How do I calculate 3 phase power using a CT with only 1 phase measurement?

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Discussion Overview

The discussion centers on calculating three-phase power using a current transformer (CT) that measures only one phase. Participants explore the implications of measuring a single phase in a balanced three-phase system and the formulas applicable for calculating kW or kVAh based on the available data.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant suggests calculating power using the formula 400V * 130A * sqrt(3) for kVAh, assuming a balanced system and that 400V is the phase-to-phase voltage.
  • Another participant agrees with the kVAh calculation but notes that to determine kW-hrs, the phase angle must also be known.
  • A different participant challenges the initial calculation, stating that the correct approach for three-phase power is 3 * phase-to-neutral voltage * current on one phase, leading to the formula 3 * 400V * 130A.
  • One participant provides two equations for calculating power in a three-phase system, emphasizing the relationship between phase-to-neutral and phase-to-phase voltages.
  • Another participant expresses uncertainty about one of the equations but acknowledges the correctness of the adjusted formula using 400V/sqrt(3) for phase-to-neutral voltage.
  • A suggestion is made regarding existing products that can measure current, voltage, power factor, and energy, directing participants to a specific website.
  • A question is raised about which type of power is being measured: apparent power, active power, or reactive power.

Areas of Agreement / Disagreement

Participants express differing views on the correct formulas for calculating power in a three-phase system. There is no consensus on the method to be used, and the discussion remains unresolved regarding the appropriate approach and the implications of measuring only one phase.

Contextual Notes

Participants rely on assumptions about the balance of the phases and the definitions of phase-to-phase and phase-to-neutral voltages, which may affect the calculations. The discussion does not resolve the dependencies on these definitions or the phase angle for accurate kW-hr calculations.

roro36
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I have never really studied the heavy side of electrical engineering. We are currently running a machine that runs off 3 phase supply. I want to measure the kW or KVAh on this machine using a CT which is all already set up. The Current at maximum on 1 phase reads at about 130A, and the phases are balanced. So I wanted to know how to calculate the power of the system regarding the fact I'm only measuring 1 phase? Although it seems to me that the current flowing in 1 phase is the tatal current used by the machine in any case, so I would calculate 400V*130A*sqrt3 = Power and just times this by hours and divide by 1000 to kVAh.
 
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Yes, assuming that your phase to phase voltage is 400 volts RMS then that is correct for the KVA-hrs. If you want to know the kW-hrs you'll also need to know the phase angle.
 
I believe this is wrong if 400V is your phase to phase voltage.

Power in a three-phase system is 3*phase to neutral voltage*current on one phase. So this would be 3*400V*130A.
 
3-phase system:

Power = 3 x Power of 1-phase = 3 x phase to neutral voltage x current in one phase x power factor

or
Power = sqrt3 x phase to phase voltage x current in one phase x power factor

as phase to phase voltage is sqrt3 x phase to neutral voltage, both equation will result same.
 
Wasn't sure about the second equation but yeah this looks correct.

And I can't edit my last post but in "3*400V*130A", instead of 400V I meant "400V/sqrt3" if 400V is indeed the phase to phase voltage as mentionned earlier.
 
there have some already product, that can use CT, measure curren,voltage,PF,Wh etc. there I suggest you can find the meter here http://www.cqbluejay.com/view_50.html
 
Last edited by a moderator:
which power do you want to measure apparent power, active power, or reactive power?
 

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