How to Calculate Three-Phase Power & kWh | Career Trend

How to Calculate Three-Phase Power & kWh

How to Calculate Three-Phase Power & kWh
Apr 1, 2011
2 minute read

Three-phase power is used primarily in power distribution systems such as the power systems that power homes and businesses. Three-phase is referred to as three phase because alternating current flows along three separate conductors. Each current is slightly delayed or out-of-phase with the other. For example, if you assume conductor A as the lead, conductor B is delayed one-third of a cycle in comparison to A and conductor C is delayed two-thirds of a cycle in comparison to A. Together the conductors create the 3-phase circuit and the associated current, voltage and power levels.

Determine the phase voltage for each conductor. Connect a voltmeter between each conductor and neutral. Record the voltage. Do this for all three conductors. As an example, assume V1 = 300 V, V2 = 280V and V3 = 250 V

Determine the phase currents for each conductor. Connect an ammeter between each conductor and neutral. Record the current. Do this for all three conductors. As an example, assume I1 = 130 amps, I2 = 120 amps and I3 = 110 amps.

Calculate the power for each phase. Power is voltage times current or P = VI. Do this for each conductor. Using the examples above:

P1 = V1 x I1 = 300V x 130 amps = 39,000 VA or 39 KVA P2 = V2 x I2 = 280V x 120 amps = 33,600 VA or 33.6 KVA P3 = V3 x I3 = 250V x 110 amps = 27,500 VA or 27.5 KVA

Calculate the total 3-phase power, or "Ptotal," by adding the power of each phase together: Ptotal = P1 + P2 + P3. Using the above example:

Ptotal = 39KVA + 33.6 KVA + 27.5 KVA = 100.1 KVA

Convert Ptotal from KVA into Kilowatts using the formula: P(KW) = P (KVA) x power factor. Refer to operational specifications to find the power factor associated with the system. If we assume a power factor of 0.86 and apply the numbers from above:

P (KW) = P (KVA) x power factor = 100.1 KVA and 0.86 = 86KW

Determine Kilowatt-hours (kWh) associated with power usage using the formula: P(KW) x hours of use. If we assume 8 hours of use and continuing with the example:

kWh = P(KW) x hours of use = 86 KW x 8 hours = 688 kWh

Photo Credits

lovelyday12/iStock/GettyImages

Dwight Chestnut

Dwight Chestnut has been a freelance business researcher and article writer for over 18 years. He has published several business articles online and written several business ebooks. Chestnut holds a bachelor's degree in electrical…

Sponsored
Career Trend Logo

Career Trend is the go-to guide for readers navigating their careers, offering diverse and credible content for those looking to achieve professional success.

Property of TechnologyAdvice. © 2026 TechnologyAdvice. All Rights Reserved

Advertiser Disclosure: Some of the products that appear on this site are from companies from which TechnologyAdvice receives compensation. This compensation may impact how and where products appear on this site including, for example, the order in which they appear. TechnologyAdvice does not include all companies or all types of products available in the marketplace.