Calculating kW for 3-Phase Machine: Using Voltage, Amps, and Power Factor?

I need to know how much electricity a machine uses in kW please.

On the machine information plate it states: 460 volts, 60 Hz, 161 amps, and it is a 3 phase.

I took the readings for the volts and amps:
Phase 1- 271 volts & 37.68 Amps
Phase 2- 271 volts & 37.62 Amps
Phase 3- 273 volts & 38 Amps

I cannot figure out the Power Factor to apply to the formula I am using:
kW= (Volts x Amps x Power Factor x Sqrt 3) / 1,000

I know Power Factor = Real Power/ Apparent Power, however I cannot figure out the real power. I believe the apparent power is (460 x 161 x Sqrt 3) / 1,000 = 128.27 kVA?

Could I just average the voltage readings and then average the amperage readings for the 3 phases, and then do (Avg volt x Avg amp x Sqrt 3) / 1,000 to get the true/real power without using the Power Factor?

Are my assumptions correct? Can someone please help me calculate the electrical consumption please! Thank you

Hi,

You need the power factor for each phase. You can't average the voltages if you want the exact value. If you don't know the PF, you can actually measure it, use a power meter to measure the power factor, if not you can use the formula PF = True Power(kW)/Aparent Power(kVA).

Your Apparent Power is already correct. For your True Power, you can also measure that. You can use the two wattmeter method to get the value of your total real power.

Annual electricity use, expressed in kWh, depends on electrical power.