Asymptotic and numerical prediction of current-voltage curves for an organic bilayer solar cell under varying illumination and comparison to the Shockley equivalent circuit

Handle URI:
http://hdl.handle.net/10754/597620
Title:
Asymptotic and numerical prediction of current-voltage curves for an organic bilayer solar cell under varying illumination and comparison to the Shockley equivalent circuit
Authors:
Foster, J. M.; Kirkpatrick, J.; Richardson, G.
Abstract:
In this study, a drift-diffusion model is used to derive the current-voltage curves of an organic bilayer solar cell consisting of slabs of electron acceptor and electron donor materials sandwiched together between current collectors. A simplified version of the standard drift-diffusion equations is employed in which minority carrier densities are neglected. This is justified by the large disparities in electron affinity and ionisation potential between the two materials. The resulting equations are solved (via both asymptotic and numerical techniques) in conjunction with (i) Ohmic boundary conditions on the contacts and (ii) an internal boundary condition, imposed on the interface between the two materials, that accounts for charge pair generation (resulting from the dissociation of excitons) and charge pair recombination. Current-voltage curves are calculated from the solution to this model as a function of the strength of the solar charge generation. In the physically relevant power generating regime, it is shown that these current-voltage curves are well-approximated by a Shockley equivalent circuit model. Furthermore, since our drift-diffusion model is predictive, it can be used to directly calculate equivalent circuit parameters from the material parameters of the device. © 2013 AIP Publishing LLC.
Citation:
Foster JM, Kirkpatrick J, Richardson G (2013) Asymptotic and numerical prediction of current-voltage curves for an organic bilayer solar cell under varying illumination and comparison to the Shockley equivalent circuit. Journal of Applied Physics 114: 104501. Available: http://dx.doi.org/10.1063/1.4820567.
Publisher:
AIP Publishing
Journal:
Journal of Applied Physics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
2013
DOI:
10.1063/1.4820567
Type:
Article
ISSN:
0021-8979
Sponsors:
J.F. and G. R. would both like to thank the EPSRC, who funded this research through Grant No. EP/I01702X/1, and Colin Please and an anonymous referee for helpful comments. This publication is partially based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), via an OCCAM visiting research fellowship awarded to G.R.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorFoster, J. M.en
dc.contributor.authorKirkpatrick, J.en
dc.contributor.authorRichardson, G.en
dc.date.accessioned2016-02-25T12:43:11Zen
dc.date.available2016-02-25T12:43:11Zen
dc.date.issued2013en
dc.identifier.citationFoster JM, Kirkpatrick J, Richardson G (2013) Asymptotic and numerical prediction of current-voltage curves for an organic bilayer solar cell under varying illumination and comparison to the Shockley equivalent circuit. Journal of Applied Physics 114: 104501. Available: http://dx.doi.org/10.1063/1.4820567.en
dc.identifier.issn0021-8979en
dc.identifier.doi10.1063/1.4820567en
dc.identifier.urihttp://hdl.handle.net/10754/597620en
dc.description.abstractIn this study, a drift-diffusion model is used to derive the current-voltage curves of an organic bilayer solar cell consisting of slabs of electron acceptor and electron donor materials sandwiched together between current collectors. A simplified version of the standard drift-diffusion equations is employed in which minority carrier densities are neglected. This is justified by the large disparities in electron affinity and ionisation potential between the two materials. The resulting equations are solved (via both asymptotic and numerical techniques) in conjunction with (i) Ohmic boundary conditions on the contacts and (ii) an internal boundary condition, imposed on the interface between the two materials, that accounts for charge pair generation (resulting from the dissociation of excitons) and charge pair recombination. Current-voltage curves are calculated from the solution to this model as a function of the strength of the solar charge generation. In the physically relevant power generating regime, it is shown that these current-voltage curves are well-approximated by a Shockley equivalent circuit model. Furthermore, since our drift-diffusion model is predictive, it can be used to directly calculate equivalent circuit parameters from the material parameters of the device. © 2013 AIP Publishing LLC.en
dc.description.sponsorshipJ.F. and G. R. would both like to thank the EPSRC, who funded this research through Grant No. EP/I01702X/1, and Colin Please and an anonymous referee for helpful comments. This publication is partially based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), via an OCCAM visiting research fellowship awarded to G.R.en
dc.publisherAIP Publishingen
dc.titleAsymptotic and numerical prediction of current-voltage curves for an organic bilayer solar cell under varying illumination and comparison to the Shockley equivalent circuiten
dc.typeArticleen
dc.identifier.journalJournal of Applied Physicsen
dc.contributor.institutionUniversity of Southampton, Southampton, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionTessella, Abingdon, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.