Mathematical Tools and Design Techniques for Controlling the Frequency Response of MicroGrids

Dear Colleagues,

Mathematics has always been the foundation of all engineering applications. This is especially true in complex applications such as those involving Power Grids.

Electricity production, transmission, and distribution are based on many physical phenomena that are intrinsically nonlinear, mixing different time scales and involving several oscillatory—even chaotic—behaviors. In particular, the rising trend of replacing fossil fuels with renewable energy sources has led to the development of new technology and different arrangements of grid-connected MicroGrids and isolated power systems. MicroGrids consist of clusters of loads, distributed generators, and energy storage systems. Grid-connected MicroGrids are connected to a large power network through power electronic interfaces. Their ability to operate in islanded mode leads to an increase in the resiliency and reliability of distribution systems. Unfortunately, unlike synchronous generators, power electronic converters do not exhibit intrinsic inertia and damping characteristics.

The aim of this Special Issue is to present original papers exploring the possibility of mimicking a synchronous generator’s behavior and thus fixing the resulting inertia-degradation issue that constitutes one of the main challenges for future power systems. Fostering cross-breeding between Mathematics and all the other different disciplines involved in the analysis and control of Power Grids will generate brand new theoretical results in the field while bringing the fundamental problems hidden behind the considered application to the mathematical community. It is our strong belief that both communities will benefit from these exchanges, with the results presented in this collection being of great importance for theorists and practitioners in both academia and industry.

Research papers, communications, and review articles from different mathematical and engineering fields relying on the multidisciplinary approach that is typical of complex systems and focusing on the following subtopics are welcome:

✓ Mathematical models and stability analysis.

✓ Analytical tools for complex interactions.

✓ Analytical tools for oscillatory and chaotic behaviors.

✓ Linear and nonlinear control design.

✓ System identification.

Dr. Cristiano Maria Verrelli
Dr. Gilney Damm
Guest Editors

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• AC microGrid
• frequency control
• distributed control
• virtual synchronous generator
• adaptive inertia
• adaptive damping