Rateindependent Systems Theory And Application

This book constitutes the refereed proceedings of the First International Conference on the Theory and Application of Diagrams, Diagrams 2000, held in Edinburgh, Scotland, UK in September 2000. The 31 revised full papers presented together with 9 posters were carefully reviewed and selected from around 100 submissions.

Dynamical system theory has been widely used to study scientific problems. The purpose of this reprint is to introduce the latest research results related to dynamical system theory. This reprint is a reference for researchers engaged in applied mathematics, biomathematics and related fields.

This book presents the latest research on switching control, adaptive switching control, and their applications in the transient stability control and analysis of large-scale complex power systems. In large-scale complex power systems, renewable power generators, flexible power electronics converters, and distributed controllers are widely employed. Due to the poor overcurrent tolerance capability of power electronics converters and lacking of coordination mechanism, stability control in events, such as natural disasters, cascaded faults, and severe disturbances, is viewed as the key challenge in the operation of these systems. High-performance self-coordinated controllers are needed for the control of important power sources and power electronics converters. Adaptive switching controllers are a group of controllers designed by the authors for the control of various renewable power generators, synchronous generators, and modular multilevel converters.