{ "Header": { "BPX": "0.4.0", "Title": "Test case: Single Particle Model (SPM) parameterisation example based on nmc_pouch_cell_BPX.json from About:Energy open-source release.", "Description": "NMC111|graphite 12.5 Ah pouch cell. Parameterisation by About:Energy Limited (aboutenergy.io), December 2022, based on cell cycling data, and electrode data gathered after cell teardown. Negative electrode entropic coefficient data are from O'Regan et al. 2022 (doi:10.1016/j.electacta.2022.140700). Positive electrode entropic coefficient data are from Viswanathan et al. 2010 (doi:10.1016/j.jpowsour.2009.11.103). Other thermal properties are estimated.", "Model": "SPM" }, "Parameterisation": { "Cell": { "Ambient temperature [K]": 298.15, "Initial temperature [K]": 298.15, "Reference temperature [K]": 298.15, "Lower voltage cut-off [V]": 2.7, "Upper voltage cut-off [V]": 4.2, "Nominal cell capacity [A.h]": 12.5, "Specific heat capacity [J.K-1.kg-1]": 913, "Thermal conductivity [W.m-1.K-1]": 2.04, "Density [kg.m-3]": 1847, "Electrode area [m2]": 0.016808, "Number of electrode pairs connected in parallel to make a cell": 34, "External surface area [m2]": 0.0379, "Volume [m3]": 0.000128 }, "Negative electrode": { "Particle radius [m]": 4.12e-06, "Thickness [m]": 5.62e-05, "Diffusivity [m2.s-1]": 2.728e-14, "OCP [V]": "9.47057878e-01 * exp(-1.59418743e+02 * x) - 3.50928033e+04 + 1.64230269e-01 * tanh(-4.55509094e+01 * (x - 3.24116012e-02 )) + 3.69968491e-02 * tanh(-1.96718868e+01 * (x - 1.68334476e-01)) + 1.91517003e+04 * tanh(3.19648312e+00 * (x - 1.85139824e+00)) + 5.42448511e+04 * tanh(-3.19009848e+00 * (x - 2.01660395e+00))", "Entropic change coefficient [V.K-1]": "(-0.1112 * x + 0.02914 + 0.3561 * exp(-((x - 0.08309) ** 2) / 0.004616)) / 1000", "Surface area per unit volume [m-1]": 499522, "Reaction rate constant [mol.m-2.s-1]": 5.199e-06, "Minimum stoichiometry": 0.005504, "Maximum stoichiometry": 0.75668, "Maximum concentration [mol.m-3]": 29730, "Diffusivity activation energy [J.mol-1]": 30000, "Reaction rate constant activation energy [J.mol-1]": 55000 }, "Positive electrode": { "Particle radius [m]": 4.6e-06, "Thickness [m]": 5.23e-05, "Diffusivity [m2.s-1]": 3.2e-14, "OCP [V]": "-3.04420906 * x + 10.04892207 - 0.65637536 * tanh(-4.02134095 * (x - 0.80063948)) + 4.24678547 * tanh(12.17805062 * (x - 7.57659337)) - 0.3757068 * tanh(59.33067782 * (x - 0.99784492))", "Entropic change coefficient [V.K-1]": -1e-4, "Surface area per unit volume [m-1]": 432072, "Reaction rate constant [mol.m-2.s-1]": 2.305e-05, "Minimum stoichiometry": 0.42424, "Maximum stoichiometry": 0.96210, "Maximum concentration [mol.m-3]": 46200, "Diffusivity activation energy [J.mol-1]": 15000, "Reaction rate constant activation energy [J.mol-1]": 35000 } }, "Validation": { "C/20 discharge": { "Time [s]": [0, 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000, 20000, 21000, 22000, 23000, 24000, 25000, 26000, 27000, 28000, 29000, 30000, 31000, 32000, 33000, 34000, 35000, 36000, 37000, 38000, 39000, 40000, 41000, 42000, 43000, 44000, 45000, 46000, 47000, 48000, 49000, 50000, 51000, 52000, 53000, 54000, 55000, 56000, 57000, 58000, 59000, 60000, 61000, 62000, 63000, 64000, 65000, 66000, 67000, 68000, 69000, 70000, 71000, 72000, 73000, 74000, 75000], "Current [A]": [-0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625, -0.625], "Voltage [V]": [4.19367569, 4.1677888, 4.14976386, 4.13250593, 4.11582327, 4.09952412, 4.08360848, 4.06788459, 4.05254422, 4.03720384, 4.02186346, 4.00690659, 3.99194973, 3.97699286, 3.96222774, 3.94727088, 3.93250576, 3.9173572, 3.90240027, 3.8874434, 3.87191127, 3.85637914, 3.8404635, 3.82493136, 3.80978274, 3.79482587, 3.78082778, 3.76740495, 3.75455738, 3.74286035, 3.73173857, 3.72176733, 3.71237135, 3.70393414, 3.69607219, 3.68859376, 3.68169059, 3.67517093, 3.66922653, 3.66309038, 3.65752958, 3.65235212, 3.64717474, 3.64257263, 3.637587, 3.63298489, 3.62819102, 3.62339716, 3.61879504, 3.61380942, 3.6088238, 3.60345467, 3.59770202, 3.59175763, 3.58542972, 3.57891014, 3.57200689, 3.56472021, 3.55685827, 3.54822931, 3.53864157, 3.52828682, 3.5173568, 3.5071938, 3.49894834, 3.49204517, 3.48590902, 3.47938936, 3.47152742, 3.4605974, 3.44218895, 3.39981122, 3.33749094, 3.25407757, 3.13308034, 2.89472934], "Temperature [K]": [298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15] }, "1C discharge": { "Time [s]": [0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700], "Current [A]": [-12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5, -12.5], "Voltage [V]": [4.1936757, 4.0487091, 4.0107418, 3.9762259, 3.9426688, 3.9094952, 3.8763218, 3.8433398, 3.8113168, 3.7802525, 3.7505305, 3.7221509, 3.695497, 3.6703771, 3.6467912, 3.6247394, 3.6042217, 3.5858132, 3.5685555, 3.5532149, 3.5382581, 3.5238765, 3.5102619, 3.4974143, 3.4849502, 3.4728697, 3.4609809, 3.4485169, 3.4352858, 3.4216712, 3.4070979, 3.3907987, 3.3720067, 3.3474621, 3.3121793, 3.2569541, 3.1589672, 2.9047014], "Temperature [K]": [298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15, 298.15] } } }