STPM10 datasheet(40/51 Pages) STMICROELECTRONICS

部品番号	STPM10

部品情報	Programmable single-phase energy metering IC with tamper detection

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メーカー	STMICROELECTRONICS [STMicroelectronics]

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40 / 51 page

Theory of operation

STPM10

40/51

Doc ID 17728 Rev 3

The reactive power, then, presents 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 STPM10 the reactive power is not used for meter calibration or to

generate the stepper pulses, so this ripple does not affect the overall system performance.

7.23.3

Apparent power and RMS values

The RMS values are calculated starting from the following formulas:

Equation 18

Multiplying Equation 18 by

ω, the I

RMS value is obtained:

Equation 19

The RMS voltage value is obtained by:

Equation 20

For the apparent power, another value is produced:

Equation 21

Multiplying Equation 18 and Equation 21, the apparent power is produced:

Equation 22

())

sin(

sin

)

(

)

(

−

⋅

)

(

⋅

∫

RMS =

)

(

RMS

∫

)

(

⋅

′

∫

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