Marquis 2019 SPMe #2076
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Hi, I was going through the Marquis 2019 paper and trying to replicate its SPMe. However, I realised that the full diffusion model in Pybamm uses equations 3a - 3i [which is the SPMe(S) model]. But, I want to use the canonical version of this, or plain SPMe which is give by equations 40a to 40p and I am not sure how to use this version of SPMe on Pybamm. I am guessing I need to specify the type of diffusion in the options as maybe 'first order' or 'leading order' but I am not sure. Any insight ifs much appreciated. |
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The SPMe in pybamm is the canonical SPMe (40a-p), except using non-linear diffusion instead of linear diffusion for (40c) (see "Timms, R., et al. "Corrigendum to “Generalised single particle models for high-rate operation of graded lithium-ion electrodes: Systematic derivation and validation”[Electrochimica Acta 339 (2020) 135862]." Electrochimica Acta 351 (2020).") It does use the "full diffusion" submodel, but |
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The SPMe in pybamm is the canonical SPMe (40a-p), except using non-linear diffusion instead of linear diffusion for (40c) (see "Timms, R., et al. "Corrigendum to “Generalised single particle models for high-rate operation of graded lithium-ion electrodes: Systematic derivation and validation”[Electrochimica Acta 339 (2020) 135862]." Electrochimica Acta 351 (2020).")
It does use the "full diffusion" submodel, but
i_e
is specified as the piecewise linear function by the composite electrolyte conductivity model (instead of the full conductivity model), andj
is piecewise constant, so the resulting diffusion equation is different from DFN.