Graph Theory in Power Converters: From Fundamental s to Applications : From Fundamentals to Applications

Understand the theory behind an area of rapid engineering innovation The field of power electronics has been rapidly transformed in recent decades by astonishing advances in power converter network techniques. Innovation in this field, however, has quickly come to outpace standards of mathematical knowledge among engineers, leading to ad hoc research outputs which are sometimes difficult to understand and duplicate. There is an urgent need for research which emphasizes the mathematical foundations of power converter topologies and operations, to equip engineers with the tools they need to continue driving extraordinary technological change. Graph Theory in Power Converters meets this need with a comprehensive overview of the topological relationships and systematic operations within power converters. Divided into two parts, the first emphasizing mathematical theory and research background and the second emphasizing practical applications, this book promises to fully equip readers with graph theory as a tool for analyzing, modelling and designing power converters. Graph Theory in Power Converters also provides readers: Coverage of both mainstream categories of power converters and emerging types, such as multiport converters and new current-source convertersDetailed discussion of topics including matrix-based theory, dual and isomorphic theories, topology transformations, and moreAnalysis and implementations driven by the authorial team's own research Graph Theory in Power Converters is ideal for engineers and researchers working in power electronics, as well as graduate students in power electronics and related fields.