510 lines
326 KiB
Plaintext
510 lines
326 KiB
Plaintext
{
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"cells": [
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Battery life model library\n",
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"Example notebook demonstrating how to use the battery life models in Python.\n",
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"\n",
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"First examples use the Kokam NMC111|Gr 75Ah battery life model. The battery modeled here is a high-power cell with long cycle life. Because nominal cell resistance is low, the relative change of resistance at end-of-life is quite high compared to other cell designs (~300% increase in cell resistance at 80% capacity if not more). Fade rates can be changed in the code to accomodate other cell models. Documentation is provided in the life model class. See https://ieeexplore.ieee.org/abstract/document/7963578 for the aging test details and results used to parameterize this model."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from nmc111_gr_Kokam75Ah_2017 import Nmc111_Gr_Kokam75Ah_Battery"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"To run, the life model needs timeseries data: the time in seconds since beginning-of-life of the battery, the state-of-charge of the battery (0 to 1), and the ambient temperature (or battery temperature, if you have a thermal model)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"years = 10\n",
|
|
"hours = years * 365 * 24\n",
|
|
"t_hours = np.arange(hours + 1)\n",
|
|
"soc = np.tile(\n",
|
|
" np.array(\n",
|
|
" [1, 1, 1, 1, 1, 1,\n",
|
|
" 0.4, 0.4, 0.6, 0.6, 1, 1,\n",
|
|
" 0.9, 0.8, 0.7, 0.6, 0.5, 0.4,\n",
|
|
" 0.3, 0.2, 0.2, 0.4, 0.6, 0.8]\n",
|
|
" ),\n",
|
|
" int(len(t_hours/24))\n",
|
|
")\n",
|
|
"soc = np.append(soc, 1)\n",
|
|
"\n",
|
|
"TdegC = (\n",
|
|
" np.tile(np.concatenate([np.linspace(25, 35, 12), np.linspace(35, 25, 12)]),\n",
|
|
" int(len(t_hours)/24))\n",
|
|
" + np.tile(np.concatenate([np.linspace(-5, 5, 24*182), np.linspace(5, -5, 24*183)]),\n",
|
|
" int(len(t_hours)/(24*365)))\n",
|
|
")\n",
|
|
"TdegC = np.append(TdegC, 20)\n",
|
|
"\n",
|
|
"t_secs = t_hours * 3600\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax1.plot(t_hours[:25], soc[:25], '-k')\n",
|
|
"ax1.set_xlabel('Time (hours)')\n",
|
|
"ax1.set_ylabel('State-of-charge')\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax2.plot(t_hours[:25], TdegC[:25], '-r')\n",
|
|
"ax2.tick_params(axis='y', labelcolor='r')\n",
|
|
"ax2.set_ylabel('Temperature (Celsius)', color='r')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(t_hours/(24*365), TdegC)\n",
|
|
"plt.xlabel('Time (years)')\n",
|
|
"plt.ylabel('Temperature (Celsius)')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Instantiate the battery model."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"cell = Nmc111_Gr_Kokam75Ah_Battery()"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"All battery models have five properties. The first is `_cap`, which is the nominal discharge capacity of the cell in Amp hours."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"75"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"cell._cap"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The next four track battery lifetime values, and store the history of the battery as lifetime is simulated at each timestep/iteration:\n",
|
|
"- `states`: internal states of the battery model\n",
|
|
" - Ex., time-dependent capacity loss\n",
|
|
"- `outputs`: battery properties calculated from states\n",
|
|
" - Ex., relative discharge capacity\n",
|
|
"- `stressors`: values of stressors used by the model\n",
|
|
" - Ex., temperature, depth-of-discharge, charge-throughput\n",
|
|
" - Note that degradation rates are calculate from stressor timeseries, and then normalized for the timestep; for example, an Arrhenius expression would be evaluated from the temperature timeseries for the entire timestep, and then normalized by taking the time-based average - this gives a different value than if the Arrhenius expression was evaluated on the averager temperature. Other normalizations can include using the minimum or maximum value over the timestep, or using the root-mean-square.\n",
|
|
"- `rates`: values of degradation rates\n",
|
|
" - Ex., time-dependent degradation rate due to temperature and state-of-charge\n",
|
|
"\n",
|
|
"Battery models may have other properties, such as the open-circuit voltage as a function of state-of-charge, nominal DC resistance values, or first-life/second-life capacity definitions.\n",
|
|
"\n",
|
|
"This specific battery model is relatively complex, and has many states and outputs that describe the degradation state of the battery. Properties `states`, `outputs`, `stressors`, and `rates` are all stored in dicts:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'q': array([1]),\n",
|
|
" 'q_LLI': array([1]),\n",
|
|
" 'q_LLI_t': array([1]),\n",
|
|
" 'q_LLI_EFC': array([1]),\n",
|
|
" 'q_LAM': array([1.01]),\n",
|
|
" 'r': array([1]),\n",
|
|
" 'r_LLI': array([1]),\n",
|
|
" 'r_LLI_t': array([1]),\n",
|
|
" 'r_LLI_EFC': array([1]),\n",
|
|
" 'r_LAM': array([1])}"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"cell.outputs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Output descriptions are in the class definition, replicated here:\n",
|
|
"- q: relative capacity\n",
|
|
"- q_LLI: relative lithium inventory\n",
|
|
"- q_LLI_t: relative lithium inventory, time dependent loss\n",
|
|
"- q_LLI_EFC: relative lithium inventory, charge-throughput dependent loss\n",
|
|
"- q_LAM: relative active material, charge-throughput dependent loss\n",
|
|
"- r: relative resistance\n",
|
|
"- r_LLI: relative SEI resistance\n",
|
|
"- r_LLI_t: relative SEI resistance, time dependent growth\n",
|
|
"- r_LLI_EFC: relative SEI resistance, charge-throughput dependent growth\n",
|
|
"- r_LAM: relative electrode resistance, q_LAM dependent growth"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Accesing one output/state/rate/stressor is simple:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([1])"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"cell.outputs['q']"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The battery model should be run in timesteps relavent to battery degradation, such as once per day. Larger or smaller timesteps could be used if desired, but timesteps should avoid splitting up cycles, or at least be long enough that miscounting cycles due to splitting them up does not introduce much error.\n",
|
|
"\n",
|
|
"Each battery model tracks the history of it's inputs (`stressors`), calculated degradation rates (`rates`), internal states (`states`), and outputs (`outputs`) each time `update_battery_state` is called. Debugging models is easier because the values of all inputs, internal calculations, and outputs are tracked."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"t_days = np.arange(years*365)\n",
|
|
"for day in t_days:\n",
|
|
" hour_start = day*24\n",
|
|
" hour_end = (day+1)*24 + 1\n",
|
|
" # Update battery state\n",
|
|
" cell.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['q'])\n",
|
|
"plt.xlabel('Time (years)')\n",
|
|
"plt.ylabel('Relative discharge capacity')\n",
|
|
"plt.ylim((0.7, 1.02))\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The cell resistance and capacity trajectories are wiggily because the temperature of the battery is varying throughout each year, varying the degradation rate. Dispatch is the same each day, so that is constant.\n",
|
|
"\n",
|
|
"The model keeps track of how much charge-throughput has occured throughout life, as well, based on the input state-of-charge timeseries. Conversion from charge-throughput, in Amp-hours, to changes of cell state-of-charge, which is dependent on battery performance (health, temperature and SOC dependent resistances), is assumed to happen externally to the model. This simple simulation is essentially assuming that the current magnitude is continuously being adjusted based on the the state-of-health of the battery."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(cell.stressors['efc'], cell.outputs['q'])\n",
|
|
"plt.xlabel('Equivalent full cycles')\n",
|
|
"plt.ylabel('Relative discharge capacity')\n",
|
|
"plt.ylim((0.7, 1.02))\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"This dispatch has a little more than 1 EFC per day.\n",
|
|
"\n",
|
|
"We can plot the separate contributions to capacity or resistance fade, as well."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(0.7, 1.02)"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['q_LLI'])\n",
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['q_LAM'])\n",
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['q'], '--k')\n",
|
|
"plt.xlabel('Time (years)')\n",
|
|
"plt.ylabel('Relative discharge capacity')\n",
|
|
"plt.legend([r'q$_{LLI}$', r'q$_{LAM}$', 'q'])\n",
|
|
"plt.ylim((0.7, 1.02))"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"From the result, the cell will experience sudden failure very shortly; considering this is near 70% remaining capacity, this is physically reasonable."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['r_LLI'])\n",
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['r_LAM'])\n",
|
|
"plt.plot(cell.stressors['t_days']/365, cell.outputs['r'], '--k')\n",
|
|
"plt.xlabel('Time (years)')\n",
|
|
"plt.ylabel('Relative DC resistance')\n",
|
|
"plt.legend([r'r$_{LLI}$', r'r$_{LAM}$', 'r'])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Repeat with other battery life models."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from lfp_gr_SonyMurata3Ah_2018 import Lfp_Gr_SonyMurata3Ah_Battery\n",
|
|
"from nmc111_gr_Sanyo2Ah_2014 import Nmc111_Gr_Sanyo2Ah_Battery\n",
|
|
"from nmc811_grSi_LGMJ1_4Ah_2020 import Nmc811_GrSi_LGMJ1_4Ah_Battery\n",
|
|
"from nca_gr_Panasonic3Ah_2018 import Nca_Gr_Panasonic3Ah_Battery\n",
|
|
"from nmc_lto_10Ah_2020 import Nmc_Lto_10Ah_Battery\n",
|
|
"from lmo_gr_NissanLeaf66Ah_2ndLife_2020 import Lmo_Gr_NissanLeaf66Ah_2ndLife_Battery\n",
|
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"\n",
|
|
"cell_nmc_kokam = Nmc111_Gr_Kokam75Ah_Battery()\n",
|
|
"cell_lfp = Lfp_Gr_SonyMurata3Ah_Battery()\n",
|
|
"cell_nmc_sanyo = Nmc111_Gr_Sanyo2Ah_Battery()\n",
|
|
"cell_nmc811_grSi = Nmc811_GrSi_LGMJ1_4Ah_Battery()\n",
|
|
"cell_nca = Nca_Gr_Panasonic3Ah_Battery()\n",
|
|
"cell_nmc_lto = Nmc_Lto_10Ah_Battery()\n",
|
|
"cell_lmo = Lmo_Gr_NissanLeaf66Ah_2ndLife_Battery()\n",
|
|
"\n",
|
|
"for day in t_days:\n",
|
|
" hour_start = day*24\n",
|
|
" hour_end = (day+1)*24 + 1\n",
|
|
" # NMC Kokam\n",
|
|
" cell_nmc_kokam.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # LFP\n",
|
|
" cell_lfp.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # NMC Sanyo\n",
|
|
" cell_nmc_sanyo.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # LG MJ1 NMC811 GrSi\n",
|
|
" cell_nmc811_grSi.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # NCA Panasonic\n",
|
|
" cell_nca.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # NMC LTO\n",
|
|
" cell_nmc_lto.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
" # LMO Nissan Leaf\n",
|
|
" cell_lmo.update_battery_state(t_secs=t_secs[hour_start:hour_end], soc=soc[hour_start:hour_end], T_celsius=TdegC[hour_start:hour_end])\n",
|
|
"\n",
|
|
"plt.plot(cell_nmc_kokam.stressors['t_days']/365, cell_nmc_kokam.outputs['q'])\n",
|
|
"plt.plot(cell_lfp.stressors['t_days']/365, cell_lfp.outputs['q'])\n",
|
|
"plt.plot(cell_nmc_sanyo.stressors['t_days']/365, cell_nmc_sanyo.outputs['q'])\n",
|
|
"plt.plot(cell_nmc811_grSi.stressors['t_days']/365, cell_nmc811_grSi.outputs['q'])\n",
|
|
"plt.plot(cell_nca.stressors['t_days']/365, cell_nca.outputs['q'])\n",
|
|
"plt.plot(cell_nmc_lto.stressors['t_days']/365, cell_nmc_lto.outputs['q'])\n",
|
|
"plt.plot(cell_lmo.stressors['t_days']/365, cell_lmo.outputs['q'])\n",
|
|
"plt.xlabel('Time (years)')\n",
|
|
"plt.ylabel('Relative discharge capacity')\n",
|
|
"plt.legend(['NMC-Gr (Kokam)','LFP-Gr (Sony Murata)', 'NMC-Gr (Sanyo)', 'NMC811-GrSi (LG MJ1)', 'NCA-Gr (Panasonic)', 'NMC-LTO', 'LMO-Gr (2nd Life) (Leaf)'])\n",
|
|
"plt.ylim((0.7, 1.02))\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
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|
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|
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|
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|
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|
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|
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|
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|
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