Three-phase transformer DC-resistances

Click For Summary

Discussion Overview

The discussion revolves around calculating the DC-resistance of a single primary coil in a three-phase transformer setup, specifically a 20/0.5 kV transformer. Participants explore the implications of the measured resistance between two primary windings and the configuration of the windings.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant suggests that since all coils are assumed identical, the resistance of one primary coil could be calculated directly from the total measured resistance.
  • Another participant clarifies that the problem should focus on the DC-resistance between two primary terminals, emphasizing the need to derive a formula for total resistance from those terminals.
  • A participant proposes that if the total resistance is 80 ohms, then the resistance of one winding should be 80/3, but expresses confusion when this does not yield the correct answer.
  • Another participant corrects the misunderstanding, explaining that the configuration is not a simple series connection and hints at the need for a formula that accounts for both series and parallel connections.
  • A later reply indicates that the participant successfully recalculated the resistance using the correct approach after clarification, leading to the right answer.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the initial calculation method, with some confusion regarding the configuration of the windings. However, there is agreement on the correct approach after further discussion.

Contextual Notes

Participants rely on assumptions about the uniformity of the windings and the configuration of the connections, which may not be explicitly stated. The discussion does not resolve the implications of the transformer’s specifications on the resistance calculations.

arnold28
Messages
14
Reaction score
0

Homework Statement


Three-phase transformer, 20/0.5 kV, dyn11. Not connected to the grid.
DC-resistance between two primary windings is measured to be 80 ohm. What is the DC-resistance of ONE primary coil


Homework Equations



Kolmiotahti.png

f8c03f8d03923571597630136a1cb67b.png

The Attempt at a Solution



I thought I could just calculate Ra there, because I assume all the coils are identical?
Is the 20/0.5 kV info even needed here?
 
Physics news on Phys.org
I assume the problem should be?
DC-resistance between two primary terminals is measured to be 80 ohm

Forget about d-y transformation.

Concentrate on the left figure, and deduce a formula for the total resistance seen from terminals A and B. And this formula equals (?). All winding resistences are equal.
 
isnt the total resistance of the triangle that 80 ohms? so resistance of one winding should then be 80/3? well apparently not because i don't get the right answer with that
 
As you said yourself, its not 80/3.

If all resistances had been connected in series, it would have been. But its not.

What is the formula for the total resistance seen from terminals A and B? Hint: One series connection and one parallell connection.

Draw a new figure if you don't see it.
 
aaah stupid me, that's right, the triangle confused me :D
I calculated (80*80 / 80+80) + 80 and got the right answer!

thanks very very much
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 16 ·
Replies
16
Views
9K
Replies
10
Views
5K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
0
Views
1K
  • · Replies 41 ·
2
Replies
41
Views
8K
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K