1st Edition
Optimal Control of Induction Heating Processes
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.
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