Large Scale Central

Wiring an LGB switch

First, thanks for this new site. I am lost without LSOL as I am pretty new to the hobby.

I have a limited budget so my outdoor layout has only 1 16000 LGB switch on it with a vision for no more than 2 more. Therefore I do not wish to purchase the LGB control box. I have a 16VAC supply but need to know how to create the 1/2 wave AC curcuit the LGB switch motor is looking for. HELP please.