A Pure Integral-Type PLL with a Damping Branch to Enhance the Stability of Grid-Tied Inverter under Weak Grids

In a phase-locked loop (PLL) synchronized inverter, due to the strong nonlinear coupling between the PLL's parame-ters and the operation power angle, the equivalent damping coefficient will quickly deteriorate while the power angle is close to 90{\deg} under an ultra-weak grid, which causes the synchronous instability. To address this issue, in this letter, a pure integral-type phase-locked loop (IPLL) with a damping branch is proposed to replace the traditional PI-type PLL. The equivalent damping coefficient of an IPLL-synchronized inverter is decoupled with the steady-state power angle. As a result, the IPLL-synchronized inverter can stably operate under an ultra-weak grid when the equilibrium point exists. Finally, time-domain simulation results verify the effectiveness and correctness of the proposed IPLL.