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AN2512 Datasheet(PDF) 28 Page - STMicroelectronics

Part # AN2512
Description  This application note describes how to design
PDF  38 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN2512 Datasheet(HTML) 28 Page - STMicroelectronics

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Three-phase systems
AN2512
28/38
In the balanced loads, the sum of the two wattmeter readings gives the total power. This can
be proven in a star-connected load mathematically using the power reading of each meter
as:
Equation 10
Equation 11
Equation 12
If the difference of the readings is computed,
Equation 13
which is 1/
√3 times the total three-phase reactive power. This means that the two-wattmeter
method can also indicate the total reactive power in the three-phase loads and also the
power factor.
A.3
Three-Wattmeter method
This method is used in a three-phase four-wire balanced or unbalanced load. The
connections are made with one meter in each line as shown in Figure 18. In this
configuration, the total active power supplied to the load is equal to the sum of the three
wattmeter readings.
Equation 14
Figure 18.
The wattmeter connections in the three-phase four-wire loads
P
1
V
12
I
1
•
30
°θ
–
()
cos
•
V
line
I
line
•
30
°θ
–
()
cos
•
=
=
P
2
V
32
I
3
•
30
°θ
–
()
cos
•
V
line
I
line
•
30
°θ
–
()
cos
•
=
=
P
Total
P
1
P
2
3V
line
I
line
θ
cos
•
•
=
+
=
P
2
P
1
–
V
line
I
line
•
30
°θ
–
()
cos
•
V
line
I
line
•
30
°θ
–
() V
line
I
line
•θ
sin
=
cos
•
–
=
P
Total
P
1
P
2
–
P
3
–
=



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