Control design techniques in power electronics devices

Title:

Personal Author:

Sira Ramirez, Hebertt J.

Series:

Power systems

Publication Information:

London : Springer, 2006

ISBN:

9781846284588

Subject Term:

Electronic control

Electronic controllers -- Design and construction

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Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010162749	TK7881.2 S57 2006	Open Access Book	Book	Searching... Unknown

Control Design Techniques in Power Electronics Devices deals specifically with control theories relevant to the design of switched power electronics, for the most part, DC-DC converters and supplies, rectifiers of different kinds and inverters with varying topologies. The theoretical methods for designing controllers in linear and nonlinear systems are accompanied by case studies and examples showing their application. The book is introduced through the important topic of modeling switched power electronics as controlled dynamical systems. There are circuit layouts, schematics and actual closed-loop control responses, generated by applying the theory, from a representative group of the plants under discussion.

Among the control theories which feature in the book are: sliding mode control, feedback control by means of approximate linearization and nonlinear control design methods.

This monograph will be of interest to researchers, tutors and students in power systems and their related control problems.

Author Notes

Hebertt Sira-Ramirez has published his work in 4 books, 20 book chapters, many of them in Springer-Verlag volumes, 114 journal publications in credited, refereed, journals and over 192 specialized international conferences. He obtained his MSEE and his PhD, both from the Massachusetts Institute of Technology (Cambridge, USA) in 1972 and 1977, respectively. He worked as a professor, and researcher, for 28 years at the Universidad de Los Andes in Merida, Venezuela, and has worked for the last 7 years in a Scientific Research Institute in Mexico City (Cinvestav-IPN). He is a member of the IFAC Technical Committee on Non-Linear Control Systems.

1 Introduction	p. 1
Part I Modelling
2 Modelling of DC-to-DC Power Converters	p. 11
2.1 Introduction	p. 11
2.2 The Buck Converter	p. 13
2.2.1 Model of the Converter	p. 14
2.2.2 Normalization	p. 15
2.2.3 Equilibrium Point and Static Transfer Function	p. 16
2.2.4 A Buck Converter Prototype	p. 18
2.3 The Boost Converter	p. 20
2.3.1 Model of the Converter	p. 22
2.3.2 Normalization	p. 23
2.3.3 Equilibrium Point and Static Transfer Function	p. 23
2.3.4 Alternative Model of the Boost Converter	p. 24
2.3.5 A Boost Converter Prototype	p. 25
2.4 The Buck-Boost Converter	p. 27
2.4.1 Model of the Converter	p. 27
2.4.2 Normalization	p. 28
2.4.3 Equilibrium Point and Static Transfer Function	p. 29
2.4.4 A Buck-Boost Converter Prototype	p. 30
2.5 The Non-inverting Buck-Boost Converter	p. 31
2.5.1 Model of the Converter	p. 31
2.5.2 Normalization	p. 32
2.5.3 Equilibrium Point and Static Transfer Function	p. 33
2.6 The Cúk Converter	p. 34
2.6.1 Model of the Converter	p. 35
2.6.2 Normalization	p. 36
2.6.3 Equilibrium Point and Static Transfer Function	p. 37
2.7 The Sepic Converter	p. 38
2.7.1 Model of the Converter	p. 39
2.7.2 Normalization	p. 39
2.7.3 Equilibrium Point and Static Transfer Function	p. 40
2.8 The Zeta Converter	p. 41
2.8.1 Model of the Converter	p. 41
2.8.2 Normalization	p. 43
2.8.3 Equilibrium Point and Static Transfer Function	p. 43
2.9 The Quadratic Buck Converter	p. 44
2.9.1 Model of the Converter	p. 44
2.9.2 Normalized Model	p. 45
2.9.3 Equilibrium Point	p. 45
2.9.4 Static Transfer Function	p. 46
2.10 The Boost-Boost Converter	p. 46
2.10.1 Model of the Boost-Boost Converter	p. 47
2.10.2 Average Normalized Model	p. 47
2.10.3 Equilibrium Point and Static Transfer Function	p. 47
2.10.4 Alternative Model of the Boost-Boost Converter	p. 49
2.10.5 A Boost-Boost Converter Experimental Prototype	p. 50
2.11 The Double Buck-Boost Converter	p. 50
2.11.1 Model of the Double Buck-Boost Converter	p. 51
2.11.2 Average Normalized Model	p. 51
2.11.3 Equilibrium Point and Static Transfer Function	p. 51
2.12 Power Converter Models with Non-ideal Components	p. 52
2.13 A General Mathematical Model for Power Electronics Devices	p. 54
2.13.1 Some Illustrative Examples of the General Model	p. 56
Part II Controller Design Methods
3 Sliding Mode Control	p. 61
3.1 Introduction	p. 61
3.2 Variable Structure Systems	p. 62
3.2.1 Control of Single Switch Regulated Systems	p. 62
3.2.2 Sliding Surfaces	p. 64
3.2.3 Notation	p. 65
3.2.4 Equivalent Control and the Ideal Sliding Dynamics	p. 65
3.2.5 Accessibility of the Sliding Surface	p. 67
3.2.6 Invariance Conditions for Matched Perturbations	p. 69
3.3 Control of the Boost Converter	p. 71
3.3.1 Direct Control	p. 71
3.3.2 Indirect Control	p. 72
3.3.3 Simulations	p. 74
3.3.4 Experimental Implementation	p. 75
3.4 Control of the Buck-Boost Converter	p. 78
3.4.1 Direct Control	p. 79
3.4.2 Indirect Control	p. 80
3.4.3 Simulations	p. 81
3.5 Control of the Cúk Converter	p. 82
3.5.1 Direct Control	p. 83
3.5.2 Indirect Control	p. 84
3.5.3 Simulations	p. 86
3.6 Control of the Zeta Converter	p. 87
3.6.1 Direct Control	p. 88
3.6.2 Indirect Control	p. 88
3.6.3 Simulations	p. 90
3.7 Control of the Quadratic Buck Converter	p. 91
3.7.1 Direct Control	p. 92
3.7.2 Indirect Control	p. 93
3.7.3 Simulations	p. 95
3.8 Multi-variable Case	p. 95
3.8.1 Sliding Surfaces	p. 97
3.8.2 Equivalent Control and Ideal Sliding Dynamics	p. 99
3.8.3 Invariance with Respect to Matched Perturbations	p. 100
3.8.4 Accessibility of the Sliding Surface	p. 101
3.9 Control of the Boost-Boost Converter	p. 102
3.9.1 Direct Control	p. 103
3.9.2 Indirect Control	p. 104
3.9.3 Simulations	p. 105
3.9.4 Experimental Sliding Mode Control Implementation	p. 105
3.10 Control of the Double Buck-Boost Converter	p. 108
3.10.1 Direct Control	p. 109
3.10.2 Indirect Control	p. 110
3.10.3 Simulations	p. 111
3.11 ¿ - ¿ Modulation	p. 112
3.11.1 ¿ - ¿ Modulators	p. 113
3.11.2 Average Feedbacks and ¿ - ¿ -Modulation	p. 115
3.11.3 A Hardware Realization of a ¿ - ¿-Modulator	p. 118
4 Approximate Linearization in the Control of Power Electronics Devices	p. 123
4.1 Introduction	p. 123
4.2 Linear Feedback Control	p. 124
4.2.1 Pole Placement by Full State Feedback	p. 124
4.2.2 Pole Placement Based on Observer Design	p. 126
4.2.3 Reduced Order Observers	p. 128
4.2.4 Flatness	p. 130
4.2.5 Generalized Proportional Integral Controllers	p. 133
4.2.6 Passivity Based Control	p. 136
4.2.7 A Hamiltonian Systems Viewpoint	p. 139
4.3 The Buck Converter	p. 142
4.3.1 Generalities about the Average Normalized Model	p. 142
4.3.2 Controller Design by Pole Placement	p. 144
4.3.3 Proportional-Derivative Control via State Feedback	p. 145
4.3.4 Trajectory Tracking	p. 146
4.3.5 Fliess' Generalized Canonical Forms	p. 150
4.3.6 State Feedback Control via Observer Design	p. 152
4.3.7 GPI Controller Design	p. 154
4.3.8 Passivity Based Control	p. 156
4.3.9 The Hamiltonian Systems Viewpoint	p. 159
4.3.10 Implementation of the Linear Passivity Based Control for the Buck Converter	p. 162
4.4 The Boost Converter	p. 168
4.4.1 Generalities about the Average Normalized Model	p. 168
4.4.2 Control via State Feedback	p. 172
4.4.3 Proportional-Derivative State Feedback Control	p. 174
4.4.4 Trajectory Tracking	p. 176
4.4.5 Fliess' Generalized Canonical Form	p. 181
4.4.6 State Feedback Control via Observer Design	p. 182
4.4.7 GPI Controller Design	p. 183
4.4.8 Passivity Based Control	p. 185
4.4.9 The Hamiltonian Systems Viewpoint	p. 187
4.5 The Buck-Boost Converter	p. 189
4.5.1 Generalities about the Model	p. 189
4.5.2 State Feedback Controller Design	p. 193
4.5.3 Dynamic Proportional-Derivative State Feedback Control	p. 195
4.5.4 Trajectory Tracking	p. 198
4.5.5 Fliess' Generalized Canonical Forms	p. 199
4.5.6 Control via Observer Design	p. 200
4.5.7 GPI Controller Design	p. 202
4.5.8 Passivity Based Control	p. 204
4.5.9 The Hamiltonian Systems Viewpoint	p. 205
4.5.10 Experimental Passivity based Control of the Buck-Boost Converter	p. 207
4.6 The Cúk Converter	p. 210
4.6.1 Generalities about the Model	p. 210
4.6.2 The Hamiltonian System Approach	p. 213
4.7 The Zeta Converter	p. 214
4.7.1 Generalities about the Model	p. 214
4.7.2 The Hamiltonian System Approach	p. 218
4.8 The Quadratic Buck Converter	p. 219
4.8.1 Generalities about the Model	p. 219
4.8.2 State Feedback Controller Design	p. 223
4.8.3 The Hamiltonian System Approach	p. 227
4.9 The Boost-Boost Converter	p. 229
4.9.1 Generalities about the Model	p. 229
4.9.2 The Hamiltonian System Approach	p. 233
5 Nonlinear Methods in the Control of Power Electronics Devices	p. 235
5.1 Introduction	p. 235
5.2 Feedback Linearization	p. 236
5.2.1 Isidori's Canonical Form	p. 236
5.2.2 Input-Output Feedback Linearization	p. 238
5.2.3 State Feedback Linearization	p. 240
5.2.4 The Boost Converter	p. 243
5.2.5 The Buck-Boost Converter	p. 246
5.2.6 The Cúk Converter	p. 249
5.2.7 The Sepic Converter	p. 254
5.2.8 The Zeta Converter	p. 258
5.2.9 The Quadratic Buck Converter	p. 261
5.3 Passivity Based Control	p. 261
5.3.1 The Boost Converter	p. 263
5.3.2 The Buck-Boost Converter	p. 266
5.3.3 The Cúk Converter	p. 269
5.3.4 The Sepic Converter	p. 272
5.3.5 The Zeta Converter	p. 274
5.3.6 The Quadratic Back Converter	p. 279
5.4 Exact Error Dynamics Passive Output Feedback Control	p. 282
5.4.1 A General Result	p. 282
5.4.2 The Boost Converter	p. 286
5.4.3 Experimental Implementation	p. 288
5.4.4 The Buck-Boost Converter	p. 291
5.4.5 The Cúk Converter	p. 293
5.4.6 The Sepic Converter	p. 294
5.4.7 The Zeta Converter	p. 298
5.4.8 The Quadratic Buck Converter	p. 301
5.4.9 The Boost-Boost Converter	p. 304
5.4.10 The Double Buck-Boost Converter	p. 306
5.5 Error Dynamics Passive Output Feedback	p. 309
5.5.1 The Boost Converter	p. 312
5.5.2 Experimental Results	p. 315
5.6 Control via Fliess' Generalized Canonical Form	p. 316
5.6.1 The Boost Converter	p. 317
5.6.2 The Buck-Boost Converter	p. 322
5.6.3 The Quadratic Buck Converter	p. 326
5.7 Nonlinear Observers for Power Converters	p. 331
5.7.1 Full Order Observers	p. 331
5.7.2 The Boost Converter	p. 333
5.7.3 The Buck-Boost Converter	p. 335
5.8 Reduced Order Observers	p. 337
5.8.1 The Boost Converter	p. 337
5.8.2 The Buck-Boost Converter	p. 341
5.9 GPI Sliding Mode Control	p. 343
5.9.1 The Buck Converter	p. 344
5.9.2 The Boost Converter	p. 350
5.9.3 The Buck-Boost Converter	p. 355
Part III Applications
6 DC-to-AC Power Conversion	p. 361
6.1 Introduction	p. 361
6.2 Nominal Trajectories in DC-to-AC Power Conversion	p. 363
6.2.1 The Buck Converter	p. 363
6.2.2 Two-Sided E - A Modulation	p. 365
6.2.3 The Boost Converter	p. 366
6.2.4 The Buck-Boost Converter	p. 370
6.3 An Approximate Linearization Approach	p. 371
6.3.1 The Boost Converter	p. 371
6.3.2 The Buck-Boost Converter	p. 373
6.4 A Flatness Based Approach	p. 374
6.4.1 The Double Bridge Buck Converter	p. 374
6.4.2 The Boost Converter	p. 375
6.4.3 The Buck-Boost Converter	p. 376
6.5 A Sliding Mode Control Approach	p. 378
6.5.1 The Boost Converter	p. 378
6.5.2 A Feasible Indirect Input Current Tracking Approach	p. 378
6.6 Exact Tracking Error Dynamics Passive Output Feedback Control	p. 380
6.6.1 The Double Bridge Buck Converter	p. 380
6.6.2 The Boost Converter	p. 381
6.6.3 The Buck-Boost Converter	p. 383
7 AC Rectifiers	p. 385
7.1 Introduction	p. 385
7.2 Boost Unit Power Factor Rectifier	p. 386
7.2.1 Model of the Monophasic Boost Rectifier	p. 386
7.2.2 The Control Objectives	p. 387
7.2.3 Steady State Considerations	p. 387
7.2.4 Exact Open Loop Tracking Error Dynamics and Controller Design	p. 388
7.2.5 Simulations	p. 389
7.2.6 The Use of the Differential Flatness Property in the Passive Controller Design	p. 389
7.2.7 Simulations	p. 392
7.3 Three Phase Boost Rectifier	p. 392
7.3.1 The Three Phase Boost Rectifier Average Model	p. 393
7.3.2 A Static Passivity Based Controller	p. 395
7.3.3 Trajectory Planning	p. 395
7.3.4 Switched Implementation of the Average Design	p. 398
7.3.5 Simulations	p. 399
7.4 A Unit Power Factor Rectifier-DC Motor System	p. 400
7.4.1 The Combined Rectifier-DC Motor Model	p. 400
7.4.2 The Exact Tracking Error Dynamics Passive Output Feedback Controller	p. 403
7.4.3 Trajectory Generation	p. 403
7.4.4 Simulations	p. 405
7.5 A Three Phase Rectifier-DC Motor System	p. 408
7.5.1 The Combined Three Phase Rectifier DC Motor Model	p. 408
7.5.2 The Exact Tracking Error Dynamics Passive Output Feedback Controller	p. 409
7.5.3 Trajectory Generation	p. 410
7.5.4 Simulations	p. 412
References	p. 415
Index	p. 421

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Table of Contents