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Participant

Join Date: Jun 2007
Posts: 2

Phasor sum

06/23/2007 1:36 PM

Hi

I want to use a PLC to detect a phase shift between two vectors.

I want to find a vector sum of two values.

Pls who can help how to detect the phase shift ?

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Power-User

Join Date: Jan 2007
Location: Berlin (Germany)
Posts: 332
Good Answers: 1
#1

Re: Phasor sum

06/24/2007 3:57 AM

Hello,

I think you should give some more info to get an answer you can use.
What kind of vectors?
Do you have two pairs of complex numbers or two analog voltages ??

Regards Uwe

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Participant

Join Date: Jun 2007
Posts: 2
#2
In reply to #1

Re: Phasor sum

06/24/2007 4:54 AM

Hellow uweka

Thank you for your comment.

I want to measure two analog voltage values.

thanks

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Power-User

Join Date: Jan 2007
Location: Berlin (Germany)
Posts: 332
Good Answers: 1
#3

Re: Phasor sum

06/24/2007 7:34 AM

Hi,
mathematically you have

u1=U1p*cosωt

u2=U2p*cos(ωt+φ2) with

Up=√(U1p²+U2p²+2*U1p*U2p*cosφ2 and

φ=arctan((U2p*sinφ2)/(U1p + U2p*cosφ2)).

For Up: I would get the peak values with an ADC.

For φ: I would use a zero crossing comparator to get the phase signals of U1 and U2 and then make a time measurement of a) the signal period and b) the delay U1 to U2.


Regards Uwe

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Associate

Join Date: May 2007
Posts: 27
#4
In reply to #3

Re: Phasor sum

06/25/2007 12:28 PM

To get peak value of your measured voltage

Time's (*) RMS value by 1.414

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salahat (1); Snakemike (1); uweka (2)

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