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Power Factor

07/31/2011 5:19 AM

why power factor = COS ϕ ?

why not sin ϕ ?

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Anonymous Poster #1
#1

Re: power factor

07/31/2011 6:05 AM

You can always use sin(φ+π/2) if you have some obsession with sin. (Is I getting too religious?) S.M.

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#2

Re: Power Factor

07/31/2011 9:10 AM

As others have stated, you can always get back to a sine equation relationship if you need but this sidesteps your question. More to the point, because it is so easy to transform between these equivalent operators you, praveen2011, have astutely implied that there must be an advantage to choosing cosine instead of sine as the mathematical function. Well you are correct there is a set of related mathematical advantages but it is a subtle and some would say insignificant advantage.

By choosing cosine over sine when the operator works on a multiple of 2pi the result will just contain a real value and not any imaginary value. Because of this the McLaurin infinite summation series for cosine does not include an iterated addition.

Now as you go deeper into the mathematics, you'll find other relationships that it is just a little easier to refer to a cosine function instead of a sine function but I'll leave that to your studies.

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#4
In reply to #2

Re: Power Factor

07/31/2011 9:47 AM

Awk ! Gahhh !

GA anyway

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#3

Re: Power Factor

07/31/2011 9:34 AM

.. because the COS ϕ gives you the real power, the Watt, the sin ϕ gives you the reactive power , the VAR.

Do a bit of study of basic circuit theory, refer to the phasor diagram of voltage and current, you will understand.

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#5

Re: Power Factor

07/31/2011 6:21 PM

Here is one good explanation. Check the red options on the left for more info.

http://www.the-power-factor-site.com/

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#6

Re: Power Factor

08/01/2011 4:39 AM

WHAT IS POWER FACTOR (PF)?

PF by definition is the ratio of real to apparent power:


PF=W / VA.

If you know trigonometry u can get the answer.
Else, study it to know the meaning of cosine of angle.

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#7
In reply to #6

Re: Power Factor

08/01/2011 7:27 AM

why we put the real power in X - axis :

what will happen if i put real power in Y - axis:

please tell me....

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#8
In reply to #7

Re: Power Factor

08/01/2011 7:39 AM

Good idea

Too bad it doesn't work.

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#9
In reply to #8

Re: Power Factor

08/01/2011 10:19 AM

To add to my awesome post, here is another famous explanation of PF.

The 'SIN' is above and the 'CAUSE' is below.

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#10
In reply to #8

Re: Power Factor

08/01/2011 10:54 AM

Quite true. But if engineering standards had chosen to define the power factor angle by the complimentary angle of this right triangle θ instead of φ on this diagram where θ+φ=π/2 then we would be using sinθ to calculate the real power.

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#11
In reply to #10

Re: Power Factor

08/01/2011 11:37 AM

A cos by any other name.....

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Anonymous Poster #2
#12

Re: Power Factor

08/01/2011 12:24 PM

V = Phasor (or some sort of a vector if you want it that way)

I - ditto

P = Scaler

P = V.I (dot product)

and as one knows from the vector dot products it is the cos components that multiply.

The component of one vector into the direction of of the other is the cosine multiplier where as the sine part is at the 90o from it (and that infact if you look is the imaginary power)

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#13

Re: Power Factor

08/02/2011 5:57 PM

The basic definition of power factor is Cos of angle between Applied voltage to a load and current through it.

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