67 lines
1.3 KiB
Python
67 lines
1.3 KiB
Python
from matplotlib import pyplot as plot
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import numpy as np
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class Params:
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def __init__(self, alpha, beta):
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self.alpha = alpha
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self.beta = beta
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def bas(soc: float):
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return 0.05, 25
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def model_r(temperature: float, soc: float, p: Params):
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rb, tb = bas(soc)
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tb = 25
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tb2 = tb*tb
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_t = temperature
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t2 = temperature*temperature
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return rb * np.exp(p.alpha*(t2 - tb2) + p.beta*(_t - tb))
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temps = [0, 5, 10, 20, 25, 40]
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pl = 10000
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il = 100
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ul = 100
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rl = ul/il
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p_ = np.linspace(0, 20000, 100)
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i_ = p_/ul
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bat_params = Params(alpha=0.0007545, beta=-0.07033)
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rt_ = []
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for t in temps:
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rt_.append(model_r(t, 100, bat_params))
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plot.figure()
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plot.plot(temps, rt_)
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r, t = bas(100)
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plot.title(f"Ri vs temperature (Base R={r}@{t}°C)")
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plot.xlabel("Temperature [°C]")
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plot.ylabel("R [Ohm]")
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plot.grid()
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titles = [
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"Battery power loss vs internal battery resistance (DCR)",
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"Batter power consumption vs internal battery resistance (DCR)"
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]
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for sp, name, title in zip([0, 1], ["P_loss [kW]", "P_batt [kW]"], titles):
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plot.figure()
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legs = []
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plot.grid()
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for temp in temps:
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ri = model_r(temp, 100, bat_params)
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pi_ = (ri * i_ * i_) + sp*p_
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x = p_/1000
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y = pi_/1000
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legs.append(f"temp={temp} °C")
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plot.plot(x, y)
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plot.xlabel("P_demand [kW]")
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plot.title(title)
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plot.legend(legs)
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plot.ylabel(name)
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plot.show()
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