To calculate 3 phase kWh from measuring amps on each phase
Use this formula; KW=(volts(avg) x amps(avg) x power factor x 1.732) divided by 1,000.
If you don'thave a power factor use 0.9.
Also make sure you use the larger voltage of the system voltages, ex)
if it's 480/277 use 480 in the formula...208/120 use 208...240/120 use
240.
If possible use a volt meterto read the actual voltage between each phase.
Use the average of the three voltage readings(V1+V2+V3 / 3).
Take the amperage reading from each phase and average them (A1+A2+A3 / 3).
Tofind KWh, just multiply KW by the amount of hours your system will be serving the load.
Example:
An operating three phase motor
has voltages measured with a voltmeter on each phase of 453, 458,and
461 volts, amperage measured on each phase with an ammeter are 14.1,
13.9, and 13.8 amps,power factor was measured as 0.82.
(453 + 458 + 461) / 3 = 457V(14.1 + 13.9 + 13.8) / 3 = 13.9A(457V x 13.9A x .82pf x 1.732) / 1000 = 9.02 Kwatts
To calculate the kWh for one days use:
9.02 Kw x 24hrs = 216.48 kWh
If you are serving unbalanced loads
and the amps vary between phases, you can calculate eachphase
separately. In this case, you are calculating three separate
single-phase values, so the 1.73multiplier is not used, and you use the
phase to neutral voltage.
Example:
Phases measured with a voltmeter at
272, 264.4, and 266.2 volts (A-N, B-N, C-N), amperagemeasured on each
phase with an ammeter are 10, 25, and 16 amps, power factor is assumed
as 0.9:
(272V x 10A x .9pf) / 1000 = 2.45kw
(264.4V x 25A x .9pf) / 1000 = 5.95kw
(266.2V x 16A x .9pf) / 1000 = 3.83kw
2.45 + 5.95 + 3.83 = 12.23kw total
To calculate the kWh for one days use:
12.23 Kw x 24hrs = 293.52kWh (IF the load remains constant!)
This method also works for balanced
loads, it just takes longer and is more work, but you get thesame
answer (actually slightly more accurate, since you are not averaging)
as the first method!
Modification of the example above for an accurate total kw:
If you are serving unbalanced
loads and the amps vary between phases, you can calculate eachphase
separately, however you must still average the phases, and multiply by
the square root of 3.
Example:
Phases measured with a voltmeter at 272, 264.4, and 266.2 volts (A-N, B-N, C-N).
We will assume480v phase to phase
. Phase to neutral voltages will not
be used in the calculation. Amperagemeasured on each phase with an
ammeter are 10, 25, and 16 amps, power factor is assumed as 0.9:
(10 + 25 + 16) / 3 x 480 x 1.732 x 0.9 / 1000 = 12.71 kw total
To calculate the kWh for one days use:
12.71 Kw x 24hrs = 305.26 kWh (IF the load remains constant!)