Need help with a parallel inductance calculation for this transformer

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SUMMARY

This discussion focuses on calculating the parallel inductance of a transformer with a primary winding connected to a 115V, 60Hz supply and a secondary winding connected to an inductive load. The primary inductance was calculated to be 1.325 Henry, while the secondary winding and load inductances were found to be 0.0242 Henry and 0.1530 Henry, respectively. The total inductance of the secondary circuit was calculated as 0.0209 Henry. The user expressed confusion over the differing inductance values and sought clarification on the calculations and the equivalent circuit of the transformer.

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electricalguy
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I have a transformer with the primary winding connected to a 115 volts 60Hz supply, the current is 0.230 amps AC, with a resistance of 25.3 ohms. The secondary winding is connected to an inductive load. The voltage across the secondary winding when the load is connected is 13.14 voltage AC with 0.2 amps AC.

I calculated the inductance of the primary winding to be Z = 115/0.23 = 500 ohms, xL = √500∧2/25.3∧2 = 499.3594948 ohms,
L=499.3594948/2×π×hz = 499.3594948/376.9911184 = 1.324592213 Henry.

I measured the secondary winding by supplying an AC supply through it and the load inductance in series at the same time using a programmable AC power supply unit and measuring the voltage drop across each with the supply current and performing the same equation as above. I supplied 15 volts AC at 60 Hz and 0.223 amps AC, the secondary winding had a voltage of 2.04 V and the load inductance had 12.87 volts. The resistance of the secondary winding is 0.65 ohms, the resistance of the load is 1.860 ohms. In parallel their resistance is 0.449 ohms.

Using the same math as above I calculated the secondary winding to have an inductance of 0.024204 Henry and the load to have an inductance of 0.153008974 Henry. In parallel I calculated the total inductance of the secondary circuit to be 0.020898509 Henry.

My question is with the circuit running with a supply from the primary winding the math shows the inductance to be Z=13.14/0.2=65.7, xL=√65.7∧2/0.449∧2=65.69846573 ohms,
L=65.69846573/376.9911184=0.174270592 Henry. To me this doesn't seem correct. How can the value of inductance change like that from what I independently measured?

I do understand that the voltage will be the same in a parallel circuit. Can someone please show me where I am going wrong and help to understand this better?
 
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Can you post a schematic labeled with those values? I'm having trouble following all those words. 3 significant digits is plenty for the numbers. Use the attach files button, or just copy/paste a picture into the post.

Are you familiar with the equivalent circuit of a transformer?
1589159288223.png
 
Last edited:
electricalguy said:
secondary winding to have an inductance of 0.024204 Henry and the load to have an inductance of 0.153008974 Henry. In parallel I calculated the total inductance of the secondary circuit to be 0.020898509 Henry.

Ay, there's the rub! They should be in series.
(Or one of the rubs anyhow. Try it and see if you like the results.) :wink:

Cheers,
Tom
 
Most likely this can only be answered by an "old timer". I am making measurements on an uA709 op amp (metal can). I would like to calculate the frequency rolloff curves (I can measure them). I assume the compensation is via the miller effect. To do the calculations I would need to know the gain of the transistors and the effective resistance seen at the compensation terminals, not including the values I put there. Anyone know those values?

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