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High concentration photovoltaics:
       potentials and challenges
                      J.C. Miñano, P. Benítez


                       LPI-LLC, USA
          Universidad Politécnica de Madrid, Spain

              Webinar in Photovoltaic Concentration
                           March 12, 2009
                           March 12, 2009
POLITÉCNICA
Outline

       1. Why high concentration photovoltaics (HCPV)?
       2. Concentrator optics fundamentals
       3. Advanced HCPV optics
       4. Comparing HCPV systems
       5. HCPV versus 2-axis tracked flat-plates
       6. Summary




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Why high concentration photovoltaics (HCPV)?
                      Record cell efficiencies
                                                 FhG-ISE

                                                 41.1%




                                                             monolithic
                                                           multijunction
                                                           tandem III-V
                                                            solar cells in
                                                           concentration

       • From ~30% to 40% during the last decade
       • III-V cells are very expensive (~$50,000/m2-$200,000/m2)
       • HCPV purpose is to decrease cell cost by reducing its area

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What is HCPV?
                                             (High) concentration factor
                      s unl i g
                                  ht
                                                 s unl i g
                                                             ht

                       F PP V
         Area A


                                                 HCP V
                  electricity

                                                                     Area A

FPPV=Flat panel PV                                                                   C
                                                                  Solar cell area A /Cg
HCPV=High Concentration Photovoltaics        electricity

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Why high concentration photovoltaics (HCPV)?


                              cell cost + other costs
         cost
                   =
        energy         solar radiation ×            efficiency


       1. Concentration to decrease cell cost
       2. Efficiency=(optical efficiency) x (cell efficiency)
       3. optics, tracker  Tolerance
       4. only direct radiation is useful for concentration (90-65%)




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Outline

       1. Why high concentration photovoltaics (HCPV)?
       2. Concentrator optics fundamentals
       3. Advanced HCPV optics
       4. Comparing HCPV systems
       5. HCPV versus 2-axis tracked flat-plates
       6. Summary




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Classic imaging PV concentrators
        Example: Flat Fresnel lens
                                               ±α




       Rays tilted at the
       acceptance angle α:
       rays focus
       approximately on the
       edge of the cell

                                              Cell



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Classic imaging PV concentrators
        Formal definition of acceptance angle α:
           Angle at which transmission drops to 90% of maximum
                                                                α

                                   Ideal lens
                    T(θ) (%)
             100
                                    Real lens
       90%
             75
                                    α
                                                           Geometrical
             50
                                                           and chromatic
             25
                                                           aberrations
                                          θ (degs)
                       0.5     1   1.5



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Classic imaging PV concentrators
        Modifying the geometrical concentration
                                                                    α
                                α’




                          For a given optical design concept:

                              sin α ≈ constant × cell side

                          Such “constant” strongly depends
                          on the optical design concept
                                                                L
            L’


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Some examples of CPV
   systems based on flat
        Fresnel lens




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Illumination non-homogeneity in imaging concentrators

                              Sun angular diameter= 0.53º (r=±0.27º)



                                              Therefore, imaging concentrators
                                             have to compromise uniformity and
  Fresnel
                                                      pointing tolerance
   lens

                                                         Sun image
                                                         on the cell




                     Cell
                                        Perfect aiming                 Misspointing


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Classic non-imaging secondary
                                                     α
        optical elements (SOE)




                               Prism
                            homogenizer




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Classic non-imaging secondary
        optical elements (SOE)




                                       CPC-type non-
                                          imaging
                                        concentrator
                                     (reduces cell area)



                         Compare cost and efficiency!



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Other imaging concentrator designs

          Parabolic mirror                      Cassegrian two-mirrors


                             Cell




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Other imaging concentrator designs

          Parabolic mirror                      Cassegrian two-mirrors




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Outline

        1. Why high concentration photovoltaics (HCPV)?
        2. Concentrator optics fundamentals
        3. Advanced HCPV optics
        4. Comparing HCPV systems
        5. HCPV versus 2-axis tracked flat-plates
        6. Summary




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Why advanced HCPV optics?

        1. Higher Efficiency

        2. Higher Tolerance

        3. Higher Concentration?


        • To be achieved without increasing the number of optical
          elements.
        • Each optical surface must perform as many functions
          (concentration, homogenization, etc.) as possible.
        • The highest Tolerance for a given Concentration will
          maximize Efficiency at system level.


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Do you need more tolerance?
 Symptomatology:

 1. Optics surfaces require high accuracy
 2. Assembling is expensive because fine adjustments become
        compulsory.
 3. Efficiency decreases significantly from single unit to array.
        Optical mismatch
 4. Efficiency increases significantly when the cells are bigger.
 5. The electricity production waves in moderate windy
        conditions
 6. The efficiency decrease due to dirt accumulation is more
        severe than in flat modules

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Tolerance

        Tolerance budget has to be shared among:
        1. Sun’s angular extension ±0.27°
        2. Optical component manufacturing           0.1°-0.5°
           (shape and roughness)                     present automotive
                                                     industry standards
        3. Module assembling
        4. Array assembling
        5. Tracker structure stiffness
        6. Tracking accuracy



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Advanced HCPV optics: Free-form designs


         • Free-form: surfaces with no prescribed symmetry

         • New degrees of freedom to the design: A single
           optical element can perform multiple functions

         • The SMS 3D design method of Nonimaging Optics is
           the most advanced method to design free-forms




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Free-form XR for HCPV (Boeing-LPI)



Free-form                                              Free-form mirror
lens


                                                                                            Solar cell
                              Homogenizing prism



                                       Free-form lens
A. Plesniak et al. “Demostration of high performance concentrating photovoltaic module designs for utility scale power generation”, ICSC – 5, (Palm Desert, CA, USA,
2008)
A. Cvetkovic, M. Hernández, P. Benítez, J. C. Miñano, J. Schwartz, A. Plesniak, R. Jones, D. Whelan, “The Free Form XR Photovoltaic Concentrator: a High Performance
SMS3D Design”, Proc. SPIE Vol. 7043-12, 2008




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RR free-form Kohler design for HCPV
                Primary lens (R)




                                                                 Secondary lens (R)

           Solar cell

A. Cvetkovic et al. “High Performance Köhler Concentrators with Uniform Irradiance on Solar Cell”, ICSC – 5, (Palm Desert, CA, USA, 2008)




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RR free-form Kohler design for HCPV




A. Cvetkovic et al. “High Performance Köhler Concentrators with Uniform Irradiance on Solar Cell”, ICSC – 5, (Palm Desert, CA, USA, 2008)




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Other free-form designs (for SSL)
                                     Free-form RXI with Kohler
    Free-form RXI
                                     integration




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Outline

        1. Why high concentration photovoltaics (HCPV)?
        2. Concentrator optics fundamentals
        3. Advanced HCPV optics
        4. Comparing HCPV systems
        5. HCPV versus 2-axis tracked flat-plates
        6. Summary




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What should be the criterion to compare
                CPV systems?

   • Final merit function = cost of electricity
   • It is difficult to evaluate before product is very
     mature
   • Several parameters are usually selected as merit
     functions to compare




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Some parameters for CPV systems comparison
        1. Module electrical efficiency at nominal conditions

        2. Concentration

        3. Tolerance angle (in degs)

        4. Nominal power per unit area of the module, Pmodule (in Wp/m2)

        5. Nominal power per unit area of the cell, Pcell (in Wp/cm2)

        6. Estimated yearly energy production in certain reference locations
           (in kWh/(m2 year))

        7. Others: Mounting complexity, numbers of parts per unit area of
           the module, materials cost, weight, depth, thermal design, etc



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The efficiency-concentration-tolerance
                     (ECT) space
               Electrical efficiency η (%)
                                                     Example:
                                                     Fresnel lens
                                                     concentrator with
                                                        η = 27%
                            27%
                                                        Cg=400x
                                400                     α = ±0.5 degs

                                             Concentration Cg
                         0.5 degs



          Tolerance α (degs)



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Boundaries of the ECT space



        Thermodynamic limits:
        • Electrical efficiency (for infinite junctions) limited to: η < 86%
        • Concentration × Tolerance2 < n2 ≈ 2.25 (n=refractive index of encapsulant)




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Boundaries of the ECT space

                                              Electrical efficiency η (%)
                         η < 86%


 Example:
 Fresnel lens
 concentrator with
                                                            Tolerance > sun radius = 0.26º
        η = 27%
        Cg=400x
        α = ±0.5 degs
                                                             Concentration
                              Concentration × Tolerance2 < n2 ≈ 2.25


               Tolerance (degs)

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Comparing CPV systems in the ECT space




  Fresnel lens concentrator              XR free-form concentrator
          η = 27%                                  η = 27%
          Cg=400x                                  Cg=1,000x
          α = ±0.5º                                α = ±1.8º

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Comparing CPV systems in the ECT space
                                                Electrical efficiency (%)
   Fresnel lens concentrator
   XR free-form concentrator


                                                            400 ,000
                                                               1


                                                 ±0
                                                      .5º
                                     ±1
                                          .8º                  Concentration
                           ±2
                              .8º
        Tolerance (degs)
                                          Concentration × Tolerance2 ≈ constant


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Comparing CPV systems in the ECT space
                                               Electrical efficiency (%)
   Fresnel lens concentrator
   XR free-form concentrator



                                                       40 0
                                                                               0
                                                                           ,00
                                                                         2


                                                                        Concentration
                                                             ±0
                                                                  .5º
                           ±2                       ±1
                                                       .3º
                                .8
                                  º
        Tolerance (degs)
                                      Concentration × Tolerance2 ≈ constant


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Comparing CPV systems in the ECT space




A. Plesniak et al. “Demostration of high performance
concentrating photovoltaic module designs for utility scale
power generation”, ICSC – 5, (Palm Desert, CA, USA, 2008)




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Comparing CPV systems in the ECT space
             Advanced XR HCPV
    Target
                                                            Target




                                                            Advanced XR HCPV




                   ±2.8º              33%           600x
        Target ≈   ±2.0º              31%          1,200x


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Outline

        1. Why high concentration photovoltaics (HCPV)?
        2. Concentrator optics fundamentals
        3. Advanced HCPV optics
        4. Comparing HCPV systems
        5. HCPV versus 2-axis tracked flat-plates
        6. Summary




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HCPV versus 2-axis tracked flat-plates
   Concentration-tolerance-efficiency comparison is not possible because
   technologies are quite different.


          cost                 cell cost + other costs
                   =
        energy         solar radiation ×            efficiency
   • Solar radiation: Diffuse radiation can add 15-30% more for flat-plates.
   • Efficiency for flat-plates use to be rated at 25ºC cell temperature while
     the efficiency is rated at 20ºC ambient temperature for concentrators.
   • Efficiency vs temperature coefficients are different for Si and MJ cells
   • Flat plate trackers don’t need accuracy


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HCPV versus 2-axis tracked flat-plates
        Example: Seville (Spain)

                                                      High        HCPV          High
                                    Conventional
                                                   efficiency   for equal   performance    Goal
                                       silicon
                                                     silicon      output        HCPV

        Module efficiency at STC
                                        12.0          19.3          -            -          -
        (%)
        Average efficiency in
                                        10.6          17.5        22.4         27.0        30.0
        operation (%)
        Annual solar irradiation       2580         2580         2012         2012        2012
        (kWh/(m2·year))               (100%)       (100%)        (78%)        (78%)       (78%)
        Nominal annual DC
                                       274           451          451           543         604
        electrical energy density
                                      (100%)       (164%)       (164%)        (198%)      (220%)
        (kWh/(m2·year))




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HCPV versus 2-axis tracked flat-plates
   The most important advantages of HCPV vs flat-plates come from the
   comparison of recent time evolution of efficiencies

          Record cell efficiencies
                                                     • The derivatives of efficiencies
                                                     for MJ and Si cells vs time are
                                         FhG-ISE

                                             41.1%

                                                     significantly different.
                                                     • Si cells are more mature (less
                                                     risk and less expected
                                                     improvements)
                                                     • The same considerations
                                                     affects to cell cost of both
                                                     technologies



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Outline

        1. Why high concentration photovoltaics (HCPV)?
        2. Concentrator optics fundamentals
        3. Advanced HCPV optics
        4. Comparing HCPV systems
        5. HCPV versus 2-axis tracked flat-plates
        6. Summary




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Summary
        1. The potential of HCPV relies on the fast increase of MJ cells
           efficiency
        2. The near-term challenge is beating 2-axis tracking flat-panels
        3. To succeed, HCPV needs high efficiency, sufficient high
           concentration and as much tolerance as possible
        4. The best Efficiency-Concentration-Tolerance is being achieved by
           Advanced Optics.
        5. Scaling-up HCPV will need the synergy with present high-
           throughput low-cost industries (such as automotive or solid state
           lighting)


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LEGAL NOTICE

Devices shown in this presentation are protected by the following US and International Patents and Patents
                                                 Pending:

                                            Patents Issued

HIGH EFFICIENY NON-IMAGING US 6,639,733 October 28, 2003
COMPACT FOLDED-OPTICS ILLUMINATION LENS US 6,896,381 May 24, 2005
COMPACT FOLDED-OPTICS ILLUMINATION LENS US 7,152,985 December 26, 2006
COMPACT FOLDED-OPTICS ILLUMINATION LENS US 7,181,378 February 20, 2007
DEVICE FOR CONCENTRATING OR COLLIMATING RADIANT ENERGY US 7,160,522 January 9, 2007
DISPOSITIVO CON LENTE DISCONTINUA DE REFLEXIÓN TOTAL INTERNA Y DIÓPTRICO ESFÉRICO PARA
CONCENTRACIÓN O COLIMACIÓN DE ENERGÍA RADIANTE Spain ES P9902661 December 2, 1999
OPTICAL MANIFOLD FOR LIGHT-EMITTING DIODES US 7,380,962
OPTICAL MANIFOLD FOR LIGHT-EMITTING DIODES US 7,286,296
THREE-DIMENSIONAL SIMULTANEOUS MULTIPLE-SURFACE METHOD AND FREE-FORM ILLUMINATION-
OPTICS DESIGNED THEREFROM US 7,460,985 December 2, 2008


                                           Patents Pending

DEVICE FOR CONCENTRATING OR COLLIMATING RADIANT ENERGY - a continuation of US 7,160,522
FREE-FORM LENTICULAR OPTICAL ELEMENTS AND THEIR APPLICATION TO CONDENSERS AND
HEADLAMPS PCT/US2006/029464 July 28, 2006
MULTI-JUNCTION SOLAR CELLS WITH A HOMOGENIZER SYSTEM AND COUPLED NON-IMAGING LIGHT
CONCENTRATOR PCT/US07/63522 March 7, 2007
OPTICAL CONCENTRATOR, ESPECIALLY FOR SOLAR PHOTOVOLTAICS PCT/US08/03439 Mar 14, 2008



               Webinar in Photovoltaic Concentration
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Further reading




R. Winston, J.C. Miñano, P. Benítez, NonImaging Optics,   J. Chaves, Introduction to Nonimaging Optics,
Elsevier Academic Press, 2005, ISBN 0127597514                       CRC Press, 2008, ISBN: 9781420054293




              Webinar in Photovoltaic Concentration
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Contacts
                                     LPI EUROPE SL
LPI LLC
                                     Ramón F. de Caleya, Managing Director
Roberto Alvarez, CEO
                                     rfcaleya@lpi-europe.com
ralvarez@lpi-llc.us
                                     Oliver Dross, Technology Director
Waqidi Falicoff, Exec. VP
                                     odross@lpi-europe.com
wfalicoff@lpi-llc.us

                                     Edificio Cedint
2400 Lincoln Ave.
                                     Campus de Montegancedo UPM
Altadena, CA 91001, USA
                                     28223, Madrid, SPAIN
Fax: (949) 265-0547
                                     Fax: (+34) 91 452 4892
www.lpi-llc.com                      www.lpi-europe.com

LPI PO
Bill Tse, General Manager
btse@lpi-llc.us
Unit 02, G/F, Photonics Centre, Science Park East Ave., Hong-Kong, CHINA
Fax: +852 2144 2566
www.lpi-po.com




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LPI Overview


                         LPI-Europe
                         Cologne, Germany
                         Cologne, Germany
                         Madrid, Spain
                         Madrid, Spain
LPI-LLC                                                  LPI-PO
Headquarters
Headquarters                                             Hong Kong, China
                                                         Hong Kong, China
Altadena, California,
Altadena, California,
USA
USA



                        Thank you!

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Acknowledgements

The authors thank the support under the project
PIE521/2008,“Investigación en nuevos concentradores
FV 1000x con células solares de alta eficiencia” given
by the Instituto Madrileño de Desarrollo and the Fondo
Europeo de Desarrollo regional




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                  March 12, 2009

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HCPV Webinar Insights

  • 1. High concentration photovoltaics: potentials and challenges J.C. Miñano, P. Benítez LPI-LLC, USA Universidad Politécnica de Madrid, Spain Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 POLITÉCNICA
  • 2. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 2/42
  • 3. Why high concentration photovoltaics (HCPV)? Record cell efficiencies FhG-ISE 41.1% monolithic multijunction tandem III-V solar cells in concentration • From ~30% to 40% during the last decade • III-V cells are very expensive (~$50,000/m2-$200,000/m2) • HCPV purpose is to decrease cell cost by reducing its area Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 3/42
  • 4. What is HCPV? (High) concentration factor s unl i g ht s unl i g ht F PP V Area A HCP V electricity Area A FPPV=Flat panel PV C Solar cell area A /Cg HCPV=High Concentration Photovoltaics electricity Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 4/42
  • 5. Why high concentration photovoltaics (HCPV)? cell cost + other costs cost = energy solar radiation × efficiency 1. Concentration to decrease cell cost 2. Efficiency=(optical efficiency) x (cell efficiency) 3. optics, tracker Tolerance 4. only direct radiation is useful for concentration (90-65%) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 5/42
  • 6. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 6/42
  • 7. Classic imaging PV concentrators Example: Flat Fresnel lens ±α Rays tilted at the acceptance angle α: rays focus approximately on the edge of the cell Cell Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 7/42
  • 8. Classic imaging PV concentrators Formal definition of acceptance angle α: Angle at which transmission drops to 90% of maximum α Ideal lens T(θ) (%) 100 Real lens 90% 75 α Geometrical 50 and chromatic 25 aberrations θ (degs) 0.5 1 1.5 Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 8/42
  • 9. Classic imaging PV concentrators Modifying the geometrical concentration α α’ For a given optical design concept: sin α ≈ constant × cell side Such “constant” strongly depends on the optical design concept L L’ Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 9/42
  • 10. Some examples of CPV systems based on flat Fresnel lens Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 10/42
  • 11. Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 11/42
  • 12. Illumination non-homogeneity in imaging concentrators Sun angular diameter= 0.53º (r=±0.27º) Therefore, imaging concentrators have to compromise uniformity and Fresnel pointing tolerance lens Sun image on the cell Cell Perfect aiming Misspointing Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 12/42
  • 13. Classic non-imaging secondary α optical elements (SOE) Prism homogenizer Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 13/42
  • 14. Classic non-imaging secondary optical elements (SOE) CPC-type non- imaging concentrator (reduces cell area) Compare cost and efficiency! Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 14/42
  • 15. Other imaging concentrator designs Parabolic mirror Cassegrian two-mirrors Cell Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 15/42
  • 16. Other imaging concentrator designs Parabolic mirror Cassegrian two-mirrors Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 16/42
  • 17. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 17/42
  • 18. Why advanced HCPV optics? 1. Higher Efficiency 2. Higher Tolerance 3. Higher Concentration? • To be achieved without increasing the number of optical elements. • Each optical surface must perform as many functions (concentration, homogenization, etc.) as possible. • The highest Tolerance for a given Concentration will maximize Efficiency at system level. Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 18/42
  • 19. Do you need more tolerance? Symptomatology: 1. Optics surfaces require high accuracy 2. Assembling is expensive because fine adjustments become compulsory. 3. Efficiency decreases significantly from single unit to array. Optical mismatch 4. Efficiency increases significantly when the cells are bigger. 5. The electricity production waves in moderate windy conditions 6. The efficiency decrease due to dirt accumulation is more severe than in flat modules Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 19/42
  • 20. Tolerance Tolerance budget has to be shared among: 1. Sun’s angular extension ±0.27° 2. Optical component manufacturing 0.1°-0.5° (shape and roughness) present automotive industry standards 3. Module assembling 4. Array assembling 5. Tracker structure stiffness 6. Tracking accuracy Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 20/42
  • 21. Advanced HCPV optics: Free-form designs • Free-form: surfaces with no prescribed symmetry • New degrees of freedom to the design: A single optical element can perform multiple functions • The SMS 3D design method of Nonimaging Optics is the most advanced method to design free-forms Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 21/42
  • 22. Free-form XR for HCPV (Boeing-LPI) Free-form Free-form mirror lens Solar cell Homogenizing prism Free-form lens A. Plesniak et al. “Demostration of high performance concentrating photovoltaic module designs for utility scale power generation”, ICSC – 5, (Palm Desert, CA, USA, 2008) A. Cvetkovic, M. Hernández, P. Benítez, J. C. Miñano, J. Schwartz, A. Plesniak, R. Jones, D. Whelan, “The Free Form XR Photovoltaic Concentrator: a High Performance SMS3D Design”, Proc. SPIE Vol. 7043-12, 2008 Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 22/42
  • 23. RR free-form Kohler design for HCPV Primary lens (R) Secondary lens (R) Solar cell A. Cvetkovic et al. “High Performance Köhler Concentrators with Uniform Irradiance on Solar Cell”, ICSC – 5, (Palm Desert, CA, USA, 2008) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 23/42
  • 24. RR free-form Kohler design for HCPV A. Cvetkovic et al. “High Performance Köhler Concentrators with Uniform Irradiance on Solar Cell”, ICSC – 5, (Palm Desert, CA, USA, 2008) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 24/42
  • 25. Other free-form designs (for SSL) Free-form RXI with Kohler Free-form RXI integration Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 25/42
  • 26. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 26/42
  • 27. What should be the criterion to compare CPV systems? • Final merit function = cost of electricity • It is difficult to evaluate before product is very mature • Several parameters are usually selected as merit functions to compare Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 27/42
  • 28. Some parameters for CPV systems comparison 1. Module electrical efficiency at nominal conditions 2. Concentration 3. Tolerance angle (in degs) 4. Nominal power per unit area of the module, Pmodule (in Wp/m2) 5. Nominal power per unit area of the cell, Pcell (in Wp/cm2) 6. Estimated yearly energy production in certain reference locations (in kWh/(m2 year)) 7. Others: Mounting complexity, numbers of parts per unit area of the module, materials cost, weight, depth, thermal design, etc Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 28/42
  • 29. The efficiency-concentration-tolerance (ECT) space Electrical efficiency η (%) Example: Fresnel lens concentrator with η = 27% 27% Cg=400x 400 α = ±0.5 degs Concentration Cg 0.5 degs Tolerance α (degs) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 29/42
  • 30. Boundaries of the ECT space Thermodynamic limits: • Electrical efficiency (for infinite junctions) limited to: η < 86% • Concentration × Tolerance2 < n2 ≈ 2.25 (n=refractive index of encapsulant) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 30/42
  • 31. Boundaries of the ECT space Electrical efficiency η (%) η < 86% Example: Fresnel lens concentrator with Tolerance > sun radius = 0.26º η = 27% Cg=400x α = ±0.5 degs Concentration Concentration × Tolerance2 < n2 ≈ 2.25 Tolerance (degs) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 31/42
  • 32. Comparing CPV systems in the ECT space Fresnel lens concentrator XR free-form concentrator η = 27% η = 27% Cg=400x Cg=1,000x α = ±0.5º α = ±1.8º Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 32/42
  • 33. Comparing CPV systems in the ECT space Electrical efficiency (%) Fresnel lens concentrator XR free-form concentrator 400 ,000 1 ±0 .5º ±1 .8º Concentration ±2 .8º Tolerance (degs) Concentration × Tolerance2 ≈ constant Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 33/42
  • 34. Comparing CPV systems in the ECT space Electrical efficiency (%) Fresnel lens concentrator XR free-form concentrator 40 0 0 ,00 2 Concentration ±0 .5º ±2 ±1 .3º .8 º Tolerance (degs) Concentration × Tolerance2 ≈ constant Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 34/42
  • 35. Comparing CPV systems in the ECT space A. Plesniak et al. “Demostration of high performance concentrating photovoltaic module designs for utility scale power generation”, ICSC – 5, (Palm Desert, CA, USA, 2008) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 35/42
  • 36. Comparing CPV systems in the ECT space Advanced XR HCPV Target Target Advanced XR HCPV ±2.8º 33% 600x Target ≈ ±2.0º 31% 1,200x Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 36/42
  • 37. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 37/42
  • 38. HCPV versus 2-axis tracked flat-plates Concentration-tolerance-efficiency comparison is not possible because technologies are quite different. cost cell cost + other costs = energy solar radiation × efficiency • Solar radiation: Diffuse radiation can add 15-30% more for flat-plates. • Efficiency for flat-plates use to be rated at 25ºC cell temperature while the efficiency is rated at 20ºC ambient temperature for concentrators. • Efficiency vs temperature coefficients are different for Si and MJ cells • Flat plate trackers don’t need accuracy Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 38/42
  • 39. HCPV versus 2-axis tracked flat-plates Example: Seville (Spain) High HCPV High Conventional efficiency for equal performance Goal silicon silicon output HCPV Module efficiency at STC 12.0 19.3 - - - (%) Average efficiency in 10.6 17.5 22.4 27.0 30.0 operation (%) Annual solar irradiation 2580 2580 2012 2012 2012 (kWh/(m2·year)) (100%) (100%) (78%) (78%) (78%) Nominal annual DC 274 451 451 543 604 electrical energy density (100%) (164%) (164%) (198%) (220%) (kWh/(m2·year)) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 39/42
  • 40. HCPV versus 2-axis tracked flat-plates The most important advantages of HCPV vs flat-plates come from the comparison of recent time evolution of efficiencies Record cell efficiencies • The derivatives of efficiencies for MJ and Si cells vs time are FhG-ISE 41.1% significantly different. • Si cells are more mature (less risk and less expected improvements) • The same considerations affects to cell cost of both technologies Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 40/42
  • 41. Outline 1. Why high concentration photovoltaics (HCPV)? 2. Concentrator optics fundamentals 3. Advanced HCPV optics 4. Comparing HCPV systems 5. HCPV versus 2-axis tracked flat-plates 6. Summary Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 41/42
  • 42. Summary 1. The potential of HCPV relies on the fast increase of MJ cells efficiency 2. The near-term challenge is beating 2-axis tracking flat-panels 3. To succeed, HCPV needs high efficiency, sufficient high concentration and as much tolerance as possible 4. The best Efficiency-Concentration-Tolerance is being achieved by Advanced Optics. 5. Scaling-up HCPV will need the synergy with present high- throughput low-cost industries (such as automotive or solid state lighting) Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009 42/42
  • 43. LEGAL NOTICE Devices shown in this presentation are protected by the following US and International Patents and Patents Pending: Patents Issued HIGH EFFICIENY NON-IMAGING US 6,639,733 October 28, 2003 COMPACT FOLDED-OPTICS ILLUMINATION LENS US 6,896,381 May 24, 2005 COMPACT FOLDED-OPTICS ILLUMINATION LENS US 7,152,985 December 26, 2006 COMPACT FOLDED-OPTICS ILLUMINATION LENS US 7,181,378 February 20, 2007 DEVICE FOR CONCENTRATING OR COLLIMATING RADIANT ENERGY US 7,160,522 January 9, 2007 DISPOSITIVO CON LENTE DISCONTINUA DE REFLEXIÓN TOTAL INTERNA Y DIÓPTRICO ESFÉRICO PARA CONCENTRACIÓN O COLIMACIÓN DE ENERGÍA RADIANTE Spain ES P9902661 December 2, 1999 OPTICAL MANIFOLD FOR LIGHT-EMITTING DIODES US 7,380,962 OPTICAL MANIFOLD FOR LIGHT-EMITTING DIODES US 7,286,296 THREE-DIMENSIONAL SIMULTANEOUS MULTIPLE-SURFACE METHOD AND FREE-FORM ILLUMINATION- OPTICS DESIGNED THEREFROM US 7,460,985 December 2, 2008 Patents Pending DEVICE FOR CONCENTRATING OR COLLIMATING RADIANT ENERGY - a continuation of US 7,160,522 FREE-FORM LENTICULAR OPTICAL ELEMENTS AND THEIR APPLICATION TO CONDENSERS AND HEADLAMPS PCT/US2006/029464 July 28, 2006 MULTI-JUNCTION SOLAR CELLS WITH A HOMOGENIZER SYSTEM AND COUPLED NON-IMAGING LIGHT CONCENTRATOR PCT/US07/63522 March 7, 2007 OPTICAL CONCENTRATOR, ESPECIALLY FOR SOLAR PHOTOVOLTAICS PCT/US08/03439 Mar 14, 2008 Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009
  • 44. Further reading R. Winston, J.C. Miñano, P. Benítez, NonImaging Optics, J. Chaves, Introduction to Nonimaging Optics, Elsevier Academic Press, 2005, ISBN 0127597514 CRC Press, 2008, ISBN: 9781420054293 Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009
  • 45. Contacts LPI EUROPE SL LPI LLC Ramón F. de Caleya, Managing Director Roberto Alvarez, CEO rfcaleya@lpi-europe.com ralvarez@lpi-llc.us Oliver Dross, Technology Director Waqidi Falicoff, Exec. VP odross@lpi-europe.com wfalicoff@lpi-llc.us Edificio Cedint 2400 Lincoln Ave. Campus de Montegancedo UPM Altadena, CA 91001, USA 28223, Madrid, SPAIN Fax: (949) 265-0547 Fax: (+34) 91 452 4892 www.lpi-llc.com www.lpi-europe.com LPI PO Bill Tse, General Manager btse@lpi-llc.us Unit 02, G/F, Photonics Centre, Science Park East Ave., Hong-Kong, CHINA Fax: +852 2144 2566 www.lpi-po.com Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009
  • 46. LPI Overview LPI-Europe Cologne, Germany Cologne, Germany Madrid, Spain Madrid, Spain LPI-LLC LPI-PO Headquarters Headquarters Hong Kong, China Hong Kong, China Altadena, California, Altadena, California, USA USA Thank you! Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009
  • 47. Acknowledgements The authors thank the support under the project PIE521/2008,“Investigación en nuevos concentradores FV 1000x con células solares de alta eficiencia” given by the Instituto Madrileño de Desarrollo and the Fondo Europeo de Desarrollo regional Webinar in Photovoltaic Concentration March 12, 2009 March 12, 2009