Xujian Shu

This book belongs to the subject of Electric Engineering, and involves the concept of PT symmetry in quantum mechanics. It presents a concise and insightful view of the knowledge on PT symmetric circuits. This book first offers an overview of the development and challenges of wireless power transfer technology, as well as the introduction of PT symmetry in wireless power transfer, and then briefly introduces PT symmetry and its representation in circuits, so as to present the realization methods of negative resistor as the key component of PT symmetric circuits. On this basis, PT symmetric wireless power transfer systems are constructed, and their characteristics, including constant power, constant efficiency, constant voltage and constant current, are analyzed. Therein, the system designs and implementations are also mentioned. Next, the various techniques for improving performances of PT symmetric wireless power transfer, such as improvement of transfer distance, reduction of switching frequency and losses, etc. Moreover, the basic structures, transfer characteristics, system designs and implementations of different types of PT symmetric wireless power transfer systems are proposed, including multi-load system, multi-relay coil system, capacitive coupled system, inductive and capacitive dual-coupled system. Therefore, this book provides readers with enough background and understanding to go deeper in the topic of PT symmetric wireless power transfer, so that this book can be used as a textbook for courses related to PT symmetric circuits, PT symmetric wireless power transfer, 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 PT symmetric circuits, PT symmetric wireless power transfer systems.

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.

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.