An Accurate Linearized model of Synchronous Reference Frame Phase-Locked Loop

Synchronous reference frame phase-locked loop (SRF-PLL) is a classical method to achieve grid synchronization in three-phase systems. And SRF-PLL has important influence on weak grids. Many linearized models have been addressed to describe PLLs. However, they have low dynamic accuracy in the case of frequency jump. To fill this gap, an accurate linearized model of SRF-PLL is proposed and the proposed model has good dynamic accuracy in cases of frequency jump and phase angle jump. In details, a nonlinear model of SRF-PLL is established. Then, a simplified model is obtained according to the accurate linearization technology. Compared with the traditional model of SRF-PLL, the proposed model has better dynamic accuracy, especially in the case of frequency jump.