Optimization in Electrical Engineering

This textbook provides students, researchers, and engineers in the area of electrical engineering with advanced mathematical optimization methods. Presented in a readable format, this book highlights fundamental concepts of advanced optimization used in electrical engineering. Chapters provide a collection that ranges from simple yet important concepts such as unconstrained optimization to highly advanced topics such as linear matrix inequalities and artificial intelligence-based optimization methodologies. The reader is motivated to engage with the content via numerous application examples of optimization in the area of electrical engineering. The book begins with an extended review of linear algebra that is a prerequisite to mathematical optimization. It then precedes with unconstrained optimization, convex programming, duality, linear matrix inequality, and intelligent optimization methods. This book can be used as the main text in courses such as Engineering Optimization, Convex Engineering Optimization, Advanced Engineering Mathematics and Robust Optimization and will be useful for practicing design engineers in electrical engineering fields. Author provided cases studies and worked examples are included for student and instructor use.

Reveals a systematic approach of optimization algorithms designed for real world applications Contains numerous new application examples to demonstrate how fundamentals can be applied in the domain of new electrical engineering areas such as smart grids, microgrids, and communication networks Provides engineering students with comprehensive coverage of the required fundamentals

Autorentext
Mohammad Fathi received the M.Sc. and Ph.D. degrees in electrical engineering from the Amirkabir University of Technology, Tehran, Iran, in 2003 and 2010, respectively. From 2003 to 2006, he was a Lecturer with the Department of Electrical Engineering, University of Kurdistan, Faculty of Engineering, Sanandaj, Iran, where he is currently working as an Associate Professor. From February 2010 to November 2010, he conducted part of his Ph.D. research work in the Communications and Networking Theory Laboratory, Royal Institute of Technology, Stockholm, Sweden. His current research interests include power scheduling, smart grid communications and control, network resource allocation, and optimization.

Hassan Bevrani received a PhD degree in electrical engineering from Osaka University in 2004. Currently, he is a full professor and the Program Leader of Micro/Smart Grids Research Center (SMGRC) at the University of Kurdistan. Over the years, he has worked with Osaka University, Kumamoto University (Japan), Queensland University of Technology (Australia), Kyushu Institute of Technology, Centrale Lille (France), and Technical University of Berlin (Germany). He is the author of 6 international books, 15 book chapters, and more than 300 journal/conference papers. He has been the guest editor of 3 volumes of Elsevier Energy Procedia journal. His current research interests include optimization, smart grid operation and control, power system stability, Microgrid dynamics and control, and Intelligent/robust control applications in power electric industry.

Inhalt
Introduction.- Linear Algebra Review.- Set constrained Optimization.- Convex Programming.- Duality.- LMI-based Optimization.- Artificial intelligence and evolutionary algorithms based optimization<p