User talk:174.118.142.187/Sandbox

Data Collection

• Fairchild Application Note "The power factor can vary from 0 to 1 and can be either inductive..." in lede paragraph.

• Fluke 434 Series II Energy Analyzer in specifications states "Power factor (Cos j/DPF) Measurement range: 0 to 1

Fluke 434/435 manual states "Interpretation of power factor readings... PF = -1, device generates power". "If you see negative power or power factor readings and you are connected to load, check to make sure the arrows on your current clamps are pointed towards the load."

Fluke 430 Series specification states the same o to 1 and Measurement method: "Calculated total watt/VA"

• Voltech PM1000+ Precision Power Analyzer states "Power Factor: Range: 0 to +/-1.000" and on same spec page "+ indicates leading PF and - indicates lagging PF". This device does not indicate negative power factor for reverse connections but to indicate lagging PF.

Metering phasors

Where:

a,b,c represent phase identifiers

Ean, Ebn, Ecn represent phase to neutral voltages (volts)

Eab, Ebc, Eca represent phase to phase voltages (volts)

Ia, Ib, Ic represent phase line currents (amperes)

In represents neutral current (amperes)

$\theta$ represents the phase angle each current lags the listed potential (degrees)

$Pt$ represents total system power (watts)

3 phase 4 wire (wye) using 3 element metering

See Measurement Canada Standard Drawing

$Pt=IaEan*cos(\theta )+IbEbn*cos(\theta )+IcEcn*cos(\theta )$

Each line current and respective voltage is metered as three single phase circuits and then totalized in the meter.

3 phase 4 wire (wye) using 2.5 element metering

See Measurement Canada Standard Drawing

$Pt=IaEan*cos(\theta )-IbEan*cos(\theta )-IbEcn*cos(\theta )+IcEcn*cos(\theta )$

Ia and Ic currents are metered with their respective voltages as two single phase circuits. Ib is fed, polarity reversed, through an additional (split) winding on each element. Since the reversed Ib is 60° out of phase (at system unity PF) from each potential each element will meter cos(60°) or 50% of Ib, resulting in 100% metering for Ib. The two elements are totallized in the meter. Balanced system voltages are a requirement for technique accuracy.

3 phase 4 wire (wye) using 2.0 element metering and delta connected CTs

See Measurement Canada Standard Drawing

$Pt=(Ia-Ib)Ean*cos(\theta )+(Ic-Ib)Ecn*cos(\theta )$

Ia and Ic currents are metered with their respective voltages as two single phase circuits. Ib is fed, polarity reversed, via a current transformer delta connection through each element. Since the reversed Ib is 60° out of phase (at system unity PF) from each potential each element will meter cos(60°) or 50% of Ib, resulting in 100% metering for Ib. The two elements are totallized in the meter. Balanced system voltages are a requirement for technique accuracy.

3 phase 3 wire (delta) using 2 element metering

See Measurement Canada Standard Drawing

$Pt=IaEab*cos(\theta )+IcEcb*cos(\theta )$

Two phase line currents are metered with phase to phase voltages. The odd combination of each current and voltage results in using voltages 1.732 higher and shifted by 30° resulting in 1.732 EI * cos(30°) = 1.5EI (at system unity pf) on each element. The elements are totalized to 3EI * cos($\theta$) and correct metering. Balanced system voltages are a requirement for technique accuracy.