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My question is, how or why does it give us the negative and zero sequence impedance ?, I don't quite understand the method

- Thread starter TheRedDevil18
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My question is, how or why does it give us the negative and zero sequence impedance ?, I don't quite understand the method

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anorlunda

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Think of the underlying reality. Positive, negative and zero sequences are merely mathematical tricks used to analyze unbalanced positive three phase networks. By cleverly creating unbalance unbalances in your test methods, you isolate the components.

My question is, how or why does it give us the negative and zero sequence impedance ?, I don't quite understand the method

But what do those negative and zero sequence values represent? Unbalances.

You can combine P, N, Z components in ways to represent other kinds of unbalance that you did not test.

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cnh1995

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Zero sequence impedance is nothing but the leakage impedance of the alternator. You can connect the stator phases in series or parallel such that instantaneous current through each of them is in the same direction. Formula for each case will be different, but it should ultimately give the same value. This is how we did it in lab. Here, the magnetic field in the air gap is zero because all the windings carry the same current, which gives rise to three equal fluxes 120° apart in space.Then to measure zero sequence impedance, we short the rotor and connect the stator in open delta and inject a current.

I don't know the method you described. Could you provide a circuit diagram?

About the negative sequence impedance procedure- You are creating a line-line fault. So the fault current will consist of both +ve and -ve sequence currents (no zero sequence). I will think about how the separation of the components is done and post again later.

Meanwhile, here is another way of measuring the negative sequence impedance:

Short the rotor and give 3 phase supply to the stator. Rotate the rotor using some prime mover in the opposite direction to that of the stator mmf. Now, Vph/Iph gives the negative sequence impedance (reactance) of the alternator. This method is more intuitive and easy to understand as per the definition of -ve sequence current.

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cnh1995

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Actually, we measure the line voltage VTo measure negative sequence impedance of an alternator, we short the white and blue phases, measure the current and then divide it by the voltage of the red phase

After playing with some equations for some time, I managed to prove how this procedure gives the negative sequence impedance.

Not a single book or lab manual I referred so far gives any explanation about this method. But it turns out that this is a clever method designed from the equations for LL fault.

You are shorting the white (you sure it's white and not yellow?) and blue phases.

Find an expression for negative sequence component of voltage V2 in terms of line voltages. It comes out to be,

V

Now find an expression for fault current (i.e. -I

This gives

I

∴Z

=(V

..which is what we get from the given arrangement.

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Zero sequence impedance measurement of alternator:I don't know the method you described. Could you provide a circuit diagram?

Xo = V/3I

I've read that for delta connections, the zero sequence currents are zero on the lines but are present within the phases. Not sure if that applies here

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cnh1995

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The stator phases are connected in series (I don't know if that is called 'open delta') in the diagram you posted.Zero sequence impedance measurement of alternator:

Zero sequence currents do not create a rotating magnetic field. So the reactance offered is largely due to the leakage reactance of the windings. Connecting the windings in series gives rise to three currents equal in magnitude and in phase. These currents are 120 apart in space, so there is no rotating field. To calculate leakage reactance per phase, we use XI've read that for delta connections, the zero sequence currents are zero on the lines but are present within the phases. Not sure if that applies here

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