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Mathematical Optimization Terminology

Mathematical Optimization Terminology
A Comprehensive Glossary of Terms

by Andre A. Keller

  • Publisher : Academic Press
  • Release : 2017-11-10
  • Pages : 338
  • ISBN : 0128052953
  • Language : En, Es, Fr & De
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Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques. Discusses real-world applications of optimization and how it can be used in algorithms Explains the essential formulations of optimization in mathematics Covers a more practical approach to optimization

Mathematical Optimization Terminology

Mathematical Optimization Terminology
A Book

by Olga Moreira

  • Publisher : Arcler Press
  • Release : 2019-11
  • Pages : 349
  • ISBN : 9781774071458
  • Language : En, Es, Fr & De
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Mathematical Optimization Terminology takes into account multi-objective method considering the problems related to optimization in case of power distribution systems. It includes a short survey on model-based evolutionary algorithms and study on parameter optimization for support vector regression. This book also discusses about gradient-based cuckoo search for global optimization, a hybrid cuckoo search algorithm, extraction methods for uncertain inference rules by ant colony optimization, a benchmark test suite for evolutionary many-objective optimization, a hybrid SA-MFO algorithm for function optimization and engineering design problems and social group optimization (SGO).

Modeling Languages in Mathematical Optimization

Modeling Languages in Mathematical Optimization
A Book

by Josef Kallrath

  • Publisher : Springer Science & Business Media
  • Release : 2004-02-29
  • Pages : 407
  • ISBN : 9781402075476
  • Language : En, Es, Fr & De
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This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.

Dictionary of Industrial Terminology

Dictionary of Industrial Terminology
A Book

by Michael D. Holloway,Emma Holloway

  • Publisher : John Wiley & Sons
  • Release : 2020-12-08
  • Pages : 1456
  • ISBN : 1119364086
  • Language : En, Es, Fr & De
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This is the most comprehensive dictionary of maintenance and reliability terms ever compiled, covering the process, manufacturing, and other related industries, every major area of engineering used in industry, and more. The over 15,000 entries are all alphabetically arranged and include special features to encourage usage and understanding. They are supplemented by hundreds of figures and tables that clearly demonstrate the principles & concepts behind important process control, instrumentation, reliability, machinery, asset management, lubrication, corrosion, and much much more. With contributions by leading researchers in the field: Zaki Yamani Bin Zakaria Department, Chemical Engineering, Faculty Universiti Teknologi Malaysia, Malaysia Prof. Jelenka B. Savkovic-Stevanovic, Chemical Engineering Dept, University of Belgrade, Serbia Jim Drago, PE, Garlock an EnPro Industries family of companies, USA Robert Perez, President of Pumpcalcs, USA Luiz Alberto Verri, Independent Consultatnt, Verri Veritatis Consultoria, Brasil Matt Tones, Garlock an EnPro Industries family of companies, USA Dr. Reza Javaherdashti, formerly with Qatar University, Doha-Qatar Prof. Semra Bilgic, Faculty of Sciences, Department of Physical Chemistry, Ankara University, Turkey Dr. Mazura Jusoh , Chemical Engineering Department, Universiti Teknologi Malaysia Jayesh Ramesh Tekchandaney, Unique Mixers and Furnaces Pvt. Ltd. Dr. Henry Tan, Senior Lecturer in Safety & Reliability Engineering, and Subsea Engineering, School of Engineering, University of Aberdeen Fiddoson Fiddo, School of Engineering, University of Aberdeen Prof. Roy Johnsen, NTNU, Norway Prof. N. Sitaram , Thermal Turbomachines Laboratory, Department of Mechanical Engineering, IIT Madras, Chennai India Ghazaleh Mohammadali, IranOilGas Network Members' Services Greg Livelli, ABB Instrumentation, Warminster, Pennsylvania, USA Gas Processors Suppliers Association (GPSA)

Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms

Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms
A Book

by André A. Keller

  • Publisher : Bentham Science Publishers
  • Release : 2019-03-28
  • Pages : 310
  • ISBN : 1681087065
  • Language : En, Es, Fr & De
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Multi-Objective Optimization in Theory and Practice is a simplified two-part approach to multi-objective optimization (MOO) problems. This second part focuses on the use of metaheuristic algorithms in more challenging practical cases. The book includes ten chapters that cover several advanced MOO techniques. These include the determination of Pareto-optimal sets of solutions, metaheuristic algorithms, genetic search algorithms and evolution strategies, decomposition algorithms, hybridization of different metaheuristics, and many-objective (more than three objectives) optimization and parallel computation. The final section of the book presents information about the design and types of fifty test problems for which the Pareto-optimal front is approximated. For each of them, the package NSGA-II is used to approximate the Pareto-optimal front. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science and mathematics degree programs.

Multi-Objective Optimization in Theory and Practice I: Classical Methods

Multi-Objective Optimization in Theory and Practice I: Classical Methods
A Book

by Andre A. Keller

  • Publisher : Bentham Science Publishers
  • Release : 2017-12-13
  • Pages : 296
  • ISBN : 1681085682
  • Language : En, Es, Fr & De
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Multi-Objective Optimization in Theory and Practice is a traditional two-part approach to solving multi-objective optimization (MOO) problems namely the use of classical methods and evolutionary algorithms. This first book is devoted to classical methods including the extended simplex method by Zeleny and preference-based techniques. This part covers three main topics through nine chapters. The first topic focuses on the design of such MOO problems, their complexities including nonlinearities and uncertainties, and optimality theory. The second topic introduces the founding solving methods including the extended simplex method to linear MOO problems and weighting objective methods. The third topic deals with particular structures of MOO problems, such as mixed-integer programming, hierarchical programming, fuzzy logic programming, and bimatrix games. Multi-Objective Optimization in Theory and Practice is a user-friendly book with detailed, illustrated calculations, examples, test functions, and small-size applications in Mathematica® (among other mathematical packages) and from scholarly literature. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science, and mathematics degree programs.

Mathematical Optimization of Water Networks

Mathematical Optimization of Water Networks
A Book

by Alexander Martin,Kathrin Klamroth,Jens Lang,Günter Leugering,Antonio Morsi,Martin Oberlack,Manfred Ostrowski,Roland Rosen

  • Publisher : Springer Science & Business Media
  • Release : 2012-06-30
  • Pages : 196
  • ISBN : 3034804369
  • Language : En, Es, Fr & De
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Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. The networks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex model systems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades; usually with very limited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF).

Linear and Convex Optimization

Linear and Convex Optimization
A Mathematical Approach

by Michael H. Veatch

  • Publisher : John Wiley & Sons
  • Release : 2021-01-13
  • Pages : 384
  • ISBN : 1119664047
  • Language : En, Es, Fr & De
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Discover the practical impacts of current methods of optimization with this approachable, one-stop resource Linear and Convex Optimization: A Mathematical Approach delivers a concise and unified treatment of optimization with a focus on developing insights in problem structure, modeling, and algorithms. Convex optimization problems are covered in detail because of their many applications and the fast algorithms that have been developed to solve them. Experienced researcher and undergraduate teacher Mike Veatch presents the main algorithms used in linear, integer, and convex optimization in a mathematical style with an emphasis on what makes a class of problems practically solvable and developing insight into algorithms geometrically. Principles of algorithm design and the speed of algorithms are discussed in detail, requiring no background in algorithms. The book offers a breadth of recent applications to demonstrate the many areas in which optimization is successfully and frequently used, while the process of formulating optimization problems is addressed throughout. Linear and Convex Optimization contains a wide variety of features, including: Coverage of current methods in optimization in a style and level that remains appealing and accessible for mathematically trained undergraduates Enhanced insights into a few algorithms, instead of presenting many algorithms in cursory fashion An emphasis on the formulation of large, data-driven optimization problems Inclusion of linear, integer, and convex optimization, covering many practically solvable problems using algorithms that share many of the same concepts Presentation of a broad range of applications to fields like online marketing, disaster response, humanitarian development, public sector planning, health delivery, manufacturing, and supply chain management Ideal for upper level undergraduate mathematics majors with an interest in practical applications of mathematics, this book will also appeal to business, economics, computer science, and operations research majors with at least two years of mathematics training.

Optimization of Energy Supply Systems

Optimization of Energy Supply Systems
Modelling, Programming and Analysis

by Janet Nagel

  • Publisher : Springer
  • Release : 2018-09-28
  • Pages : 294
  • ISBN : 3319963554
  • Language : En, Es, Fr & De
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This book describes how a model for optimizing the energy supply system in Germany can be implemented. It focuses on the open energy modeling framework (Oemof) program for modeling energy supply systems. The individual elements of Oemof are described, as well as the model’s structure. The technical components of Oemof are subsequently demonstrated in mathematical calculations, along with sufficient Python code to begin basic modeling. The book will appeal to anyone with an interest in optimization models for energy supply systems, or in the mathematical description of the technical components of such systems in practical implementation, using a real example, Oemof. Thermodynamic descriptions of combustion are provided, so that readers can focus on modeling aspects. Researchers and practitioners will also find the book useful, as it expands on their knowledge of the technical components of energy supply systems, supported with detailed mathematical calculations.

Optimal Operation and Control of Power Systems Using an Algebraic Modelling Language

Optimal Operation and Control of Power Systems Using an Algebraic Modelling Language
A Book

by Nnamdi Nwulu,Saheed Lekan Gbadamosi

  • Publisher : Springer Nature
  • Release : 2021-01-04
  • Pages : 254
  • ISBN : 3030003957
  • Language : En, Es, Fr & De
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This book presents mathematical models of demand-side management programs, together with operational and control problems for power and renewable energy systems. It reflects the need for optimal operation and control of today’s electricity grid at both the supply and demand spectrum of the grid. This need is further compounded by the advent of smart grids, which has led to increased customer/consumer participation in power and renewable energy system operations. The book begins by giving an overview of power and renewable energy systems, demand-side management programs and algebraic modeling languages. The overview includes detailed consideration of appliance scheduling algorithms, price elasticity matrices and demand response incentives. Furthermore, the book presents various power system operational and control mathematical formulations, incorporating demand-side management programs. The mathematical formulations developed are modeled and solved using the Advanced Interactive Multidimensional Modeling System (AIMMS) software, which offers a powerful yet simple algebraic modeling language for solving optimization problems. The book is extremely useful for all power system operators and planners who are concerned with optimal operational procedures for managing today’s complex grids, a context in which customers are active participants and can curb/control their demand. The book details how AIMMS can be a useful tool in optimizing power grids and also offers a valuable research aid for students and academics alike.

Groundwater Optimization Handbook

Groundwater Optimization Handbook
Flow, Contaminant Transport, and Conjunctive Management

by Richard C. Peralta

  • Publisher : CRC Press
  • Release : 2012-04-26
  • Pages : 532
  • ISBN : 1439838062
  • Language : En, Es, Fr & De
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Existing and impending water shortages argue for improving water quantity and quality management. Groundwater Optimization Handbook: Flow, Contaminant Transport, and Conjunctive Management helps you formulate and solve groundwater optimization problems to ensure sustainable supplies of adequate quality and quantity. It shows you how to more effectively use simulation-optimization (S-O) modeling, an economically valuable groundwater management tool that couples simulation models with mathematical optimization techniques. Written for readers of varying familiarity with groundwater hydrology and mathematical optimization, the handbook approaches complex problems realistically. Its techniques have been applied in many legal settings, with produced strategies providing up to 57% improvement over those developed without S-O modeling. These techniques supply constructible designs, planning and management strategies, and metrics for performance-based contracts. Learn how to: Recognize opportunities for applying S-O models Lead client, agency, and consultant personnel through the strategy design and adaptation process Formulate common situations as clear deterministic/stochastic and single/multiobjective mathematical optimization problems Distinguish between problem nonlinearities resulting from physical system characteristics versus management goals Create an S-O model appropriate for your specific needs or select an existing transferrable model Develop acceptable feasible solutions and compute optimal solutions Quantify tradeoffs between multiple objectives Evaluate and adapt a selected optimal strategy, or use it as a metric for comparison Drawing on the author’s numerous real-world designs and more than 30 years of research, consulting, and teaching experience, this practical handbook supplies design procedures, detailed flowcharts, solved problems, lessons learned, and diverse applications. It guides you through the maze of multiple objectives, constraints, and uncertainty to calculate the best strategies for managing flow, contamination, and conjunctive use of groundwater and surface water. Ancillary materials are available from the Downloads tab on the book page at www.crcpress.com.

Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory
A Book

by Michael D. Intriligator

  • Publisher : SIAM
  • Release : 2002-01-01
  • Pages : 508
  • ISBN : 0898715113
  • Language : En, Es, Fr & De
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A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Simulation-based Optimization of Energy Efficiency in Production

Simulation-based Optimization of Energy Efficiency in Production
A Book

by Anna Carina Römer

  • Publisher : Springer Nature
  • Release : 2021
  • Pages : 243
  • ISBN : 3658329718
  • Language : En, Es, Fr & De
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The importance of the energy and commodity markets has steadily increased since the first oil crisis. The sustained use of energy and other resources has become a basic requirement for a company to competitively perform on the market. The modeling, analysis and assessment of dynamic production processes is often performed using simulation software. While existing approaches mainly focus on the consideration of resource consumption variables based on metrologically collected data on operating states, the aim of this work is to depict the energy consumption of production plants through the utilization of a continuous simulation approach in combination with a discrete approach for the modeling of material flows and supporting logistic processes. The complex interactions between the material flow and the energy usage in production can thus be simulated closer to reality, especially the depiction of energy consumption peaks becomes possible. An essential step towards reducing energy consumption in production is the optimization of the energy use of non-value-adding production phases. About the author: Anna Carina Romer was an external doctoral student at the Department of Information Technology in Production and Logistics at the Technische Universitat Ilmenau. The main focus of her research was on hybrid simulation models, with a focus on both the conceptual design of hybrid simulation models and the use of hybrid models for the optimization of energy consumption in production plants.

Modern Optimization Techniques with Applications in Electric Power Systems

Modern Optimization Techniques with Applications in Electric Power Systems
A Book

by Soliman Abdel-Hady Soliman,Abdel-Aal Hassan Mantawy

  • Publisher : Springer Science & Business Media
  • Release : 2011-12-14
  • Pages : 414
  • ISBN : 1461417511
  • Language : En, Es, Fr & De
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This book presents the application of some AI related optimization techniques in the operation and control of electric power systems. With practical applications and examples the use of functional analysis, simulated annealing, Tabu-search, Genetic algorithms and fuzzy systems for the optimization of power systems is discussed in detail. Preliminary mathematical concepts are presented before moving to more advanced material. Researchers and graduate students will benefit from this book. Engineers working in utility companies, operations and control, and resource management will also find this book useful. ​

Design and Optimization of Laminated Composite Materials

Design and Optimization of Laminated Composite Materials
A Book

by Zafer Gürdal,Raphael T. Haftka,Prabhat Hajela

  • Publisher : John Wiley & Sons
  • Release : 1999-01-28
  • Pages : 352
  • ISBN : 9780471252764
  • Language : En, Es, Fr & De
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Expand your design horizons with a thorough, integrated knowledge of laminate mechanics and design optimization techniques Offering a thorough treatment of both contemporary design optimization techniques and the mechanics of composite laminates, Design and Optimization of Laminated Composite Materials broadens engineers' design horizons by providing them with the information they need to take full advantage of this important class of composite materials. Intended to serve as an undergraduate- to graduate-level course text or a professional reference for practicing engineers, it features a rational, integrated presentation, supplemented with case examples, practice exercises, and valuable programming tips. Important features include: * An integrated approach to the analysis and design of laminated composites * Selected optimization methods that are suited to the design of laminates with discrete thickness and orientation angles * Guidelines on getting the most out of numerical and graphical software applications for laminate optimization problems * A companion Web site containing valuable Mathematica(TM)-based programs and helpful tutorials: www.composite-design.vt.edu

Optimal Estimation in Approximation Theory

Optimal Estimation in Approximation Theory
A Book

by Charles Michelli

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-22
  • Pages : 300
  • ISBN : 1468423886
  • Language : En, Es, Fr & De
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The papers in this volume were presented at an International Symposium on Optimal Estimation in Approximation Theory which was held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976. The symposium was sponsored by the IBM World Trade Europe/Middle East/Africa Corporation, Paris, and IBM Germany. On behalf of all the participants we wish to express our appreciation to the spon sors for their generous support. In the past few years the quantification of the notion of com plexity for various important computational procedures (e. g. multi plication of numbers or matrices) has been widely studied. Some such concepts are necessary ingredients in the quest for optimal, or nearly optimal, algorithms. The purpose of this symposium was to present recent results of similar character in the field or ap proximation theory, as well as to describe the algorithms currently being used in important areas of application of approximation theory such as: crystallography, data transmission systems, cartography, reconstruction from x-rays, planning of radiation treatment, optical perception, analysis of decay processes and inertial navigation system control. It was the hope of the organizers that this con frontation of theory and practice would be of benefit to both groups. Whatever success th•~ symposium had is due, in no small part, to the generous and wise scientific counsel of Professor Helmut Werner, to whom the organizers are most grateful. Dr. T. J. Rivlin Dr. P. Schweitzer IBM T. J. Watson Research Center IBM Germany Scientific and Education Programs Yorktown Heights, N. Y.

Business Optimization Using Mathematical Programming

Business Optimization Using Mathematical Programming
An Introduction with Case Studies and Solutions in Various Algebraic Modeling Languages

by Josef Kallrath

  • Publisher : Springer Nature
  • Release : 2021
  • Pages : 129
  • ISBN : 3030732371
  • Language : En, Es, Fr & De
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This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.

Nonconvex Optimization in Mechanics

Nonconvex Optimization in Mechanics
Algorithms, Heuristics and Engineering Applications by the F.E.M.

by E.S. Mistakidis,Georgios E. Stavroulakis

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-21
  • Pages : 288
  • ISBN : 1461558298
  • Language : En, Es, Fr & De
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Nonconvexity and nonsmoothness arise in a large class of engineering applica tions. In many cases of practical importance the possibilities offered by opti mization with its algorithms and heuristics can substantially improve the per formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-date scientific and technical literature so that to be able to work on research or engineering topics which are not directly covered here.

Numerical Python

Numerical Python
Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib

by Robert Johansson

  • Publisher : Apress
  • Release : 2018-12-24
  • Pages : 700
  • ISBN : 1484242467
  • Language : En, Es, Fr & De
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Leverage the numerical and mathematical modules in Python and its standard library as well as popular open source numerical Python packages like NumPy, SciPy, FiPy, matplotlib and more. This fully revised edition, updated with the latest details of each package and changes to Jupyter projects, demonstrates how to numerically compute solutions and mathematically model applications in big data, cloud computing, financial engineering, business management and more. Numerical Python, Second Edition, presents many brand-new case study examples of applications in data science and statistics using Python, along with extensions to many previous examples. Each of these demonstrates the power of Python for rapid development and exploratory computing due to its simple and high-level syntax and multiple options for data analysis. After reading this book, readers will be familiar with many computing techniques including array-based and symbolic computing, visualization and numerical file I/O, equation solving, optimization, interpolation and integration, and domain-specific computational problems, such as differential equation solving, data analysis, statistical modeling and machine learning. What You'll Learn Work with vectors and matrices using NumPy Plot and visualize data with Matplotlib Perform data analysis tasks with Pandas and SciPy Review statistical modeling and machine learning with statsmodels and scikit-learn Optimize Python code using Numba and Cython Who This Book Is For Developers who want to understand how to use Python and its related ecosystem for numerical computing.

Model Predictive Control of High Power Converters and Industrial Drives

Model Predictive Control of High Power Converters and Industrial Drives
A Book

by Tobias Geyer

  • Publisher : John Wiley & Sons
  • Release : 2017-02-28
  • Pages : 576
  • ISBN : 111901087X
  • Language : En, Es, Fr & De
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In this original book on model predictive control (MPC) for power electronics, the focus is put on high-power applications with multilevel converters operating at switching frequencies well below 1 kHz, such as medium-voltage drives and modular multi-level converters. Consisting of two main parts, the first offers a detailed review of three-phase power electronics, electrical machines, carrier-based pulse width modulation, optimized pulse patterns, state-of-the art converter control methods and the principle of MPC. The second part is an in-depth treatment of MPC methods that fully exploit the performance potential of high-power converters. These control methods combine the fast control responses of deadbeat control with the optimal steady-state performance of optimized pulse patterns by resolving the antagonism between the two. MPC is expected to evolve into the control method of choice for power electronic systems operating at low pulse numbers with multiple coupled variables and tight operating constraints it. Model Predictive Control of High Power Converters and Industrial Drives will enable to reader to learn how to increase the power capability of the converter, lower the current distortions, reduce the filter size, achieve very fast transient responses and ensure the reliable operation within safe operating area constraints. Targeted at power electronic practitioners working on control-related aspects as well as control engineers, the material is intuitively accessible, and the mathematical formulations are augmented by illustrations, simple examples and a book companion website featuring animations. Readers benefit from a concise and comprehensive treatment of MPC for industrial power electronics, enabling them to understand, implement and advance the field of high-performance MPC schemes.