Modeling and simulation of electrothermal feedback in large-area organic LEDs

Liero, Matthias; Fuhrmann, Jürgen; Glitzky, Annegret; Koprucki, Th.; Fischer, Axel; Reineke, Sebastian

doi:10.1109/nusod.2017.8010013

Cited by 1 publication

(1 citation statement)

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“…We rigorously derived an effective system of equations from the thermistor model introduced in [16] (see also [15]) governing the heat and current flow through a large-area, thin film OLED device mounted on a glass substrate. The effective equations were derived by obtaining certain a priori bounds for the lateral and vertical components of the electrostatic potential and the gradient of the temperature, respectively.…”

Section: Discussionmentioning

confidence: 99%

Dimension reduction of thermistor models for large-area organic light-emitting diodes

Glitzky¹,

Liero²,

Nika³

2021

DCDS-S

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An effective system of partial differential equations describing the heat and current flow through a thin organic light-emitting diode (OLED) mounted on a glass substrate is rigorously derived from a recently introduced fully three-dimensional p(x)-Laplace thermistor model. The OLED consists of several thin layers that scale differently with respect to the multiscale parameter ε > 0, which is the ratio between the total thickness and the lateral extent of the OLED. Starting point of the derivation is a rescaled formulation of the current-flow equation in the OLED for the driving potential and the heat equation in OLED and glass substrate with Joule heat term concentrated in the OLED. Assuming physically motivated scalings in the electrical flux functions, uniform a priori bounds are derived for the solutions of the three-dimensional system which facilitates the extraction of converging subsequences with limits that are identified as solutions of a dimension reduced system. In the latter, the effective current-flow equation is given by two semilinear equations in the two-dimensional cross-sections of the electrodes and algebraic equations for the continuity of the electrical fluxes through the organic layers. The effective heat equation is formulated only in the glass substrate with Joule heat term on the part of the boundary where the OLED is mounted.

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Section: Discussionmentioning

confidence: 99%