Based on the theory of dispersion characteristics of double-ring photoelectric oscillator and chirped grating, a broadband ultra-low phase noise spectral frequency shift system is constructed. Firstly, the mathematical model is discussed. Secondly, according to the frequency response of the photonic filter formed by the chirped grating interfering with the optoelectronic oscillation circuit, the simulation of the effect of grating dispersion on oscillation frequency is performed. The simulation results show that the oscillation frequency decreases with the increase of grating dispersion value. In the range of 350—4 000 ps/nm, the oscillation frequency varies from 5 GHz to 16.9 GHz, and the phase noise can reach ?140.5 dBc/Hz at 10 kHz, which realizes the generation of ultra-low phase noise spectral shift with broadband tuning.