portable power - recomendation for AC type battery pack with studio strobes

thanks for the advice...I did look at the invotronix...I want both the mini and the full power...but I think the mini first. But it is comparable to the Vagabond, which is cheaper, smaller, and also has the ability to pop in another battery into the pack when needed which is nice. From tests, it looks like the mini is a little bit faster recycle, but almost negligible.

I figured the duracel and home depot ones might not be usable, but was curious as to why not. I guess it does have to do with the sine quality of power.