Decentralized control strategies are popular candidates in microgrids control because of their reliability and performance. Conventionally, droop control (as a main decentralized strategy) is been utilized in order to prevent permanent droop of voltage and frequency after change in loads and also to share generated power between distributed generation units. In this paper, a new droop control s...

The stability analysis of islanded inverter-based microgrids (IBMGs) is increasingly an important and challenging topic due to the nonlinearity of IBMGs. In this paper, a new linear model for such microgrids as well as an iterative method to correct the linear model is proposed. Using the linear model makes it easy to analyze the eigenvalues and stability of IBMGs due to the fact that it derive...

This chapter studies the problem of frequency regulation and active power sharing in inverter-based microgrids with time-varying voltages. Building upon the result in the previous chapter, we propose the design of internal-model-based controllers and analyze it within an (incrementally) passivity framework. A small case study indicates the effectiveness of the proposed solution. 3.1 A microgrid...

Game theory is a branch of applied mathematics that is, most notably, used in economics as well as in engineering and other disciplines. Game theory attempts to mathematically capture behaviour in strategic situations, in which an individual’s success in making choices depends on the choices of others. The microgrid encompasses a portion of an electric power distribution system that is located ...

The recent changes in the structure of power generation towards a distributed generation have motivated the increasing interest in the control of so-called microgrids. Microgrids typically consist of an AC electrical network connecting a set of loads and droop-controlled inverters. While the decentralized and proportional primary droop-control ensures the stabilization and the synchronization o...