MCP3909RD-3PH3 Microchip Technology, MCP3909RD-3PH3 Datasheet - Page 86

• Manufacturer Part Number: MCP3909RD-3PH3
• Description: REF DESIGN FOR MCP3909 W/18F2520
• Manufacturer: Microchip Technology

Specifications of MCP3909RD-3PH3

• Main Purpose: Power Management, Energy/Power Meter
• Utilized Ic / Part: MCP3909, PIC18F2520, PIC18F4550
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant
• Secondary Attributes: -
• Embedded: -
• Primary Attributes: -
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant, Lead free / RoHS Compliant

MCP3909 / dsPIC33F 3-Phase Energy Meter Reference Design
DS51723A-page 86
According to the definition of power measurement, the active power and reactive power
of the fundamental and each other harmonic can be expressed as:
EQUATION C-39:
EQUATION C-40:
Substituting Equation C-31, C-32, C-33 and C-37 into Equation C-39 and C-40, the
power of each harmonic component can be obtained with the following:
EQUATION C-41:
EQUATION C-42:
Total active power and reactive power can be expressed as:
EQUATION C-43:
EQUATION C-44:
=
=
1
-- - U
2
1
-- - U
2
⋅
⋅
k
k
P
Q
P
Q
I
I
k
k
k
k
k
k
(
(
Q
P
sin
=
=
sin
=
=
total
total
1
-- -
2
U
ϕ
U
ϕ
1
-- -
2
uk
uk
⋅
k
⋅
k
I
(
I
(
=
=
k
sin
u
k
cos
u
cos
sin
ak
ak
k
k
ϕ
∑
∑
i
ϕ
i
∞
=
∞
=
ak
(
(
ik
ak
ik
ϕ
ϕ
0
0
+
+
uk
P
Q
uk
–
–
k
k
u
cos
u
cos
–
–
bk
bk
ϕ
ϕ
i
i
ϕ
ik
ϕ
ik
ik
ik
uk
uk
)
)
)
)
cos
sin
ϕ
ϕ
© 2009 Microchip Technology Inc.
ik
ik
)
)