An exemplary turbine system for generating hydroelectric power. The exemplary turbine system is generally installed in shallow waterways and accelerates water flowing therein. The accelerated water generates power via spinning one or more turbine rotors of the system. An exemplary method for installing the turbine system is disclosed. The method includes first lowering a turbine system base into the shallow waterway, where the base includes a depression for accepting a mortise insert. The mortise insert includes one or more sockets for accepting notches in a base plate, where the base plate is coupled to one or more turbine rotors. The base plate mates with the mortise insert for ease of installation and securely positioning the one or more turbine rotors within the system.