Historically, synchronous generators have dominated the electrical grid, and by providing significant inertia, they could easily stabilize the grid. However, nowadays, due to the implementation of renewable energies, synchronous generators are being replaced by static converters with very low inertia, which can lead to complications in maintaining a stable grid with consistent voltage and frequency. This work aims to analyze the stability of microgrids, specifically in alternating current, through the development of a Simulink model that allows simulating the behavior of the grid. Additionally, it aims to study the stability of microgrids based on different parameters that may affect stability. In the work, a simulation model is developed from the theory, allowing us to obtain the behavior of the two types of inverters analyzed in this work: grid-forming inverters and grid-following inverters. Due to the complexity of the system, in order to simplify the calculations, a simplification is made by eliminating nearby poles and zeros, allowing for a lower order in the transfer functions. It has been validated that the simplification error is negligible by comparing the behavior of the simplified system with the original model. Finally, the case study and stability analysis are presented. First, the theoretical model is developed, allowing us to obtain the transfer function of the system for the connection of grid-following and grid-forming inverters with each other. Once the transfer function is obtained, the methods of poles and zeros, Bode, and Nyquist are used to analyze the stability of the system in the case of two grid-forming inverters connected to each other and two grid-following inverters connected to each other. On one hand, the stability of the system is verified, and the reliability of the methodology developed during the project to analyze the stability of a system with the presence of power electronics is validated. It is also concluded that high inductances in the grid cause the system to oscillate and may lead to grid instability
