For the static eccentricity fault of the doubly salient electromagnetic generator, firstly, the equivalent analytical model of the air gap length of the generator is carried out. The theoretically relationships between the degree of static eccentricity and important characteristics such as magnetic flux linkage, electromagnetic torque, and air-gap magnetic density are derived. And then, a 2D finite element model of a 12/8 three-phase electrically excited salient-pole synchronous generator is established using Ansys finite element analysis, and the theoretical analysis results of electromagnetic signals are verified. Finally, the radial vibration signals of the generator are simulated through the coupled electromagnetic, modal, and harmonic response analysis modules in Workbench. The research findings show that the simulation results are basically consistent with the theoretical analysis, confirming that the eccentricity ratio in static eccentricity faults has a certain impact on the performance of the electrically excited salient-pole synchronous generator, thus providing a theoretical foundation for subsequent diagnoses of its static eccentricity faults.