Pag. 56 di 152
1
2
sin
)
(
2
cos
)
(
2
)
(
100
2
1
0
3
2
1
0
3
1
0
2
3
3
−
⎪⎭
⎪
⎬
⎫
⎪⎩
⎪
⎨
⎧
⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
+
⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
=
∑
∑
∑
−
=
−
=
−
=
N
n
N
n
N
n
I
N
n
n
I
N
n
n
I
N
n
I
THD
π
π
Mean phase-phase Voltage
∆
U
3
31
23
12
U
U
U
U
+
+
=
∆
Average THD of the Phase to phase Voltages:
∆
U
THD
3
31
23
12
U
U
U
U
THD
THD
THD
THD
+
+
=
∆
Three phase current:
Σ
I
3
∆
Σ
Σ
=
U
S
I
Average THD of the phase Currents:
Σ
I
THD
3
3
2
1
I
I
I
I
THD
THD
THD
THD
+
+
=
Σ
Three phase Active Power:
Σ
P
( ) ( )
( ) ( )
⎥
⎦
⎤
⎢
⎣
⎡
−
=
∑
∑
−
=
−
=
Σ
1
0
1
0
3
23
1
12
1
M
n
M
n
n
I
n
U
n
I
n
U
M
P
Three phase reactive Power:
Σ
Q
(
) ( )
(
) ( )
⎥
⎦
⎤
⎢
⎣
⎡
+
−
+
=
∑
∑
−
=
−
=
Σ
n
I
M
n
U
n
I
M
n
U
M
Q
M
n
M
n
3
1
0
23
1
1
0
12
4
4
1
Three phase apparent Power:
Σ
S
2
2
Σ
Σ
Σ
+
=
Q
P
S
Three phase Power Factor:
Σ
λ
( )
Σ
Σ
Σ
Σ
=
Q
sign
S
P
λ
where
sign
(
x
) is equal to 1 with
x
> 0, to -1 with
x
< 0.