MCP3909EV-MCU16 Microchip Technology, MCP3909EV-MCU16 Datasheet - Page 82
MCP3909EV-MCU16
Manufacturer Part Number
MCP3909EV-MCU16
Description
EVALUATION BOARD FOR MCP3909
Manufacturer
Microchip Technology
Datasheets
1.MCP3909T-ISS.pdf
(44 pages)
2.MCP3909T-ISS.pdf
(104 pages)
3.MCP3909EV-MCU16.pdf
(38 pages)
Specifications of MCP3909EV-MCU16
Number Of Adc's
2
Number Of Bits
16
Sampling Rate (per Second)
15k
Data Interface
Serial
Inputs Per Adc
1 Differential
Input Range
±1 V
Voltage Supply Source
Analog and Digital
Operating Temperature
-40°C ~ 85°C
Utilized Ic / Part
MCP3909
Silicon Manufacturer
Microchip
Application Sub Type
ADC
Kit Application Type
Data Converter
Silicon Core Number
MCP3909
Kit Contents
Board
Lead Free Status / RoHS Status
Lead free / RoHS Compliant
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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
)
)
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