UPS manufacturers have a prediction curve, which de-rates
battery capacity, for the rate of discharge. Visiting the
web site for the UPS product, can sometimes cough up that
graph.
The capacity is not a "conserved" quantity.
It goes like this.
Load You predict You get
100W 8 minutes 8 minutes
200W 4 minutes 3 minutes
400W 2 minutes 1.2 minutes
As you honk on the battery, more of the energy is lost
as heat inside the battery. You're talking 40 amp flows
from the battery. Notice that the UPS has bloody fat wires
on top to the battery. That means there's a serious DC current
flow at full UPS load. Those wires are kept short, because
among other things, that wire costs money. That wire, at
least the wire on mine, is the "very nice" kind. Not
RadioShack wire :-) (RadioShack refused to sell nickel
plated wire, so I hated them for that...)
*******
https://www.apcguard.com/Smart-UPS-Runtime-Chart.asp
Let's just take the top entry, and Half versus Full load.
Half 24 minutes 240W
Full 7 minutes 480W
You can see the battery doesn't like this. You can go down the
chart and take ratios of half versus full, and see whether the
behavior is a "manifest constant", or whether each unit is
different.
What you'd really want, is check for manifest constant behavior,
for units that use the *same* battery. You would hope in such
a case, the same ratio presents itself, at the same load values.
In any case, that page gives you at least something to plot up
and consider for your maths.
*******
UPS are rated in terms of Watts and VA. The difference between
these two units of measure, is the PF or power factor. This
is a measure of whether the voltage and current waveforms are
out of phase. Modern ATX supplies have Active Power Factor Correction
or PFC, which attempts to make the load PF=1 or resistive, the
best kind of resistive. The power company prefers we use
resistive loads, like an incandescent bulb is PF=1.
If you take all the electrical loads, put them on a power strip,
then plug the power strip into one of these, you can measure
W, VA, and PF, with the one instrument. One of these should
be about $40 or so. I have one monitoring my "pig" computer,
as a reminder of what a pig it is. It costs real money to run
the pig.
http://www.p3international.com/products/p4400.html
There is also a version of this, for other markets
with different plug. The design limit of 15 amps is
a function of the shunt inside, and the shunt won't
change between markets. But one meter expects 120V,
the other model expects 240V max. There's probably
a different scaling resistor used for volts. And a different
firmware for the processor in there (maths are done
in real time).
I don't know if any UPS website has worked examples of
W and VA, and what to do with the numbers. But it would
certainly help if they did.
Paul