Overview of SOGI-Based Single-Phase Phase-Locked Loops for Grid Synchronization Under Complex Grid Conditions

Synchronization is the key part to ensure the high performance of grid-connected systems. Phase-locked loop (PLL) is one of the most popular synchronizations due to its simple implementation and robustness under certain grid variations. Particularly, in single-phase applications, PLL based on second-order generalized integrator (SOGI-PLL) is widely used because of its simple structure, certain filtering ability and frequency adaptability. The sensitivity of SOGI-PLL to the dc offset and low-order harmonics has been studied a lot in the literature and many solutions have been proposed. However, as more and more power electronic devices are integrated into the power grid recently, the grid condition becomes more complex. As a result, the nonlinear loop coupling phenomenon of SOGI-PLL is more severe and obvious and thus the performance of SOGI-PLL is degraded a lot, especially under the conditions of grid frequency variations and weak grid. A popular method is to use the frequency-fixed SOGI-PLL (FFSOGI-PLL) while how to eliminate the estimation error under frequency variations remain an important task. Though some scattered methods have been proposed, a simple yet effective strategy is still missing. Besides, it has been shown that the system stability margin will be reduced due to the negative-resistance behavior of PLL. However, the models derived in the current documents cannot accurately reveal the instabilities caused by the standard SOGI-PLL for missing the dynamics of the frequency feedback loop. Moreover, the PLL parameters are usually designed according to the PLL bandwidth to guarantee system stability under a weak grid. How to optimize the parameters is still unclear. In view of this, this article further summarizes and reviews the existing achievements of single-phase SOGI-PLL, and points out the problems to be solved and the development direction to improve the SOGI-PLL under more complex and non-ideal grid conditions.