Hi Michel,
The model is a simple synchronous buck converter where I strapped on an I-type controller for low performance current regulation. I would have to guide you to the “Single-Phase Battery Charger” demo model found in the PLECS documentation for grid connected battery systems.
For your research I can suggest the books “Fundamentals of Power Electronics” written by Erickson / Maksimovic and the book “Grid Converters for Photovoltaic and Wind Power Systems”.
Cheers
Falk