Hioki 3196 - Page 215

12.4 Formulae
209
Harmonic voltage-current phase difference θk (deg)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
θ 1k
θ ck= θ cIk- θ cUk
θ 1k
θ 2k
θ 1k
θ 2k
θ 1k
θ 2k
θ 3k
θ 1k
θ 2k
θ 3k
• Calculate harmonic power at 2048 points for voltage and current (about once every 10 cycles at 50 Hz or
every 12 cycles at 60 Hz).
• When Psumk=Qsumk=0,
θ k=0°.
• Psumk indicates the total harmonic power. (See the harmonic power formula.)
• Qsumk indicates the total harmonic reactive power. (See the harmonic reactive power formula.)
c: measured channel, k: order for analysis, r: resistance after FFT, i: reactance after FFT
θsum
Qsumk
Psumk
----------------
⎩⎭
⎨⎬
⎧⎫
1–
tan= θsum
Qsumk
Psumk
----------------
⎩⎭
⎨⎬
⎧⎫
1–
tan=
θsum
Qsumk
Psumk
----------------
⎩⎭
⎨⎬
⎧⎫
1–
tan=
θsum
Qsumk
Psumk
----------------
⎩⎭
⎨⎬
⎧⎫
1–
tan=
Voltage fluctuation ΔU (Vrms)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
Δ U(c)=Uc-Ur Δ U(1)
Δ U(2)
Δ U(12)
Δ U(32)
Δ U(12)
Δ U(23)
Δ U(31)
Δ U(1)
Δ U(2)
Δ U(3)
“Ur” is the same value as the nominal voltage for standard voltage with respect to voltage fluctuations.
c: measured channel, r: resistance after FFT