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Copper Loss of a Transformer

09/21/2010 3:45 PM

Hi guys,

How can i determine the copper loss of the transformer with these following data: Rating = 2500 KVA Primary V = 13.8 kV Secondary V = 380 V %Z= 5.7 % Can you provide me a calculation for this? Thank you in advance for your replies. :)

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#1

Re: Copper Loss of a transformer

09/21/2010 4:23 PM

cu loss= i sqr r caluculate current , square it and mutiply it with impidance

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#2

Re: Copper Loss of a Transformer

09/21/2010 9:06 PM

Quote "cu loss= i sqr r caluculate current , square it and mutiply it with impidance"

Should be I²R. Not impedance

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#3

Re: Copper Loss of a Transformer

09/21/2010 11:02 PM

Two winding Trafo Copper Loss=I primary squared X Res Primary + I secondary squared X Res secondary

At different currents and different temperatures the copper loss can be calculated by appropriate substitution of values.

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#4

Re: Copper Loss of a Transformer

09/21/2010 11:07 PM

There's a very simple but effective way to easily measure load-related transformer copper loss. First you short the secondary. Then you use a low-voltage variac to increase the primary voltage while measuring the primary (or secondary if you prefer) current, until it reaches the transformer's VA-spec current rating. E.g., in your case with a 13.8 kV primary and a 2.5kVA rating, you'd turn up the primary voltage until you get 2.5kVA/13.8kV = 0.181 A of primary current into the shorted transformer (note the units math, VA / V = A). This might happen at about say 80 volts, which would be V*I = 80*0.181 = 15 watts of copper loss at full power. That would be a loss of 15/2.5k = 0.58% at full power, all due to copper, as opposed to core or other losses.

BTW, this measurement reveals the sum of both the transformer's primary and secondary copper losses at full power, with no phase shift, i.e. with a power factor of 1. It's unrealistic and imperfect, but it's a useful starting point.

Copper losses, according to P=I^2 R, go by the square of the current, so at currents well below the rated power the copper losses would be much less. E.g., at half power they'd be 1/4 of that at full power.

One other point, the Rac copper-resistance value at 60Hz is a bit higher than the Rdc ohm-meter value, due to skin effect and proximity effect. That's why we make ac measurements.

Keep in mind that under actual operating conditions, a primary magnetizing current is also required, even with no load. This current causes additional primary copper losses, plus substantial core losses, that may exceed the copper losses, especially in large transformers. Thankfully you didn't ask about that, because it's much more complicated. :-)

I'd like to give you references, but poking around, I didn't immediately find any. Maybe by spending more time than I did, you can do better. Let us know.

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#5
In reply to #4

Re: Copper Loss of a Transformer

09/22/2010 4:48 AM

Thanks for the clear answer. GA from me.

Can you also explain "proximity effect" ?

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#6
In reply to #5

Re: Copper Loss of a Transformer

09/22/2010 6:05 AM

Self inductance - Skin effect

Mutual Inductance (usually between strands) - proximity effect.

The leakage flux of one strand interacts with the current of the other strand(s) and they (currents) get crowded (Fleming's rule/ maxwell's equations)

UD15

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#7
In reply to #4

Re: Copper Loss of a Transformer

09/22/2010 7:04 AM

thanks for the help mr. winfield, i really appreciate it a lot. Im trying to dig some more information regarding this transformer losses. im currently at designing stage, i want to calculate the short circuit currents for my system but unfortunately, for the transformer, i only have these data. Im using impedance method my short circuit calculation so that i can size my breakers with correct kaic rating.

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#8
In reply to #7

Re: Copper Loss of a Transformer

09/22/2010 10:32 AM

Ah, that's why you had the %Z parameter. I didn't notice. Perhaps an article by Jim Phillips, Short Circuit Calculations – Transformer and Source Impedance, will be helpful to you. It's at his website, brainfiller, in the newsletter Archive, http://www.brainfiller.com/newsletterArchive.php under short-circuit analysis, http://www.brainfiller.com/articles/infiniteBusMethod.php

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#12
In reply to #8

Re: Copper Loss of a Transformer

09/22/2010 4:10 PM

thanks for the help mr. winfield. by the way, do you know faster way but accurate and reliable calculation for short circuit calculations? im trying to compare impedance method versus the calculation use by the software ecodial (quite interesting, hehe) but unfortunately im quite having a hard time for the data that i need to calculate it by the ecodial. thanks again in advance, good day!

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#14
In reply to #8

Re: Copper Loss of a Transformer

09/22/2010 4:21 PM

and 1 more thing mr. winfield, thanks for the very informative site that you provided. i hope there's a lot more to come.. good day sir!

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#21
In reply to #4

Re: Copper Loss of a Transformer

06/03/2013 5:32 AM

dear sir

i would like to know about is any need of measuring cu loss in phase wise measurement.since as per relation cu loss depends on current square lets consider that if phase current is different then cu loss are different in different winding of a machine so separate cu loss calculation needed for such a situation.

pls answer

rahu

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#9

Re: Copper Loss of a Transformer

09/22/2010 11:47 AM

Winfield Hill Quote " E.g., in your case with a 13.8 kV primary and a 2.5kVA rating, you'd turn up the primary voltage until you get 2.5kVA/13.8kV = 0.181 A of primary current into the shorted transformer (note the units math, VA / V = A). This might happen at about say 80 volts, which would be V*I = 80*0.181 = 15 watts of copper loss at full power. That would be a loss of 15/2.5k = 0.58% at full power, all due to copper, as opposed to core or other losses."

I believe that would be 15 VA and not watts. This is the problem when trying to get the resistance of the windings. The inductance is included in the figures.

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#10
In reply to #9

Re: Copper Loss of a Transformer

09/22/2010 12:16 PM

Yes, the leakage inductance.

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#20
In reply to #9

Re: Copper Loss of a Transformer

06/03/2013 5:29 AM

dear sir

i would like to know about is any need of measuring cu loss in phase wise measurement.since as per relation cu loss depends on current square lets consider that if phase current is different then cu loss are different in different winding of a machine so separate cu loss calculation needed for such a situation.

pls answer

rahul

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#11

Re: Copper Loss of a Transformer

09/22/2010 1:11 PM

2500 KVA is 2,500,000 VA.

2,500,000 VA is a very large transformer. How are you going to manufacture this transformer?

At this power level and current level, low voltage winding will have to be transposed. If winding is not transposed, copper losses will be excessive.

Do you know how to transpose a winding?

Do you have a person who can wind a transposed winding?

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#13
In reply to #11

Re: Copper Loss of a Transformer

09/22/2010 4:16 PM

mr. carl, i agree with what you have said regarding 2500 kva transformer but i dont know how this transformer will be manufactured. but i will tell you something, we already used these transformers in some of our projects, to be exact, 8-2500 kva for one building. these transformers were configured in such a way that this electrical infrastructure was certified by Uptime Institute.. Try to search G.E. or Schneider, cast resin transformer, maybe you will able to find your answer from them.. =)

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#15
In reply to #13

Re: Copper Loss of a Transformer

09/22/2010 6:06 PM

Whew, are you saying the 2500kVA was correct, it's 2.5MVA, and not 2.5kVA? Sheesh! It's one thing to slip a decimal point, it's another to slip three.

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#18
In reply to #15

Re: Copper Loss of a Transformer

09/23/2010 5:13 AM

nope mr.windfield, its correct 2500 KVA, k13 transformer..=)

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#16

Re: Copper Loss of a Transformer

09/22/2010 6:27 PM

WH quote "Whew, are you saying the 2500kVA was correct, it's 2.5MVA, and not 2.5kVA? Sheesh! It's one thing to slip a decimal point, it's another to slip three"

I believe it was you who slipped the 3 dp's. Was that what you meant?

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#17
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Re: Copper Loss of a Transformer

09/22/2010 7:33 PM

Yes.

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#19

Re: Copper Loss of a Transformer

09/25/2010 11:40 PM

Contact the transformer manufacture.

On this size transformer, the manufacture should have the transformer losses.

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