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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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similar convention is to use V BUS as shown but replace V DC with V BUS /2.<br />

This practice has a<br />

definite advantage in that it does not require the creation of an “artificial” voltage definition<br />

( V DC ) but it has the disadvantage that the factor of ½ will combine with other numerical factors<br />

in formulae. This leaves the voltages specified in terms of V BUS which again loses the clear<br />

association with the midpoint shown in the figure and is not preferred in this report.<br />

Figure 4.2 – Definitions of DC bus midpoint and voltage magnitudes.<br />

Figure 4.3 shows a scale showing the two measures of voltage. On the left it is clear that the<br />

voltage scale is centered at the midpoint and bipolar voltages result (as we expect in an AC<br />

waveform). On the right the scale is referenced to the low side of the bus and is therefore<br />

unipolar. However, there is nothing to prevent us describing a bipolar voltage (relative to M) in<br />

terms of V BUS or describing a unipolar voltage (relative to the low side of the bus) in terms of<br />

V DC . It is difficult to use only one convention and references in the literature are testament to<br />

this. As much as possible, voltages in this report are referenced to the midpoint M and therefore,<br />

the measures V DC and V BUS refer to magnitudes of a bipolar voltage, as shown in the center of<br />

Figure 4.3.<br />

Figure 4.3 – Voltage measurements.<br />

162

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