Phase-locked loop technology based on a frequency adaptive second-order generalized integrator (SOGI) is often combined with a sliding mode observer (SMO) because of its good filtering performance to solve the problems of DC offset, frequency deviation, and phase jump of power grid voltage. For conventional frequency-adaptive SOGI phase-locked loop (PLL), there is frequency coupling between the front-end SOGI block and the back-end PLL block, resulting in poor dynamic performance of the PLL. The proposed method uses frequency-fixed SOGI instead of frequency-adaptive SOGI, eliminating the frequency coupling between the front-end SOGI block and the back-end PLL block. At the same time, a method for cross-compensation of grid voltage is designed. This can accurately compensate for both the phase and amplitude of grid voltage simultaneously, improving the disadvantage of traditional compensation methods that require separate compensation for amplitude and phase. The conventional frequency-adaptive SOGI based PLL and the small-signal model of the proposed frequency-fixed SOGI based PLL is derived in detail, and comparative analysis proves that the proposed PLL is more stable. Finally, the effectiveness of the proposed method is verified through comparative experimental research in different grid voltage conditions.