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Power-User

Join Date: Feb 2010
Posts: 187
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Power Angle

03/15/2010 5:42 PM

Greeting all,

I know, when power angle is less than 90 degree, the system is stable. When it is more thant 90 degree it is not stable

the power flow formula is as below

P = Vs x Vr x Sin0 / X


Suppose, if we have a sytem with power angle of 30 degree we call it stable and if the power angle is at 150 degree we say it is not stable. Why?

But according to formula both sin(30) and sin(150) are same.

Hope to make it a little bit clear for me

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Guru
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Location: Alabama
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#1

Re: Powr Angle

03/15/2010 6:54 PM

Check here

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Guru

Join Date: Feb 2009
Location: Houston, USA
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#2
In reply to #1

Re: Powr Angle

03/16/2010 2:43 PM

The concept of stability is different than what it was thought here in original post.

The power angle δ is the difference of the electrical angle between the magnetic field of the rotor and the rotating stator field. For a generator, the stator field lags the rotor field. Whenever any disturbance (load change or major fault) occurs, this angle is also disturbed (oscillates, called hunting) and finally come to rest (for stable case) to a new position causing a change of δ or keeps oscillating (for unstable case). With the increase of load the stabilized δ becomes larger and decrease of load δ becomes smaller. If there is a sudden increase of load, the oscillation (hunting) of δ is also bigger and if it goes beyond 90º, the stator field basically enters in the field of opposite pole and experiences more disturbances and finally becomes unstable (keeps oscillating), rather than coming to rest. If the value of δ is smaller, it has little chance to go beyond 90º even with larger disturbance (load change) but if it is already close to 90º, a small disturbance can cause the generator unstable and the generator goes out of synchronism.

- MS

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Anonymous Poster
#3

Re: Power Angle

03/17/2010 5:15 AM

power=v i cos phi

v=voltage

i=current

cos phi=power factor

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Power-User
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Join Date: May 2007
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#4

Re: Power Angle

03/17/2010 6:37 AM

If the angle between active power and total power is you so called power angle, we normally call if power factor (for the whole frequency spectrum) or cos fi (in case we only look at the fundamental frequency).

Then the angle of the power factor can be bigger than 90°, but this means that your energy source becomes a energy load. It means that the direction of the energy path is reversed. You system that normally delivers the energy, now consumes energy.

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Power-User

Join Date: Feb 2010
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#5
In reply to #4

Re: Power Angle

03/17/2010 1:04 PM

Dear rudy.leurs@telenet.be,

I am just talking regarding to power angle and not power factor. You must know the difference.

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Anonymous Poster
#6

Re: Power Angle

03/17/2010 2:45 PM

MS has given some links and explained the subject.

Consider the physical significance of the two magnetic fields (rotor and stator)

When the two are aligned, the õ=0 and no power transfer takes place.

As the mechanical/electrical power is demanded (based on it is motor, generator) let us consider motor for simplicity, the rotor slows down abit. The angle between the new magnetic fields (the stator pulling the rotor) is what transfers the power.

Increase the drag (ie load on motor) and the angle automatically increases till it becomes maximum at 90o.

Increase the load further - what happens? mechanical demand is more than the electrical power suppliable.

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Power-User

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#7
In reply to #6

Re: Power Angle

03/17/2010 2:54 PM

that could be one reason but a good explaination is given by my friend as below

I asked the same question in my EE lab years ago and my prof ran me through a series of questions and thought exercises for the answer. I'll see if I can briefly explain.

At 30 degrees power angle, if a system disturbance occurs and causes the generator's power angle to oscillate a little, it will settle out back at 30 degrees. As it goes to 31 degrees (sin 31 = 0.515, 3% increase) power flow to the external system increases. The added load on the generator increases torque on the turbine which brings the angle back toward 30 degrees, where it settles out.

Look at the same occurrence at 150 degree power angle. A bump occurs and the angle goes to 151. But power output drops about 3% so the turbine's torque can increase the power angle to 152 degrees then 153, 160 .... until it accelerates on past 180 and hopefully pulls back into synch at 30 degrees. Meanwhile, the currents have grown very large because the two voltages went 180 out of phase.

What we are looking for in a system is a stable operating point where the natural tendency in response to a disturbance is a return to the original operating point. It's like balancing a broom on end or hanging from a hook. Both hold the weight directly in line with the support point, but when the broom is bumped and starts to swing, gravity helps the hanging broom settle out and accelerates the balanced broom to the floor.

It is what I needed to know.

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Anonymous Poster
#8
In reply to #7

Re: Power Angle

03/17/2010 10:01 PM

That is exactly what was mentioned above.

BTW - you can not reach 1500 power angle, cross 90 and it will be unstable and stall.

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Anonymous Poster
#10
In reply to #7

Re: Power Angle

03/23/2010 2:04 PM

when torque increase ,y the angle shud settle back at 30 degrees?....wat is relationship between power angle and torque of gen?

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Anonymous Poster
#9

Re: Power Angle

03/18/2010 6:25 AM

thank you for your question.

but why you called the power unstable? what do you mean by unstable power? it is not unstable power but power direction is reverse. moreover sin(30)=0.5 and sin(150)= -0.5 so sin(30) is not equal to sin(150).

so power is negative for sin(150) that means the direction of power is reverse than sin(30)

so in brief that is not unstable power but reverse direction power.

N.B if your protective Relay(distance relay) seen negative power then it is harmful.

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