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The principle of dual-energy x-ray grating phase-contrast imaging (DEPCI) is clarified by using the theory of x-ray interference and Fresnel diffraction.A new method of retrieving phase from the two interferograms is proposed for DEPCI,and its feasibility is verified via simulation.Finally,the proposed method applied to DEPCI experiment demonstrates the effectiveness of the method.This paper lays the theoretical foundation for performance optimization of DEPCI and the further integration of DEPCI and computed tomography.