Fraktal wrote:...0.43P*0.7*416.66 = 140*P seconds.
I think there's a small mistake here. I get 125.4P
Which I guess is how you got to 158.6s:
Fraktal wrote:This is mirrored for the evening, so accumulators are actually being used for 158.6s
and you lost me here:
Fraktal wrote:though they are at full power for only 52s during the night.
The only time accumulators provide P
is for the entire duration of night, which is 41.66 seconds, no?
I'd just do the following math:
night = 41.66
dawn, dusk = 83.33
How long into dusk do solar panels provide 100% or more of P: 83.33 - 83.33/1.43 = 25s
(= the point at which accumulators start to provide power)
Duration of part of dusk where accumulators provide some power, ramping up to 100% of P: 83.33 - 25 = 58.33s
Divide by two since they linearly ramp from zero to 1
Multiply by two since they also do this at dawn.
=58.33 * 2 / 2
So accumulators need to provide P
for 41.66+58.33 = 100s
Which if we plug in to your formula is 100 * P
/ (5 MJ) = 100 * P
/ (5 MW) = 20P
My current solar-accumulator layout is 6 panels per 4 accumulators which I've found to be slightly solar panel heavy, but not excessively so. That's why I investigated your numbers to start with - it seemed too far off the ratio I had been using in game. My solar-accumulator layout happens to be easy to implement prior to logistics bots and with just medium poles, but that's beside the point. Looks like I could be aiming for closer to 1.2:1 if I want to minimize the number of solar panels...
... Interestingly if you have more solar panels than this ratio requires you actually require fewer accumulators since they will kick in later during dusk and stop providing power earlier in dawn.