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University of Pennsylvania

Applied Mathematics

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A Pde-Based Method For Optimizing Solar Cell Performance, Xiaoxian Liu Jan 2014

A Pde-Based Method For Optimizing Solar Cell Performance, Xiaoxian Liu

Publicly Accessible Penn Dissertations

In this paper, we address the optimal design problem for organic solar cells (OSC).

In particular, our focus is to enhance short-curcuit photocurrent by optimizing the

donor-acceptor interface. To that end, we propose two drift-diffusion models for

organic solar cells, both of which account for the physics of OSC's that charge

carriers are mostly generated in the region near the donor-acceptor interface. For

the first drift-diffusion model, the generation of charge carriers is translated into

a boundary condition across the donor-acceptor interface. We apply the theory of

shape optimization to compute the shape gradient functional of the photocurrent. In ...