Non-member Yejie Tian, Non-member The problem of shafting torsional vibrations has been increasingly emerging due to the increasing capacity of turbo-generator and the complexity of power grid. Therefore, how to reduce the torsional vibration of the turbo-generator shaft and improve the stability of the power system has become the focus of our research. First, in order to solve the problem and alleviate the torsional vibrations of turbo-generator shafts, this paper proposed a new shafting structure model of Double-ended Driving and Dual-Excited Turbo-Generator set (DDDETG). A static excitation mode is used for the excitation of the DDDETG and the mechanical power is supplied symmetrically and synchronously from both ends of the generator rotor. Then, in order to improve the output characteristic of the generator and further suppress the torsional vibrations of the turbo-generator shafts, combined with the nonlinear control design method of partial feedback linearization, a Multi-Index Nonlinear Coordinated Control (MINCC) strategy for the double-ended driving and dual-excited turbo-generator is proposed to ensure good dynamic and static state performances of each state in the system. Finally, the simulation results on a single-machine infinite bus system demonstrate the effectiveness of the proposed control strategy. In addition, this paper compares the performance of DDDETG and the traditional Single-ended Drive and Single-Excited Turbo Generator (SDSETG), the simulation results show that the restraint effect of the DDDETG structure on shafting torsional vibrations is more obvious under the proposed control strategy.