Advanced Hierarchical Control and Stability Analysis of DC Microgrids

The book introduces a rigorous method of computing the networks admittance matrix and developing a unified control structure at the primary control layer to maintain droop-based approaches and ensure current- and voltage-limiting properties. It also proposes a distributed secondary controller using a diffusive coupling communication network to achieve voltage restoration and improve power sharing. The author analytically proves closed-loop system stability using two-time scale approaches and singular perturbation theory, providing straightforward conditions for system and control design.

Format: Paperback / softback
Length: 172 pages
Publication date: 22 February 2023
Publisher: Springer Nature Switzerland AG

This book makes several groundbreaking contributions to the existing literature. Firstly, recognizing the significance of microgrid topologies in theoretical analysis, the author has devised a rigorous method for computing the networks admittance matrix, facilitating stability analysis of DC microgrids supplying nonlinear loads. This innovative approach allows for the factorization of the admittance matrix in a specific manner, enabling a thorough theoretical analysis to derive stability conditions.

Secondly, the author proposes a unified control structure at the primary control layer, combining droop-based approaches with inherent current- and voltage-limiting properties, providing robust protection for distributed energy resources. The control design proofs are formalized using Lyapunov methods and nonlinear ultimate boundedness theory, catering to both parallel and meshed microgrid configurations. Additionally, a distributed secondary controller is developed using a diffusive coupling communication network, layered on top of the primary control, to achieve voltage restoration and enhance power sharing. Thus, the author has formulated a comprehensive hierarchical control scheme.

In this complex nonlinear context, the author achieves analytical proof of closed-loop system stability for the overall system, employing two-time scale approaches and singular perturbation theory. By formulating rigorous theorems that offer straightforward conditions for system and control design, the author demonstrates system stability at the desired equilibrium point. Furthermore, a simple algorithm is provided for testing system stability, and the concept is explored graphically to provide a visual understanding.

These groundbreaking contributions significantly advance our understanding and application of microgrids, paving the way for more efficient, reliable, and sustainable energy systems.

Weight: 308g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030954178
Edition number: 1st ed. 2022