In this paper， an intelligent inversion optimization design method for generators running in the transmission chain system is proposed， and a 15 kW permanent magnet synchronous generator running in the transmission chain system is taken as an example to verify the method by optimizing the design parameters of it for increasing its operating efficiency. Firstly， under full consideration of the influence of the converter side on the transmission chain system， a co-simulation modeling platform for the transmission chain system is established， and the correctness of the electromagnetic design parameters of the transmission chain and the accuracy of co-simulation computing platform are verified.Secondly， six sensitive parameters are selected from the eight design parameters of the generator by variance analysis and a Latin hypercube sampling scheme based on genetic algorithm optimization is proposed after selecting the optimization variables.This sampling plan can balance the uniform distribution of the sample space and the uniformity of the projection of each variable dimension.Then， through the intelligent inversion optimization design model based on the Gaussian stochastic process combined with the PESA-Ⅱ multi-objective optimization algorithm， the Pareto frontier of generator efficiency and maximum rated output torque is obtained， and winding design according to the optimized cogging variable is carried out.The results show that the optimized efficiency is 96.2%， which is increased by 0.6% compared with its original design， and the electromagnetic loss of the generator is reduced by 16.8%. Finally， the accuracy of the simulation platform is verified by experiments， which further illustrates the effectiveness of the sample data and the optimal design.The design method proposed in this paper can be optimized for large-scale transmission chain systems of different specifications. The optimization method has certain universality and can be used for integrating accurate simulation calculation and process optimization design of large-scale offshore transmission chain systems in our country.