this post was submitted on 09 May 2024
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[–] [email protected] 2 points 3 months ago (1 children)

Here you go, you'll need numpy, scipy and matplotlib:

from scipy.optimize import curve_fit
from matplotlib import pyplot as plt

# 2010-2013 data from https://ourworldindata.org/renewable-energy [TWh]
y = np.array([32, 63, 97, 132, 198, 256, 328, 445, 575, 659, 853, 1055, 1323, 1629])
x = np.arange(0, len(y))

# function we expect the data to fit
fit_func = lambda x, a, b, c: a * np.exp2(b * x ) + c
popt, _ = curve_fit(fit_func, x, y, maxfev=5000)

fig, ax = plt.subplots()
ax.scatter(x + 2010, y, label="Data", color="b", linestyle=":")
ax.plot(x + 2010, fit_func(x, *popt), color="r", linewidth=3.0, linestyle="-", label='best fit curve: $y={0:.3f} * 2^{{{1:.3f}x}} + {2:.3f}$'.format(*popt))
plt.legend()
plt.show()

Here's what I get, global solar energy generated doubles every ~3.5 (1/0.284) years.

[–] [email protected] 1 points 3 months ago (1 children)

Thank you! That does look like a great fit.

So that's just solar, then? Long term, it does seem like the one that's the biggest deal, but right now there's also a lot of wind and hydro in the mix, so that's another point in favour of the assumptions here being conservative.

[–] [email protected] 2 points 3 months ago

Yes, just solar. Hydro is bigger now, but it doesn't have the growing potential. Wind is currently also growing exponential, but I don't see it doing that for 20 more years. And even if it does, it doesn't really make a big difference since exponential + exponential is still exponential. If it grows as fast as solar that would mean we're just a few years ahead of the curve.