MCP3909-I/SS Microchip Technology, MCP3909-I/SS Datasheet - Page 83

• Manufacturer Part Number: MCP3909-I/SS
• Description: IC POWER METERING-1 PHASE 24SSOP
• Manufacturer: Microchip Technology

Specifications of MCP3909-I/SS

• Package / Case: 24-SSOP (0.200", 5.30mm Width)
• Input Impedance: 390 KOhm
• Measurement Error: 0.1%
• Voltage - I/o High: 2.4V
• Voltage - I/o Low: 0.85V
• Current - Supply: 2.3mA
• Voltage - Supply: 4.5 V ~ 5.5 V
• Operating Temperature: -40°C ~ 85°C
• Mounting Type: Surface Mount
• Meter Type: Single Phase
• Operating Temperature Range: - 40 C to + 85 C
• Mounting Style: SMD/SMT
• Supply Voltage Range: 4.5V To 5.5V
• Digital Ic Case Style: SSOP
• No. Of Pins: 24
• Interface Type: Serial, SPI
• Supply Voltage Max: 5.5V
• Rohs Compliant: Yes
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant
• For Use With: MCP3909EV-MCU16 - EVALUATION BOARD FOR MCP3909MCP3909RD-3PH1 - REF DESIGN MCP3909 3PH ENGY MTR
• Lead Free Status / Rohs Status: Lead free / RoHS Compliant

© 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