Question about transformer reflected source

In summary, the conversation discusses the use of a Thevenin equivalent source to replace the primary circuit of a transformer. The open-circuit voltage is given by Voc=NV1=NVs, and it is assumed that there is no voltage drop across the source impedance. However, the primary circuit itself is a closed circuit, so there should be some current and voltage drop across the supply impedance. The short circuit current is found by NIsc=Vs/Zs, which implies that the primary circuit impedance is ignored. It is suggested that this may be because the primary impedance is usually very small compared to the load impedance and can be neglected. However, to be more precise, the non-ideal transformer model should be used which includes components for
  • #1
kelvin490
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The following show the idea how a Thevenin equivalent source is used to replace the primary circuit of transformer.
https://www.dropbox.com/s/0kaazx1d1srgirz/reflectedsource.jpg?dl=0
https://www.dropbox.com/s/0kaazx1d1srgirz/reflectedsource.jpg?dl=0

In textbook it is commonly stated that the load impedance sees an equivalent source and the open-circuit voltage is given by Voc=NV1=NVs, usually it is said that there is no voltage drop across the source impedance therefore V1=Vs in this equation. However, the primary circuit itself is a closed circuit, there should be some current and voltage drop across impedance of the supply, how V1 can be equals to Vs?

The second question is, the short circuit current is found by NIsc=Vs/Zs. It implies that when the secondary circuit is shorted, the primary current will be Vs/Zs. It seems that in this case the impedance of the primary coil is ignored. Why?
 
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I would say it's because that particular impedance is usually very small compared to the load impedance and can, therefore, be neglected since it has no huge contribution to the final answer.

As for your second question, the short circuited current is Vs/Zs. I don't see where you're having trouble: The primary circuit impedance is in the denominator.
 
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  • #3
EverGreen1231 said:
I would say it's because that particular impedance is usually very small compared to the load impedance and can, therefore, be neglected since it has no huge contribution to the final answer.

As for your second question, the short circuited current is Vs/Zs. I don't see where you're having trouble: The primary circuit impedance is in the denominator.

I don't know why the short circuited current is Vs/Zs, the primary coil wiring around the iron coil should have its impedance (and it induces flux), it should be added to the Zs to get the total impedance of the primary circuit, is that right?
 
  • #4
kelvin490 said:
I don't know why the short circuited current is Vs/Zs, the primary coil wiring around the iron coil should have its impedance (and it induces flux), it should be added to the Zs to get the total impedance of the primary circuit, is that right?

That's right, but here it seems you're using a simplified idea of a transformer rather than the model that's used to take the things you're talking about into account. The model here indicates Isc = Vs/Zs since you short circuit across the load and the current will no longer flow through the load impedance. If you wanted to be more precise you could say that Isc = Vs/(Zpri+Zsec+Zs), but this is outside the scope of the picture you've provided and generally has little purpose in the teaching of conceptual ideas. To take into account coil impedance you'd use the non-ideal transformer model that includes components for the resistive and inductive coil losses, along with the magnetization and hysteresis losses of the core.
 
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kelvin490 said:
It seems that in this case the impedance of the primary coil is ignored. Why?
Because whoever drew that image drew the primary as only a coil, it has no Z term like he shows for secondary.

He probably figured but didn't say out loud that primary Z is lumped in with that Zs block.

Scrutinize your source document and see if maybe there's a statement to that effect hidden in the fine print ?
 

1. What is a reflected source in a transformer?

A reflected source in a transformer is an equivalent source that appears on the opposite side of the transformer from the actual source. It is created by the transformer's winding ratio and impedance, and allows for energy transfer between the primary and secondary sides.

2. How is a reflected source calculated in a transformer?

The reflected source in a transformer can be calculated using the transformer's winding ratio and impedance. The reflected source voltage is equal to the actual source voltage multiplied by the winding ratio, and the reflected source impedance is equal to the actual source impedance divided by the square of the winding ratio.

3. What is the purpose of a reflected source in a transformer?

The purpose of a reflected source in a transformer is to allow for efficient energy transfer between the primary and secondary sides. It also helps to match the impedance of the load to the source, ensuring maximum power transfer.

4. Can a transformer have multiple reflected sources?

Yes, a transformer can have multiple reflected sources if it has multiple windings and connections. Each winding and connection will create its own reflected source, which can be used for different purposes such as voltage conversion or isolation.

5. What are the implications of a reflected source on transformer performance?

The presence of a reflected source in a transformer can affect its performance in a few ways. It can cause voltage and current magnification or attenuation, and can also affect the phase relationship between the primary and secondary sides. It is important for the transformer designer to consider these implications in order to achieve desired performance.

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