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Optics, Photonics and Laser Technology: Proceedings Of The 2nd International Conference On Photonics, Optics And Laser Technology Revised Selected Papers (Springer Proceedings in Physics #177)
by Paulo A. Ribeiro Maria RaposoThis book covers key theoretical and practical aspects of optics, photonics and lasers. It addresses optical instrumentation and metrology, photonic and optoelectronic materials and devices, nanophotonics, organic and bio-photonics and high-field phenomena. Researchers, engineers, students and practitioners interested in any of these fields will find a wealth of new methods, technologies, advanced prototypes, systems, tools and techniques, as well as general surveys outlining future directions.
Optik und Photonik
by Bahaa E. Saleh Malvin Carl TeichVollständig überarbeitete Neuauflage des maßgeblichen Grundlagen-Lehrbuchs zur Optik und Photonik - umfassend überarbeitet und mit einem neuen Kapitel zur Metamaterialoptik erweitert Die Optik ist eines der ältesten und faszinierendsten Teilgebiete der Physik und fest in den Curricula des Physikstudiums verankert. Sie beschäftigt sich mit der Ausbreitung von Licht und Phänomenen wie Interferenz, Brechung, Beugung und optischen Abbildungen. Die Photonik umfasst optische Phänomene, die primär auf der Wechselwirkung von (quantisiertem) Licht und Materie beruhen, und befasst sich mit dem Verständnis und der Entwicklung optischer Bauteile und Systeme wie etwa Lasern, LEDs und photonischen Kristallen. In bewährter Weise gibt die vollständig überarbeitete und erweiterte Neuauflage des "Saleh/Teich" eine Einführung in die Grundlagen der Optik und Photonik für Studierende der Physik und verwandter Wissenschaften. Ausführliche Erklärungen, rund 1000 Abbildungen und die zur quantitativen Durchdringung notwendige Mathematik ermöglichen ein tiefes Verständnis aller Teilgebiete der klassischen und modernen Optik. * Umfassend und verständlich: sämtliche Grundlagen der Optik und Photonik in einem Werk vereint * Geschrieben von hervorragenden Didaktikern mit langer Lehrerfahrung: optische Phänomene und deren Physik stehen im Vordergrund, der notwendige mathematische Apparat wird behutsam entwickelt * Überarbeitet und erweitert: alle Kapitel wurden mit Blick auf noch bessere Verständlichkeit kritisch geprüft und aktualisiert * Komplett neu: umfangreiches Kapitel zu Metamaterialoptik "Optik und Photonik" richtet sich an Bachelor- und Master-Studierende der Physik, Materialwissenschaften und Ingenieurwissenschaften.
Optik und ihre Phänomene: Lichtspiele in der Natur: von Luftspiegelungen und Himmelsfarben bis in die Weiten des Alls
by Michael VollmerDieses Lehr-, Lern-, Fach- und Sachbuch präsentiert die Grundlagen der Optik in Theorie und ausführlich beschriebenem Experiment sowie vielfältige faszinierende optische Phänomene. Ob in Vorlesungen, Seminaren, für Projektarbeiten, Schulunterricht oder Selbststudium - dieses Buch ist eine wertvolle Ressource für alle, die sich für Optik interessieren. Durch die große Zahl zitierter Originalarbeiten schlägt es nicht nur die Brücke zur Lehre sondern auch zur Forschung. Besonderheiten: Das Buch besticht durch seine über 1000 Abbildungen, darunter über 200 qualitativ hochwertige Farbfotos optischer Naturphänomene sowie einer großen Zahl an wissenschaftlichen und physikdidaktischen Literaturangaben für weiterführende Studien. Die Kapitel sind jeweils auch einzeln lesbar, aber zusammen ist es eine einmalige Kombination aus einführendem Lehrbuch der klassischen Optik und detaillierter up-to-date Zusammenstellung von Anwendungen im Bereich optischer Naturphänomene. Thematisch spannt es einen sehr weiten Bogen: von geometrischer, Wellen- und Quantenoptik, Radiometrie und Photometrie über Farbtheorien und technische Anwendungen wie Spektroskopie bis hin zu Naturphänomenen oder der Frage warum der Himmel nachts dunkel ist. Die Grundlagen werden vertieft durch zahlreiche Verständnisfragen und Übungsaufgaben zusätzlich zu vielen Anwendungsbeispielen, die von Fensterreflexionen über Lichtwellenleiter und Smartphoneobjektive bis hin zu modernen Beamern reichen. Inhalt: 1. Einleitung .- 2. Geometrische Optik .- 3. Wellenoptik .- 4. Wechselwirkung von Strahlung mit Materie: Quantenoptik .- 5. Detektoren und Lichtquellen .- 6. Visuelle Wahrnehmung .- 7. Die Atmosphäre der Erde .- 8. Luftspiegelungen.- 9. Regenbögen .- 10. Koronen, Glorien und verwandte Erscheinungen .- 11. Haloerscheinungen am Himmel.- 12. Lichtstreuung und Himmelsfarben .- 13. Weitere Phänomene aufgrund von Lichtstreuung .- 14. Bis in die Stratosphäre und darüber hinaus Neuerungen (zur 2.Aufl.): Der erste Lehrbuchteil zu den Grundlagen ist komplett neu hinzugefügt. Der zweite Teil zu den Anwendungen und Naturphänomenen wurde komplett überarbeitet und aktualisiert. Zudem illustrieren nun über 200 Farbfotos die Phänomene. Die Zielgruppe: Sowohl interessierte Laien - mit und ohne Vorwissen - und Lehrkräfte an Schulen als auch Studierende diverser Fachrichtungen sowie deren Lehrende profitieren von dieser umfangreichen Zusammenstellung. Optik wird nicht nur im Bachelor bzw. Master in Physik u. Astronomie bzw. Astrophysik sowie in den Naturwissenschaften thematisiert, sondern auch in Studiengängen mit Schwerpunkten wie Licht- und Beleuchtungstechnik, Lasertechnik, optische Technologien, Optoelektronik und Photonik, Augenoptik, Meteorologie, uvm. Vorkenntnisse: Erforderlich ist kein besonderes Vorwissen, allerdings ermöglichen manche der angegebenen Querbezüge ein tieferes Verständnis, welches sich erst mit Vorkenntnissen aus einigen Grundlagenfächern der Physik, insbesondere des Elektromagnetismus, der Festkörperphysik sowie der Quantenphysik vollständig erschließt.
Optimal Analysis of Structures by Concepts of Symmetry and Regularity
by Ali KavehOptimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
by Nicolae Herisanu Vasile Marinca Bogdan MarincaThis book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
by Martin GugatThis brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.
Optimal Control
by Ravi P. Agarwal Leonid T. Aschepkov Dmitriy V. Dolgy Taekyun KimThis book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.
Optimal Control
by Ravi P. Agarwal Dmitriy V. Dolgy Taekyun Kim Leonid T. AshchepkovThis textbook, now in its second edition, results from lectures, practical problems, and workshops on Optimal Control, given by the authors at Irkutsk State University, Far Eastern Federal University (both in Vladivostok, Russia), and Kwangwoon University (Seoul, South Korea).In this work, the authors cover the theory of linear and nonlinear systems, touching on the basic problem of establishing the necessary and sufficient conditions of optimal processes. Readers will find two new chapters, with results of potential interest to researchers with a focus on the theory of optimal control, as well as to those interested in applications in Engineering and related sciences. In addition, several improvements have been made through the text.This book is structured in three parts. Part I starts with a gentle introduction to the basic concepts in Optimal Control. In Part II, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of reachability set in the class of piecewise continuous controls and touch on the problems of controllability, observability, identification, performance, and terminal control. Part III, in its turn, is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Problem sets at the end of chapters and a list of additional tasks, provided in the appendix, are offered for students seeking to master the subject. The exercises have been chosen not only as a way to assimilate the theory but also as to induct the application of such knowledge in more advanced problems.
Optimal Control Applications for Operations Strategy
by Bowon KimThis book focuses on the applications of optimal control theory to operations strategy and supply chain management. It emphasizes the importance of optimal control theory as a tool to analyze and understand fundamental issues in the respective fields. Delving deeper, the book also elaborates on how optimal control theory provides managerial and economic insights, enabling readers to comprehend the dynamic activities and interactions in operations. Given that optimal control theory is not a dominant approach to studying operations management in the current literature, this book fills that gap by showing its effectiveness as a tool to supplement other methodologies in operations.
Optimal Control Applied to Biological Models (Chapman & Hall/CRC Mathematical Biology Series)
by Suzanne Lenhart John T. WorkmanFrom economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t
Optimal Control Theory and Static Optimization in Economics
by Daniel Leonard Ngo Van LongOptimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This book is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigor. Economic intuition is emphasized, examples and problem sets covering a wide range of applications in economics are provided, theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with the simple formulations and progressing to advanced topics. Optimal control theory is introduced directly, without recourse to the calculus of variations, and the connection with the latter and with dynamic programming is explained in a separate chapter. Also, the book draws the parallel between optimal control theory and static optimization. No previous knowledge of differential equations is required.
Optimal Control Theory: Applications to Management Science and Economics
by Suresh P. SethiThis fully revised 3rd edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It brings to students the concept of the maximum principle in continuous, as well as discrete, time by using dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations faced in business and economics. The book exploits optimal control theory to the functional areas of management including finance, production and marketing and to economics of growth and of natural resources. In addition, this new edition features materials on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. The book provides exercises for each chapter and answers to selected exercises to help deepen the understanding of the material presented. Also included are appendices comprised of supplementary material on the solution of differential equations, the calculus of variations and its relationships to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems.Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the author has applied to business management problems developed from his research and classroom instruction. The new edition has been completely refined and brought up to date. Ultimately this should continue to be a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers concerned with the application of dynamic optimization in their fields.
Optimal Control Theory: Applications to Management Science and Economics (Springer Texts in Business and Economics)
by Suresh P. SethiThis new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. Exercises are included in each chapter, while the answers to selected exercises help deepen readers’ understanding of the material covered. Also included are appendices of supplementary material on the solution of differential equations, the calculus of variations and its ties to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as the foundation for the book, in which the author applies it to business management problems developed from his own research and classroom instruction. The new edition has been refined and updated, making it a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers interested in applying dynamic optimization in their fields.
Optimal Control and Geometry: Integrable Systems
by Velimir JurdjevicThe synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.
Optimal Control for Chemical Engineers
by Simant Ranjan UpretiThis self-contained book gives a detailed treatment of optimal control theory that enables readers to formulate and solve optimal control problems. With a strong emphasis on problem solving, it provides all the necessary mathematical analyses and derivations of important results, including multiplier theorems and Pontryagin's principle. The text presents various examples and basic concepts of optimal control and describes important numerical methods and computational algorithms for solving a wide range of optimal control problems, including periodic processes.
Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice
by Alain Rapaport Claude Lobry Jérôme Harmand Tewfik SariOptimal control is a branch of applied mathematics that engineers need in order to optimize the operation of systems and production processes. Its application to concrete examples is often considered to be difficult because it requires a large investment to master its subtleties. The purpose of Optimal Control in Bioprocesses is to provide a pedagogical perspective on the foundations of the theory and to support the reader in its application, first by using academic examples and then by using concrete examples in biotechnology. The book is thus divided into two parts, the first of which outlines the essential definitions and concepts necessary for the understanding of Pontryagin’s maximum principle – or PMP – while the second exposes applications specific to the world of bioprocesses. This book is unique in that it focuses on the arguments and geometric interpretations of the trajectories provided by the application of PMP.
Optimal Control in Thermal Engineering
by Viorel BadescuThis book is the first major work covering applications in thermal engineering and offering a comprehensive introduction to optimal control theory, which has applications in mechanical engineering, particularly aircraft and missile trajectory optimization. The book is organized in three parts: The first part includes a brief presentation of function optimization and variational calculus, while the second part presents a summary of the optimal control theory. Lastly, the third part describes several applications of optimal control theory in solving various thermal engineering problems. These applications are grouped in four sections: heat transfer and thermal energy storage, solar thermal engineering, heat engines and lubrication. Clearly presented and easy-to-use, it is a valuable resource for thermal engineers and thermal-system designers as well as postgraduate students.
Optimal Control of Greenhouse Cultivation
by Gerrit van Straten Gerard van Willigenburg Eldert van Henten Rachel van OoteghemGreenhouse control system manufacturers produce equipment and software with hundreds of settings and, while they hold training courses on how to adjust these settings, there is as yet no integrated instruction on when or why. Despite rapid growth in the greenhouse industry, growers are still faced with a multitude of variables and no unifying frame
Optimal Control of Hybrid Vehicles
by Thijs Van Keulen John Kessels Bram De JagerOptimal Control of Hybrid Vehicles provides a description of power train control for hybrid vehicles. The background, environmental motivation and control challenges associated with hybrid vehicles are introduced. The text includes mathematical models for all relevant components in the hybrid power train. The power split problem in hybrid power trains is formally described and several numerical solutions detailed, including dynamic programming and a novel solution for state-constrained optimal control problems based on the maximum principle. Real-time-implementable strategies that can approximate the optimal solution closely are dealt with in depth. Several approaches are discussed and compared, including a state-of-the-art strategy which is adaptive for vehicle conditions like velocity and mass. Three case studies are included in the book: * a control strategy for a micro-hybrid power train; * experimental results obtained with a real-time strategy implemented in a hybrid electric truck; and * an analysis of the optimal component sizes for a hybrid power train. Optimal Control of Hybrid Vehicles will appeal to academic researchers and graduate students interested in hybrid vehicle control or in the applications of optimal control. Practitioners working in the design of control systems for the automotive industry will also find the ideas propounded in this book of interest.
Optimal Control of Hydrosystems
by Larry W. Mays"Combines the hydraulic simulation of physical processes with mathematical programming and differential dynamic programming techniques to ensure the optimization of hydrosystems. Presents the principles and methodologies for systems and optimal control concepts; features differential dynamic programming in developing models and solution algorithms for groundwater, real-time flood and sediment control of river-reservoir systems, and water distribution systems operations, as well as bay and estuary freshwater inflow reservoir oprations; and more."
Optimal Control of Induction Heating Processes (Mechanical Engineering)
by Edgar Rapoport Yulia PleshivtsevaThis book introduces new approaches to solving optimal control problems in induction heating process applications. Optimal Control of Induction Heating Processes demonstrates how to apply and use new optimization techniques for different types of induction heating installations.Focusing on practical methods for solving real engineering o
Optimal Control of Switched Systems Arising in Fermentation Processes
by Chongyang Liu Zhaohua GongThe book presents, in a systematic manner, the optimal controls under different mathematical models in fermentation processes. Variant mathematical models - i. e. , those for multistage systems; switched autonomous systems; time-dependent and state-dependent switched systems; multistage time-delay systems and switched time-delay systems - for fed-batch fermentation processes are proposed and the theories and algorithms of their optimal control problems are studied and discussed. By putting forward novel methods and innovative tools, the book provides a state-of-the-art and comprehensive systematic treatment of optimal control problems arising in fermentation processes. It not only develops nonlinear dynamical system, optimal control theory and optimization algorithms, but can also help to increase productivity and provide valuable reference material on commercial fermentation processes.
Optimal Control of a Double Integrator
by Arturo LocatelliThis book provides an introductory yet rigorous treatment of Pontryagin's Maximum Principle and its application to optimal control problems when simple and complex constraints act on state and control variables, the two classes of variable in such problems. The achievements resulting from first-order variational methods are illustrated with reference to a large number of problems that, almost universally, relate to a particular second-order, linear and time-invariant dynamical system, referred to as the double integrator. The book is ideal for students who have some knowledge of the basics of system and control theory and possess the calculus background typically taught in undergraduate curricula in engineering. Optimal control theory, of which the Maximum Principle must be considered a cornerstone, has been very popular ever since the late 1950s. However, the possibly excessive initial enthusiasm engendered by its perceived capability to solve any kind of problem gave way to its equally unjustified rejection when it came to be considered as a purely abstract concept with no real utility. In recent years it has been recognized that the truth lies somewhere between these two extremes, and optimal control has found its (appropriate yet limited) place within any curriculum in which system and control theory plays a significant role.
Optimal Control with Aerospace Applications
by James M. Longuski José J. Guzmán John E. PrussingWant to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e. g. , crossing a river in minimum time) to engineering problems (e. g. , minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!
Optimal Coordination of Power Protective Devices with Illustrative Examples (IEEE Press Series on Power and Energy Systems)
by Ali R. Al-RoomiOptimal Coordination of Power Protective Devices with Illustrative Examples Provides practical guidance on the coordination issue of power protective relays and fuses Protecting electrical power systems requires devices that isolate the components that are under fault while keeping the rest of the system stable. Optimal Coordination of Power Protective Devices with Illustrative Examples provides a thorough introduction to the optimal coordination of power systems protection using fuses and protective relays. Integrating fundamental theory and real-world practice, the text begins with an overview of power system protection and optimization, followed by a systematic description of the essential steps in designing optimal coordinators using only directional overcurrent relays. Subsequent chapters present mathematical formulations for solving many standard test systems, and cover a variety of popular hybrid optimization schemes and their mechanisms. The author also discusses a selection of advanced topics and extended applications including adaptive optimal coordination, optimal coordination with multiple time-current curves, and optimally coordinating multiple types of protective devices. Optimal Coordination of Power Protective Devices: Covers fuses and overcurrent, directional overcurrent, and distance relays Explains the relation between fault current and operating time of protective relays Discusses performance and design criteria such as sensitivity, speed, and simplicity Includes an up-to-date literature review and a detailed overview of the fundamentals of power system protection Features numerous illustrative examples, practical case studies, and programs coded in MATLAB® programming language Optimal Coordination of Power Protective Devices with Illustrative Examples is the perfect textbook for instructors in electric power system protection courses, and a must-have reference for protection engineers in power electric companies, and for researchers and industry professionals specializing in power system protection.