My Dell Inspiron 8200 runs on 20V, 4.5A. Is there any way of making the input not overloading? You talk about batteries. But what kind of batteries would work for me?
I'd see if Dell sells a companion car adapter for the laptop. If they do, I'd just get that. It will be a switching regulator optimized for charging and running the laptop from a lead-acid system, with voltages running from 11.75 (max discharge) to 13.5 with big spikes (charging from a car alternator, with lots of crud like switching the air conditioner clutch).
Then I'd run it off a 12v deep-cycle battery or bank of them, charged by my solar/hydro/wind/whatever plant - or from a portable small-panel (plus a jell-cell or NiCad bank to limit and regulate the voltage, and prevent dips when a shadow falls on the panel).
This reduces the problem to a combination of two smaller problems, each of which has well-known heavily-debugged solutions. And it won't void your warranty.