1st Edition

Optimal Control of Induction Heating Processes

By Edgar Rapoport, Yulia Pleshivtseva Copyright 2007
    370 Pages 132 B/W Illustrations
    by CRC Press

    This 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 optimization problems, the text features a variety of specific optimization examples for induction heater modes and designs, particularly those used in industrial applications. The book describes basic physical phenomena in induction heating and induction heating process (IHP) optimization problems as well as IHP mathematical models for practical use. It explains the fundamentals of the new exact method and the advantages it offers over other well-known methods.

    A sound introduction to the broad theory of optimal control, Optimal Control of Induction Heating Processes presents a clear and accessible approach to the modern design and control of practical, cost-effective induction heating processes. This book is ideal for all students, production managers, engineers, designers, scientists, and users of induction heating machinery who would like to study, design, and improve processes of induction mass heating.

    INTRODUCTION TO THEORY AND INDUSTRIAL APPLICATION OF INDUCTION HEATING PROCESSES
    Short Description of Operating Principles of Induction Heaters on the Level of Basic Physical Laws
    Mathematical modeling of Induction Heating Processes
    Typical Industrial Applications and Fundamental Principles of Induction Mass Heating
    Design Approaches of Induction Mass Heating
    Technological Complex “Heater–Equipment for Metal Hot Working”
    Technological and Economic Advantages of Induction Heating
     
    OPTIMIZATION PROBLEMS FOR INDUCTION HEATING PROCESSES
    Overview of Induction Heating Prior to Metal Hot Working Operations as a Process under Control
    Cost Criteria
    Mathematical Models of a Heating Process
    Control Inputs
    Constraints
    Disturbances
    Requirements of Final Temperature Distribution within Heated Workpieces
    General Problem of Time-Optimal Control
    Model Problems of Optimal Control Respective to Typical Cost Functions
    METHOD FOR COMPUTATION OF OPTIMAL PROCESSES FOR INDUCTION HEATING OF METALS
    Universal Properties of Temperature Distribution within Workpieces at End of Time-Optimal Induction Heating Processes
    Extended Discussion on Properties of Final Temperature Distribution for Time-Optimal Induction Heating Processes
    Typical Profiles of Final Temperature Distribution and Set of Equations for Computation of Optimal Control Parameters
    Computational Technique for Time-Optimal Control Processes
    Application of Suggested Method to Model Problems Based on Typical Cost Functions
    Examples
    General Problem of Parametrical Optimization of Induction Heating Processes
     
    OPTIMAL CONTROL OF THE STATIC INDUCTION HEATING PROCESSES
    Time-Optimal Control for Linear One-Dimensional Models of Static IHP with Consideration of Technological Restraints
    Time-Optimal Problem, Taking into Consideration Billet Transportation to Metal Forming Operation
    Time-Optimal Heating under Incomplete Information with Respect to Controlled System
    Heating Process with Minimum Product Cost
    Optimal Control of Multidimensional Linear Models of Induction Heating Processes
    Optimal Control for Complicated Models of the Induction Heating Process
     
    OPTIMAL CONTROL OF PROGRESSIVE AND CONTINUOUS INDUCTION HEATING PROCESSES
    Optimization of Continuous Heaters at Steady-State Operating Conditions
    Optimization of Progressive Heaters at Steady-State Operating Conditions
    COMBINED OPTIMIZATION OF PRODUCTION COMPLEX FOR INDUCTION BILLET HEATING AND SUBSEQUENT METAL HOT FORMING OPERATIONS
    Mathematical Models of Controlled Processes
    General Problem of Optimization of a Technological Complex
    Maximum Productivity Problem for an Industrial Complex “Induction Heater–Extrusion Press”
    Multiparameter Statement of the Optimization Problem for Technological Complex “Heating–Hot Forming”
    Combined Optimization of Heating and Pressing Modes for Aluminum Alloy Billets
        About Optimal IHI Design in Technological Complex “Heating — Hot Forming”
    Conclusion
    Index
    *Each chapter contains References for further study

    Biography

    Edgar Rapoport, Yulia Pleshivtseva