| |
| |
| |
| 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 | |
| |
| |
| |
| Basic Electromagnetic Phenomena in Induction Heating | |
| |
| |
| |
| Basic Thermal Phenomena in Induction Heating | |
| |
| |
| |
| Mathematical Modeling of Induction Heating Processes | |
| |
| |
| |
| Mathematical Modeling of Electromagnetic and Temperature Fields | |
| |
| |
| |
| Basic Model of the Induction Heating Process | |
| |
| |
| |
| 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 | |
| |
| |
| References | |
| |
| |
| |
| 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 | |
| |
| |
| |
| Constraints on Control Inputs | |
| |
| |
| |
| Technological Constraints on Temperature Distribution during the Heating Process | |
| |
| |
| |
| Constraints Related to Specifics of Subsequent Metal Working Operations | |
| |
| |
| |
| 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 | |
| |
| |
| |
| Problem of Achieving Maximum Heating Accuracy | |
| |
| |
| |
| Problem of Minimum Power Consumption | |
| |
| |
| References | |
| |
| |
| |
| 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 the Suggested Method to Model Problems Based on Typical Cost Functions | |
| |
| |
| |
| Examples | |
| |
| |
| |
| Solution of Time-Optimal Control Problem | |
| |
| |
| |
| Solution of Minimum Power Consumption Problem | |
| |
| |
| |
| General Problem of Parametrical Optimization of Induction Heating Processes | |
| |
| |
| References | |
| |
| |
| |
| Optimal Control of Static Induction Heating Processes | |
| |
| |
| |
| Time-Optimal Control for Linear One-Dimensional Models of Static IHP with Consideration of Technological Restraints | |
| |
| |
| |
| General Overview of Optimal Heating Power Control | |
| |
| |
| |
| Power Control during the Holding Stage | |
| |
| |
| |
| Computational Technique for Optimal Heating Modes, Taking into Consideration Technological Constraints | |
| |
| |
| |
| Examples | |
| |
| |
| |
| Time-Optimal Problem, Taking into Consideration the Billet Transportation to Metal Forming Operation | |
| |
| |
| |
| Problem Statement | |
| |
| |
| |
| Computational Technique for the "Transportation" Problem of Time-Optimal Heating | |
| |
| |
| |
| Technological Constraints in "Transportation" Problem | |
| |
| |
| |
| Examples | |
| |
| |
| |
| Time-Optimal Heating under Incomplete Information with Respect to Controlled Systems | |
| |
| |
| |
| Problem Statement | |
| |
| |
| |
| Technique for Time-Optimal Problem Solution under Interval Uncertainties | |
| |
| |
| |
| Heating Process with Minimum Product Cost | |
| |
| |
| |
| Problem of Metal Scale Minimization | |
| |
| |
| |
| Overview of Optimal Heating Modes | |
| |
| |
| |
| Two-Parameter Power Control Algorithm of Scale Minimization | |
| |
| |
| |
| Minimization of Product Cost | |
| |
| |
| |
| Optimal Control of Multidimensional Linear Models of Induction Heating Processes | |
| |
| |
| |
| Linear Two-Dimensional Model of the Induction heating Process | |
| |
| |
| |
| Two-Dimensional Time-Optimal Control Problem | |
| |
| |
| |
| Time-Optimal Control of Induction Heating for Cylindrical Billets | |
| |
| |
| |
| Time-Optimal Control of Induction Heating of Rectangular-Shaped Workpieces | |
| |
| |
| |
| Surface Heat-Generating Sources | |
| |
| |
| |
| Optimization of Internal Source Heating | |
| |
| |
| |
| Exploration of Three-Dimensional Optimization Problems for Induction Heating | |
| |
| |
| |
| Optimal Control for Complicated Models of the Induction Heating Process | |
| |
| |
| |
| Overview | |
| |
| |
| |
| Approximate Method for Computation of the Optimal Induction Heating Process for Ferromagnetic Billets | |
| |
| |
| |
| Optimal Control for Numerical Models of Induction Heating Processes | |
| |
| |
| References | |
| |
| |
| |
| Optimal Control of Progressive and Continuous Induction Heating Processes | |
| |
| |
| |
| Optimization of Continuous Heaters at Steady-State Operating Conditions | |
| |
| |
| |
| Overview of Typical Optimization Problems and Methods for Their Solution | |
| |
| |
| |
| Design of Minimum Length Inductor | |
| |
| |
| |
| Optimization of the Continuous Heating of Ferromagnetic Materials | |
| |
| |
| |
| Optimization of the Continuous Heating Process Controlled by a Power Supply Voltage | |
| |
| |
| |
| Optimization of Progressive Heaters at Steady-State Operating Conditions | |
| |
| |
| |
| Key Features of Optimization Problems for Progressive Heaters | |
| |
| |
| |
| Optimization of Induction Heater Design and Operating Modes | |
| |
| |
| |
| Optimal Control of a Single-Section Heater | |
| |
| |
| |
| Two-Position Control of Slab Induction Heating | |
| |
| |
| References | |
| |
| |
| |
| 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 | |
| |
| |
| |
| Time-Optimal Heating Modes | |
| |
| |
| |
| Time-Optimal Pressing Modes | |
| |
| |
| |
| Temperature Distribution within Pressurized Metal | |
| |
| |
| |
| Optimal Program of Extrusion Speed Variation | |
| |
| |
| |
| Computational Results | |
| |
| |
| |
| Optimization of Billet Gradient Heating | |
| |
| |
| |
| About Optimal IHI Design in Technological Complex "Heating-Hot Forming" | |
| |
| |
| References | |
| |
| |
| Conclusion | |
| |
| |
| Index | |