All calculations we have done so far using those (and related) formulas refer to a steady state condition, or at least an assumed steady state condition. (i.e. they will hold for a warming up lamp too, as long as you use voltage and current measurements made at the same moment)
All processes which are slow (ie. temperature related, as well as any feedback loops going through temperature) are not covered by those calculations, but the opposite is also true : The calculations do hold for any momentary condition, regardless of the long term trends
In steady state, the characteristics of any electrical circuit, which only passes sinewave voltages and currents, can be calculated by linear equations (e.g. Ohms law, vector sum of voltages, etc). When our voltage is not a sinewave, the first thing we can do is disregard this and keep assuming it is sinewave, which is often close enough (and the differences can be packed into empirical factors, such as the lamp power factor)
CWA is not that much different, but there are 2 caveats :
The magnetic saturation mechanism changes the ballast impedance. I.e. we can calculate the impedance from measurements in the running circuit and it will be correct, but not useful because the impedance will be different if the same ballast is powered in another circuit / at different warm up state / etc
With an array of measurements, we can plot a dependence graph which will be correct and useful, even if we don't have the formula for it
CWA Voc is sometimes not sinewave, but sort of a sinewave with warped peaks. However, it is sinewave enough for many purposes, and is clamped to far different waveforms when a lamp is running anyway, and even with them we still use the same calculations....
Go test a bunch of lamps....
If you do accumulate such data, put it in a spreadsheet (e.g. Libreoffice Calc) and you will be able to make useful reference plots with it, interpolate it and more
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