I have a feeling that you are right about the sine wave, though I have no idea what a sine wave is! We sailed around Mexico and then across the Pacific in a 2-year voyage, and I had no problem with the computer. It wasn't until we arrived in New Zealand. We did not want to put on a bulky, heavy-duty inverter to be able to use the 220 shore power. Instead we brought a 220 line onto the boat where it feeds into the battery bank. The other thing we did was increase the size of the battery bank which should not have caused this problem. Unfortuntately, other than telling me to deep six my MBP, my husband is of little help. He has no patience with the Apple, prefering his ever-reliable PC's, and he really does have enough to contend with given all the other electronics we have on this boat. He just wired in a new AIS system and new chart plotters. I am trying to give myself a crash course on electricty, but so far, I have had 3 different electricians from 3 different companies here on the boat who have all shaken their heads in complete bafflement. Part of my problem, too, is that no one has an Apple around here -- at least none of the other cruisers.
The thing that is most confonding is that the Apple will charge, and always charges, when I bring it to land and connect to power there. Even though we now have the 220 line coming directly onto the boat, it will not charge when it is plugged into that. Same current, same everything - only difference we can come up with is the GFI-type switches that are put into the system before the line leaves land to go on down the dock to the boats.
I am heart-broken at this turn of events. Between my photography and my blog, which now has a following of people whom I do not even know, two of the things I enjoy most about our cruising are closed to me if I cannot get this computer to work when we are offshore. It sounds like you may also be a cruiser so I am sure you must know what I am talking about.
Apple gave me a new power adapter last year. No change. They also did a PRAM reboot, which I have tried myself to no avail. I also cannot imagine that anything we have on the boat regarding energy conversion, consumption or whatever is faulty. This is a 52' sailboat with all the high-end, high-powered electronics one would expect on a blue-water boat. Everything works just fine. The electicians are all amazed and pleased with the power we have on the boat. It just doesn't make sense that it is only this Apple that is so fussy about what current it will use or not use.
I think I am now going to have to see if I can find a web program like iWeb which will allow me to work on my web site when not connected to the internet. We can go 2 - 3 weeks without internet access, but my website will be ready to pubish the minute I do connect. If there is such a program out there, I will definitely look into switching everything to a PC. What a shame! I really do love my Apple, but not if it's so finicky.