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it canoe be excited due to assumed star connection of the system. Space vectors
of phase voltages are defined as:
V d 1 −q 1 = 2
5 ( V a + λV b + λ 2 V c + λ 3 V d + λ 4 V e )
(2)
V d 3 −q 3 = 2
5 ( V a + λV c + λ 2 V e + λ 3 V b + λ 4 V d )
(3)
In Eqs. (2) and (3): λ =exp( j 2 π/ 5); V a ∼ V e are the output voltage vectors in
inverter stage.
In general, an n-phase VSI has a total of 2 n space vectors. Thus in case of a
five-phase IMC, there are 32 space vectors in the inverter stage, two of which are
zero vectors. The remaining 30 active vectors which are easily calculated using
(2) and (3) in conjunction with inverter output phase voltages for each possible
state form three decagons in both d 1
q 1 and d 3
q 3 planes. Fig.2 shows the
space vectors in d 1
q 1 and d 3
q 3 plane.
q
V
1
V
12
28
3
V
V
4
2
24
14
V
V
30
V
V
29
5
13
V
20
V
1 V
1
26
V
V
V
V
V
d
22
V
V
0
15
16
25
V
V
21
11
V
18
V
6
10
V
V
27
V
V
23
V
7
9
V
8
17
V
V
19
(a) Voltage space vectors in d 1 − q 1 0plane
q
V
V
V
13
V
V
V
20
29
V
V
23
V
17
V
12
V
V
d
28
V
V
22
V
V
15
0
16
V
V
25
V
19
V
24
V
V
V
14
V
30
V
21
V
27
11
V
18
V
1 V
V
26
(b) Voltage space vectors in d 3 − q 3 0plane
Fig. 2. Voltage space vectors distribution of three-to-five phase IMC
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