# Posted in 2021

## T_cell_typ_avg

This is a short note that derives the “typical average cell temperature” used in the “Weather-Corrected Performance Ratio”. The Weather-Corrected Performance Ratio 1 is defined as:

The denominator is essentially the PVWatts DC model, except the reference cell temperature is not $$T_{\mathrm{STC}}$$ but rather a “typical/average” cell temperature. The report has this to say about that decision:

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## Floating Point Fun

Computers must represent real numbers with some finite precision (ignoring symbolic algebra packages), and sometimes that precision limit ends up causing problems that you might not expect. Here are a couple examples.

The function $$f(x) = \exp(x) - 1$$ is kind of fun – by subtracting one from the exponential, it removes the only constant term in the Maclaurin series of $$\exp(x)$$:

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