Discrepancies in inductance measurements of identical transformers

Hello there,

about a year ago I purchased a pair of mains transformers for my Aleph J amp. According to the production data they must be from the same batch. Today I accidentally discovered that they are different, I mean the inductances are different.
The inductances were measured with a DER EE DE-5000 LCR meter at 100Hz. The values are as follows:
Transformer 1:
230V input - 6500mH​
18V out 1 - 121mH​
18V out 2 - 119mH​

Transformer 2:
230V input - 8900mH​
18V out 1 - 190mH​
18V out 2 - 188mH​

Although it is difficult to measure an iron core inductor, the error should be identical for both transformers. Is it not? Moreover, the measured inductances does not match the voltage ratio of the transformer (L1/L2=(V1/V2)^2).

How shall I interpret the results? Is there anything to worry about? Shall I try different measurement methods?

Both transformers are specified for 230V input and 2x18V output. I connected them and measured the output voltages:
Transformer 1:
230V input - 228.7V​
18V out 1 - 18.8V​
18V out 2 - 18.9V​

Transformer 2:
230V input - 229.3V​
18V out 1 - 18.8V​
18V out 2 - 18.9V​

As far as I can tell, if the inductance were different, the output voltages would be different. I am definitely missing something here.

P.S. I noticed that the "transformer 1" is clearly noisier. You can tell that it has more hum.
 

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Core material will vary, so the inductance will vary.
Output voltage for a fixed input voltage depends on the turns ratio and ohmic losses due to load current,
and can drop as much as 30% or more from open circuit values in consumer grade transformers with full loading.
 
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The reading of inductance from a trafo does depend on the flux induced in the core. To get a comparable reading on both primary and secondary inductances you'd need to have the same magnetisation (H) in both measurements which isn't easy to arrange with a simple LCR meter.
 
An anecdote:

A cop on patrol is bored so he is thinking: "Two plus two is four, and two multiplied by two is also four. But three plus three is six, and three multiplied by three is not six, it is nine. How come?" Unable to figure it out, he calls his superior and explains the problem. "You dumba..", answers the superior, "your job is not to add and multiply, but to subtract and divide!"
 
Core material will vary, so the inductance will vary.
Output voltage for a fixed input voltage depends on the turns ratio and ohmic losses due to load current,
and can drop as much as 30% or more from open circuit values in consumer grade transformers with full loading.
All true, but if these are identical (production) transformers, and measured by the same meter with the same setting (assumed), they should only differ slightly, not 30%.

Jan
 
The inductances were measured with a DER EE DE-5000 LCR meter at 100Hz.

There could be an issue with measurement of inductances i.e. the short circuit test that does not give perfect answers. From the picture below, the secondary short circuit doesn't get rid of the magnetisation inductance Lm, and the measured leakage always has a reflected component from the other winding.

1731932425679.png


P.S. I noticed that the "transformer 1" is clearly noisier. You can tell that it has more hum.
The peak magnetic flux (and saturation level) is clearly different for both pieces. Now, it could be permeability related, area related or turns related. Some extra energy is lost by magnetostriction and sound / vibration hum and quite likely as extra core losses.

FactorImpact on Core LossPotential for Loss Reduction
Core MaterialMaterials with lower hysteresis and eddy current losses lead to better efficiency.Use of soft magnetic materials, grain-oriented silicon steel, etc.
Core DesignLaminated cores inhibit eddy currents; shape optimization reduces excess material use.Strategic lamination and geometric design innovations.
Operating FrequencyHigher frequencies increase core losses exponentially.Operational optimization to utilize lower frequencies.
Flux DensityIncreased flux density enhances core losses.Maintaining lower flux densities within design constraints.
 
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The other option to demagnetize the cores is to connect the primary to a variac, and slowly turn down the ac voltage to zero before disconnecting. toroids a known for residual magnetization, and subsequent huge inrush currents upon reconnect. I always joked to people complaing about inrush, that they switched off the unit at the wrong time.
 
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It could have gotten magnetized a bit more than the applied line voltage normally does, too. Too close to a speaker magnet perhaps. That will leave a little residual that normal operation won’t remove. When it happens with tube output transformers the result is high 2HD on a push pull unit. Degaussing is still the same - but might require higher than 230V applied initially.
 
I applied 5VDC briefly to both transformers and this equalised the magnetisation of the cores. Now the values are as follows:
Transformer 1:
4700mH​
51mH​
50mH​

Transformer 2:
5000mH​
47mH​
47mH​

The conclusion is that it is not possible to measure the inductance of such a large iron core transformer/inductor with such an LCR meter.

Have you measured the DCR of each winding? And what happens if you change polarity of your LCR meter? The reading shouldn't change but it's still interesting to verify.
The DCR was the same for both transformers. Changing the polarity made no difference.

Thank you all for your helpful hints!
 
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