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Graph Theory in Power Converters

Graph Theory in Power Converters From Fundamentals to Applications

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Graph Theory in Power Converters

From Fundamentals to Applications

Yuzhuo Li | Yunwei Ryan Li

Technology & Engineering / Power Resources / General

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 converters
  • Detailed discussion of topics including matrix-based theory, dual and isomorphic theories, topology transformations, and more
  • Analysis 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.

Yuzhuo Li, PhD, is a Postdoctoral Fellow in the Electric and Intelligent Grid Research Lab, Department of Electrical and Computer Engineering, University of Alberta, Canada. He is also Vice-Chair of the IEEE Northern Canada PELS Chapter.

Yunwei Ryan Li, PhD, is University of Alberta Senior Engineering Research Chair and Chair in the Department of Electrical and Computer Engineering, Alberta, Canada. He also serves as Vice President of the IEEE Power Electronics Society and Editor-in-Chief of IEEE Transactions on Power Electronics (TPEL) Letters, and has published prolifically on power electronics and related subjects.


Publication Date: 12 October 2026
Publisher: Wiley
Imprint: Wiley-IEEE Press
ISBN-13: 9781394222292
Format: Hardback

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