According to what I've seen the 1979 had a TA340A-C201. See this link:
http://www.karlsvintagesleds.com/kawasaki1.htmlThat being said, I am not an expert. The parts list for the 1980 340 Drifter looks more like yours. The spark plug caps are different from 1979 to 1980. See attachment.
I use the 1980 parts list for searching for parts. They used Sno-Jet part numbers in the 1979 parts list and then Kawasaki part number in the 1980 parts list. I've found had more luck searching by the kawasaki part numbers. They used a lot of the same parts from 1979-1980 if you compare the two.
What is mfg date on the side of the tunnel? Remember, it's hard to know what the last guy did to it before you owned it.
In the picture of mine, someone added another voltage regulator and mounted it on there. I have since removed it.