Microgrids (MGs) are cataloged as Low-Voltage (LV) distribution networks which comprise distributed generators (DGs), energy storage devices and controllable loads that can operate in grid connected and islanded mode. The objective of this thesis is to introduce an alternative MG modeling technique, different from known modeling methods, which may allow us to obtain new control algorithms applicable to MGs. This modeling technique based on complex power will be validated according to the results obtained with the simulations of the model based on the Modified Nodal Analysis (MNA) method that is based on currents and voltages. To show this modeling technique, we will consider an MG composed by two three-phase inverters feeding a resistive load (MG-2Inv-3f-RL) in islanded mode. We will demonstrate that the modeling technique is correct and feasible by implementing the MNA-based method and the complex-based method. We will check the complexity that the MNA-based modeling method acquires. To achieve our goal, we will review the concepts of the MNA-based model- ing method applied to a basic electrical circuit. We will use the Symbolic Circuit Analysis in Matlab (SCAM) tool based on MNA, to automate the modeling technique of a MG. We will perform the open-loop analysis and simulation of the MNA-based MG model and the complex-based MG model. Finally, after analyzing the stability of the complex-based model, we will proceed to perform the closed-loop analysis and simulation implementing the droop control strategy in the MNA-based model and the complex-based model. Hence, we will verify the validity of the alternative complex-based MG modeling technique.