EVAL-ADE7880EBZ datasheet(57/104 Pages) AD

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Data Sheet

ADE7880

Rev. A | Page 57 of 104

When the ADE7880 analyzes a phase, the following metering

quantities are computed:



Fundamental phase current rms: I1



Fundamental phase voltage rms: V1



RMS of up to three harmonics of phase current:

Ix, Iy, Iz, x,y,z=2, 3,…, N



RMS of up to three harmonics of phase voltage:

Vx, Vy, Vz, x,y,z=2, 3,…, N



Fundamental phase active power

P1 = V1I1cos(φ1 − γ1)



Fundamental phase reactive power

Q1 = V1I1sin(φ1 − γ1)



Fundamental phase apparent power

S1 = V1I1



Power factor of the fundamental



sgn





Active power of up to three harmonics:

Px = VxIxcos(φx – γx), x=2, 3,…, N

Py = VyIycos(φy – γy), y=2, 3,…, N

Pz = VzIzcos(φz – γz), z=2, 3,…, N



Reactive power of up to three harmonics:

Qx = VxIxsin(φx – γx), x=2, 3,…, N

Qy = VyIysin(φy – γy), y=2, 3,…, N

Qz = VzIzsin(φz – γz), z=2, 3,…, N



Apparent power of up to three harmonics:

Sx = VxIx, x = 2, 3, …, N

Sy = VyIy, y = 2 , 3, …, N

Sz = VzIz, z = 2, 3, …, N



Power factor of up to three harmonics:





 sgn

, x = 2, 3,…, N





 sgn

, y = 2, 3,…, N





 sgn

, z = 2, 3,…, N



Total harmonic distortion of the phase current



THD







Total harmonic distortion of the phase voltage



THD







Harmonic distortion of up to three harmonics on the phase

current

Ix 

, x = 2, 3,…, N

I y 

, y = 2, 3,…, N

Iz 

, z = 2, 3,…, N



Harmonic distortion of up to three harmonics on the phase

voltage:

Vx 

, x = 2, 3,…, N

Vy 

, y = 2, 3,…, N

Vz 

, z = 2, 3,…, N

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