Название: Fractional-Order Electrical Circuit Theory
Автор: Bo Zhang, Xujian Shu
Издательство: Springer
Серия: CPSS Power Electronics Series
Год: 2022
Страниц: 310
Язык: английский
Формат: pdf (true)
Размер: 10.1 MB

This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned.

Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.

Relying on the fractional-order wireless power transmission technology, we have solved the problem of stabilizing transmission efficiency and power in the existing wireless power transmission system. However, when we were conducting research on the fractional-order wireless power transmission, we found that there was no systematic theory of fractional-order circuits as a reference. Therefore, while the fractional-order wireless power transmission was explored, we also developed the theory of fractional-order circuits and extended the basic theorems of integer-order circuits to fractional-order circuits.