I'be been working on some Chinese (bit crappy) device, with own system, that had one wonderful (at least for me) feature. When constantly powered-up (plugged to power adapter) it could work without the battery inside.
Is there any Android-based phone or device that does the same? Or the only option here is to keep battery inside, keep it powered up all the time (I have some reasons for that) and replace battery quite often, since it will be charging and discharging it the same time (will it), thus lowering its life-span.