Tandem Cold Metal Rolling Mill Control

Using Practical Advanced Methods

By: John Pittner, Marwan A. Simaan

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Hardcover | 9 December 2010

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Hardcover
228 Pages

Dimensions(cm)
23.5 x 15.88 x 1.91

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This book deals with a novel and practical advanced method for control of tandem cold metal rolling processes based on the emerging state-dependent Riccati equation technique. After a short history of tandem cold rolling, various types of cold rolling processes are described. A basic mathematical model of the process is discussed, and the diverse conventional control methods are compared. A detailed treatment of the theoretical and practical aspects of the state-dependent algebraic Riccati equation technique is given, with specific details of the new procedure described and results of simulations performed to verify the control model and overall system performance with the new controller coupled to the process model included. These results and data derived from actual operating mills are compared showing the improvements in performance using the new method. Material is included which shows how the new technique can be extended to the control of a broad range of large-scale complex nonlinear processes.

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Introduction	p. 1
Objectives	p. 1
Historical Background	p. 2
Process Overview	p. 4
Mill and Strip Data	p. 6
Advantages of Continuous Tandem Cold Rolling	p. 7
Main Drives and Motors	p. 8
Subsequent Chapters	p. 9
References	p. 9
Process Model	p. 11
Mathematical Model	p. 11
Theoretical System Equations	p. 12
Specific Roll Force	p. 12
Work Roll Torque	p. 16
Forward Slip	p. 17
Interstand Tension Stress	p. 18
Output Thickness	p. 18
Interstand Time Delay	p. 18
Input Thickness	p. 19
Work Roll Actuator Position	p. 19
Work Roll Speed	p. 19
State and Output Equations	p. 19
Model Verification	p. 20
Operating Points	p. 21
Simulation Results	p. 22
Concluding Comments	p. 27
References	p. 32
Conventional Control	p. 33
Background	p. 33
Disturbances and Uncertainties	p. 34
Other Considerations	p. 37
Basic Conventional Concepts	p. 38
Non-Interactive Control	p. 39
Interstand Tension Control	p. 44
Strip Thickness Control	p. 46
An Illustrative Tandem Cold Mill Control Structure	p. 52
Examples of Conventional Control	p. 54
Conventional Control for Continuous Tandem Mills	p. 59
Eccentricity Control	p. 67
Automatic Flatness Control	p. 68
Causes of and Measurement of Deviations in Strip Flatness	p. 69
Actuators for Control of Strip Flatness	p. 72
Process Models for Control of Strip Flatness	p. 74
Flatness Controller	p. 76
Threading of the Mill	p. 78
Threading Speeds	p. 79
Control During Threading	p. 81
Concluding Comments	p. 82
References	p. 82
Advanced Control	p. 85
The Need for Advanced Control	p. 85
Linearization of the Process Model	p. 86
The H∞ Loop Shaping Approach	p. 94
Traditional Loop Shaping Technique	p. 94
Matrix Singular Values	p. 96
H∞ Loop Shaping	p. 97
Application to Tandem Cold Metal Rolling	p. 100
Comments	p. 103
An Observer-based Method for MIMO Control	p. 104
Observers for Linear Systems	p. 104
The Internal Model Principle	p. 106
Feedforward Techniques	p. 107
MIMO Controller for a Two-Stand Tandem Cold Mill	p. 108
Comments	p. 113
Concluding Comments	p. 114
References	p. 114
Advanced Control: The Augmented SDRE Technique	p. 117
Background	p. 117
The Linear Quadratic Regulator	p. 118
The Augmented SDRE Controller	p. 121
Theoretical Background	p. 122
Considerations for the Application to Tandem Cold Rolling	p. 125
Controller Configuration	p. 127
Eccentricity Compensation	p. 139
Brief Evaluation of Other Advanced Methods	p. 142
Simulations	p. 145
Verification of Performance	p. 146
Verification of the Output Thickness Estimate and the Independence of Operator Adjustments	p. 148
Verification of the Eccentricity Compensation	p. 153
Simulations Relating to the Continuous Process	p. 159
Comparison with Industrial Controllers	p. 166
Concluding Comments	p. 167
Appendix	p. 168
Defintions and Theorems	p. 168
Computation of Gradients	p. 170
Derivation of Relationships as Functions of the State Variables	p. 172
Derivation of the Necessary Conditions for Optimality	p. 173
References	p. 175
Main Drives and Motors	p. 177
Introduction	p. 177
The Multi-phase Cage Rotor Induction Motor	p. 177
The Rotating Magnetic Field	p. 178
Machine Torque	p. 181
Regenerative Operation	p. 184
Variable Speed Operation	p. 184
The Synchronous Motor	p. 187
Machine Torque	p. 188
Regenerative Operation	p. 190
Variable Speed Operation	p. 191
Main Drives	p. 192
Motor Drive Power Circuitry	p. 193
Drive Controller	p. 196
Motor and Drive Selection	p. 201
References	p. 202
Index	p. 203
Table of Contents provided by Ingram. All Rights Reserved.

Tandem Cold Metal Rolling Mill Control

Using Practical Advanced Methods

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Hardcover

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