The integration of renewable energy resources is a prevailing trend in modern power systems. Wind and solar energy are key among these renewables, linked to the grid via power electronic converters. These converters require precise synchronization of their output with the grid, achieved through a phase-locked loop (PLL). The PLL’s ability to accurately track the grid voltage phase directly impacts synchronization stability. Moreover, stability relies on the converter’s controller, loads, and grid stiffness. The inclusion of these cross-linked dynamics culminates in a complex analytical model. However, commonly used reduced-order models often omit load dynamics, limiting the obtained insights. Addressing these limitations, this paper introduces a comprehensive method to model a 3- phase grid-tied inverter with an SRF-PLL and local loads, utilizing dynamic phasors. The approach evaluates the impact of system parameters, especially load configuration, on synchronization stability via eigenvalue analysis of the linearized state-space model. This model is apt for investigating weak grids and islanded distributed generation (DG) with diverse local loads. The model showcases stability boundaries, aiding the design of robust renewable energy systems.