power plants, but modern grids are transformed to decentralized structures. Robust synchronization (frequency locking) of power plants and consumers centrally underlies the stable operation of electric power grids. Therefore, it is important to understand the conditions enabling self-organized synchronization in oscillator networks that serve as coarse-scale models for power grids. Despite

current attempts to control large-scale networks, even their uncontrolled collective dynamics is not fully understood. To reveal essential aspects of the oscillatory dynamics of power grids and their nonlinear dynamics, consider coarse-scale

oscillator models of power grids. They are derived from the physics of synchronous generators (power plants) and motors (consumers). In such a model, the phase of generators/motors are described by the swing equations (see PDF).

Project description. In this project, you would investigate conditions for the dynamic stability of complete and spatially non-uniform synchronization modes in models of real-world power grid topologies.

Goals. The following questions could be addressed:

1. Effect of transmission delays.

2. Existence and stability of attractors with partial (spatially non-uniform) synchronization, such as chimera states [3], in real-world power grid topologies.

3. Effect of power failure in nodes on synchronization capability of the power grid.

4. How do fluctuations (perturbations) dynamically spread from one node to another in a complex network?

5. ...

Keywords

Electrotechnology Physics Mathematics Materials Antennas Electromagnetism Electronics Sound Microwave technology Robot technology and automation Energy systems Lasers Micro and nano technology Optics Sensors Mapping and surveying Image analysis Hardware and components Software and programming Telecommunication Nanoparticles Geometry Mathematical analysis Mathematical logics Mathematical modelling Statistics Hearing aids Medical equipment and systems Space technology and instruments Satellites

Contact

Supervisor info

Mads Peter Sørensen

30

BSc project, MSc thesis

Mads Peter Sørensen

30

BSc project, MSc thesis

Mads Peter Sørensen

30

BSc project, MSc thesis

Mads Peter Sørensen

30

BSc project, MSc thesis

Mads Peter Sørensen

30

BSc project, MSc thesis

For almost two centuries DTU, Technical University of Denmark, has been dedicated to fulfilling the vision of H.C. Ørsted – the father of electromagnetism – who founded the university in 1829 to develop and create value using the natural sciences and the technical sciences to benefit society.

Today, DTU is ranked as one of the foremost technical universities in Europe, continues to set new records in the number of publications, and persistently increases and develops our partnerships with industry, and assignments accomplished by DTU’s public sector consultancy.

Anker Engelunds Vej 1

Bygning 101A

2800 Kgs. Lyngby

Denmark

Tlf. (+45) 45 25 25 25

CVR-nr. 30 06 09 46

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