Model Order Reduction Techniques with Applications in Electrical Engineering

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. Language: English