
Eigenvalue Problems in Power Systems
Description
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explains eigenvalue problems applied into electrical power systems
explains numerical examples on applying the mathematical methods, into studying small signal stability problems of realistic and large electrical power systems
includes detailed and in-depth analysis including non-linear and other advanced aspects
provides theoretical understanding and advanced numerical techniques essential for secure operation of power systems
provides a comprehensive set of illustrative examples that support theoretical discussions
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Persons
Ioannis Dassios is currently a UCD Research Fellow at AMPSAS, University College Dublin, Ireland. He studied Mathematics and completed a two-year MSc in Applied Mathematics & Numerical Analysis at the Department of Mathematics, University of Athens, Greece with grade "Excellent" (highest mark in the Greek system). As a MSc student he received a travel grant to visit the Department of Mathematics at the University of North Texas, USA. In July 2013 he received his PhD in Mathematics from the Department of Mathematics, University of Athens, Greece, focusing on singular discrete dynamical systems and their applications. Since then, he has been a Post-Doctoral Researcher at MACSI (Mathematics Applications Consortium for Science and Industry), Department of Mathematics & Statistics, University of Limerick, Ireland and a Senior researcher at ERC/ESIPP, University College Dublin, Ireland. Previously, he worked as a Post-Doctoral Research & Teaching Fellow at the School of Mathematics, University of Edinburgh, UK, and for six months as a Post-Doctoral Research Associate at the Modelling and Simulation Centre, University of Manchester, UK. He has published 45 articles (16 single authored, and 29 co-authored with researchers from Universities and Industries) in internationally leading academic journals. He is an Editor in Applied Sciences, Signals, and has also served as a reviewer 333 times in 66 different journals.
Muyang Liu received from University College Dublin, Ireland, the ME in Electrical Energy Engineering in 2016. Since September 2016, she is a Ph.D. student candidate with University College Dublin. Her scholarship is funded through the SFI Investigator Award with title "Advanced Modelling for Power System Analysis and Simulation". Her current research interests include small-signal and transient stability analysis of power systems modelled through functional differential-algebraic equations.
Georgios Tzounas received from National Technical University of Athens, Greece, the ME in Electrical and Computer Engineering in 2017. Since September 2017, he is Ph.D. candidate with University College Dublin. His scholarship is funded through the SFI Investigator Award with title "Advanced Modelling for Power System Analysis and Simulation." His current research interests include eigenvalue problems as well as stability analysis and robust control of power system with inclusion of measurement delays.
Content
1. Power Systems Outlines
2. Mathematical Outlines
Part II Linear Eigenvalue Problema
3. Di?erential Equations with Regular Pencil
4. Explicit Di?erential-Algebraic Equations
5. Implicit Di?erential-Algebraic Equations
6. Di?erential Equations with Singular Pencil
7. Mobius Transform
8. Participation Factors
Part III Non-Linear Eigenvalue Problems
9. Polynomial Eigenvalue Problem
10. Delay Di?erential Equations
11. Systems with Constant Delays
12. Systems with Time-Varying Delays
Part IV Numerical Methods
13. Numerical Methods for Eigenvalue Problems
14. Open Source Libraries
15. Large Eigenvalue Problems
V Appendices
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