Solar and Wind Power generation
Dr. D.S. More
Associate Prof .
Electrical Engineering Department
Walchand College of Engineering.
SANGLI
E-mail: dsm.wce@gmail.com
Content
• Introduction to Solar PV Module
• Solar PV cell
• Equivalent Circuit of PN Junction solar cell
• Characteristics of Solar Cell
• PV cell parameters
• Solar Array
05-02-2023 Solar and wind power 2
Different Energy Carriers
• Solar Energy
05-02-2023 Solar and wind power 3
Solar Thermal and Solar PV System
05-02-2023 Solar and wind power 4
Grid connected Solar PV System
• Grid connected
05-02-2023 Solar and wind power 5
Off Grid Solar PV System
• Stand alone
05-02-2023 Solar and wind power 6
PV technology Family Tree
• Crystalline silicon Wafer based => i) Poly crystalline
• Ii) Mono Crystalline
• Thin film based=> i)Amorphous Si ii) Tandem a-si/micro-cryataline
iii) CIGS ( Copper Indium Gallium selenide) iv) CeTd ( Cadmium
Tullerid) v) Di- Sensitized Tio2
• Special i ) Compound semiconductor (GsAs based)
05-02-2023 Solar and wind power 7
PV technology Family Tree
05-02-2023 Solar and wind power 8
PV Module Technologies
• Mono crystalline silicon
• Poly-crystalline silicon
• Flexible amorphous thin film
• CIGS thin film (Copper Indium Gallium Selenide)
05-02-2023 Solar and wind power 9
Semiconductor Basics
• Ev = Valence band energy Ec = Conduction band Energy
• bandgap, Eg = EC –EV
• If photon energy
• Is greater than
• Band gap energy
• Then generation
• Of Electron-hole pair
• Eg is less than 3.5 eV
05-02-2023 Solar and wind power 10
PN Junction
• Space charge region and Quasi neutral region
• Electronics in n region
holes in p region
Are mobile charge
• Atomic level material
Is not neutral but Micro level
Material is neutral
P type and N type region is the
quasi Neutral region
Space charge region also
Called as depletion region
05-02-2023 Solar and wind power 11
Solar Cell
• Principle : Generation of a potential difference at the junction of two different
materials in response to electromagnetic radiation
• Light consists of well defined energy quanta, called photons.
• E = hV, h is Planck’s constant and V is the frequency of the light.
• Planck's constant = 6.62607004 × 10-34 m2 kg / s
• Generation of charge carriers due to the absorption of photons in the materials
that form a junction
• Electron Energy will increase from Ei to Ef
hV= Ef -Ei
05-02-2023 Solar and wind power 12
Solar Cell
• The absorption of a photon therefore leads to the creation of
an electron-hole pair generated in space charge region
• Subsequent separation of the
photo-generated charge carriers
in the junction due to electric field
of the space charge
• Electrons will move to n type material
holes will move to P type material
• Potential difference will built
across the junction
• .
05-02-2023 Solar and wind power 13
Solar Cell
• PN Junction under Illumination
• Under uniform illumination condition, generation of carriers (electron
hole pairs) occur in space charge region
05-02-2023 Solar and wind power 14
Solar Cell
• Due to electric field in the space charge region electrons will move
• at n side and similarly holes will move at P side.
• Thus electrons at n side and holes at P side will increase resulting in
voltage across the junction.
• This effect is called as photo voltaic effect.
05-02-2023 Solar and wind power 15
Solar Cell Characteristics
• I-V Characteristics
• Isc = 0.8 A (for 1 cell)
• Voc = 0.6 V (for 1 cell)
• For M cells in parallel, Itotal = M x Isc
• For N cells in series, Vtotal = N x Voc
• Short circuit current Isc
• Open circuit voltage Voc
05-02-2023 Solar and wind power 16
Solar Cell Characteristics
• P-V Characteristics
• Fill factor => Ratio of VmIm and
Voc Ioc
• Efficiency is ratio of o/p
power to i/p power.
Efficiency is 13 to 15 % for
Poly-crystalline silicon.
05-02-2023 Solar and wind power 17
Efficiencies of Solar Panels
• Panel type and Efficiency
• Monocrystalline 20% and up
• Polycrystalline 15-17%
• Copper indium gallium selenide (CIGS) 13-15%
• Cadmium telluride (CdTe) 9-11%
• Amorphous silicon (a-Si) 6-8%
05-02-2023 Solar and wind power 18
Short Circuit Current Isc
• Short circuit current => Maximum current when terminals of solar
cell are shorted .
• Photon is absorbed by the solar cell and electron-hole pairs are
generated.
• Range of photons which are part of solar spectrum which are able to
excite the electron
• Photon Energy (E) and wavelength (λ) is related as
• E 𝑒𝑉 = ℎ𝑣 =
ℎ𝑐
λ
=
1.24
λ
( λ in μm)
• where c = Speed of light in vacuum
05-02-2023 Solar and wind power 19
Short Circuit Current Isc
• Photon flux for solar spectrum AM1.5 (air mass)
05-02-2023 Solar and wind power 20
Visible light wave
length
380 to 700 nm
Short Circuit Current Isc
• Maximum short circuit current=> no recombination of generated
electron –hole pairs
• Each photon will contribute one electron in external load circuit
• Photon required to posses energy higher than bandgap energy
• Short circuit current will increase with decrease in band gap energy
• Si has bandgap Energy =1.1 EV and hence short circuit current =
46mA/ cm2
•Solar cell dimensions 156 mm x156 mm
05-02-2023 Solar and wind power 21
Isc and Bandgap Energy
• Isc
05-02-2023 Solar and wind power 22
Open circuit voltage Voc
• Maximum voltage generated across the terminals of solar cell when
they are kept open
• Voc => Forward bias voltage of PN Junction due to light generated
current.
• Potential energy of electrons (Shifted from valance band to
conduction band)
• Eg = qV hence Voc= Eg/q
• Voc is decided by band gap energy
• Band gap energy for Si is 1.1eV and hence
Maximum Voc =1.1 V
• 𝑉𝑜𝑐 =
𝑘𝑇
𝑞
ln(
𝐼𝐿
𝐼𝑜
− 1)
05-02-2023 Solar and wind power 23
Open circuit voltage Voc
• 𝑉𝑜𝑐 = (𝑘𝑇/𝑞)ln[(𝐼𝐿/𝐼𝑜)−1]
• K = Boltzmann’s constant T=> PV cell operating temperature (oK)
• q= Electron charge Io = PV cell’s reverse saturation current (A)
• IL=cell output current
• For higher open circuit voltage = Io should be less
• Io is minimum when recombination rate is equal to the thermal
equilibrium recombination rate
• For Si solar cell Voc = 0.85 V
•
05-02-2023 Solar and wind power 24
Fill factor
• Fill factor is defined as squareness of the I-V curve
• Fill factor related with resistive loss in the cell
• The Voc which will provide the best value for FF is
• 𝐹𝐹 =
𝑉𝑜𝑐 −ln(𝑉𝑜𝑐+0.72)
𝑉𝑜𝑐+1
where 𝑣𝑜𝑐 = 𝑉𝑜𝑐/(
𝐾𝑇
𝑞
)
• Value of FF= 0.80 to 0.89
• Voc = open circuit voltage
• voc = open circuit voltage normalized
• to the thermal voltage
• Solar cell with higher Voc has higher FF
05-02-2023 Solar and wind power 25
Efficiency of Solar Cell
• Short circuit current decrease
with increase in band gap
• Open circuit voltage increase
with increase in band gap
• There is optimum bandgap
for maximum efficiency
• Maximum efficiency is
approximately 31%
Optimum band gap = 1.45 eV
05-02-2023 Solar and wind power 26
Efficiency of Solar Cell
• Assumptions
• Solar spectrum AM1.5
• Solar cell with single PN
Junction
• Higher efficiency for
Multiple PN junctions
• Normal light, no
Light concentration
05-02-2023 Solar and wind power 27
Solar spectrum at earths Surface
2/5/2023 WCE, Sangli 28
AIR MASS
• Less solar radiations will reach when they travel a longer distance
through air mass ( Atmosphere)
• Morning and Evening => solar radiations will travel a longer distance
through air Mass
• Radiation spectrum outside the earth surface is AM0
• During Noon radiation spectrum is AM1
• If sun rays making angle θ with vertical then AM= 1/cosθ
•
Losses in Solar Cell- Fundamental losses
• Loss of low energy photons : Photons with less energy than bandgap
Energy will not be absorbed in the material. No generation elctron-
hole pairs. Transmission loss = 23%
• Loss due to excess energy of Photons: Excess energy will be given as a
heat to the material. Thermalization loss =33%
• Voltage loss: band gap voltage = Eg/q where as actual obtained
voltage is Voc . The ratio of Voc/(Eg/q)= 0.65 to 0.72.
• This happens due to recombination
• Fill factor loss: loss due to series and shunt resistance of the cell
• FF= 0.82 to 0.89
05-02-2023 Solar and wind power 30
Losses in Solar Cell- technological losses
• Loss by Reflection: Part of the incident photons is reflected from the
cell surface , minimized by anti reflecting coating and surface
texturing
• Loss due to incomplete absorption: loss of photons which have
enough energy to get absorbed in the cell, but do not get absorbed
due to limited thickness of cell. Minimized by light trapping scheme
• Loss due to metal coverage : contacts made with finger and busbar.
This metal contact shadows the light. It can be up to 10%
• Recombination loss: recombination occure in the bulk of material or
at the surface. Minimized => surface and bulk passivation technique
05-02-2023 Solar and wind power 31
Solar Cell Characteristics
• I –V characteristics at different radiation levels
05-02-2023 Solar and wind power 32
Solar Cell Characteristics
• P-V Characteristics at different solar radiations
05-02-2023 Solar and wind power 33
Solar cell Equivalent Circuit
• Equivalent Circuit
• Solar cell behaves as a current source
• IL represents solar cell current
• Diode D represents the recombination in base and emitter .
• I-V behaviors of diode with temp is represented
• Solar cell behavior with temp is also included.
• Ohmic loss in the cell is represented with Rs and Rsh
05-02-2023 Solar and wind power 34
Solar cell Equivalent Circuit
• Equivalent Circuit
05-02-2023 Solar and wind power 35
Solar cell Equivalent Circuit
• Equivalent Circuit
• I = cell output current , Io= PV cell’s reverse saturation current (A)
• V : Cell output voltage (V), IL: Photon current (A)
• T: PV cell operating temperature (oK) , K: Boltzmann’s constant
• q: Electron charge, η: Ideality constant, between 1 and 2
• Rsh: PV cell intrinsic parallel resistance (Ω)
• RS: PV cell intrinsic series resistance (Ω)
05-02-2023 Solar and wind power 36
Effect of Shunt and Series Resistance
• It affects the fill factor of solar cell
• Series resistance => resistance of base, emitter,
semiconductor- metal contact resistance and resistance of
metal contact.
• Shunt resistance=> leakage across PN junction
• Shunt resistance should be as high as possible
05-02-2023 Solar and wind power 37
Effect of series resistance
05-02-2023 Solar and wind power 38
Effect of shunt resistance
• shunt
05-02-2023 Solar and wind power 39
PV Cell, Modules & Arrays PV
Solar PV Cell
Module with 36 cells in
series
Array
05-02-2023 Solar and wind power 40
• Individual solar cells electrically
connected together in series and
parallel
• Larger voltage and current o/p ⇒
Larger Power
• Power rating 3Wp to 300Wp (Wp
= Watts Peak)
PV Modules
05-02-2023 Solar and wind power 41
Series Connection of Cells
Two Cells connected in Series
05-02-2023 Solar and wind power 42
Parallel Connection of Cells
Two Cells connected in Parallel
05-02-2023 Solar and wind power 43
Series-Parallel Connection of Cells
Two Cells connected in Series-Parallel
05-02-2023 Solar and wind power 44
• All devices are required to be identical in terms of electrical
parameters
• There are always some differences, which are minor or major
• Mismatch leads to loss of power and/or damage to modules
• The differences could be due to:
▪ Difference in the cell processing
▪ Cells or modules of same rating but different manufacturers
▪ Different outside conditions, partial shading of cells or modules
▪ Cell encapsulating material becoming semi-transparent due to
the damage cause by UV light
▪ Breaking of glass cover
Mismatch in Cells
05-02-2023 Solar and wind power 45
Mismatch in Series Connection
• Mismatch can occur due to difference in Voc and
Isc
05-02-2023 Solar and wind power 46
Mismatch in Series Connection
• In Open Circuit mode,
Vo/p = Voc1 + Voc2
• In any other operating point
Po/p = P1 + P2
• There is no loss of Power
• Pmismatch < Pnormal
• Considering both have same Voc
Difference in open circuit voltage Voc
05-02-2023 Solar and wind power 47
Mismatch in Series Connection
• In Open Circuit mode,
Vo/p = 2Voc
• In Short Circuit mode,
(lower current)
Vo/p = 0 (V1=-V2, V1&V2 ≠ 0)
• In any other operating point ,
Po/p < P1 + P2
• There will be loss of Power
Difference in short circuit current Isc
Io/p = Isc2
05-02-2023 Solar and wind power 48
Mismatch in Series Connection
Difference in short circuit current Isc
Power generator
Power dissipator
05-02-2023 Solar and wind power 49
Mismatch in Series Connection
• Cell 2 is forced to go into reverse bias condition
• This is to maintain same current in the series combination
Forward biased current of cell 2 decreases
• Effective current increases (effective current = light generated
current – forward bias current)
• Power generated by cell 2 becomes negative [Power = I(-V) = -
IV]
• Cell 2 dissipates power instead of generating it
05-02-2023 Solar and wind power 50
Hot Spots
• 1 of the 10 series connected
cells is shaded
• Under SC condition, the
shaded cell will become
reverse biased
• Strong reverse bias can cause
the shaded cell to
break down
• String will provide some
output power but it will be
limited by the shaded cell
• The ‘extra power’ will be
dissipated in the shaded cell
05-02-2023 Solar and wind power 51
Hot Spots
• The dissipated power results in heating of shaded cell
and nearby area
• This leads to “hot spots” in the module
• Mismatch of electrical parameters can also cause hot
spots
• Hot spots may result in:
▪ Breaking of the cell
▪ Detachment of metal contact
▪ Breaking of glass cover
Cracking of module
due to hot spots
05-02-2023 Solar and wind power 52
Bypass Diode
05-02-2023 Solar and wind power 53
Bypass Diode
• Used to avoid destructive effect of hot spots
• Connected in parallel with solar cells with opposite
polarity to that of solar cell
• In normal condition, the diode is reverse biased and
doesn’t conduct
• In shaded condition (for series connection), the reverse
bias will appear across the cell and the diode will be
forward biased
• Extra current generated by the non-shaded cells will pass
through the bypass diode
• Bypass diode avoids power dissipation in the cells
05-02-2023 Solar and wind power 54
Bypass Diode
• Bypass diode affects the solar cell only in reverse bias
• The diode turns on and conducts current when
Reverse Bias > Knee Voltage of Solar Cell
05-02-2023 Solar and wind power 55
Bypass Diode
• Voc of string is reduced
• Isc remains same
• For non-shaded condition, Vo/p = N x Voc
• For shaded condition, Vo/p = (N-1)Voc – Vfb (Vfb = forward bias
voltage of diode)
• Ideally, there should be one diode per cell
• In practice, there is 1 diode per 10 to 15 cells in order to reduce
costs
• Nowadays, 2 bypass diodes are used for 36 cells.
05-02-2023 Solar and wind power 56
Mismatch in Parallel Connection
• Mismatch in parallel also occurs due to mismatch in
either short circuit current or open circuit voltage
05-02-2023 Solar and wind power 57
• Mismatch in parallel due to mismatch in
short currents is not a problem
• The currents in parallel connection will be
the sum of individual currents of solar cells
• The mismatch will result in losses
• The mismatch in parallel connection is less
harmful than that in series connection
Mismatch in Parallel Connection
05-02-2023 Solar and wind power 58
Mismatch in Parallel Connection
• When the combination is operated
near open circuit condition, the total
current of the combination should be
zero
• The cell with low open circuit voltage
will be working with higher forward
bias voltage
• The extra current generated by Cell 1
(with higher Voc), will be flowing
through Cell 2 Difference in open circuit voltage Voc
05-02-2023 Solar and wind power 59
Mismatch in Parallel Connection
• The operating point of the
combination can be obtained by
taking the reflection or mirror image
of I-V curve with respect to the x-
axis as shown
• The crossover point of the curve will
be the operating point of the
combination
Difference in open circuit voltage Voc
05-02-2023 Solar and wind power 60
Mismatch in Parallel Connection
• Module :The mismatch due to parallel
connection does not occur in modules, since the
cells in a module are connected in series
• PV Array : Mismatch in parallel occurs in PV
arrays where several modules are connected in
series and parallel
05-02-2023 Solar and wind power 61
Mismatches in Parallel Connections
of Modules
• Several types of mismatches are possible
• A module in parallel can be in open
circuit as shown
• The open-circuited module will not
contribute to generated current
• Now, the other three modules will have
to deal with greater current which could
damage them
• A bypass diode will be useful in
bypassing the current and avoid the
harmful effects of mismatch
05-02-2023 Solar and wind power 62
Mismatches in Parallel Connections
of Modules
• A mismatch could also be in bypass
diodes themselves as they could be non-
identical
• A bypass diode having lower resistance
will conduct more current
• This will cause its heating, reducing its
resistance further and causing even larger
current to flow (thermal runaway)
• The diode can even burn out if a large
current flows through it
• Thus the bypass diodes should be identical
and have high current carrying capacities Effect of non-identical bypass diodes
05-02-2023 Solar and wind power 63
• There could be mismatches in
modules
• A module in an array producing
lesser power than others could
become a load for the other modules
• In the night, the modules could
become a load for batteries
• In order to avoid reverse flow of
current, Blocking Diodes are used
• Blocking diodes avoid the current to
flow in reverse direction
Blocking Diodes
05-02-2023 Solar and wind power 64

Chapter 2 Solar PV Module.pdf Solar PV Module.pdf

  • 1.
    Solar and WindPower generation Dr. D.S. More Associate Prof . Electrical Engineering Department Walchand College of Engineering. SANGLI E-mail: dsm.wce@gmail.com
  • 2.
    Content • Introduction toSolar PV Module • Solar PV cell • Equivalent Circuit of PN Junction solar cell • Characteristics of Solar Cell • PV cell parameters • Solar Array 05-02-2023 Solar and wind power 2
  • 3.
    Different Energy Carriers •Solar Energy 05-02-2023 Solar and wind power 3
  • 4.
    Solar Thermal andSolar PV System 05-02-2023 Solar and wind power 4
  • 5.
    Grid connected SolarPV System • Grid connected 05-02-2023 Solar and wind power 5
  • 6.
    Off Grid SolarPV System • Stand alone 05-02-2023 Solar and wind power 6
  • 7.
    PV technology FamilyTree • Crystalline silicon Wafer based => i) Poly crystalline • Ii) Mono Crystalline • Thin film based=> i)Amorphous Si ii) Tandem a-si/micro-cryataline iii) CIGS ( Copper Indium Gallium selenide) iv) CeTd ( Cadmium Tullerid) v) Di- Sensitized Tio2 • Special i ) Compound semiconductor (GsAs based) 05-02-2023 Solar and wind power 7
  • 8.
    PV technology FamilyTree 05-02-2023 Solar and wind power 8
  • 9.
    PV Module Technologies •Mono crystalline silicon • Poly-crystalline silicon • Flexible amorphous thin film • CIGS thin film (Copper Indium Gallium Selenide) 05-02-2023 Solar and wind power 9
  • 10.
    Semiconductor Basics • Ev= Valence band energy Ec = Conduction band Energy • bandgap, Eg = EC –EV • If photon energy • Is greater than • Band gap energy • Then generation • Of Electron-hole pair • Eg is less than 3.5 eV 05-02-2023 Solar and wind power 10
  • 11.
    PN Junction • Spacecharge region and Quasi neutral region • Electronics in n region holes in p region Are mobile charge • Atomic level material Is not neutral but Micro level Material is neutral P type and N type region is the quasi Neutral region Space charge region also Called as depletion region 05-02-2023 Solar and wind power 11
  • 12.
    Solar Cell • Principle: Generation of a potential difference at the junction of two different materials in response to electromagnetic radiation • Light consists of well defined energy quanta, called photons. • E = hV, h is Planck’s constant and V is the frequency of the light. • Planck's constant = 6.62607004 × 10-34 m2 kg / s • Generation of charge carriers due to the absorption of photons in the materials that form a junction • Electron Energy will increase from Ei to Ef hV= Ef -Ei 05-02-2023 Solar and wind power 12
  • 13.
    Solar Cell • Theabsorption of a photon therefore leads to the creation of an electron-hole pair generated in space charge region • Subsequent separation of the photo-generated charge carriers in the junction due to electric field of the space charge • Electrons will move to n type material holes will move to P type material • Potential difference will built across the junction • . 05-02-2023 Solar and wind power 13
  • 14.
    Solar Cell • PNJunction under Illumination • Under uniform illumination condition, generation of carriers (electron hole pairs) occur in space charge region 05-02-2023 Solar and wind power 14
  • 15.
    Solar Cell • Dueto electric field in the space charge region electrons will move • at n side and similarly holes will move at P side. • Thus electrons at n side and holes at P side will increase resulting in voltage across the junction. • This effect is called as photo voltaic effect. 05-02-2023 Solar and wind power 15
  • 16.
    Solar Cell Characteristics •I-V Characteristics • Isc = 0.8 A (for 1 cell) • Voc = 0.6 V (for 1 cell) • For M cells in parallel, Itotal = M x Isc • For N cells in series, Vtotal = N x Voc • Short circuit current Isc • Open circuit voltage Voc 05-02-2023 Solar and wind power 16
  • 17.
    Solar Cell Characteristics •P-V Characteristics • Fill factor => Ratio of VmIm and Voc Ioc • Efficiency is ratio of o/p power to i/p power. Efficiency is 13 to 15 % for Poly-crystalline silicon. 05-02-2023 Solar and wind power 17
  • 18.
    Efficiencies of SolarPanels • Panel type and Efficiency • Monocrystalline 20% and up • Polycrystalline 15-17% • Copper indium gallium selenide (CIGS) 13-15% • Cadmium telluride (CdTe) 9-11% • Amorphous silicon (a-Si) 6-8% 05-02-2023 Solar and wind power 18
  • 19.
    Short Circuit CurrentIsc • Short circuit current => Maximum current when terminals of solar cell are shorted . • Photon is absorbed by the solar cell and electron-hole pairs are generated. • Range of photons which are part of solar spectrum which are able to excite the electron • Photon Energy (E) and wavelength (λ) is related as • E 𝑒𝑉 = ℎ𝑣 = ℎ𝑐 λ = 1.24 λ ( λ in μm) • where c = Speed of light in vacuum 05-02-2023 Solar and wind power 19
  • 20.
    Short Circuit CurrentIsc • Photon flux for solar spectrum AM1.5 (air mass) 05-02-2023 Solar and wind power 20 Visible light wave length 380 to 700 nm
  • 21.
    Short Circuit CurrentIsc • Maximum short circuit current=> no recombination of generated electron –hole pairs • Each photon will contribute one electron in external load circuit • Photon required to posses energy higher than bandgap energy • Short circuit current will increase with decrease in band gap energy • Si has bandgap Energy =1.1 EV and hence short circuit current = 46mA/ cm2 •Solar cell dimensions 156 mm x156 mm 05-02-2023 Solar and wind power 21
  • 22.
    Isc and BandgapEnergy • Isc 05-02-2023 Solar and wind power 22
  • 23.
    Open circuit voltageVoc • Maximum voltage generated across the terminals of solar cell when they are kept open • Voc => Forward bias voltage of PN Junction due to light generated current. • Potential energy of electrons (Shifted from valance band to conduction band) • Eg = qV hence Voc= Eg/q • Voc is decided by band gap energy • Band gap energy for Si is 1.1eV and hence Maximum Voc =1.1 V • 𝑉𝑜𝑐 = 𝑘𝑇 𝑞 ln( 𝐼𝐿 𝐼𝑜 − 1) 05-02-2023 Solar and wind power 23
  • 24.
    Open circuit voltageVoc • 𝑉𝑜𝑐 = (𝑘𝑇/𝑞)ln[(𝐼𝐿/𝐼𝑜)−1] • K = Boltzmann’s constant T=> PV cell operating temperature (oK) • q= Electron charge Io = PV cell’s reverse saturation current (A) • IL=cell output current • For higher open circuit voltage = Io should be less • Io is minimum when recombination rate is equal to the thermal equilibrium recombination rate • For Si solar cell Voc = 0.85 V • 05-02-2023 Solar and wind power 24
  • 25.
    Fill factor • Fillfactor is defined as squareness of the I-V curve • Fill factor related with resistive loss in the cell • The Voc which will provide the best value for FF is • 𝐹𝐹 = 𝑉𝑜𝑐 −ln(𝑉𝑜𝑐+0.72) 𝑉𝑜𝑐+1 where 𝑣𝑜𝑐 = 𝑉𝑜𝑐/( 𝐾𝑇 𝑞 ) • Value of FF= 0.80 to 0.89 • Voc = open circuit voltage • voc = open circuit voltage normalized • to the thermal voltage • Solar cell with higher Voc has higher FF 05-02-2023 Solar and wind power 25
  • 26.
    Efficiency of SolarCell • Short circuit current decrease with increase in band gap • Open circuit voltage increase with increase in band gap • There is optimum bandgap for maximum efficiency • Maximum efficiency is approximately 31% Optimum band gap = 1.45 eV 05-02-2023 Solar and wind power 26
  • 27.
    Efficiency of SolarCell • Assumptions • Solar spectrum AM1.5 • Solar cell with single PN Junction • Higher efficiency for Multiple PN junctions • Normal light, no Light concentration 05-02-2023 Solar and wind power 27
  • 28.
    Solar spectrum atearths Surface 2/5/2023 WCE, Sangli 28
  • 29.
    AIR MASS • Lesssolar radiations will reach when they travel a longer distance through air mass ( Atmosphere) • Morning and Evening => solar radiations will travel a longer distance through air Mass • Radiation spectrum outside the earth surface is AM0 • During Noon radiation spectrum is AM1 • If sun rays making angle θ with vertical then AM= 1/cosθ •
  • 30.
    Losses in SolarCell- Fundamental losses • Loss of low energy photons : Photons with less energy than bandgap Energy will not be absorbed in the material. No generation elctron- hole pairs. Transmission loss = 23% • Loss due to excess energy of Photons: Excess energy will be given as a heat to the material. Thermalization loss =33% • Voltage loss: band gap voltage = Eg/q where as actual obtained voltage is Voc . The ratio of Voc/(Eg/q)= 0.65 to 0.72. • This happens due to recombination • Fill factor loss: loss due to series and shunt resistance of the cell • FF= 0.82 to 0.89 05-02-2023 Solar and wind power 30
  • 31.
    Losses in SolarCell- technological losses • Loss by Reflection: Part of the incident photons is reflected from the cell surface , minimized by anti reflecting coating and surface texturing • Loss due to incomplete absorption: loss of photons which have enough energy to get absorbed in the cell, but do not get absorbed due to limited thickness of cell. Minimized by light trapping scheme • Loss due to metal coverage : contacts made with finger and busbar. This metal contact shadows the light. It can be up to 10% • Recombination loss: recombination occure in the bulk of material or at the surface. Minimized => surface and bulk passivation technique 05-02-2023 Solar and wind power 31
  • 32.
    Solar Cell Characteristics •I –V characteristics at different radiation levels 05-02-2023 Solar and wind power 32
  • 33.
    Solar Cell Characteristics •P-V Characteristics at different solar radiations 05-02-2023 Solar and wind power 33
  • 34.
    Solar cell EquivalentCircuit • Equivalent Circuit • Solar cell behaves as a current source • IL represents solar cell current • Diode D represents the recombination in base and emitter . • I-V behaviors of diode with temp is represented • Solar cell behavior with temp is also included. • Ohmic loss in the cell is represented with Rs and Rsh 05-02-2023 Solar and wind power 34
  • 35.
    Solar cell EquivalentCircuit • Equivalent Circuit 05-02-2023 Solar and wind power 35
  • 36.
    Solar cell EquivalentCircuit • Equivalent Circuit • I = cell output current , Io= PV cell’s reverse saturation current (A) • V : Cell output voltage (V), IL: Photon current (A) • T: PV cell operating temperature (oK) , K: Boltzmann’s constant • q: Electron charge, η: Ideality constant, between 1 and 2 • Rsh: PV cell intrinsic parallel resistance (Ω) • RS: PV cell intrinsic series resistance (Ω) 05-02-2023 Solar and wind power 36
  • 37.
    Effect of Shuntand Series Resistance • It affects the fill factor of solar cell • Series resistance => resistance of base, emitter, semiconductor- metal contact resistance and resistance of metal contact. • Shunt resistance=> leakage across PN junction • Shunt resistance should be as high as possible 05-02-2023 Solar and wind power 37
  • 38.
    Effect of seriesresistance 05-02-2023 Solar and wind power 38
  • 39.
    Effect of shuntresistance • shunt 05-02-2023 Solar and wind power 39
  • 40.
    PV Cell, Modules& Arrays PV Solar PV Cell Module with 36 cells in series Array 05-02-2023 Solar and wind power 40
  • 41.
    • Individual solarcells electrically connected together in series and parallel • Larger voltage and current o/p ⇒ Larger Power • Power rating 3Wp to 300Wp (Wp = Watts Peak) PV Modules 05-02-2023 Solar and wind power 41
  • 42.
    Series Connection ofCells Two Cells connected in Series 05-02-2023 Solar and wind power 42
  • 43.
    Parallel Connection ofCells Two Cells connected in Parallel 05-02-2023 Solar and wind power 43
  • 44.
    Series-Parallel Connection ofCells Two Cells connected in Series-Parallel 05-02-2023 Solar and wind power 44
  • 45.
    • All devicesare required to be identical in terms of electrical parameters • There are always some differences, which are minor or major • Mismatch leads to loss of power and/or damage to modules • The differences could be due to: ▪ Difference in the cell processing ▪ Cells or modules of same rating but different manufacturers ▪ Different outside conditions, partial shading of cells or modules ▪ Cell encapsulating material becoming semi-transparent due to the damage cause by UV light ▪ Breaking of glass cover Mismatch in Cells 05-02-2023 Solar and wind power 45
  • 46.
    Mismatch in SeriesConnection • Mismatch can occur due to difference in Voc and Isc 05-02-2023 Solar and wind power 46
  • 47.
    Mismatch in SeriesConnection • In Open Circuit mode, Vo/p = Voc1 + Voc2 • In any other operating point Po/p = P1 + P2 • There is no loss of Power • Pmismatch < Pnormal • Considering both have same Voc Difference in open circuit voltage Voc 05-02-2023 Solar and wind power 47
  • 48.
    Mismatch in SeriesConnection • In Open Circuit mode, Vo/p = 2Voc • In Short Circuit mode, (lower current) Vo/p = 0 (V1=-V2, V1&V2 ≠ 0) • In any other operating point , Po/p < P1 + P2 • There will be loss of Power Difference in short circuit current Isc Io/p = Isc2 05-02-2023 Solar and wind power 48
  • 49.
    Mismatch in SeriesConnection Difference in short circuit current Isc Power generator Power dissipator 05-02-2023 Solar and wind power 49
  • 50.
    Mismatch in SeriesConnection • Cell 2 is forced to go into reverse bias condition • This is to maintain same current in the series combination Forward biased current of cell 2 decreases • Effective current increases (effective current = light generated current – forward bias current) • Power generated by cell 2 becomes negative [Power = I(-V) = - IV] • Cell 2 dissipates power instead of generating it 05-02-2023 Solar and wind power 50
  • 51.
    Hot Spots • 1of the 10 series connected cells is shaded • Under SC condition, the shaded cell will become reverse biased • Strong reverse bias can cause the shaded cell to break down • String will provide some output power but it will be limited by the shaded cell • The ‘extra power’ will be dissipated in the shaded cell 05-02-2023 Solar and wind power 51
  • 52.
    Hot Spots • Thedissipated power results in heating of shaded cell and nearby area • This leads to “hot spots” in the module • Mismatch of electrical parameters can also cause hot spots • Hot spots may result in: ▪ Breaking of the cell ▪ Detachment of metal contact ▪ Breaking of glass cover Cracking of module due to hot spots 05-02-2023 Solar and wind power 52
  • 53.
  • 54.
    Bypass Diode • Usedto avoid destructive effect of hot spots • Connected in parallel with solar cells with opposite polarity to that of solar cell • In normal condition, the diode is reverse biased and doesn’t conduct • In shaded condition (for series connection), the reverse bias will appear across the cell and the diode will be forward biased • Extra current generated by the non-shaded cells will pass through the bypass diode • Bypass diode avoids power dissipation in the cells 05-02-2023 Solar and wind power 54
  • 55.
    Bypass Diode • Bypassdiode affects the solar cell only in reverse bias • The diode turns on and conducts current when Reverse Bias > Knee Voltage of Solar Cell 05-02-2023 Solar and wind power 55
  • 56.
    Bypass Diode • Vocof string is reduced • Isc remains same • For non-shaded condition, Vo/p = N x Voc • For shaded condition, Vo/p = (N-1)Voc – Vfb (Vfb = forward bias voltage of diode) • Ideally, there should be one diode per cell • In practice, there is 1 diode per 10 to 15 cells in order to reduce costs • Nowadays, 2 bypass diodes are used for 36 cells. 05-02-2023 Solar and wind power 56
  • 57.
    Mismatch in ParallelConnection • Mismatch in parallel also occurs due to mismatch in either short circuit current or open circuit voltage 05-02-2023 Solar and wind power 57
  • 58.
    • Mismatch inparallel due to mismatch in short currents is not a problem • The currents in parallel connection will be the sum of individual currents of solar cells • The mismatch will result in losses • The mismatch in parallel connection is less harmful than that in series connection Mismatch in Parallel Connection 05-02-2023 Solar and wind power 58
  • 59.
    Mismatch in ParallelConnection • When the combination is operated near open circuit condition, the total current of the combination should be zero • The cell with low open circuit voltage will be working with higher forward bias voltage • The extra current generated by Cell 1 (with higher Voc), will be flowing through Cell 2 Difference in open circuit voltage Voc 05-02-2023 Solar and wind power 59
  • 60.
    Mismatch in ParallelConnection • The operating point of the combination can be obtained by taking the reflection or mirror image of I-V curve with respect to the x- axis as shown • The crossover point of the curve will be the operating point of the combination Difference in open circuit voltage Voc 05-02-2023 Solar and wind power 60
  • 61.
    Mismatch in ParallelConnection • Module :The mismatch due to parallel connection does not occur in modules, since the cells in a module are connected in series • PV Array : Mismatch in parallel occurs in PV arrays where several modules are connected in series and parallel 05-02-2023 Solar and wind power 61
  • 62.
    Mismatches in ParallelConnections of Modules • Several types of mismatches are possible • A module in parallel can be in open circuit as shown • The open-circuited module will not contribute to generated current • Now, the other three modules will have to deal with greater current which could damage them • A bypass diode will be useful in bypassing the current and avoid the harmful effects of mismatch 05-02-2023 Solar and wind power 62
  • 63.
    Mismatches in ParallelConnections of Modules • A mismatch could also be in bypass diodes themselves as they could be non- identical • A bypass diode having lower resistance will conduct more current • This will cause its heating, reducing its resistance further and causing even larger current to flow (thermal runaway) • The diode can even burn out if a large current flows through it • Thus the bypass diodes should be identical and have high current carrying capacities Effect of non-identical bypass diodes 05-02-2023 Solar and wind power 63
  • 64.
    • There couldbe mismatches in modules • A module in an array producing lesser power than others could become a load for the other modules • In the night, the modules could become a load for batteries • In order to avoid reverse flow of current, Blocking Diodes are used • Blocking diodes avoid the current to flow in reverse direction Blocking Diodes 05-02-2023 Solar and wind power 64