Typically there are two main control loops with PI controllers operating at each turbo-generator set. In this paper a distributed model predictive controller DMPC, with local QDMC controllers for the turbine generator, is proposed instead of a typical PI controllers. The local QDMC controllers utilize step-response models for the controlled system components. These models parameters are determined based on the proposed black-box models of the turbine and synchronous generator, which parameters are identified on-line with the RLS algorithm. It has been found that the proposed DMPC controller realize the reference trajectories of the effective power and the angular velocity, and damp generator voltage oscillations with satisfactory quality in comparison to the typical control structure with the PID controllers.