Model Order Reduction Techniques with Applications in Electrical Engineering de L. Fortuna

Model Order Reduction Techniques with Applications in Electrical Engineering

L. Fortuna

G. Nunnari

A. Gallo

Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processes, numerical computing experience, software developments and knowledge of system theory. Several model reduction algorithms are then discussed. The aim of this work is to give the reader an overview of reduced-order model design and an operative guide. Particular attention is given to providing basic concepts for building expert systems for model reducution.

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Cuprins

1 Introduction.- 1.1 Introduction.- 1.2 Formalisation of a model reduction problem.- 1.3 The importance of model order reduction.- 1.4 Notations and mathematical backgrounds.- References.- 2 Model Reduction.- 2.1 Overview of common model order reduction methods.- 2.2 Frequency domain methods for model order reduction.- 2.3 Time domain methods for model order reduction.- 2.4 Balanced realisation-based model order reduction.- 2.5 Balancing approaches for symmetrical systems.- 2.6 “Hankel”-based methods.- 2.7 Model order reduction examples.- References.- 3 Guidelines for Obtaining Low Order Models.- 3.1 Introduction.- 3.2 Reasons for using an expert system.- 3.3 Approaches for dealing with uncertainty.- 3.4 A suitable software environment for EXPRED.- 3.5 Expertise organisation.- 3.6 Consultation of the expert system.- 3.7 Quantitative assessment of reduced model performance.- References.- 4 Applications in Electrical Engineering.- 4.1 Introduction.- 4.2 Power system model order reduction.- 4.3 Model order reduction in transient electromagnetic phenomena.- 4.4 Approximated model identification of electrical induction machines.- 4.5 The approximated flywheel generator converter model in the JET (Joint European Torus) load.- 4.6 The Kokotovic reduced-order regulator problem.- 4.7 Techniques for characterising electrical network properties and model order reduction.- References.- 5 Advanced Topics in Model Reduction.- 5.1 Reduced-order models of high-order systems with bounded parameters.- 5.2 High-order systems with low-order compensators.- 5.3 Multidimensional system approximation.- 5.4 Balancing techniques for very large scale systems.- 5.5 Model order reduction for linear time-varying systems and non-linear systems.- 5.6 Towards unified software support for modelorder reduction.- 5.7 New software tools for model order reduction.- 5.8 Concluding remarks.- References.- Appendix A EXPRED Decision Tree.- Appendix B MATLAB Program Codes of the Main Reduction Algorithms.