Very confusing - Your spec sheet refers to "Cont output power" and "Peak " Power . Is Nominal = Continuous? So for a 5000VA MP2 can it provide 5000 *130% = 6500VA for 2 Minutes and 7500VA for 5 seconds and 10000VA ( or its it 9000VA ) for 30 cycles and 5000VA for 30 mins = all subject to ambient temp less than 25degC.
Sorry to say, it is also more confusing than that.
The overload limitations actually refer more to current than RMS power. So a flat battery at 11V will give even less, while a fully charged one at 15V will give even more.
Then if the AC load is some strange power factor, again it will change.
But then less if battery cables are not sufficient thickness, or the batteries slightly too small introducing DC ripple.
Then the altitude of installation.
And so on.
I am not trying to be flippant, or obscure the situation, but trying to pin it down to any one metric will always leave room for another variable in a complex power system.
Once as many of the variables are understood as possible, you can more or less take the data sheet figures at face value, and then also leave yourself a significant margin of safety.
For a helpful rule of thumb, the nameplate power rating that is least 80% of all the combined possible loads operating simultaneously is a good place to start.
It's right there on the datasheet, where it says "Peak Power (W)".
But that's not the Maximum current for even shorter periods, there is a webinar about overload somewhere, should be in writing also somewhere?
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