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Power Factor Formula

06/24/2013 3:17 AM

As i know power factor formula = kwh/kvah = active/reactive power.

But Ethiopian Electricity Board calculate power factor as following

PF = Cos (Inv.tan (Reactive/Active)).

Kindly reply with full details.

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#1

Re: Power Factor formula

06/24/2013 4:03 AM

They are two expressions of the same thing.

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#2

Re: Power Factor formula

06/24/2013 2:31 PM
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#3

Re: Power Factor Formula

06/25/2013 9:59 AM

If we shall measure the voltage and the current with an oscilloscope we shall get a curve representing voltage and current wave and we shall see an angle between these two curves. cosinus of this angle-fi=(volt,current)- will be the p.f.[power factor]=cos(fi).

kwh=active ENERGY [measured by kwh meter (monitor) and not by wattmeter!]

kVArh=reactive energy[could be measured on a kVArh monitor]

kVAh=apparent ENERGY[usually it is not measured]

kwh=Volt*Current*cos(volt,current)*hour [for a steady-state load]

kvarh=Volt*Current*sin(volt,current)*hour

kVArh/kwh[reactive energy/active energy]= Volt*Current*sin(volt,current)*hour/Volt*Current*cos(volt,current)*hour=

sin(fi)/cos(fi)=tan(fi).

arctan(fi)=Inv.tan =fi. That means p.f.=cos(fi)=cos[Inv.tan(reactive energy/active energy)]

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#4

Re: Power Factor Formula

06/26/2013 5:30 AM

The first Equation power factor formula = kwh/kvah = active/apparent power

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