The control of three-phase grid-tied converters needs the accuracy detection of the grid synchronization signal. The frequency-locked loop based on sinusoidal amplitude integrators (SAI-FLL) is a synchronization signal detection method with simple structure and good performance. Firstly, the paper analyzed the performance of SAI-FLL when the input signals contain (direct current) DC components. The results show that the input DC components generate a fundamental frequency ripple in positive sequence magnitude and frequency signal, and additional DC components in negative sequence magnitude. To eliminate DC components effect, this paper proposed a method which employs the frequency selective feature of sinusoidal amplitude integrator (SAI), regarding DC components as AC components of zero frequency, forming a unified SAI approach with simple control structures. The theoretical, simulation and experimental results indicate that the method can eliminate the DC components and has the property of separating the positive-sequence and negative-sequence components for grid voltage containing DC components under unbalance grid voltage and frequency variation condition. © 2014 Chin. Soc. for Elec. Eng.