0.0094
0.0097
28
0.0143
0.0149
0.0153
0.0166
0.0107
0.011
0.0101
0.0106
0.0119
0.0125
0.0095
0.00978
29
0.0143
0.015
0.0154
0.0167
0.0108
0.0111
0.0101
0.0106
0.012
0.0126
0.0096
0.00987
30
0.0144
0.0151
0.0155
0.0168
0.0108
0.0112
0.0102
0.0107
0.0121
0.0127
0.0096
0.00995Table 7
Yearly annual electrical energy (kWh) of different laboratory- prepared PV modules.
Year
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
1
91.34
89.537
93.816
92.246
90.853
90.754
102.42
102.32
96.93
96.782
90.06
89.921
2
91.011
89.214
93.215
91.655
90.062
89.964
102.01
101.91
96
95.853
89.276
89.139
3
90.684
88.893
92.619
91.069
89.279
89.181
101.6
101.5
95.078
94.933
88.499
88.363
4
90.357
88.573
92.026
90.486
88.502
88.405
101.2
101.1
94.166
94.021
87.729
87.594
5
90.032
88.254
91.437
89.907
87.732
87.636
100.79
100.69
93.262
93.119
86.966
86.832
6
89.708
87.936
90.852
89.332
86.969
86.874
100.39
100.29
92.366
92.225
86.21
86.077
7
89.385
87.62
90.27
88.76
86.212
86.118
99.985
99.888
91.48
91.339
85.46
85.328
8
89.063
87.304
89.693
88.192
85.462
85.369
99.585
99.488
90.601
90.462
84.716
84.586
9
88.742
86.99
89.119
87.627
84.719
84.626
99.187
99.09
89.732
89.594
83.979
83.85
10
88.423
86.677
88.548
87.066
83.981
83.89
98.79
98.694
88.87
88.734
83.248
83.12
11
88.105
86.365
87.982
86.509
83.251
83.16
98.395
98.299
88.017
87.882
82.524
82.397
12
87.787
86.054
87.418
85.956
82.527
82.437
98.001
97.906
87.172
87.038
81.806
81.68
13
87.471
85.744
86.859
85.405
81.809
81.719
97.609
97.514
86.335
86.203
81.094
80.97
14
87.156
85.436
86.303
84.859
81.097
81.008
97.219
97.124
85.506
85.375
80.389
80.265
15
86.843
85.128
85.751
84.316
80.391
80.304
96.83
96.736
84.686
84.556
79.69
79.567
16
86.53
84.821
85.202
83.776
79.692
79.605
96.443
96.349
83.873
83.744
78.996
78.875
17
86.218
84.516
84.657
83.24
78.999
78.912
96.057
95.963
83.067
82.94
78.309
78.188
18
85.908
84.212
84.115
82.707
78.311
78.226
95.673
95.58
82.27
82.144
77.628
77.508
19
85.599
83.909
83.576
82.178
77.63
77.545
95.29
95.197
81.48
81.355
76.952
76.834
20
85.291
83.607
83.042
81.652
76.955
76.871
94.909
94.817
80.698
80.574
76.283
76.165
21
84.984
83.306
82.51
81.129
76.285
76.202
94.529
94.437
79.923
79.801
75.619
75.503
22
84.678
83.006
81.982
80.61
75.621
75.539
94.151
94.06
79.156
79.035
74.961
74.846
23
84.373
82.707
81.457
80.094
74.964
74.882
93.774
93.683
78.396
78.276
74.309
74.195
24
84.069
82.409
80.936
79.582
74.311
74.23
93.399
93.309
77.643
77.524
73.663
73.549
25
83.766
82.113
80.418
79.072
73.665
73.584
93.026
92.935
76.898
76.78
73.022
72.909
26
83.465
81.817
79.903
78.566
73.024
72.944
92.654
92.564
76.16
76.043
72.387
72.275
27
83.164
81.522
79.392
78.063
72.389
72.31
92.283
92.193
75.429
75.313
71.757
71.646
28
82.865
81.229
78.884
77.564
71.759
71.681
91.914
91.825
74.705
74.59
71.132
71.023
29
82.567
80.936
78.379
77.067
71.135
71.057
91.546
91.457
73.987
73.874
70.514
70.405
30
82.269
80.645
77.877
76.574
70.516
70.439
91.18
91.091
73.277
73.165
69.9
69.792Table 8
Yearly variations of cost per unit electrical energy ($/kWh) of different laboratory prepared PV modules.
Year
c-Si
Poly-Si
a-Si
CdTe
CIGS
a-Si/nc-Si
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
Semi
Opaque
1
0.0188
0.0192
0.0157
0.016
0.0127
0.0127
0.0115
0.0115
0.0118
0.0118
0.0128
0.0128
2
0.0188
0.0192
0.0158
0.0161
0.0128
0.0128
0.0116
0.0116
0.0119
0.0119
0.0129
0.0129
3
0.0189
0.0193
0.0159
0.0162
0.0129
0.0129
0.0116
0.0116
0.012
0.012
0.013
0.013
4
0.019
0.0194
0.016
0.0163
0.013
0.013
0.0117
0.0117
0.0121
0.0122
0.0131
0.0131
5
0.0191
0.0194
0.0161
0.0164
0.0131
0.0131
0.0117
0.0117
0.0123
0.0123
0.0132
0.0133
6
0.0191
0.0195
0.0162
0.0165
0.0132
0.0133
0.0118
0.0118
0.0124
0.0124
0.0134
0.0134
7
0.0192
0.0196
0.0163
0.0166
0.0134
0.0134
0.0118
0.0118
0.0125
0.0125
0.0135
0.0135
8
0.0193
0.0196
0.0164
0.0167
0.0135
0.0135
0.0119
0.0119
0.0126
0.0126
0.0136
0.0136
9
0.0193
0.0197
0.0165
0.0168
0.0136
0.0136
0.0119
0.0119
0.0127
0.0128
0.0137
0.0137
10
0.0194
0.0198
0.0166
0.0169
0.0137
0.0137
0.012
0.012
0.0129
0.0129
0.0138
0.0139
11
0.0195
0.0199
0.0168
0.017
0.0138
0.0138
0.012
0.012
0.013
0.013
0.014
0.014
12
0.0195
0.0199
0.0169
0.0171
0.014
0.014
0.0121
0.0121
0.0131
0.0131
0.0141
0.0141
13
0.0196
0.02
0.017
0.0173
0.0141
0.0141
0.0121
0.0121
0.0132
0.0133
0.0142
0.0142
14
0.0197
0.0201
0.0171
0.0174
0.0142
0.0142
0.0122
0.0122
0.0134
0.0134
0.0143
0.0143
15
0.0198
0.0201
0.0172
0.0175
0.0143
0.0143
0.0122
0.0122
0.0135
0.0135
0.0145
0.0145
16
0.0198
0.0202
0.0173
0.0176
0.0144
0.0145
0.0123
0.0123
0.0136
0.0137
0.0146
0.0146
17
0.0199
0.0203
0.0174
0.0177
0.0146
0.0146
0.0123
0.0123
0.0138
0.0138
0.0147
0.0147
18
0.02
0.0204
0.0175
0.0178
0.0147
0.0147
0.0124
0.0124
0.0139
0.0139
0.0148
0.0149
19
0.02
0.0204
0.0176
0.0179
0.0148
0.0148
0.0124
0.0124
0.014
0.0141
0.015
0.015
20
0.0201
0.0205
0.0178
0.0181
0.015
0.015
0.0125
0.0125
0.0142
0.0142
0.0151
0.0151
21
0.0202
0.0206
0.0179
0.0182
0.0151
0.0151
0.0125
0.0125
0.0143
0.0143
0.0152
0.0153
22
0.0203
0.0207
0.018
0.0183
0.0152
0.0152
0.0126
0.0126
0.0144
0.0145
0.0154
0.0154
23
0.0203
0.0207
0.0181
0.0184
0.0154
0.0154
0.0126
0.0126
0.0146
0.0146
0.0155
0.0155
24
0.0204
0.0208
0.0182
0.0185
0.0155
0.0155
0.0127
0.0127
0.0147
0.0147
0.0156
0.0157
25
0.0205
0.0209
0.0183
0.0186
0.0156
0.0156
0.0127
0.0127
0.0149
0.0149
0.0158
0.0158
26
0.0205
0.021
0.0184
0.0188
0.0158
0.0158
0.0128
0.0128
0.015
0.015
0.0159
0.0159
27
0.0206
0.021
0.0186
0.0189
0.0159
0.0159
0.0128
0.0128
0.0152
0.0152
0.016
0.0161
28
0.0207
0.0211
0.0187
0.019
0.016
0.0161
0.0129
0.0129
0.0153
0.0153
0.0162
0.0162
29
0.0208
0.0212
0.0188
0.0191
0.0162
0.0162
0.0129
0.0129
0.0155
0.0155
0.0163
0.0164
30
0.0208
0.0213
0.0189
0.0192
0.0163
0.0163
0.013
0.013
0.0156
0.0156
0.0165
0.0165Figure 9
Variations in annual electrical energy and cost per unit electrical energy of commercial and laboratory-prepared semitransparent and opaque PV modules of c-Si.Figure 10
Initial (maximum) annual electrical energy for different commercial semitransparent and opaque PV modules.Figure 11
Initial (maximum) cost per unit electrical energy for different commercial semitransparent and opaque PV modules.Figure 12


## 5. Conclusion

The outdoor performance of commercially available and laboratory-made different semitransparent and opaque PV modules has been evaluated. The analysis was carried out particularly for the climatic conditions in the months of January and June in New Delhi, India. On average, the commercial c-Si PV module has shown 1.8 time more efficiency compared to that of a-Si, whereas laboratory-made c-Si PV module has shown 1.9 times more efficiency compared to that of a-Si PV module. For all the PV module technologies, the efficiency first decreases and then increases with time from morning to evening in both months of January and June. This variation in efficiency has been correlated with the module temperature. At high module temperatures, the efficiency is observed to be low. The commercial a-Si PV module has shown 0.8% more temperature compared to that of c-Si. Nearly, all the PV technologies for both opaque and semitransparent modules have shown similar behavior, but semitransparent modules exhibited higher efficiencies (~1.04 times) compared to the opaque ones. However, the module efficiency in January is ~1.02 time more than that in June. Laboratory made PV modules have shown ~1.5 times higher efficiencies compared to those available in the market. For laboratory made PV modules, CdTe has shown the maximum annual electrical energy, whereas among the commercial PV modules, a-Si/nc-Si has shown maximum annual electrical energy generation. In case of laboratory PV modules, a-Si/nc-Si has the minimum annual electric energy generation, whereas in case of commercial PV modules,  poly-Si gas shown the minimum annual electric energy generation. For the PV modules made in the laboratory, c-Si has shown the maximum cost per unit electrical energy, whereas among the commercial PV modules, poly-Si has shown the maximum cost per unit electrical energy. For laboratory made PV modules, CdTe has shown the minimum cost per unit electrical energy, whereas among the commercial PV modules, the a-Si/nc-Si has shown the minimum cost for unit electrical energy. The capitalized cost is found to be minimum for CIGS PV modules.



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*Source: 734581-2013-09-05.xml*