solar cell efficiency

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Photovoltaic Devices

OPTOELECTRONICS 1 Prof. Wei-I Lee

OPTOELECTRONICS

哪一天期末考 ? 6/20 ( 五 )

LED, LD, Solar Cells

EF 252, EF 254

2 Prof. Wei-I Lee

QUIZ 姓名 學號 母親生日

OPTOELECTRONICS 3 Prof. Wei-I Lee

QUIZ 姓名 學號 母親生日

A solar cell under an illumination of 600 W/m

2 has a short circuit current

I sc of 16 mA and an open circuit output voltage V oc of 0.5 V. What is the short circuit current when the light intensity is doubled?

OPTOELECTRONICS 4 Prof. Wei-I Lee

Solar Energy

Solar Energy at earth’s surface, average solar energy ~ 4 x 10 24 J/year or ~ 5 x 10 20 J/hr global energy consumption in 2001 ~ 4 x 10 20 J/year

OPTOELECTRONICS 5 Prof. Wei-I Lee

Solar Energy Spectrum

Solar Energy Spectrum Above Earth’s Atmoaphere radiation intensity form sun resembles a black body radiation @ 6000K

I λ , spectral intensity : intensity per unit wavelength

I λ

δλ

: intensity in a small wavelength interval

δλ air-mass zero, AM0 (solar constant) : total power flow through a unit area above Earth’s atmosphere perpendicular to the direction of the sun

( ~1.353 kW/m 2 )

OPTOELECTRONICS 6 Prof. Wei-I Lee

Solar Energy Spectrum

Solar Energy Spectrum Above Earth’s Atmoaphere radiation intensity form sun resembles a black body radiation @ 6000K

I λ , spectral intensity : intensity per unit wavelength

I λ

δλ

: intensity in a small wavelength interval

δλ air-mass zero, AM0 (solar constant) : total power flow through a unit area above Earth’s atmosphere perpendicular to the direction of the sun

( ~1.353 kW/m 2 )

OPTOELECTRONICS 7 Prof. Wei-I Lee

Solar Energy Spectrum

Solar Energy Spectrum at Earth’s Surface actual intensity spectrum on Earth’s surface depends on the absorption and scattering effects of the atmosphere and hence on the atmospheric composition and the radiation path length through the atmosphere air-mass m, AMm : (the actual radiation path) / (shortest path)

m = h / h

0

= sec

θ

AM1.5 Î incident energy on a unit area normal to sun rays which travel the atmospheric length of 1.5 h

0

OPTOELECTRONICS 8 Prof. Wei-I Lee

Solar Energy Spectrum

Solar Energy Spectrum at Earth’s Surface ozone, air and water vapor molecules can cause sharp absorption peaks atmospheric molecules and dust particles scatter the sun Î terrestrial light has a diffuse component in addition to the direct component shorter

λ experience more scattering than longer

λ on a cloudy day, diffuse component ~ 20% of total radiation (higher on cloudy days)

OPTOELECTRONICS 9 Prof. Wei-I Lee

Photovoltaic Device Principles

Schematic of a Typical Single Junction Si Solar Cell consider a Si pn junction with a very thin and more heavily doped n region with finger electrodes and thin antireflection (AR) coating on the surface

S

OPTOELECTRONICS 10 Prof. Wei-I Lee

Photovoltaic Device Principles

Generation of Electron-Hole Pairs (EHP) prefer to have most photons absorbed in the depletion region

Î photogenerated EHP immediately separate by built-in E

0 field longer-

λ photons absorbed in

S neutral p-region Î only photogenerated e

- within minority carrier diffusion length

L e can reach depletion region and contribute to photovoltaic effect short-

λ photons absorbed in neutral n-region Î only photogenerated hole within minority carrier diffusion length

L h can reach depletion region and contribute to photovoltaic effect

OPTOELECTRONICS 11

1/

μ m

Prof. Wei-I Lee

Photovoltaic Device Principles

Open Circuit Voltage and Photocurrent photogenerated EHP within

(L e

+ W + L h

) contribute to photovoltaic effect

L e

> L h

Î choose n on p structure photogenerated e

- drift to n region

S and phogenerated holes drift to p region

Î open circuit voltage (V oc

) developed

( p-side positive w.r.t. n-side ) with externally connected load

Î excess e

on n-side flow through load to recombine with excess holes on p-side

Î photocurrent

OPTOELECTRONICS 12 Prof. Wei-I Lee

Photovoltaic Device Principles

Solar Cell Structure Design photogenerated EHP near device surface disappear by recombination due to surface defects

E g of Si ~ 1.1 eV Î threshold absorption

λ

~ 1.1

μ m

@

λ

~ 1 – 1.2

μ m,

α of Si is small

Î absorption depth (1/

α

) > 100

μ m

Î need thick p-side ( 200 ~ 500

μ m )

S and large L e to have most light absorbed in depletion region Î n region must be thin ( < 0.2

μ m)

L h doesn’t have to longer than n-side l n

Î n can be doped high to reduce series resistance and provide good metal contact

OPTOELECTRONICS 13

1/

μ m

Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Solar Cell I-V Characteristics load R = 0 , V = 0 Î I = I sc or – I ph

(

|

I sc

|

: short circuit current )

I sc

= - I ph

= - K I , I : illumination light intensity

I sc

( I ph

) does not depend on the voltage across the pn junction

R ≠ 0 Î V ≠ 0 Î a forward diode current I d arises total current :

+ – + –

+ –

OPTOELECTRONICS 14 Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Determination of Operation Point total current :

I-V characteristics of a typical Si solar cell

Î I-V under dark, or dark I-V, shifted by I sc

(

I ph

)

V oc

’s dependence by illumination light intensity is weak across the load : I R = – V Î I = – V / R

Î load line w. the slope of ( – 1/R) operation point Î crossing point of the diode I-V curve and the load line

+ –

OPTOELECTRONICS 15 Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Delivered Power and Fill Factor power delivered to the load, P out

= I’V’ fill factor FF = (I m

V m

) / (I sc

V oc

)

(I m

V m

) : maximized delivered power, i.e. the largest

(I’V’ ) rectangular area obtainable ( by changing R or illumination intensity ) typical FF : 70 ~ 85%

+ –

OPTOELECTRONICS 16 Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Solar Cell Efficiency and Band-gap

To maximize solar cell energy conversion efficiency

Î maximize

|

I sc

| and V oc

I sc depends mainly on solar cell material’s band-gap : E g

↘ Î |

I sc

| ↗ from Î

Î ( assuming V oc

>> nk

B

T/e )

I o

E g

↘ Î I o

↗ Î V oc

E g

↘ Î |

I sc

| ↗ ,   V oc

Î there is a theoretically optimized band-gap for highest solar cell efficiency

OPTOELECTRONICS 17 Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Solar Cell Structure Design

OPTOELECTRONICS 18 Prof. Wei-I Lee

Photovoltaic I-V Characteristics

Theoretical Single Junction Solar Cell Efficiencies

Despite the low maximum-efficiency values, solar cells remain the most efficient way yet demonstrated converting sunlight to electricity.

OPTOELECTRONICS 19 Prof. Wei-I Lee

Series Resistance and Equivalent Circuit

Series Resistance and Parallel Resistance sources of series resistance in the diode :

- conduction of electrons in thin n region toward the finger electrode

- conduction resistance of the electrodes ( when electrodes are thin )

- resistance due the neutral p region ( usually small ) sources of shunt (or parallel) resistance in the diode : photo-generated carriers flow through crystal surface ( edges of the device ) or through grain boundaries in polycrystalline devices typically, R p less important than R s

OPTOELECTRONICS 20 Prof. Wei-I Lee

Series Resistance and Equivalent Circuit

Effects of Series and Parallel Resistance

R s

↗ Î FF ↘

Î solar cell efficiency ↘ when R s is sufficiently large Î |

I sc

| ↘

R s does not affect V oc

R p leads to a reduced V oc

Î solar cell efficiency ↘

Ideal

OPTOELECTRONICS 21 Prof. Wei-I Lee

Temperature Effects

Temperature Effects

T ↗ Î solar cell output voltage ↘ ,   cell efficiency ↘ from Î

Î

Î

( assuming V oc

>> nk

B

T/e ) and I o

Î

Î , since V oc

< E g

/e : when T ↗ Î V oc

( above is a first order estimation, a complete calculation is more complicated, e.g. N c and N v are T-depend. , and T ↗ Î E g

↘ Î V oc

↘ , but

|

I sc

| ↗ )

OPTOELECTRONICS 22 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Si Cells With Textured Surface textured surface improves light absorption after fraction, photons would enter at oblique angles and absorbed within

L e

Î more effective electron-hole pair generation

OPTOELECTRONICS 23 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Window Layer on GaAs Cells

AlGaAs window layer passivates GaAs surface defects

Î reduce surface recombination and improve cell efficiency

OPTOELECTRONICS 24 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Heterojunction Solar Cells use lattice matched III-V semiconductors of different band-gaps h

υ

> 2 eV photons absorbed by wide band-gap AlGaAs

1.4 eV < h

υ

< 2 eV photons absorbed in GaAs

Î reduce energy loss by lattice thermalization

OPTOELECTRONICS 25 energy loss by lattice thermalizaton

Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Tandem or Multi-Junction Solar Cells state of the art is 3-junction cells typical 3J cell contains 20 layers or more

OPTOELECTRONICS

Source : Spectrolab

26 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Concentrator Solar Cells

3J cell can reach peak efficiency at 500 suns, making big difference in system economics

OPTOELECTRONICS

Source : Spectrolab

27 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Compound Solar Cell Development

OPTOELECTRONICS

Source : Spectrolab

28 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Best 3J Cell in 2006

OPTOELECTRONICS 29

Source : Spectrolab

Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Concentrator Photovoltaic System – I

OPTOELECTRONICS

Source : Spectrolab

30 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Concentrator Photovoltaic System – II

OPTOELECTRONICS

Source : Spectrolab

31 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Solar Cell Efficiency Development Milestones

OPTOELECTRONICS

Source : National Renewable Energy Lab.

32 Prof. Wei-I Lee

Solar Cell Materials, Devices and Efficiencies

Four and Five Junction Solar Cells

High-Efficiency

Multi-junction Photovoltaics

current 4 junction stack yields an efficiency of 43% with optical concentration

GaP high band gap top cell in multi-junction stack needed to achieve

50% (theDARPA target efficiency)

Infrared cell

OPTOELECTRONICS

Source : Purdue University Energy Center

33 Prof. Wei-I Lee

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