When it “died” do you mean no lights no sound as if it didn’t have power? Lacie has had some power supply problems, which has caused all sorts of quirky symptoms. It is not that the power supply fails, but that they are under powered, which makes them look good on a volt meter but often not able to supply what the amperage a drive requires. This was especially prevalent with the 500s. If you have a 1T try a power supply (assuming the voltage is the same) for a 2T. This of course assumes that the problem is that your current supply has suffered heat damage and no longer can supply the required amperage.
jmf