Pretty straightforward, this one: Replace the JEN SX-1000‘s fixed power cable with an IEC socket. (Like weird German words? You’ll love this: In German, this thing is called a “Kaltgerätestecker”, more precisely, a “Kaltgeräte-Steckverbinderbuchse”, which translates to “Cold unit connector socket”. Don’t ask me.)
No problems here apart from cutting a hole for the socket; I used steel drills to mark the corners of the cutout and then cut the steel with my Dremel tool. Lots of metal dust but fast, and it did the job precisely.
A word on Jenny’s power supply: It’s extremely oldschool – a transformer and a diode bridge generating +/-18VDC, two 7812 regulators generating +12V and -12V, and another 7805 regulator generating the +5V supply rail from the 12V. If you would like your JEN to be a bit more eco-friendly I’d advise replacing those regulators by the 2931CT low-dropout type, but apart from that, there’s hardly any reason to look at the power supply – it’s rather solid and possibly not your primary concern if the synth does not work.