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1466 JOURNAL OF COMPUTERS, VOL. 8, NO. 6, JUNE 2013<br />

(a) { S<br />

a1<br />

, S<br />

a2<br />

}<br />

only one path through D<br />

a1<br />

and D<br />

a2<br />

as shown <strong>in</strong> Figure 5<br />

(c). When the fault { S<br />

a2<br />

} occurs, current flow (3) is<br />

possible while current flow (1) or (2) is impossible. When<br />

the fault { S<br />

a1<br />

, S<br />

a2<br />

} occurs, only current flow (3) is<br />

possible. Hence, no difference exists <strong>in</strong> current flow and<br />

the bridge voltages for the cases { S<br />

a2<br />

} and { S<br />

a1<br />

, S<br />

a2<br />

}.<br />

This reveals that the fault modes { S<br />

a2<br />

} and { S<br />

a1<br />

, S<br />

a2<br />

}<br />

cannot be isolated if only the bridge voltage is used.<br />

1<br />

U<br />

2 d<br />

D a5<br />

S a1<br />

S a2<br />

D a1<br />

a u<br />

D a2<br />

o<br />

a<br />

i a<br />

Ra<br />

b<br />

Rb<br />

c<br />

Rc<br />

(b) { S<br />

a1<br />

, S<br />

a3<br />

}<br />

1<br />

U<br />

2 d<br />

D a6<br />

S a3<br />

S a4<br />

D a3<br />

a d<br />

D a4<br />

L a<br />

n<br />

L b<br />

L c<br />

(a) Current flow (1)<br />

1<br />

U<br />

2 d<br />

D a5<br />

S a1<br />

S a2<br />

D a1<br />

a u<br />

D a2<br />

o<br />

a<br />

i a<br />

R a<br />

b<br />

Rb<br />

c<br />

Rc<br />

(c) { S<br />

a1<br />

, S<br />

a4<br />

}<br />

1<br />

U<br />

2 d<br />

D a6<br />

S a3<br />

S a4<br />

D a3<br />

a d<br />

D a4<br />

L a<br />

n<br />

L b<br />

L c<br />

(b) Current flow (2)<br />

1<br />

U<br />

2 d<br />

D a5<br />

S a1<br />

S a2<br />

D a1<br />

a u<br />

D a2<br />

(d) { S<br />

a2<br />

, S<br />

a3<br />

}<br />

Figure 4. Bridge voltage when two devices malfunction<br />

From Figure 3 and Figure 4 it could be found that the<br />

circuit would have the same bridge voltage for the fault<br />

modes { S<br />

a2<br />

} (see Figure 3 (c)) and { S<br />

a1<br />

, S<br />

a2<br />

} (see<br />

Figure 4 (a)). This will be also the case for the fault<br />

modes { S<br />

a3<br />

} and { S<br />

a3<br />

, S<br />

a4<br />

}.<br />

Consider the current path <strong>in</strong> Figure 2 from a to o<br />

through the upper half bridge where S<br />

a1<br />

, S<br />

a2<br />

, D<br />

a5<br />

,<br />

Da1<br />

and D<br />

a2<br />

are <strong>in</strong>volved, and denote the current of phase<br />

a as i a<br />

. If i<br />

a<br />

> 0 , the current has two possible paths as<br />

shown <strong>in</strong> Figure 5 (a-b), but if i<br />

a<br />

< 0 , the current has<br />

o<br />

1<br />

U<br />

2 d<br />

D a6<br />

S a3<br />

S a4<br />

a<br />

i a<br />

D a3<br />

a d<br />

D a4<br />

Ra<br />

(c) Current flow (3)<br />

L a<br />

b<br />

n<br />

Rb<br />

L b<br />

c<br />

Rc<br />

Figure 5. Diagram of NPC <strong>in</strong>verter work states<br />

In order to isolate all possible fault modes, the voltages<br />

of both the upper bridge and the down bridge as def<strong>in</strong>ed<br />

before are <strong>in</strong>troduced. Figure 6 shows the waveform of<br />

the upper bridge voltage for { S<br />

a2<br />

} and { S<br />

a1<br />

, S<br />

a2<br />

}.<br />

Obviously the waveform is different from each other.<br />

L c<br />

© 2013 ACADEMY PUBLISHER

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