In this paper, a grid-connected PV storage system with SDVSG is proposed with coordination control; an adaptive variable-step conductivity increment method is adopted to achieve the maximum power point tracking (MPPT) for PV array, and variable domain fuzzy logic control . . In this paper, a grid-connected PV storage system with SDVSG is proposed with coordination control; an adaptive variable-step conductivity increment method is adopted to achieve the maximum power point tracking (MPPT) for PV array, and variable domain fuzzy logic control . . Bidirectional energy storage inverters serve as crucial devices connecting distributed energy resources within microgrids to external large-scale power grids. Due to the disruptive impacts arising during the transition between grid-connected and islanded modes in bidirectional energy storage. . This paper presents a control system for Grid -Following and G rid-Following converters for a grid -connected MG. The aim is to achieve a seamless transition between the Microgrid and the main grid, appropriate load sharing between distributed energy sources, and an improvement of system stability.. Microgrid (MG), which combines renewable energy sources, energy storage devices, and loads, has lately gained attention as a sustainable energy alternative for mitigating climate change. MG may operate in grid-connected or islanded modes based on upstream grid circumstances. The energy management. . Self-adaptive virtual synchronous generator (SDVSG) controlled grid-connected inverters can provide virtual damping and inertia to support the frequency and voltage of the grid. Combining SDVSG control with stand-alone PV systems, a mainstream solution is to configure energy storage systems for.