# Primary magnetizing impedance of non-ideal transformer

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1. Feb 26, 2017

### Vikas Kasireddy

I am trying to determine the primary magnetizing inductance + core shunt resistance of a transformer. I attached the equivalent circuit of the transformer. I left the secondary open and have an AC voltage on the primary. This causes the coupling leakage inductance and coil resistance to appear as zero. How to I get the magnetizing inductance and resistance from measured V, I (sense resistor 10ohm )data.

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2. Feb 26, 2017

### Staff: Mentor

Welcome to the PF.

That model circuit looks wrong to me. Can you link to where you saw it? If the secondary winding is open, you will mainly see the input leakage inductance Lk in series with the magnetizing inductance Lm, and the primary loss terms will interact as well...

3. Feb 26, 2017

### Vikas Kasireddy

4. Feb 26, 2017

### Staff: Mentor

5. Feb 26, 2017

### Staff: Mentor

And I don't know what you mean by that term...

6. Feb 26, 2017

### Staff: Mentor

7. Feb 26, 2017

### Vikas Kasireddy

Yes, my question is about a real transformer. Equivalent circuit of a real transformer has the following components,
Rcore and Lprim for magnetizing impedance
R coil resistance and leakage inductance due to windings
Ideal transformer.
I know when the secondary is open, no current passes through the primary winding of the ideal transformer in the equivalence circuit diagram. Hence no current passes through Rs and Ls. The only current is through the primary magnetizing impedance Rcore and Lprim. I have data for V and I across primary winding. All I need to understand is how to calculate inductance and resistance from V I data

8. Feb 26, 2017

### Vikas Kasireddy

I was told that Rp and Xp can be shifted to after Rc and Xm terms since the current Io is very much less than Is. This is where the equivalent circuit I suggested comes from.

9. Feb 27, 2017

### anorlunda

Not true when $I_s=0$

10. Feb 27, 2017

### cnh1995

As anorlunda said, this is not true when Is=0. You should keep the primary impedance "before" the magnetizing branch. But when the secondary is open, values of Xm and Rc are very much greater than R1 and X1, hence, the drop across primary impedance is neglected.
What you are calling as megnatizing resistance actually represents core losses.
Connect a wattmeter in the primary and measure the no-load power W consumed at rated primary voltage. The power recorded W by the wattmeter is the core loss at rated voltage.
Zo=Vo/Io
cosΦo=W/VoIo.
Xm=ZosinΦo and
Ro=ZocosΦo.

Last edited: Feb 27, 2017
11. Feb 27, 2017

### Vikas Kasireddy

Thanks guys! I did consider the primary windings inductance and resistance for open secondary and it makes sense.