Need help with a parallel inductance calculation for this transformer

In summary, the conversation discusses a transformer with a primary winding connected to a 115 volts 60Hz supply and a secondary winding connected to an inductive load. The voltage and current in both the primary and secondary windings were measured, as well as the resistance of the secondary winding and load. Using the measurements, the inductance of the primary winding was calculated to be 1.324592213 Henry, while the secondary winding and load were found to have inductances of 0.024204 Henry and 0.153008974 Henry, respectively. However, it was noted that the values of inductance in the parallel circuit did not match the calculated value of 0.174270592 Henry, and further discussion
  • #1
electricalguy
Gold Member
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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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  • #2
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
 
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  • #3
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
 

What is a parallel inductance calculation?

A parallel inductance calculation is a mathematical process used to determine the total inductance of two or more inductors connected in parallel.

Why is a parallel inductance calculation important for transformers?

Transformers use inductors in parallel to regulate the flow of electricity and convert voltage levels. Accurate parallel inductance calculations are crucial for ensuring the proper functioning of a transformer.

What information is needed for a parallel inductance calculation for a transformer?

To calculate the parallel inductance of a transformer, you will need the individual inductance values of each inductor, as well as the number of inductors connected in parallel.

Can I use a formula to calculate parallel inductance for a transformer?

Yes, there are several formulas that can be used to calculate parallel inductance for a transformer, such as the parallel inductance formula or the reciprocal formula. These formulas take into account the individual inductance values and the number of inductors in parallel.

Are there any online tools or software available for parallel inductance calculations?

Yes, there are many online calculators and software programs available that can help you with parallel inductance calculations for transformers. These tools can save time and ensure accurate results.

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