Optimal Control of Induction Heating Processes  (English, Hardcover, Rapoport Edgar)

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.

Salient Features

• Introduces new approaches to solutions for optimal control problems in clear and concise language
• Demonstrates how to apply and use new optimization techniques for different types of induction heaters
• Describes the process and practically accepted solutions for its optimization
• Focuses on practical methods that can be used to solve real problems
• Includes detailed examples of practical industrial applications

Table of Contents
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