Current of delta 3 phase balanced power

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Discussion Overview

The discussion revolves around the calculation of current in a delta-connected three-phase power system, specifically addressing the application of Kirchhoff's Current Law (KCL) in determining the current for phase L1. Participants explore the implications of current direction conventions and the relationship between current and voltage polarities.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why the KCL equation is formulated as IR - IB = L1 instead of IR + IB = L1, suggesting that both currents should have the same signage if their voltages are positive.
  • Another participant argues that the choice of current direction is a matter of convention, indicating that marking IB differently could alter the equations.
  • A participant expresses confusion about how the phase shift of L1 can be represented as both IB + IR and IB - IR, indicating a need for clarification.
  • One participant asserts that the author has chosen current polarities with indicated arrows, emphasizing that while the choice is arbitrary, it must be consistently followed.
  • A participant agrees with the notion of maintaining a clear rule regarding the current directions among the phases, suggesting a specific order for clarity.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of current direction conventions and their implications for KCL equations. There is no consensus on the correct formulation of the KCL equation or the handling of phase shifts.

Contextual Notes

The discussion highlights the arbitrary nature of current polarity definitions and the potential for confusion arising from different conventions. There are unresolved questions regarding the implications of these choices on the equations used.

david90
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Hi,

Regarding the picture below, the author calculates L1's current with KCL equation IR-IB = L1. Why is the KCL equation not IR+IB = L1 if the voltage of phase B and Phase R at one point during their cycle can be both positive (Assume positive voltage means current go toward the node)? If Phase B and Phase R voltage are positive then their current move in the same direction and thus IR and IB should have the same signage?

https://www.electricaltechnology.org/2014/09/delta-connection-power-voltage-current.html
Screenshot 2023-08-29 231047.png
 

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Isn't it just a matter of convention? Picture clearly shows current directions. You could mark IB as going up, that would change all equations, giving IB+IR for L1 (that's assuming I understand correctly what L1 is).

That would also make the system of equations a bit chaotic to my taste though.
 
Borek said:
Isn't it just a matter of convention? Picture clearly shows current directions. You could mark IB as going up, that would change all equations, giving IB+IR for L1 (that's assuming I understand correctly what L1 is).

That would also make the system of equations a bit chaotic to my taste though.
How can phase shift of L1 be both IB+IR and IB-IR?
 
david90 said:
Regarding the picture below, the author calculates L1's current with KCL equation IR-IB = L1. Why is the KCL equation not IR+IB = L1
The author has clearly chosen the current polarities with the indicated arrows. That's why.

It can be an arbitrary choice, you may choose a different definition. But once the choice is made it must be followed.

There is no requirement that the defined current polarities match the voltage polarities. They can be defined separately, arbitrarily.
 
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I agree with DaveE. In order to keep a more clear rule we take R as more than S and S more than T and the direction of current from S to R,from T to S and from R to T.
1693548033334.png
 

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