Foreword |
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xiii | |
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Foreword |
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xv | |
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Acknowledgements |
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xvii | |
Introduction |
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xix | |
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1 | (64) |
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1.1 Electrical Equations and Equivalent Circuits |
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1 | (8) |
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1.1.1 Definitions and Notation |
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1 | (1) |
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1.1.2 Equivalent Electrical Circuits |
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2 | (2) |
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1.1.3 Differential Equation System |
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4 | (2) |
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1.1.4 Interpretation of Electrical Relations |
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6 | (3) |
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1.2 Working out the State-Space Equation System |
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9 | (13) |
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1.2.1 State-Space Equations in the Fixed Plane |
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11 | (3) |
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1.2.2 State-Space Equations in the Complex Plane |
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14 | (1) |
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1.2.3 Complex State-Space Equation Discretization |
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15 | (2) |
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1.2.4 Evolution Matrix Diagonalization |
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17 | (1) |
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17 | (1) |
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1.2.4.2 Transfer Matrix Algebraic Calculation |
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18 | (1) |
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1.2.4.3 Transfer Matrix Inversion |
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19 | (1) |
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1.2.5 Projection of State-Space Vectors in the Eigenvector Basis |
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20 | (2) |
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1.3 Discretized State-Space Equation Inversion |
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22 | (9) |
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1.3.1 Introduction of the Rotating Frame |
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22 | (1) |
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1.3.2 State-Space Vector Calculations in the Eigenvector Basis |
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23 | (7) |
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1.3.3 Control Calculation - Eigenstate-Space Equation System Inversion |
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30 | (1) |
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31 | (32) |
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1.4.1 Constitution of the Set-Point State-Space Vector |
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31 | (2) |
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1.4.2 Constitution of the Initial State-Space Vector |
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33 | (1) |
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33 | (1) |
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1.4.3.1 Real-Time Implementation |
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33 | (2) |
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1.4.3.2 Measure Filtering |
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35 | (1) |
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1.4.3.3 Transition and Input Matrix Calculations |
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36 | (1) |
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1.4.3.4 Kalman Filter, Observation and Prediction |
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36 | (2) |
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1.4.3.5 Summary of Measurement, Filtering and Prediction |
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38 | (3) |
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41 | (1) |
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1.4.4.1 Voltage Limitation |
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41 | (3) |
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1.4.4.2 Current Limitation |
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44 | (1) |
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1.4.4.3 Operating Area and Limits |
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44 | (1) |
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1.4.4.4 Set-Point Limit Algebraic Calculations |
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44 | (10) |
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1.4.5 Example of Implementation |
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54 | (1) |
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1.4.5.1 Adjustment of Flux and Torque - Limitations in Traction Operation |
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55 | (2) |
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1.4.5.2 Adjustment of Flux and Torque - Limitations in Electrical Braking |
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57 | (2) |
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1.4.5.3 Free Evolution - Short-Circuit Torque |
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59 | (4) |
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1.5 Conclusion on the Induction Machine Control |
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63 | (2) |
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2 Surface-Mounted Permanent-Magnet Synchronous Motor |
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65 | (56) |
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2.1 Electrical Equations and Equivalent Circuit |
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66 | (3) |
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2.1.1 Definitions and Notations |
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66 | (1) |
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2.1.2 Equivalent Electrical Circuit |
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66 | (2) |
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2.1.3 Differential Equation System |
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68 | (1) |
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2.2 Working out the State-Space Equation System |
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69 | (7) |
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2.2.1 State-Space Equations in the Fixed Plane |
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69 | (2) |
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2.2.2 State-Space Equations in the Complex Plane |
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71 | (1) |
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2.2.3 Complex State-Space Equation Discretization |
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72 | (1) |
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2.2.4 Evolution Matrix Diagonalization |
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73 | (1) |
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73 | (1) |
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2.2.4.2 Transfer Matrix Calculation |
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73 | (1) |
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2.2.4.3 Transfer Matrix Inversion |
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74 | (1) |
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2.2.5 Projection of State-Space Vectors in the Eigenvector Basis |
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75 | (1) |
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2.3 Discretized State-Space Equation Inversion |
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76 | (8) |
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2.3.1 Introduction of the Rotating Frame |
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76 | (1) |
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2.3.2 State-Space Vector Calculations in the Eigenvector Basis |
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76 | (6) |
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2.3.3 Control Computation - Eigenstate-Space Equation Inversion |
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82 | (2) |
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84 | (34) |
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2.4.1 Constitution of the Set-Point State-Space Vector |
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84 | (1) |
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2.4.2 Constitution of the Initial State-Space Vector |
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85 | (1) |
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86 | (1) |
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2.4.3.1 Real-Time Implementation |
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86 | (2) |
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2.4.3.2 Measure Filtering |
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88 | (1) |
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2.4.3.3 Transition and Control Matrix Calculations |
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88 | (1) |
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2.4.3.4 Kalman Filter, Observation and Prediction |
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89 | (2) |
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2.4.3.5 Summary of Measurement, Filtering and Prediction |
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91 | (3) |
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94 | (1) |
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2.4.4.1 Voltage Limitation |
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95 | (3) |
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2.4.4.2 Current Limitation |
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98 | (1) |
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2.4.4.3 Operating Area and Limits |
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98 | (1) |
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2.4.4.4 Set-Point Limit Calculations |
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98 | (11) |
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2.4.5 Example of Implementation |
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109 | (1) |
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2.4.5.1 Adjustment of Torque - Limitations in Traction Operation |
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110 | (2) |
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2.4.5.2 Adjustment of Torque - Limitations in Electrical Braking |
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112 | (2) |
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2.4.5.3 Free Evolution - Short-Circuit Torque |
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114 | (4) |
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2.5 Conclusion on SMPM-SM |
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118 | (3) |
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3 Interior Permanent Magnet Synchronous Motor |
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121 | (70) |
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3.1 Electrical Equations and Equivalent Circuits |
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122 | (5) |
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3.1.1 Definitions and Notations |
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122 | (1) |
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3.1.2 Equivalent Electrical Circuits |
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123 | (1) |
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3.1.3 Differential Equation System |
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124 | (3) |
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3.2 Working out the State-Space Equation System |
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127 | (7) |
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3.2.1 State-Space Equations in the Fixed Plane |
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128 | (1) |
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3.2.2 State-Space Equations in the Complex Plane |
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129 | (1) |
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3.2.3 State-Space Equation Discretization |
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130 | (1) |
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3.2.4 Evolution Matrix Diagonalization |
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130 | (1) |
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130 | (2) |
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3.2.4.2 Transfer Matrix Calculation |
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132 | (1) |
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3.2.4.3 Transfer Matrix Inversion |
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133 | (1) |
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3.2.5 Projection of State-Space Vectors in the Eigenvector Basis |
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134 | (1) |
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3.3 Discretized State-Space Equation Inversion |
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134 | (9) |
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3.3.1 Rotating Reference Frame |
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134 | (1) |
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3.3.2 State-Space Vector Calculations in the Eigenvector Basis |
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135 | (4) |
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3.3.2.1 Calculation of Third and Fourth Coordinates of the State-Space Equation |
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139 | (1) |
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3.3.2.2 Calculation of the First and the Second Coordinate of the State-Space Eigenvector |
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140 | (1) |
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3.3.3 Control Calculation - Eigenstate-Space Equations Inversion |
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141 | (2) |
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143 | (46) |
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3.4.1 Constitution of the Set-Point State-Space Vector |
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143 | (3) |
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3.4.2 Constitution of the Initial State-Space Vector |
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146 | (1) |
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147 | (1) |
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3.4.3.1 Real-Time Implementation |
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147 | (2) |
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3.4.3.2 Measure Filtering |
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149 | (2) |
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3.4.3.3 Transition and Input Matrix Calculations |
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151 | (1) |
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152 | (3) |
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3.4.3.5 Summary of Measurement, Filtering and Prediction |
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155 | (3) |
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158 | (1) |
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3.4.4.1 Voltage Limitation |
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159 | (7) |
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3.4.4.2 Current Limitation |
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166 | (2) |
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3.4.4.3 Operating Area and Limits |
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168 | (1) |
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3.4.4.4 Set-Point Limit Calculation |
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168 | (12) |
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3.4.5 Example of Implementation |
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180 | (1) |
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3.4.5.1 Adjustment of Torque - Limitations in Traction Mode |
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180 | (2) |
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3.4.5.2 Adjustment of Torque - Limitations in Electrical Braking |
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182 | (2) |
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3.4.5.3 Free Evolution - Short-Circuit Torque |
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184 | (5) |
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3.5 Conclusions on the IPM-SM |
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189 | (2) |
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4 Inverter Supply - LC Filter |
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191 | (22) |
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4.1 Electrical Equations and Equivalent Circuit |
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191 | (2) |
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4.1.1 Definitions and Notations |
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191 | (1) |
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4.1.2 Equivalent Electrical Circuit |
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192 | (1) |
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4.1.3 Differential Equation System |
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193 | (1) |
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4.2 Working out the State-Space Equation System |
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193 | (5) |
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4.2.1 State-Space Equations in a Fixed Frame |
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194 | (1) |
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4.2.2 State-Space Equations in the Complex Plane |
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195 | (1) |
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4.2.3 State-Space Equation Discretization |
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195 | (1) |
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4.2.4 Evolution Matrix Diagonalization |
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195 | (1) |
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195 | (2) |
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4.2.4.2 Transfer Matrix Calculation |
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197 | (1) |
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4.2.4.3 Transfer Matrix Inversion |
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198 | (1) |
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4.3 Discretized State-Space Equation Inversion |
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198 | (3) |
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4.3.1 Evolution Matrix Diagonalization |
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198 | (1) |
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4.3.2 State-Space Equation Discretization |
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198 | (1) |
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4.3.3 State-Space Vector Calculations in the Eigenvector Basis |
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199 | (2) |
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201 | (10) |
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4.4.1 Constitution of the Set-Point State-Space Vector |
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201 | (1) |
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4.4.2 Constitution of the Initial State-Space Vector |
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202 | (1) |
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4.4.3 Inversion - Line Current Control by the Useful Current |
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202 | (2) |
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4.4.4 Inversion - Capacitor Voltage Control by the Useful Current |
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204 | (2) |
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4.4.5 General Case - Control by the Useful Current |
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206 | (2) |
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4.4.6 Example of Implementation |
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208 | (1) |
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4.4.6.1 Lack of Capacitor Voltage Stabilization |
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208 | (1) |
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4.4.6.2 Capacitor Voltage Stabilization |
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209 | (2) |
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4.5 Conclusions on Power LC Filter Stabilization |
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211 | (2) |
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213 | (4) |
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Appendix A Calculation of Vector PWM |
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217 | (8) |
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218 | (1) |
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A.2 Working out the Control Voltage Vector |
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218 | (3) |
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A.3 Other Examples of Vector PWM |
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221 | (3) |
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A.3.1 Unsymmetrical Vector PWM |
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221 | (1) |
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A.3.2 Symmetrical Triangular Wave Based PWM |
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222 | (1) |
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223 | (1) |
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A.4 Sampled Shape of the Voltage and Current Waves |
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224 | (1) |
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Appendix B Transfer Matrix Calculation |
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225 | (8) |
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B.1 First Eigenvector Calculation |
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225 | (2) |
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B.2 Second Eigenvector Calculation |
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227 | (1) |
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B.3 Third Eigenvector Calculation |
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228 | (2) |
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B.4 Fourth Eigenvector Calculation |
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230 | (1) |
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B.5 Transfer Matrix Calculation |
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231 | (2) |
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Appendix C Transfer Matrix Inversion |
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233 | (6) |
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C.1 Transfer Matrix Determinant Calculation |
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234 | (1) |
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C.2 First Row, First Column |
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234 | (1) |
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C.3 First Row, Second Column |
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235 | (1) |
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C.4 First Row, Third Column |
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235 | (1) |
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C.5 First Row, Fourth Column |
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235 | (1) |
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C.6 Second Row, First Column |
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236 | (1) |
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C.7 Second Row, Second Column |
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236 | (1) |
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C.8 Second Row, Third Column |
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236 | (1) |
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C.9 Second Row, Fourth Column |
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237 | (1) |
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C.10 Third Row, First Column |
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237 | (1) |
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C.11 Third Row, Second Column |
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237 | (1) |
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C.12 Third Row, Third Column |
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237 | (1) |
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C.13 Third Row, Fourth Column |
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237 | (1) |
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C.14 Fourth Row, First Column |
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238 | (1) |
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C.15 Fourth Row, Second Column |
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238 | (1) |
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C.16 Fourth Row, Third Column |
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238 | (1) |
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C.17 Fourth Row, Fourth Column |
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238 | (1) |
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C.18 Inverse Transfer Matrix Calculation |
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238 | (1) |
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Appendix D State-Space Eigenvector Calculation |
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239 | (6) |
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Appendix E F and G Matrix Calculations |
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245 | (6) |
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E.1 Transition Matrix Calculation |
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245 | (4) |
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E.2 Discretized Input Matrix Calculation |
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249 | (2) |
References |
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251 | (2) |
Index |
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253 | |