STEVAL-IHP001V3 STMicroelectronics, STEVAL-IHP001V3 Datasheet - Page 48
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STEVAL-IHP001V3
Manufacturer Part Number
STEVAL-IHP001V3
Description
BOARD SMART PLUG STM32 SPZB260PR
Manufacturer
STMicroelectronics
Series
Zigbee™ SmartPlugr
Type
Microcontroller, Energy Meteringr
Specifications of STEVAL-IHP001V3
Frequency
2.4GHz
For Use With/related Products
STM32F10x, SPZB260-PRO, STPM01
Lead Free Status / RoHS Status
Lead free / RoHS Compliant
Other names
497-10677
Theory of operation
8.24.3
48/60
Equation 16
The reactive power will present then a ripple at twice the line frequency. Since the average
value of a sinusoid is 0, this ripple does not contribute to the reactive energy calculation over
time, moreover, in the STPM01 the reactive power is not used for meter calibration or to
generate the stepper pulses, then this ripple will not affect the overall system performances.
In case of Rogowsky coil, the same procedure is applied, but the current channel will be
proportional to the derived of the current and the differentiated is bypassed in the voltage
channel, so we have:
Equation 17
Equation 18
The reactive power is then calculated:
Equation 19
Apparent power and RMS values
The RMS values are calculated starting from the following formulas.
Shunt or current transformer
Equation 20
multiplying
Q
Q
Q
Q
1
3
1
3
T
1
) t (
) t (
) t (
) t (
∫
T
0
=
=
=
=
I
2
∫
v
(
2
2
1
1
v
) t (
) t
) t (
⋅
⋅
Equation 20
dt
Q
Q
dt
′ ⋅
i
1
1
) t (
) t (
) t (
⋅
=
∫
⋅
i
⋅
ω
=
′
ω
) t (
ω
V
⋅
=
dt
=
I
sin
VI
VI
2
=
2
2
by
V
ω
⋅
) t (
⋅
ω
(
(
t
sin
sin
) t (
, the I
⋅
i
Doc ID 10853 Rev 7
) t (
⋅
ϕ
ϕ
(
=
−
−
+
RMS
⎛
⎜
⎝
I
sin(
sin(
ω
−
cos(
V
ω
value is obtained:
2
2
cos(
ω
ω
t
ω
t
+
+
t
ω
ϕ
+
ϕ
) t
)
)
ϕ
)
⎞
⋅ ⎟
⎠
)
)
(
)
−
=
I
sin(
−
VI
2
ω
t
⋅
ω
+
ϕ
⋅
)
(
sin
)
=
2
ϕ
VI
ω
−
(
sin
sin(
ϕ
2
+
ω
sin(
t
+
2
ϕ
STPM01
ω
)
)
t
+
ϕ
)
)