STPMC1 datasheet(70/77 Pages) STMICROELECTRONICS

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Energy calculation algorithm

STPMC1

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Doc ID 15728 Rev 6

compensated stream of 16-bit voltage from the 2nd stage of filter (

Equation 18 or Equation

26) is multiplied by the 16-bit current stream from the 2nd stage (Equation 16 or Equation

25) yielding:

Equation 40

Q1 = vuiic vi = ABkINT sin (ω t) cos (ω t + ϕ) = - ABkINT [sin ϕ - sin (2 ω t + ϕ)] / 2

Equation 41

Q2 = ω / kINT vui vii = ABkINT cos (ω t) sin (ω t + ϕ) = ABkINT [sin ϕ + sin (2 ω t + ϕ)] / 2

In case of non Rogowski sensor, the corresponding products are:

Equation 42

Q1 = vdiic vs = ACkDIFkINT cos (ω t) sin (ω t + ϕ) = AC [sin ϕ + sin (2 ω t + ϕ)] / 2

Equation 43

Q2 = ω / kINT vdi vsi = - ACkDIFkINT sin (ω t) cos (ω t + ϕ) = - AC [sin ϕ - sin (2 ω t + ϕ)] / 2

Then a subtraction of Q1 from Q2 is performed:

Equation 44

Q = (Q2 - Q1) / 2 = (AB sin ϕ) kINT / 2 = (UkDIkL sin ϕ) kINT / 2 = URMS IRMS sin ϕ kP

This gives the same result for Q in case of non Rogowski sensor, substituting B and kLkINT

with C and kS:

Equation 45

Q = (Q2 - Q1) / 2 = (AC sin ϕ) = (UkDIkS sin ϕ) / 2 = URMS IRMS sin ϕ kP

The artificial reactive power (ART = 1) of line is computed as follows.

The inter-phase voltage sigma-delta stream is computed from voltage stream from the 1st

stage as follows:

Equation 46

ΔvuR = (vuS - vuT) / 2

ΔvuS = (vuT - vuR) / 2

ΔvuT = (vuR - vuS) / 2

The inter-phase voltage sigma-delta stream (

Equation 46), the 16-bit current from the 2nd

stage (

Equation 16 or Equation 25) and the value of 1 /

√3 are multiplied yielding:

Equation 47

Q =

Δvu vii 1 /

√3 = AB k

INT [sin ϕ + sin (2 ω t + ϕ)] / 2

or in case of non Rogowski sensor, the corresponding products are:

Equation 48

Q =

Δvd vsi 1 /

√30 = AC [sin ϕ + sin (2 ω t + ϕ)] / 2

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