I am not going to be much help for you but.....
Download the BMW service manual that is offered at the begining of this forum, (E36).
Page 640-14, figure 39 shows a picture, (yup, it's pretty poor quality) of a compressor and it seems to show one each wire to the clutch.
Page ELE-129 is the beginning of wiring schematics concerning the A/C system.
I did not spend a lot of time looking for you but it does look like you may have only one wire going to the clutch.
If you wish you may be able to correctly ascertain what you have by further study of the system using this service manual.
Otherwise I can only symphathize, sorry.