MCP3909RD-3PH1 Microchip Technology, MCP3909RD-3PH1 Datasheet - Page 77
MCP3909RD-3PH1
Manufacturer Part Number
MCP3909RD-3PH1
Description
REF DESIGN MCP3909 3PH ENGY MTR
Manufacturer
Microchip Technology
Datasheets
1.MCP3909T-ISS.pdf
(44 pages)
2.MCP3909T-ISS.pdf
(104 pages)
3.MCP3909RD-3PH3.pdf
(88 pages)
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
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© 2009 Microchip Technology Inc.
Assuming that the integral starts at β, then:
EQUATION C-5:
Likewise, as strict integration cannot be realized in the entire cycle, so:
EQUATION C-6:
Similarly, the integral value of above equation is related to β with 2π as its period, let’s
denote it as F
F
EQUATION C-7:
It can be proved that,
EQUATION C-8:
In practical applications, it is necessary to sample the continuous analog signals and
process the data obtained with discrete algorithms. The quasi-synchronous recursive
process mentioned above can be expressed as follows:
For Equation C-4, the integral interval [x
can be divided equally into n x N sections, which results in n x N + 1 sampled data,
f(x
2
(x), and a recurrence formula can be obtained as the following:
i
), (i=0,1,...,nxN), and we can iterate as follows:
2
(β). If it won't confuse people, we'll write F
f x ( )
F
f x ( )
n
=
( )
α
F
=
1
=
( )
F
α
1
---------------- -
2
n
( )
lim
Power Calculation Theory
π
–
α
≠
1
+
∞
---------------- -
2
π
Δ
F
=
0
1
n
+
, x
⋅
( )
----- -
2
(
1
α
Δ
x
0
π
+
+ n x (2π + Δ)] whose width is n x (2π + Δ)
⋅
⋅
2
(
=
(
∫
x
β
π
β
+
+
+
f x ( )
∫
β
2
Δ
2
∫
β
π
π
)
F
)
+
F
n 1
Δ
1
–
)
( )
F
α
x ( ) x d
1
( )
1
d
α
(α) and F
α
d
α
2
(β) as F
DS51723A-page 77
1
(x) and
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