MCP3909-I/SS Microchip Technology, MCP3909-I/SS Datasheet - Page 82

• 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

MCP3909 / dsPIC33F 3-Phase Energy Meter Reference Design
C.3
DS51723A-page 82
THE HARMONIC ANALYSIS ALGORITHM OF QUASI-SYNCHRONOUS
SAMPLING
Periodic signal can be expressed as trigonometric Fourier series or exponential Fourier
series. A periodic signal with a period of T can be expressed as :
EQUATION C-11:
where:
EQUATION C-12:
EQUATION C-13:
or as:
EQUATION C-14:
where the relationship between a
EQUATION C-15:
EQUATION C-16:
EQUATION C-17:
f t ( )
=
f t ( )
α
------ -
2
0
+
a
=
k
k
b
∑
k
∞
=
a
=
k
0
=
, b
1
+
-- -
T
(
2
α
-- -
T
2
k
c
k
⋅
a
k
ϕ
∑
， c
k
T
∫
0
∞
=
⋅
k
cos
k
f t ( )
T
∫
0
=
1
=
f t ( )
=
c
(
k
k
k
c
⋅
sin
and ϕ
atan
⋅
a
k
cos
⋅
ω
2
k
sin
sin
(
+
⋅
k
t
(
a
---- -
b
ϕ
)
k
(
⋅
b
k
k
k
k
+
ω
k
2
k
⋅
⋅
ω
is:
β
⋅
ω
cos
t
⋅
⋅
+
t
)dt
t
(
)
ϕ
k
dt
k
⋅
)
ω
⋅
© 2009 Microchip Technology Inc.
t
)
)