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Total 3-phase real power = sqrt(3) x VLL x ILL x cos (theta) = 3 x Vp x Ip x cos (theta)

Total 3-phase reactive power = sqrt(3) x VLL x ILL x sin (theta) = 3 x Vp x Ip x sin (theta)

where: ?LL denotes line-to-line and ?p denotes phase-to-ground quantities

Therefore, S = sqrt( P2+Q2) =

= sqrt[32 x Vp2 x Ip2 x cos2 (theta) + 32 x Vp2 x Ip2 x sin2 (theta)]

= sqrt[32 x Vp2 x Ip2 x {cos2 (theta) + sin2 (theta)}]

= sqrt[32 x Vp2 x Ip2 x {1}]

= 3 x Vp x Ip (works for the line-to-line case, as well)

Hope this helps,

Chris

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What is three-phase vars?

Three-phase VARs (volt-ampere reactive) refer to the reactive power in a three-phase electrical system, which is crucial for maintaining voltage levels and ensuring the efficient operation of electrical equipment. Reactive power does not perform any real work but is essential for sustaining the magnetic fields in inductive loads like motors and transformers. In a three-phase system, VARs help balance the power factor, improving energy efficiency and reducing losses in transmission and distribution networks. Proper management of VARs is vital for power quality and system stability.


What is the definition of reactive power?

For Single Phase, P = VI cos (theta) therefore cos(theta) = P/VI here P = Power V = voltage I = current theta = phase angle current to voltage cos(theta) = power factor For Three Phase, P = 3VI cos(theta) where V = phase voltage and I = phase current and theta = phase angle


How is a three phase agricultural motor used when there is no power supply?

With no three phase power supply you can't use a three phase motor of any kind at all!


How you convert the value of single phase power to value of 3 phase power?

Electric power is measured in watts. It does not matter if it is single phase or three phase. All things being equal, for the same load, the power measured in a single phase circuit or a three phase circuit, will be the same.


Can you convert a single phase power supply into a three phase stabiliser to power a home?

Houses generally run on single phase power. It would not make sense to convert single phase to three phase to run a house. Please restate the question.

Related Questions

How to Calculate three phase watts with unbalanced phase current?

You will need to determine the power per phase, and add them up to give the total power of the three-phase load. To do this, you will need to multiply the phase-voltage by the phase current by the power factor -for each phase.


What is three-phase vars?

Three-phase VARs (volt-ampere reactive) refer to the reactive power in a three-phase electrical system, which is crucial for maintaining voltage levels and ensuring the efficient operation of electrical equipment. Reactive power does not perform any real work but is essential for sustaining the magnetic fields in inductive loads like motors and transformers. In a three-phase system, VARs help balance the power factor, improving energy efficiency and reducing losses in transmission and distribution networks. Proper management of VARs is vital for power quality and system stability.


How do you calculate kvar of capacitor bank if you know only the kw?

Your question is rather vague. Are you asking how do you determine the reactive power of a capacitor bank necessary to improve the power factor of a load (in which case, is it a single-phase or a three-phase load), or are you asking how to convert a capacitor bank's capacitance into reactive power?If the former, then you need to know the reactive power of the load before power factor-improvement, and the resulting reactive power after power-factor improvement, and the difference between these two will tell you how much reactive power you need to add in the form of capacitors.


What is the definition of reactive power?

For Single Phase, P = VI cos (theta) therefore cos(theta) = P/VI here P = Power V = voltage I = current theta = phase angle current to voltage cos(theta) = power factor For Three Phase, P = 3VI cos(theta) where V = phase voltage and I = phase current and theta = phase angle


How is a three phase agricultural motor used when there is no power supply?

With no three phase power supply you can't use a three phase motor of any kind at all!


How do you convert a single phase to a three phase motor?

You need three phase power to get three phase power. If you only have one phase, you will need some kind of inverter or motor-generator set. Generally, however, the demands of a three phase motor will exceed the capability and efficiency of these "tricky" solutions. It is best to simply contact your local power company and have them provide the proper three phase power to your facility.


How you convert the value of single phase power to value of 3 phase power?

Electric power is measured in watts. It does not matter if it is single phase or three phase. All things being equal, for the same load, the power measured in a single phase circuit or a three phase circuit, will be the same.


How do you start a three phase motor to a single phase power supply?

You don't. A three phase motor will not start unless it is connected to a three phase supply.


How do you use a one phase motor in place of a three phase motor?

To use a single/one phase motor instead of a three phase motor is possible if you have a three phase power supply as you will only need to tap one of the three phases together with neutral and an earthwire, however to use a three phase motor instead of a single phase will require the provision of three phase power supply.


How is three phase power useful to consumers?

Three phase power is always delivering power on one of the phase continuously. This is very useful to manufacturing industries to operate the machines, which require high power utilization.


Can you make a three phase light ballast work on 110 or even 220?

No. A three-phase ballast requires three-phase power


Can you convert a single phase power supply into a three phase stabiliser to power a home?

Houses generally run on single phase power. It would not make sense to convert single phase to three phase to run a house. Please restate the question.