What is the Power Loss in a Transformer?

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SUMMARY

The forum discussion centers on calculating power loss in a transformer and its associated transmission line. Participants clarify that the power loss can be calculated using the formula Ploss = I2R, where R is the resistance of the transmission line. The conversation highlights confusion over the resistance values used, specifically 6000Ω versus 200Ω, and emphasizes the importance of clearly stating problem parameters to avoid misinterpretation. The consensus is that the original question lacked sufficient detail, leading to misunderstandings about the power loss being discussed.

PREREQUISITES
  • Understanding of transformer operation and ideal transformer equations
  • Knowledge of electrical resistance and Ohm's Law (R = V/I)
  • Familiarity with power loss calculations in electrical systems (Ploss = I2R)
  • Basic concepts of transmission line characteristics and resistance
NEXT STEPS
  • Research the characteristics of transmission lines and typical resistance values
  • Study the implications of ideal versus non-ideal transformers in power systems
  • Learn about the skin effect and its impact on transmission line resistance
  • Explore detailed examples of power loss calculations in electrical engineering contexts
USEFUL FOR

Electrical engineering students, educators, and professionals involved in power systems and transformer design will benefit from this discussion, particularly those seeking clarity on power loss calculations and the importance of precise problem statements.

  • #31
OK, only slightly off-topic...

I am so G%$D%$@ tired of students being confused and asking questions that are solely the result of the apparent fact that their instructor is an idiot or too lazy to write comprehensible questions. This seems to be about 80% of the EE questions I see here. I think it's really unfair to confuse people that are new to a subject. They just don't have the background to question the quality of their course work; they think they don't understand, when, in fact, it's not understandable.

Sorry, I'm frustrated and needed to vent. Y'all can go back to this seemingly unending discussion about missing information.
 
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  • #32
Delta2 said:
Ok but your solution attempt indicates that you are looking for the power loss in the secondary of the transformer.
That's what the answer key says the solution is, which I am trying to ask how they figured it out.
 
  • #33
annamal said:
That's what the answer key says the solution is, which I am trying to ask how they figured it out.
I think we have consensus that the given solution is nonsense.

My best guess is that the problem statement was supposed to tell you that the resistance of the transmission line is 200 Ohms (as assumed in the solution to part d), and that that value should have been used in part c, not 6000 Ohms. 200 still seems a bit high to me, but 6000 for a transmission line is ridiculous.

This is the message I sent to OpenStax:
Message: I wish to draw your attention to some misinformation on your website at https://openstax.org/books/university-physics-volume-2/pages/15-6-transformers. Part c of the example 15.6, Step-Down Transformer, is nonsense.
The question is unanswerable with the given data because there is no way to determine the resistance of the transmission line. The 6000Ohms used in the solution appears to be the combined resistance of the transformer and the downstream load. (I believe typical transmission lines have resistances of a few tens of Ohms at most.)
 
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  • #34
haruspex said:
My best guess is that the problem statement was supposed to tell you that the resistance of the transmission line is 200 Ohms (as assumed in the solution to part d), and that that value should have been used in part c, not 6000 Ohms. 200 still seems a bit high to me, but 6000 for a transmission line is ridiculous.

The ohmic resistance of a transmission line is really hard to estimate and depends on many factors.
In this example, the input power of the transformer is ##12KV\cdot 2A=24KW ##. If the ohmic resistance of the transmission line is 6000 ohms, then its ##~2^2\cdot6000=24kW~##power loss is as high as the input power of the transformer. I don't think the power company will accept it.
Also, this question is really confusing. If you get a reply from OpenStax, please share the answer to this unsolved mystery.
 
  • #35
OpenStax is riddled with errors like this.
 
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  • #36
Mister T said:
OpenStax is riddled with errors like this.
What's funny is that this example is mentioned in the errata for the book and supposedly was reviewed/corrected just last year. Leaving out part (d) in the problem statement itself seems like a pretty big error to miss.
 

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