Optimal Control of Induction Heating Processes (Google eBook)

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CRC Press, Jul 7, 2006 - Technology & Engineering - 349 pages
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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.

  

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Contents

Introduction to Theory and Industrial Application of Induction Heating Processes
1
112 BASIC THERMAL PHENOMENA IN INDUCTION HEATING
5
12 MATHEMATICAL MODELING OF INDUCTION HEATING PROCESSES
7
121 MATHEMATICAL MODELING OF ELECTROMAGNETIC AND TEMPERATURE FIELDS
8
122 BASIC MODEL OF THE INDUCTION HEATING PROCESS
12
13 TYPICAL INDUSTRIAL APPLICATIONS AND FUNDAMENTAL PRINCIPLES OF INDUCTION MASS HEATING
19
14 DESIGN APPROACHES OF INDUCTION MASS HEATING
25
15 TECHNOLOGICAL COMPLEX HEATEREQUIPMENT FOR METAL HOT WORKING
29
431 PROBLEM STATEMENT
166
432 TECHNIQUE FOR TIMEOPTIMAL PROBLEM SOLUTION UNDER INTERVAL UNCERTAINTIES
168
44 HEATING PROCESS WITH MINIMUM PRODUCT COST
174
441 PROBLEM OF METAL SCALE MINIMIZATION
176
4412 TwoParameter Power Control Algorithm of Scale Minimization
178
442 MINIMIZATION OF PRODUCT COST
187
45 OPTIMAL CONTROL OF MULTIDIMENSIONAL LINEAR MODELS OF INDUCTION HEATING PROCESSES
192
451 LINEAR TWODIMENSIONAL MODEL OF THE INDUCTION HEATING PROCESS
193

16 TECHNOLOGICAL AND ECONOMIC ADVANTAGES OF INDUCTION HEATING
31
REFERENCES
33
Optimization Problems for Induction Heating Processes
35
22 COST CRITERIA
38
23 MATHEMATICAL MODELS OF A HEATING PROCESS
41
24 CONTROL INPUTS
45
25 CONSTRAINTS
49
251 CONSTRAINTS ON CONTROL INPUTS
50
252 TECHNOLOGICAL CONSTRAINTS ON TEMPERATURE DISTRIBUTION DURING THE HEATING PROCESS
51
253 CONSTRAINTS RELATED TO SPECIFICS OF SUBSEQUENT METAL WORKING OPERATIONS
53
26 DISTURBANCES
54
27 REQUIREMENTS OF FINAL TEMPERATURE DISTRIBUTION WITHIN HEATED WORKPIECES
57
28 GENERAL PROBLEM OF TIMEOPTIMAL CONTROL
59
29 MODEL PROBLEMS OF OPTIMAL CONTROL RESPECTIVE TO TYPICAL COST FUNCTIONS
66
292 PROBLEM OF MINIMUM POWER CONSUMPTION
69
REFERENCES
72
Method for Computation of Optimal Processes for Induction Heating of Metals
73
32 EXTENDED DISCUSSION ON PROPERTIES OF FINAL TEMPERATURE DISTRIBUTION FOR TIMEOPTIMAL INDUCTION HEATING PR...
79
33 TYPICAL PROFILES OF FINAL TEMPERATURE DISTRIBUTION AND SET OF EQUATIONS FOR COMPUTATION OF OPTIMAL CONTR...
82
34 COMPUTATIONAL TECHNIQUE FOR TIME OPTIMAL CONTROL PROCESSES
90
35 APPLICATION OF THE SUGGESTED METHOD TO MODEL PROBLEMS BASED ON TYPICAL COST FUNCTIONS
97
36 EXAMPLES
101
362 SOLUTION OF MINIMUM POWER CONSUMPTION PROBLEM
110
37 GENERAL PROBLEM OF PARAMETRICAL OPTIMIZATION OF INDUCTION HEATING PROCESSES
111
REFERENCES
116
A Optimal Control of Static Induction Heating Processes
119
411 GENERAL OVERVIEW OF OPTIMAL HEATING POWER CONTROL
120
412 POWER CONTROL DURING THE HOLDING STAGE
127
413 COMPUTATIONAL TECHNIQUE FOR OPTIMAL HEATING MODES TAKING INTO CONSIDERATION TECHNOLOGICAL CONSTRAIN...
131
414 EXAMPLES
140
42 TIMEOPTIMAL PROBLEM TAKING INTO CONSIDERATION THE BILLET TRANSPORTATION TO METAL FORMING OPERATION
142
422 COMPUTATIONAL TECHNIQUE FOR THE TRANSPORTATION PROBLEM OF TIMEOPTIMAL HEATING
149
423 TECHNOLOGICAL CONSTRAINTS IN TRANSPORTATION PROBLEM
156
424 EXAMPLES
163
43 TIMEOPTIMAL HEATING UNDER INCOMPLETE INFORMATION WITH RESPECT TO CONTROLLED SYSTEMS
165
452 TWODIMENSIONAL TIMEOPTIMAL CONTROL PROBLEM
198
453 TIMEOPTIMAL CONTROL OF INDUCTION HEATING FOR CYLINDRICAL BILLETS
200
454 TIMEOPTIMAL CONTROL OF INDUCTION HEATING OF RECTANGULARSHAPED WORKPIECES
215
4542 Optimization of Internal Source Heating
231
4543 Exploration of ThreeDimensional Optimization Problems for Induction Heating
236
46 OPTIMAL CONTROL FOR COMPLICATED MODELS OF THE INDUCTION HEATING PROCESS
240
462 APPROXIMATE METHOD FOR COMPUTATION OF THE OPTIMAL INDUCTION HEATING PROCESS FOR FERROMAGNETIC BILLETS
242
463 OPTIMAL CONTROL FOR NUMERICAL MODELS OF INDUCTION HEATING PROCESSES
245
REFERENCES
254
T Optimal Control of Progressive and Continuous Induction Heating Processes
257
51 OPTIMIZATION OF CONTINUOUS HEATERS AT STEADYSTATE OPERATING CONDITIONS
258
512 DESIGN OF MINIMUM LENGTH INDUCTOR
263
513 OPTIMIZATION OF THE CONTINUOUS HEATING OF FERROMAGNETIC MATERIALS
273
514 OPTIMIZATION OF THE CONTINUOUS HEATING PROCESS CONTROLLED BY A POWER SUPPLY VOLTAGE
281
52 OPTIMIZATION OF PROGRESSIVE HEATERS AT STEADYSTATE OPERATING CONDITIONS
288
522 OPTIMIZATION OF INDUCTION HEATER DESIGN AND OPERATING MODES
290
523 OPTIMAL CONTROL OF A SINGLESECTION HEATER
298
524 TWOPOSITION CONTROL OF SLAB INDUCTION HEATING
306
REFERENCES
308
Combined Optimization of Production Complex for Induction Billet Heating and Subsequent Metal Hot Forming Operations
309
61 MATHEMATICAL MODELS OF CONTROLLED PROCESSES
310
62 GENERAL PROBLEM OF OPTIMIZATION OF A TECHNOLOGICAL COMPLEX
315
63 MAXIMUM PRODUCTIVITY PROBLEM FOR AN INDUSTRIAL COMPLEX INDUCTION HEATEREXTRUSION PRESS
317
64 MULTIPARAMETER STATEMENT OF THE OPTIMIZATION PROBLEM FOR TECHNOLOGICAL COMPLEX HEATINGHOT FORMING
322
65 COMBINED OPTIMIZATION OF HEATING AND PRESSING MODES FOR ALUMINUM ALLOY BILLETS
325
6521 Temperature Distribution within Pressurized Metal
327
6522 Optimal Program of Extrusion Speed Variation
329
653 Computational Results
330
6531 Optimization of Billet Gradient Heating
332
TECHNOLOGICAL COMPLEX HEATINGHOT FORMING
334
REFERENCES
339
Conclusion
341
Index
343
Copyright

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