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This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters are proven with rigorous mathematical analyses. In addition, the commonly used definitions of Grünwald-Letnikov, Riemann-Liouville, Caputo, and Miller-Ross fractional derivatives are introduced with their properties proved and linked to fractional-order controller design. The last chapter presents several enlightening scenarios of fractional-order control designs, for example, the suppression of machining chatter, the nonlinear motion control of a multilink robot, the simultaneous tracking and stabilization control of a rotary inverted pendulum, and the idle speed control of an internal combustion engine (ICE).

IEC 61850-Based Smart Substations: Principles, Testing, Operation and Maintenance systematically presents principles, testing approaches, and the operation and maintenance technologies of such substations from the perspective of real-world application. The book consists of chapters that cover a review of IEC 61850 based smart substations, substation configuration technology, principles and testing technologies for the smart substation, process bus, substation level, time setting and synchronization, and cybersecurity. It gives detailed information on testing processes and approaches, operation and maintenance technologies, and insights gained through practical experience. As IEC 61850 based smart substations have played a significant role in smart grids, realizing information sharing and device interoperation, this book provides a timely resource on the topics at hand. - Contributes to the overall understanding of standard IEC 61850, analyzing principles and features - Introduces best practices derived from hundreds of smart substation engineering applications - Summarizes current research and insights gained from practical experience in the testing, operation and maintenance of smart substation projects in China - Gives systematic and detailed information on testing technology - Introduces novel technologies for next-generation substations

Fluctuation Mechanism and Control on System Instantaneous Availability facilitates the development of modeling and identification skills for both theoretical research and applications. Supplying an overall summary of current research results in fluctuation analysis of instantaneous availability, it covers the theory, methodology, and specific engineering implementation required to conduct equipment instantaneous availability analysis. Presenting practical methods and tools, it describes how to control the matching transition of new equipment systems as a result of interactions among sub-systems.