| Foreword |
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xiii | |
| Introduction |
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xvii | |
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Chapter 1 Sensors and Electrical Measurements |
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1 | (24) |
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2 | (5) |
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2 | (1) |
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3 | (3) |
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1.1.3 Incremental encoder |
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6 | (1) |
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1.2 The velocity measurement |
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7 | (2) |
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1.2.1 Method of the frequency counter |
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7 | (1) |
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1.2.2 Method of the period measurement |
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8 | (1) |
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9 | (5) |
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1.4 The isolated measurement |
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14 | (1) |
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1.4.1 The isolated ammeter |
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14 | (1) |
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1.4.2 The isolated voltmeter |
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15 | (1) |
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15 | (1) |
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1.6 The analog to digital converter |
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16 | (5) |
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1.6.1 Principle of the flash converter |
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17 | (1) |
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1.6.2 Principle of the successive approximation converter |
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18 | (1) |
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1.6.3 The zero-order hold |
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18 | (1) |
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19 | (1) |
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1.6.5 Principle of converter using slope(s) |
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20 | (1) |
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1.7 The digital-to-analog converter |
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21 | (1) |
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22 | (1) |
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1.9 The arithmetic logic unit |
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22 | (1) |
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1.10 Real time or abuse language |
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23 | (1) |
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24 | (1) |
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Chapter 2 Analog, Numerical Control |
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25 | (34) |
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2.1 Structure of a regulator |
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25 | (1) |
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2.2 Stability of a system |
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26 | (4) |
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26 | (1) |
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27 | (1) |
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2.2.3 A graphical criterion |
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28 | (1) |
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2.2.4 The stability criterion |
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29 | (1) |
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30 | (1) |
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2.3.1 The initial and final value |
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30 | (1) |
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2.3.2 The precision of systems |
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31 | (1) |
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2.4 Correction of systems |
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31 | (3) |
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2.4.1 The lag and lead corrector |
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32 | (1) |
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33 | (1) |
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34 | (1) |
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2.5.1 First harmonic method |
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34 | (1) |
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2.5.2 The oscillation stability |
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34 | (1) |
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2.6 Practical method of identification and control |
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35 | (1) |
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35 | (1) |
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2.6.2 Ziegler's and Nichols's method |
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36 | (1) |
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2.7 The digital correctors |
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36 | (9) |
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36 | (1) |
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37 | (1) |
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2.7.3 The Z-transform of a function |
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38 | (1) |
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2.7.4 Advanced Z-transform |
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39 | (1) |
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2.7.5 The Z-transform of a loop |
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40 | (1) |
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41 | (1) |
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2.7.6.1 The initial and final value |
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41 | (1) |
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2.7.6.2 The recurrence relation |
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41 | (1) |
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2.7.6.3 The fraction expansion |
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42 | (1) |
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2.7.7 The Jury stability criterion |
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42 | (1) |
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2.7.8 Stability: graphical criterion |
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43 | (1) |
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2.7.8.1 The bilinear transform |
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44 | (1) |
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2.7.8.2 The formal criterion |
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44 | (1) |
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2.7.8.3 The graphical criterion |
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45 | (1) |
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2.8 Classical controllers |
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45 | (7) |
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46 | (1) |
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2.8.2 The PI anti-windup structure |
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46 | (2) |
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2.8.3 Conversion of an analog controller to a digital controller |
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48 | (1) |
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2.8.3.1 Approximation of the integrator |
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48 | (1) |
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2.8.3.2 Use of the bilinear transform |
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49 | (3) |
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2.9 Disadvantages of digital controller |
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52 | (7) |
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2.9.1 Choice of the sampling period |
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52 | (1) |
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53 | (1) |
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2.9.2.1 Reminder of some concepts |
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53 | (1) |
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2.9.2.2 Quantization by truncation |
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53 | (1) |
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2.9.2.3 Quantization by rounding |
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54 | (1) |
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2.9.2.4 Quantization of a product using two's complement |
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55 | (1) |
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2.9.2.5 Quantization of a product by truncation |
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56 | (1) |
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2.9.2.6 The signal-to-quantization noise ratio |
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57 | (1) |
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2.9.3 Cycles limits and limitations |
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58 | (1) |
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Chapter 3 Models of Asynchronous Machines |
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59 | (78) |
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59 | (7) |
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3.1.1 The electromagnetic torque |
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62 | (1) |
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3.1.2 The equivalent scheme |
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63 | (3) |
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3.2 The squirrel cage induction motor |
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66 | (16) |
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3.2.1 The stator inductances |
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67 | (2) |
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3.2.2 The stator mutual inductances |
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69 | (1) |
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3.2.3 The rotor inductances |
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70 | (2) |
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3.2.4 The rotor mutual inductances |
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72 | (1) |
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3.2.5 The stator-rotor mutual inductances |
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73 | (2) |
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3.2.6 The rotor voltage equations |
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75 | (1) |
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3.2.7 The voltage and mechanical equations |
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75 | (2) |
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3.2.8 Reduction of the model |
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77 | (5) |
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3.3 The static and dynamic behavior |
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82 | (17) |
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3.3.1 The steady state of the induction machine |
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82 | (1) |
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3.3.1.1 Assessment of the power |
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82 | (2) |
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3.3.1.2 Characteristics of the electromagnetic torque |
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84 | (4) |
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3.3.2 Some practical characteristics |
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88 | (4) |
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3.3.3 The dynamics of the induction motor |
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92 | (2) |
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3.3.3.1 No choice of reference frame |
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94 | (1) |
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3.3.3.2 Choice of rotor reference frame |
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94 | (1) |
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3.3.3.3 Choice of stator reference frame |
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95 | (1) |
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3.3.3.4 Choice of synchronous reference frame |
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95 | (1) |
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3.3.3.5 Arrangement of variables |
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96 | (2) |
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3.3.4 Some electromagnetic torque expressions |
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98 | (1) |
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3.4 Winding and induced harmonics |
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99 | (16) |
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3.4.1 Principle of the rotating field |
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100 | (3) |
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3.4.2 The effect of currents |
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103 | (1) |
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3.4.2.1 Effect of unbalanced currents |
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104 | (2) |
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3.4.2.2 Effect of non-sinusoidal currents |
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106 | (1) |
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3.4.2.3 Effect of non-sinusoidal winding |
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107 | (1) |
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3.4.2.4 Effect of harmonic components and winding |
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108 | (1) |
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108 | (1) |
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3.4.3.1 Single-layer winding |
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109 | (3) |
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3.4.3.2 Concentric and distributed winding |
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112 | (1) |
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3.4.3.3 Double-layer winding |
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113 | (2) |
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115 | (3) |
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3.5.1 The fundamental component of MMF |
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115 | (1) |
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3.5.2 Effect of harmonics due to slots |
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116 | (1) |
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3.5.3 Effect of harmonic components on the torque |
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117 | (1) |
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3.6 Variation in air-gap permeance |
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118 | (3) |
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3.6.1 Effect of the rotor and stator slots |
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119 | (1) |
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3.6.2 Effect of magnetic saturation |
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120 | (1) |
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3.6.3 Effect of eccentricity |
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120 | (1) |
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121 | (4) |
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3.7.1 The first harmonics approach |
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122 | (2) |
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3.7.2 Choice of the number of rotor bars in squirrel-cage induction |
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124 | (1) |
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3.8 Influence of rotor frequency |
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125 | (5) |
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3.8.1 One ideal rotor bar at null frequency |
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126 | (1) |
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3.8.1.1 Aspects of the rotor bar |
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126 | (1) |
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3.8.1.2 The aspect of the isthmus |
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127 | (1) |
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128 | (1) |
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3.8.2 One ideal rotor bar at non-null frequency |
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128 | (1) |
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3.8.2.1 The aspect of inductance |
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129 | (1) |
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3.8.2.2 The aspect of resistance |
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129 | (1) |
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129 | (1) |
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130 | (7) |
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131 | (1) |
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3.9.2 Static thermal model |
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132 | (2) |
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3.9.3 A dynamic hybrid thermal model |
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134 | (3) |
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Chapter 4 Speed Variation |
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137 | (136) |
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4.1 Cases of multiphase machines |
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137 | (27) |
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4.1.1 Motors with a high number of phases |
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138 | (1) |
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138 | (2) |
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140 | (1) |
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4.1.2 Interactions between harmonics |
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141 | (3) |
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4.1.3 Three-phase induction machine |
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144 | (1) |
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4.1.3.1 Three-phase model |
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144 | (2) |
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4.1.3.2 Application in another frame |
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146 | (5) |
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4.1.4 Five-phase induction machine |
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151 | (4) |
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4.1.5 Double-star induction motor |
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155 | (1) |
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4.1.5.1 Six-phase induction motor: version 1 |
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156 | (5) |
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4.1.5.2 Six-phase induction motor: version 2 |
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161 | (3) |
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4.2 Control of asynchronous motors |
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164 | (52) |
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4.2.1 The basic environment |
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166 | (1) |
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4.2.2 Scalar control: V/f |
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167 | (2) |
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4.2.3 Vector control: V/f |
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169 | (2) |
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4.2.3.1 A classical approach |
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171 | (1) |
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4.2.3.2 Variant without a speed sensor |
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172 | (3) |
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4.2.4 Direct torque control (DTC) |
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175 | (3) |
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178 | (3) |
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4.2.4.2 Strategy of vector choice |
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181 | (1) |
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182 | (2) |
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4.2.4.4 Three-level inverter |
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184 | (5) |
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4.2.4.5 Influence of voltage limitation |
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189 | (1) |
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4.2.4.6 The DTC-SVM approach |
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189 | (3) |
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4.2.4.7 Prediction of the torque ripple |
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192 | (1) |
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4.2.4.8 Application to a five-phase induction motor |
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193 | (1) |
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4.2.5 Direct self-control approach (DSC) |
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194 | (3) |
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4.2.6 Vector control: FOC |
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197 | (3) |
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4.2.6.1 Application to three-phase induction motors |
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200 | (3) |
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4.2.6.2 Application to five-phase induction motors |
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203 | (4) |
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4.2.6.3 Application to six-phase induction motors |
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207 | (1) |
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4.2.7 Control without a position sensor |
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208 | (1) |
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4.2.8 Exploitation of natural asymmetries |
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209 | (1) |
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4.2.8.1 The static and dynamic eccentricity |
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209 | (1) |
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4.2.8.2 The rotor slots effect |
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210 | (1) |
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4.2.8.3 The magnetic saturation effect |
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211 | (1) |
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4.2.8.4 The estimation of the velocity |
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211 | (2) |
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4.2.8.5 Spectrum estimation |
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213 | (1) |
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4.2.9 Estimation by high-frequency injection |
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213 | (3) |
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4.3 Identification of parameter aspects |
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216 | (11) |
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216 | (1) |
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217 | (2) |
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219 | (2) |
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221 | (1) |
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4.3.2.1 Principle of the method based on the model |
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221 | (1) |
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4.3.2.2 The gradient method |
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222 | (1) |
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4.3.2.3 The Newton-Raphson method |
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222 | (1) |
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4.3.2.4 The Marquardt-Levenberg method |
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222 | (1) |
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4.3.2.5 The genetic algorithm |
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223 | (2) |
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4.3.2.6 Identification of electrical and mechanical parameters |
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225 | (1) |
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226 | (1) |
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4.4 Voltage inverter converters |
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227 | (41) |
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4.4.1 Inverters using the pulse width modulation technique |
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227 | (1) |
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4.4.1.1 Two-level inverter |
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228 | (4) |
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232 | (1) |
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4.4.1.3 Three levels inverter |
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233 | (2) |
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4.4.1.4 Three-level inverter using clamped capacitor |
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235 | (1) |
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4.4.1.5 Four-level inverter |
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236 | (3) |
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4.4.1.6 Multi-levels inverter |
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239 | (4) |
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4.4.2 The inverters using the space vector modulation |
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243 | (2) |
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4.4.2.1 Application to the three-phase induction motor |
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245 | (4) |
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4.4.2.2 Application to the five-phase induction motor |
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249 | (4) |
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4.4.2.3 Application to the six-phase induction motor |
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253 | (4) |
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4.4.2.4 Multilevel aspect |
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257 | (4) |
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4.4.3 The matrix converter |
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261 | (2) |
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4.4.3.1 Direct matrix converter |
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263 | (3) |
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4.4.3.2 Indirect matrix converter |
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266 | (2) |
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4.5 Rectifiers based on the PWM |
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268 | (5) |
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4.5.1 Two-level rectifier |
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268 | (2) |
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4.5.2 Three-level rectifier |
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270 | (3) |
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Chapter 5 Tools of Fuzzy Logic |
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273 | (24) |
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273 | (1) |
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274 | (1) |
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275 | (5) |
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5.3.1 Definitions and norms |
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275 | (1) |
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276 | (1) |
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5.3.3 T-norm and T-conorm |
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276 | (1) |
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5.3.4 Membership functions |
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277 | (1) |
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278 | (2) |
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280 | (1) |
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5.4 Fuzzy logic controller |
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280 | (4) |
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5.5 Fuzzy and adaptive PI |
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284 | (11) |
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5.5.1 Examples of programs to calculate a fuzzy surface |
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286 | (1) |
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5.5.1.1 The layout of a fuzzy surface |
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286 | (1) |
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5.5.1.2 Routine of a PI-fuzzy controller |
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287 | (1) |
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5.5.2 Examples of application |
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288 | (1) |
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5.5.3 Examples of simulation results |
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289 | (1) |
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5.5.3.1 Controller based on a fuzzy PI |
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289 | (2) |
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5.5.3.2 A controller based on a fuzzy PID |
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291 | (1) |
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5.5.4 Examples of tables of rules |
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291 | (4) |
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295 | (2) |
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Chapter 6 Diagnostics and Signals Pointing to a Change |
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297 | (40) |
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6.1 Signals and measurements |
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298 | (1) |
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299 | (10) |
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6.2.1 Problems with broken bars |
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300 | (2) |
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6.2.2 Problems in the stator |
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302 | (2) |
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6.2.3 Problems due to eccentricities |
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304 | (3) |
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6.2.4 Problems due to speed ripples |
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307 | (1) |
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6.2.5 Problems with ball bearings |
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307 | (2) |
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309 | (8) |
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6.3.1 Fast Fourier transform analysis of the stator current |
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309 | (1) |
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6.3.2 Fast Fourier transform |
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309 | (2) |
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6.3.3 Discrete fast Fourier transform |
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311 | (1) |
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312 | (1) |
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6.3.4.1 The Hamming function |
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313 | (1) |
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6.3.4.2 The Hanning function |
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313 | (1) |
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6.3.4.3 The Blackmann function |
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313 | (1) |
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6.3.4.4 The Bartlett function |
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313 | (1) |
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6.3.4.5 The Kaiser function |
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313 | (1) |
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6.3.5 Sliding discrete fast Fourier transform |
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314 | (2) |
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316 | (1) |
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6.4 Some considerations regarding broken bar defects |
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317 | (5) |
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6.4.1 Model of the induction motor |
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317 | (1) |
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6.4.2 Inherent frequencies in the broken bar defect |
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318 | (2) |
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6.4.3 Evaluation of the magnitude of the left line |
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320 | (1) |
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6.4.4 Equivalent model in the steady state |
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320 | (2) |
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6.5 Evaluation of the severity of broken bars |
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322 | (15) |
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6.5.1 Some spectra results |
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322 | (4) |
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6.5.2 Evaluation of the severity of broken bars |
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326 | (1) |
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6.5.2.1 Analytical approach |
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326 | (2) |
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6.5.2.2 Artificial intelligence approach |
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328 | (2) |
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6.5.2.3 Self-extraction of signatures: an application of PSO |
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330 | (5) |
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6.5.3 Wireless communication |
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335 | (2) |
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Exercise No. 1 Fuzzy Logic |
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337 | (8) |
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1.1 Adaptive k and ki coefficients in function of the error |
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337 | (1) |
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1.2 Adaptive k and ki coefficients in function of the error and its derivative |
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338 | (1) |
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339 | (6) |
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Exercise No. 2 The Stator Defect |
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345 | (12) |
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2.1 Equations of the induction motor under stator defect |
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347 | (1) |
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2.2 Torque ripple due to a stator defect |
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348 | (1) |
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2.3 Fault current estimation |
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349 | (1) |
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2.4 Schematic model of three-phase induction motor under a stator defect |
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350 | (1) |
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351 | (6) |
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Exercise No. 3 The Control of Five-Phase Induction Motors |
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357 | (16) |
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3.1 The five-phase system |
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358 | (1) |
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3.2 Distribution of active currents |
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359 | (3) |
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362 | (2) |
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364 | (9) |
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Exercise No. 4 The Control of Serial Connected Induction Motors |
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373 | (12) |
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4.1 Study about the serial connection of two five-phase induction motors |
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374 | (1) |
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4.2 Study on the serial connection of several seven-phase induction motors |
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375 | (2) |
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4.3 Study on the serial connection of multi-phase induction motors |
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377 | (1) |
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378 | (7) |
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Exercise No. 5 Fault Detection of a Three-Phase Voltage Inverter Converter |
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385 | (8) |
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386 | (1) |
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387 | (2) |
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5.3 Monitoring of the DC component |
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389 | (1) |
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390 | (3) |
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Appendix. Some Mathematical Expressions |
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393 | (6) |
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393 | (1) |
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394 | (1) |
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395 | (1) |
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395 | (1) |
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A.5 Trigonometric identities |
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395 | (3) |
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396 | (1) |
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396 | (1) |
|
|
|
397 | (1) |
|
|
|
397 | (1) |
|
A.5.5 Sum of sinus and cosinus |
|
|
397 | (1) |
|
|
|
398 | (1) |
|
|
|
398 | (1) |
| Bibliography |
|
399 | (8) |
| Index |
|
407 | |