SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

Figure 3.29 – Arbitrary space vector in the complex/αβ plane....................................................116
Figure 3.30 – Waveforms and SV trajectory for balanced sinusoidal phase variables................122
Figure 3.31 – SV projection onto phase axes: (a) actual; (b) alternative.....................................126
Figure 3.32 – Arbitrary SV referenced to axes of phases –A, -B, and –C...................................129
Figure 3.33 – Space vector in stationary reference frame showing phase axes. .......................... 130
Figure 3.34 – Definition of rotor reference frame. ......................................................................131
Figure 3.35 – SV in the stator and rotor reference frames...........................................................131
Figure 3.36 – Park transform: vector rotation perspective...........................................................133
Figure 3.37 – Park transform: coordinate rotation perspective....................................................133
Figure 3.38 – Park transform: rotor reference frame perspective. ...............................................134
Figure 3.39 – Time-domain waveform and corresponding phasor diagram................................140
Figure 3.40 – Space vector diagram.............................................................................................141
Figure 3.41 – SV diagram of synchronous motor in stationary frame (steady state)...................145
Figure 3.42 – Coupling between d- and q- axes in voltage equations. ........................................149
Figure 3.43 – Steady-state SV diagram in rotor frame; voltage and EMFs.................................151
Figure 3.44 – Steady-state SV diagram in rotor frame; current and flux linkages. .....................151
Figure 3.45 – Torque production; stationary reference frame. ....................................................152
Figure 3.46 – Simulation diagram for BPMS motor in stationary reference frame.....................156
Figure 3.47 – Simulation diagram for BPMS motor in stationary frame (SV representation). ...157
Figure 3.48 – Simulation diagram for BPMS motor in synchronous reference frame attached to
rotor. ....................................................................................................................................158
Figure 3.49 – Steady-state SV diagram in rotor frame. ............................................................... 159
Figure 4.1 – VSI topology with controlled-rectifier front end.....................................................161
Figure 4.2 – Definitions of DC bus midpoint and voltage magnitudes. ......................................162
Figure 4.3 – Voltage measurements.............................................................................................162
Figure 4.4 – Differential voltage measurement. ..........................................................................163
Figure 4.5 – Leg states for 120° inverter. ....................................................................................164
Figure 4.6 – Representation of leg in 180° inverter.....................................................................164
Figure 4.7 – Leg states for 180° inverter. ....................................................................................164
Figure 4.8 – Gating schemes for 120° and 180° inverters. ..........................................................165
Figure 4.9 – Gating and POLE voltages for ideal 120° and 180° six-step inverters....................167
Figure 4.10 – Voltage waveforms for 180° six-step squarewave inverter...................................168
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