A modified pseudo-steady-state analytical expression for battery modeling
| Autor: | Grietus Mulder, Kudakwashe Chayambuka, DL Dmitry Danilov, Peter H. L. Notten |
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| Přispěvatelé: | Control Systems, Dynamics and Control for Electrified Automotive Systems |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Battery (electricity)
Diffusion equation Discretization Computer science 02 engineering and technology 01 natural sciences Porous electrodes Analytical methods 0103 physical sciences Materials Chemistry Applied mathematics ddc:530 Boundary value problem SDG 7 - Affordable and Clean Energy 010306 general physics Time complexity Applied Physics Spherical diffusion Finite difference Pseudo-steady state General Chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics Porous electrodes Pseudo-steady state Analytical methods Spherical diffusion Orders of magnitude (time) Convergence problem 0210 nano-technology SDG 7 – Betaalbare en schone energie |
| Zdroj: | Solid state communications 296, 49-53 (2019). doi:10.1016/j.ssc.2019.04.011 Solid State Communications, 296, 49-53. Elsevier |
| ISSN: | 0038-1098 |
| DOI: | 10.1016/j.ssc.2019.04.011 |
| Popis: | The solid-state spherical diffusion equation with flux boundary conditions is a standard problem in lithium-ion battery simulations. If finite difference schemes are applied, many nodes across a discretized battery electrode become necessary, in order to reach a good approximation of solution. Such a grid-based approach can be appropriately avoided by implementing analytical methods which reduce the computational load. The pseudo-steady-state (PSS) method is an exact analytical solution method, which provides accurate solid-state concentrations at all current densities. The popularization of the PSS method, in the existing form of expression, is however constrained by a solution convergence problem. In this short communication, a modified PSS (MPSS) expression is presented which provides uniformly convergent solutions at all times. To minimize computational runtime, a fast MPPS (FMPPS) expression is further developed, which is shown to be faster by approximately three orders of magnitude and has a constant time complexity. Using the FMPSS method, uniformly convergent exact solutions are obtained for the solid-state diffusion problem in spherical active particles. |
| Databáze: | OpenAIRE |
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