SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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[26] V. Del Toro, Electric machines and power systems. Englewood Cliffs, NJ: Prentice-Hall, 1985. [27] A.E. Fitzgerald, Charles Kingsley, Jr., Electric machinery, 2 nd ed. New York: McGraw- Hill, 1961. [28] A.E. Fitzgerald, Charles Kingsley Jr., S.D. Umans, Electric machinery, 6 th ed. New York: McGraw-Hill, 2003. [29] J.D. Glover, M.S. Sarma, Power system analysis and design, 3 rd ed. Pacific Grove, CA: Wadsworth/Thomson Learning, 2002. [30] C. Gross, Electric machines. Boca Ratone: CRC Press, 2007. [31] D. Halliday, R. Resnick, J. Walker, Fundamentals of physics, 6 th ed. New York: John Wiley & Sons, 2001. [32] N.N. Hancock, Matrix analysis of electrical machinery, 2 nd ed. New York: Pergamon Press, 1974. [33] A. Hughes, Electric motors and drives: fundamentals, types, and applications, 3 rd ed. Boston: Newnes, 2006. [34] C.V. Jones, The unified theory of electrical machines. London: Butterworths, 1967. [35] P.C. Krause, O. Wasynczuk, S.D. Sudhoff, Analysis of electric machinery. New York: IEEE Press, 1995. [36] Werner Leonhard, Control of electrical drives. New York: Springer, 2001. [37] S.A. Nasar, L.E. Unnewehr, Electromechanics and electric machines. New York: John Wiley & Sons, 1979. [38] S.A. Nasar, Electric machines and power systems. New York: McGraw-Hill, 1995. [39] J.W. Nilsson, S.A. Riedel, Electric circuits, 6 th ed. Upper Saddle River, NJ: Prentice-Hall, 2001. [40] D.H. Braymer, A.C. Roe, Rewinding small motors, 3 rd ed. New York: McGraw-Hill, 1949. [41] P.C. Sen, Principles of electric machines and power electronics, 2 nd ed. New York: John Wiley & Sons, 1997. [42] Gordon R. Slemon, Electric machines and drives. Reading, MA: Addison-Wesley, 1992. [43] H.A. Toliyat, G.B. Kliman, eds., Handbook of electric motors, 2 nd ed. New York: Marcel Dekker, 2004. [44] F.T. Ulaby, Fundamentals of applied electromagnetics, 2004 media ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2004. 256
Control Systems, Linear Analysis [45] W.L. Brogan, Modern control theory, 3 rd ed. Upper Saddle River, NJ: Prentice Hall, 1991. [46] P.M. DeRusso, R.J. Roy, C.M. Close, A.A. Desrochers, State variables for engineers, 2 nd ed. New York: Wiley-Interscience, 1998. [47] George Ellis, Control system design guide: a practical guide. 3 rd ed. Amsterdam: Elsevier Academic Press, 2004. [48] George Ellis, Observers in control systems: a practical guide. San Diego, CA: Academic Press, 2002. [49] Bernard Friedland, Control system design: an introduction to state-space methods. Mineola, NY: Dover Publications, 1986. [50] M. Gopal, Digital control and state variable methods, 2 nd ed. New Delhi: Tata McGraw- Hill, 2003. [51] B.P. Lathi, Signal processing & linear systems. New York: Oxford University Press, 1998. [52] N.E. Leonard, W.S. Levine, Using Matlab to analyze and design control systems, 2 nd ed. Redwood City, CA: Addison-Wesley, 1995. [53] W.S. Levine, ed, The control handbook. Boca Ratone, FL; Piscataway, NJ: CRC Press; IEEE Press, 1996. [54] B. Shahian, M. Hassul, Control system design using MATLAB. Englewood Cliffs, NJ: Prentice-Hall, 1993. [55] R.L. Williams, II, D.A. Lawrence, Linear state-space control systems. Hoboken, NJ: John Wiley & Sons, 2007. [56] K. Ogata, State space analysis of control systems. Englewood Cliffs, NJ: Prentice-Hall, 1967. [57] K. Ogata, Modern control engineering, 4 th ed. Upper Saddle River, NJ: Prentice Hall, 2002. [58] M.S. Santina, A.R. Stubberud, G.H. Hostetter, Digital control system design, 2 nd ed. Fort Worth: Saunders College Publishing, 1994. [59] G.F. Franklin, J.D. Powell, M. Workman, Digital control of dynamic systems, 3 rd ed. Menlo Park, CA: Addison-Wesley, 1998. 257
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SENSORLESS FIELD ORIENTED CONTROL O
Page 3 and 4:
Table of Contents List of Figures..
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CHAPTER 5 - Field Oriented Control
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List of Figures Figure 2.1 - Radial
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Figure 3.29 - Arbitrary space vecto
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Figure 4.44 - ZS components of some
Page 13 and 14:
Figure C.13 - Single-turn full-pitc
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List of Symbols Symbol Meaning Unit
Page 17 and 18:
Abbreviations ACIM AC induction mot
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Superscripts * commanded value ref
Page 21 and 22:
CHAPTER 1 - Introduction Historical
Page 23 and 24:
vector theory to model a machine, w
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publications and magazines, and Int
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elationship between SVM and other P
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CHAPTER 2 - Fundamentals of Electri
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Preliminaries In reading the litera
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Taxonomy of Motors There is any num
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characteristics (the DC load curren
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torque component, sturdily construc
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Figure 2.7 - Cross sections of some
Page 41 and 42:
draw the line between the solenoida
Page 43 and 44:
These texts generally attribute the
Page 45 and 46:
N B A B Y x(t) (2.6) The induc
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extended to the rotational case lat
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present analysis). When this is tru
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Figure 2.16 - Components of total f
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As aforementioned a spatial analysi
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clear the meaning, but the reader i
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Figure 2.20 - Elementary brushless
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called the per-phase torque functio
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Expressing bEMF in terms of the bEM
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Equation (2.44) is the component of
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d R( r) ke( r) kt( r) sin( r) (2.
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General Electromechanical Models Th
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Figure 2.28 - Phase-variable simula
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Trapezoidal and Sinusoidal BPMS Mot
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Figure 2.29 - Back-EMF and drive cu
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Figure 2.31 - Back-EMF and drive cu
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3 KT Ke 2 (sinusoidal) K 2 K (tra
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control scheme must keep sinusoidal
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with misconceptions. The primary is
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Part I - Sinusoidal BPMS Motors wit
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grounded-neutral wye or delta conne
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N e f A ( ) i 2 N e f B ( ) i 2
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Figure 3.7 - Developed view at zero
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Figure 3.9 - Developed view showing
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Although Equations (3.6) or (3.7) a
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direction. The contributions always
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sinusoidal electrical variable will
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Figure 3.14 - Cross section of two
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3 N e (3.6): f ( , t) I p cos(
Page 103 and 104:
In the previous chapter the per-pha
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peak value is represented as an upp
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Figure 3.21 - Time relationship bet
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another and thus could be placed in
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more widely understood theory (such
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other methods, although it has clos
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The SV as a Vector The first facet
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j0 j0 j0 aˆ 1 0 1 bˆ j e e e
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j j ee 1 cos( ) (3.45) 2 3 j t x
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Notice that the amplitude of the MM
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Figure 3.27 - Equivalent MMF produc
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Ne 1 jj f , t i e i * e 2 2
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distribution that is cosinusoidal i
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3 Ne j t f Ie p 2 2 . This
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j set θ to anything. Taking the re
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epresent any physically-distributed
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lumped-parameter model in this repo
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x kCx (3.75) abc The set of varia
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phase variable axes; three axes in
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The component MMFs act away from th
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common choice is to force the power
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As an example, find the SV that cor
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the same magnitude, the projection
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Figure 3.32 - Arbitrary SV referenc
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universal and the choice of convent
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stator’s perspective and at R fr
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The potential discrepancy (p.108) w
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x cos( r) sin( r) xd x sin(
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It must be emphasized that we have
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in relative time like an oscillogra
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Part III - SV Theory Applied to Sin
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In Equation (3.135) Z has elements
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to use SV theory. It may be helpful
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Figure 3.42 - Coupling between d- a
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R R d R R v Ri Li j Li dt s
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current does not influence the valu
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d v Ri L i e dt d v Ri L i e
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Figure 3.47 - Simulation diagram fo
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e je ), and (2) it was demonstrate
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Overview of Voltage Source Inverter
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In addition to measuring voltages w
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then there would be periods during
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Figure 4.9 - Gating and POLE voltag
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Figure 4.11 - Ideal voltage wavefor
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inverter is called sine-triangle co
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and it offers the fastest dynamic r
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Figure 4.18 - Fundamental gain and
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In the literature this is called th
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voltage will be below (above) the b
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Figure 4.24 - Instantaneous phase-A
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Figure 4.26 - Base SVs showing the
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Figure 4.27 - Transformed voltage w
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also correspond to six-step squarew
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was fed to the SVM inverter as a SV
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Figure 4.31 - Temporal limit of inv
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Figure 4.34 - SVM overmodulation re
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Checking sextant s 23 again for thi
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SVM Implementation The block diagra
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has been made of using THI in the S
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different triplen signal would be i
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Similarly, when the modulation inde
Page 225 and 226: Summary and Conclusion The two-leve
Page 227 and 228: CHAPTER 5 - Field Oriented Control
Page 229 and 230: torque production; this is called d
Page 231 and 232: Figure 5.3 - Torque control of sinu
Page 233 and 234: obviously a change in perspective.
Page 235 and 236: Figure 5.9 - Comparison of referenc
Page 237 and 238: variables to the stationary referen
Page 239 and 240: Figure 5.13 - Torque control of sin
Page 241 and 242: To analyze a salient machine one mu
Page 243 and 244: Figure 5.16 - Torque functions: (a)
Page 245 and 246: Figure 5.19 - Buried permanent magn
Page 247 and 248: Figure 5.21 - Flux weakening in the
Page 249 and 250: appears that this is very much rela
Page 251 and 252: Stationary and Synchronous Regulato
Page 253 and 254: stationary regulator had. For compl
Page 255 and 256: This coupling can be mitigated by m
Page 257 and 258: educes to two independent circuits,
Page 259 and 260: D, some of the 120° methods are ap
Page 261 and 262: d d v Ri Ls i R dt dt The r
Page 263 and 264: section a state-space model for the
Page 265 and 266: Figure 6.6 - Full state feedback (o
Page 267 and 268: State-Space Model of BPMS Motor A s
Page 269 and 270: Figure 6.9 - FOC block diagram. The
Page 271 and 272: loop). A second way to implement th
Page 273 and 274: knowing the rotor position from ini
Page 275: [11] E. Clarke, Circuit analysis of
Page 279 and 280: [77] J.M.D. Murphy, F.G. Turnbull,
Page 281 and 282: Machine Modeling, Analysis [103] J.
Page 283 and 284: THI, SVM, SPWM [127] J.A. Houldswor
Page 285 and 286: Wisconsin-Madison. [Online]. Availa
Page 287 and 288: Angle Tracking [175] D. Morgan, “
Page 289 and 290: Appendix A - Elementary Electromagn
Page 291 and 292: L i (A.8) S SS S SR S SS SR (A.9
Page 293 and 294: First the self-flux-linkage of an i
Page 295 and 296: vAN R iA LM iA eA d v R i
Page 297 and 298: Figure B.3 - One-half of the flux p
Page 299 and 300: Equations (B.27) and (B.28) are for
Page 301 and 302: Fundamental Relationships Figure C.
Page 303 and 304: Figure C.3 - Sinusoidal winding den
Page 305 and 306: manufactured compared to the steppe
Page 307 and 308: phase winding of Figure C.4 will ha
Page 309 and 310: Distributed N Fp i 2 (C.5) Figu
Page 311 and 312: alanced machine only odd harmonics
Page 313 and 314: sinusoidal windings with a sinusoid
Page 315 and 316: 0, and since the direction of inte
Page 317 and 318: That the rotor-stator flux linkage
Page 319 and 320: Figure C.17 - Summary of rotor-stat
Page 321 and 322: Figure C.19 - Amplitudes of harmoni
Page 323 and 324: triangle with an amplitude whose nu
Page 325 and 326: Returning to Figure C.18 it is clea
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torque will describe the torque pro
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However, Equation (D.2) is incorrec
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the same order as the PS set (arran
Page 333 and 334:
Implications of the ZS Component Th
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Figure D.6 - Neutral voltage of loa
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3v 3e 3v v v v v v v 3v AM BM CM A
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components of source voltage sum to
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Equation (D.25) and instantaneous q
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If a ZS component could possibly be
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xA X1cos( t) X3cos(3 t) X5cos(5 t)
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Figure D.11 - 3-D base vectors of 1
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the Clarke transform is used. Howev
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Appendix E - Park Transforms This a
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Appendix F - Useful Mathematical Re
Page 355:
335
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