After more than 30 hours, the rendering stopped at around 35%, the monitor changing to a blue screen with the text "physical memory dumped" (that's what I remember) then the computer shut down. I know the model is composed of A HUGE amount of trans pieces, but I was ready to be patient even if it took days for this to finish, though guess I reached the limit of my computer's capabilities (Intel Core i3-2310M CPU @ 2.10GHz, 2.00GB RAM, 64-bit OS) so the computer just "gave up". [Default LDD2PovRay settings (no changes), 512x384 No AA, 1366 x 768 image resolution]
It's a pitty, but you still can restart the rendering. If you used the ini file add line with Continue_Trace=On to the ini file. If you did not used ini file, put +c into the text box which is next to the resolution dropdown list in POV-Ray GUI. POV-Ray will continue from the momement when it was aborted.
I had similar problems, without blue screen, but with sudden shutdowns, due to processor overheating during hot days. I used power management to reduce the maximum frequency of the processor.