| Introduction to Theory and Industrial Application of Induction Heating Processes | p. 1 |
| Short Description of Operating Principles of Induction heaters on the Level of Basic Physical Laws | p. 1 |
| Basic Electromagnetic Phenomena in Induction Heating | p. 1 |
| Basic Thermal Phenomena in Induction Heating | p. 5 |
| Mathematical Modeling of Induction Heating Processes | p. 7 |
| Mathematical Modeling of Electromagnetic and Temperature Fields | p. 8 |
| Basic Model of the Induction Heating Process | p. 12 |
| Typical Industrial Applications and Fundamental Principles of Induction Mass Heating | p. 19 |
| Design Approaches of Induction Mass Heating | p. 25 |
| Technological Complex "Heater-Equipment for Metal Hot Working" | p. 29 |
| Technological and Economic Advantages of Induction Heating | p. 31 |
| References | p. 33 |
| Optimization Problems for Induction Heating Processes | p. 35 |
| Overview of Induction Heating Prior to Metal Hot Working Operations as a Process under Control | p. 35 |
| Cost Criteria | p. 38 |
| Mathematical Models of a Heating Process | p. 41 |
| Control Inputs | p. 45 |
| Constraints | p. 49 |
| Constraints on Control Inputs | p. 50 |
| Technological Constraints on Temperature Distribution during the Heating Process | p. 51 |
| Constraints Related to Specifics of Subsequent Metal Working Operations | p. 53 |
| Disturbances | p. 54 |
| Requirements of Final Temperature Distribution within Heated Workpieces | p. 57 |
| General Problem of Time-Optimal Control | p. 59 |
| Model Problems of Optimal Control Respective to Typical Cost Functions | p. 66 |
| Problem of Achieving Maximum Heating Accuracy | p. 66 |
| Problem of Minimum Power Consumption | p. 69 |
| References | p. 72 |
| Method for Computation of Optimal Processes for Induction Heating of Metals | p. 73 |
| Universal Properties of Temperature Distribution within Workpieces at End of Time-Optimal Induction Heating Processes | p. 73 |
| Extended Discussion on Properties of Final Temperature Distribution for Time-Optimal Induction Heating Processes | p. 79 |
| Typical Profiles of Final Temperature Distribution and Set of Equations for Computation of Optimal Control Parameters | p. 82 |
| Computational Technique for Time-Optimal Control Processes | p. 90 |
| Application of the Suggested Method to Model Problems Based on Typical Cost Functions | p. 97 |
| Examples | p. 101 |
| Solution of Time-Optimal Control Problem | p. 101 |
| Solution of Minimum Power Consumption Problem | p. 110 |
| General Problem of Parametrical Optimization of Induction Heating Processes | p. 111 |
| References | p. 116 |
| Optimal Control of Static Induction Heating Processes | p. 119 |
| Time-Optimal Control for Linear One-Dimensional Models of Static IHP with Consideration of Technological Restraints | p. 119 |
| General Overview of Optimal Heating Power Control | p. 120 |
| Power Control during the Holding Stage | p. 127 |
| Computational Technique for Optimal Heating Modes, Taking into Consideration Technological Constraints | p. 131 |
| Examples | p. 140 |
| Time-Optimal Problem, Taking into Consideration the Billet Transportation to Metal Forming Operation | p. 142 |
| Problem Statement | p. 142 |
| Computational Technique for the "Transportation" Problem of Time-Optimal Heating | p. 149 |
| Technological Constraints in "Transportation" Problem | p. 156 |
| Examples | p. 163 |
| Time-Optimal Heating under Incomplete Information with Respect to Controlled Systems | p. 165 |
| Problem Statement | p. 166 |
| Technique for Time-Optimal Problem Solution under Interval Uncertainties | p. 168 |
| Heating Process with Minimum Product Cost | p. 174 |
| Problem of Metal Scale Minimization | p. 176 |
| Overview of Optimal Heating Modes | p. 176 |
| Two-Parameter Power Control Algorithm of Scale Minimization | p. 178 |
| Minimization of Product Cost | p. 187 |
| Optimal Control of Multidimensional Linear Models of Induction Heating Processes | p. 192 |
| Linear Two-Dimensional Model of the Induction heating Process | p. 193 |
| Two-Dimensional Time-Optimal Control Problem | p. 198 |
| Time-Optimal Control of Induction Heating for Cylindrical Billets | p. 200 |
| Time-Optimal Control of Induction Heating of Rectangular-Shaped Workpieces | p. 215 |
| Surface Heat-Generating Sources | p. 215 |
| Optimization of Internal Source Heating | p. 231 |
| Exploration of Three-Dimensional Optimization Problems for Induction Heating | p. 236 |
| Optimal Control for Complicated Models of the Induction Heating Process | p. 240 |
| Overview | p. 240 |
| Approximate Method for Computation of the Optimal Induction Heating Process for Ferromagnetic Billets | p. 242 |
| Optimal Control for Numerical Models of Induction Heating Processes | p. 245 |
| References | p. 254 |
| Optimal Control of Progressive and Continuous Induction Heating Processes | p. 257 |
| Optimization of Continuous Heaters at Steady-State Operating Conditions | p. 258 |
| Overview of Typical Optimization Problems and Methods for Their Solution | p. 258 |
| Design of Minimum Length Inductor | p. 263 |
| Optimization of the Continuous Heating of Ferromagnetic Materials | p. 273 |
| Optimization of the Continuous Heating Process Controlled by a Power Supply Voltage | p. 281 |
| Optimization of Progressive Heaters at Steady-State Operating Conditions | p. 288 |
| Key Features of Optimization Problems for Progressive Heaters | p. 288 |
| Optimization of Induction Heater Design and Operating Modes | p. 290 |
| Optimal Control of a Single-Section Heater | p. 298 |
| Two-Position Control of Slab Induction Heating | p. 306 |
| References | p. 308 |
| Combined Optimization of Production Complex for Induction Billet Heating and Subsequent Metal Hot Forming Operations | p. 309 |
| Mathematical Models of Controlled Processes | p. 310 |
| General Problem of Optimization of a Technological Complex | p. 315 |
| Maximum Productivity Problem for an Industrial Complex "Induction heater-Extrusion Press" | p. 317 |
| Multiparameter Statement of the Optimization Problem for Technological Complex "Heating-Hot Forming" | p. 322 |
| Combined Optimization of Heating and Pressing Modes for Aluminum Alloy Billets | p. 325 |
| Time-Optimal Heating Modes | p. 325 |
| Time-Optimal Pressing Modes | p. 325 |
| Temperature Distribution within Pressurized Metal | p. 327 |
| Optimal Program of Extrusion Speed Variation | p. 329 |
| Computational Results | p. 330 |
| Optimization of Billet Gradient Heating | p. 332 |
| About Optimal IHI Design in Technological Complex "Heating-Hot Forming" | p. 334 |
| References | p. 339 |
| Conclusion | p. 341 |
| Index | p. 343 |
| Table of Contents provided by Ingram. All Rights Reserved. |
