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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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however. Assume for example that the commanded SV is in sextant s 12 as shown in Figure 4.30.<br />

S<br />

S<br />

<br />

as<br />

The obvious choice for the active base SVs would be 1 S<br />

<br />

and 2 ; we could arbitrarily pick 7<br />

the null base SV. From Table 4.1, the switch states would progress as follows.<br />

S1 S2 S7<br />

<br />

<br />

HLL HHL HHH <br />

Each state transition within a period requires a change of only one leg state. However, the<br />

transition between periods requires two legs to switch states. Each time a leg changes states a<br />

<br />

does not solve<br />

switching loss is incurred, so this is not desirable. Selecting the null SV to be 0 S<br />

the problem. Since inter-period transitions required only one transition, the period could be<br />

rearranged as shown in Figure 4.36, with appropriate changes to the durations of each base SV<br />

(dividing the previous Tx and Ty in half).<br />

Figure 4.36 – One period in an improved switching scheme.<br />

This solves the switch transition problem but there is another problem. Assume the commanded<br />

<br />

SV approaches S2<br />

and crosses over into sextant s 23 . SXS1and SYS2would become<br />

<br />

S S2and<br />

S S3.<br />

As the SV crossed the boundary there would be extraneous switching<br />

X<br />

Y<br />

between two periods and this could cause distortion. This problem can be solved by dividing the<br />

null time, adding a segment at the beginning and end of each period, as shown in Figure 4.37.<br />

Figure 4.37 – One period on a second improved switching scheme.<br />

But distributing the null SV as shown would cause the switch states would progress as follows.<br />

S S S S S S S<br />

7 1 2 7 2 1 7<br />

HHH HLLHHLHHH HHLHLLHHH <br />

The null state next to S1 causes a double transition where previously there was none. The solution<br />

is to use S0 for the beginning and end null states and S7 for the center null state.<br />

S S S S S S S<br />

0 1 2 7 2 1 0<br />

LLLHLLHHLHHH HHLHLLLLL 194

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