MCP3909RD-3PH1 Microchip Technology, MCP3909RD-3PH1 Datasheet - Page 83

• Manufacturer Part Number: MCP3909RD-3PH1
• Description: REF DESIGN MCP3909 3PH ENGY MTR
• Manufacturer: Microchip Technology

Specifications of MCP3909RD-3PH1

• Main Purpose: Power Management, Energy/Power Meter
• Embedded: No
• Utilized Ic / Part: MCP3909, PIC18F2520, PIC18F4550
• Primary Attributes: 3-Ph, 220 VAC, In Case, LCD, USB, GUI
• Secondary Attributes: Opto-Isolated Interface for Safety
• Operating Voltage: 220 V
• Operating Current: 5 A
• Description/function: Energy Meter
• For Use With/related Products: MCP3909
• Lead Free Status / RoHS Status: Not applicable / Not applicable

© 2009 Microchip Technology Inc.
EQUATION C-18:
Make g(t) = f(t) • cos(K•ω•t), it can be proved that g(t) is also a periondic function with T
as its period. Averaging g(t) in the range of [0 ~ T] results in:
EQUATION C-19:
So a
EQUATION C-20:
EQUATION C-21:
Where N, n and η
EQUATION C-22:
EQUATION C-23:
Where:
EQUATION C-24:
k
= 2 × g(t). Therefore, a
i
are constants. The equation may therefore be written as:
I
i
b
k
=
g t ( )
k
b
=
can be obtained if only g(t) can be calculated.
a
a
k
----- -
N
2
k
k
=
n
----- -
N
=
2
=
=
=
⋅
n
η
n
i
⋅
∑
1
-- -
T
2g t ( )
------
N
=
n
×
1
i
2
n
i
Power Calculation Theory
∑
∑
=
⋅
×
n
N
=
0
=
×
b
T
∫
0
N
I
⋅
0
k
N
0
f t ( )
i
R
n
I
i
η
⋅ ⋅
∑
i
=
×
=
1
=
f
i
⋅ ⋅
i
N
×
0
⋅ ⋅
f
⋅
c
i
η
f
cos
----- -
N
2
k
sin
i
2
i
cos
n
cos
⋅
sin
⋅
⎛
⎝
(
f
n
i
k
k
i
ϕ
⎛
⎝
∑
⋅
=
×
⎛
⎝
(
⋅
⋅
k
k
cos
i
k
ω
N
2
----- - i
0
⋅
N
=
⋅
π
η
2
----- - i
N
⋅
2
----- - i
i
⎛
⎝
N
π
⋅
0 n N
t
π
k
⋅
)dt
⋅
⎞
⎠
∼
g
⋅
⋅
i
⎞
⎠
2π
----- - i
N
⎞
⎠
×
⋅
⎞
⎠
)
DS51723A-page 83