MCP3909-I/SS Microchip Technology, MCP3909-I/SS Datasheet - Page 85

• 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.
The relationship between u
EQUATION C-31:
EQUATION C-32:
Total effective voltage can be expressed as:
EQUATION C-33:
Similarly, the effective values and initial phase angles of fundamental current and
current of each other harmonic can be expressed as:
EQUATION C-34:
EQUATION C-35:
The relationship between i
EQUATION C-36:
EQUATION C-37:
Total current RMS can be expressed as:
EQUATION C-38:
ak
ak
, i
, u
bk
I
bk
k
and I
u
=
u
U
and U
i
i
I
bk
ak
bk
ak
total
total
------ - i
Power Calculation Theory
1
=
ϕ
=
2
=
=
k
ik
⋅
can be expressed as:
=
=
k
ck
=
2 U
2 U
2 I
can be expressed as:
2 I
⋅
⋅
⋅
⋅
=
atan
k
k
∑
∑
∞
=
k
∞
=
k
k
k
⋅
⋅
0
0
⋅
⋅
i
------------------------ -
cos
U
i
----- -
i
sin
I
cos
sin
ak
ak
bk
k
k
2
2
2
ϕ
ϕ
ϕ
ϕ
+
2
ik
ik
uk
uk
i
bk
2
DS51723A-page 85