What Is the Phase Displacement in a Wye Connected Circuit with UPF Load?

[Danjuro]

Homework Statement

In a wye connected circuit with a balanced UPF load, what is the phase displacement between the line voltages and current for an ABC and ACB phase sequence

Homework Equations

n/a

The Attempt at a Solution

My trouble is I can't find anything pertaining to the "syntax" of phase displacement.

I can see that for the ABC sequence, the current will lag the voltage by 30 degrees. How would I go about annotating this?

Is the phase displacement between Vab and Ia, for instance, +30 degrees because the voltage leads, -30 degrees because the current lags... does it even need a sign?

Thanks for your time..

 

[KataKoniK]

Hello,

I can provide some clarification on the syntax of phase displacement. In this case, the phase displacement refers to the angular difference between the line voltages and current in a wye connected circuit with a balanced UPF load.

To annotate this, you can use the following notation:

- For the ABC phase sequence: The phase displacement between Vab and Ia can be denoted as +30 degrees, indicating that the voltage leads the current by 30 degrees.
- For the ACB phase sequence: The phase displacement between Vab and Ia can be denoted as -30 degrees, indicating that the voltage lags the current by 30 degrees.

The sign is important in indicating the direction of the phase displacement. In this case, the positive sign indicates that the voltage leads the current, while the negative sign indicates that the voltage lags the current.

I hope this helps. Let me know if you have any further questions.

 

[piercas]

The phase displacement convention refers to the chosen method of representing the phase relationship between voltage and current in a circuit. In this case, the phase displacement is referring to the angular difference between the voltage and current waveforms.

In a wye connected circuit with a balanced unity power factor (UPF) load, the phase displacement between line voltages and current can be calculated as follows:

For the ABC phase sequence:

-Voltage Vab leads current Ia by 30 degrees
-Voltage Vbc leads current Ib by 30 degrees
-Voltage Vca leads current Ic by 30 degrees

For the ACB phase sequence:

-Voltage Vab lags current Ia by 30 degrees
-Voltage Vbc lags current Ib by 30 degrees
-Voltage Vca lags current Ic by 30 degrees

The phase displacement convention does not require a sign, as it is already implied by the terms "leads" and "lags". Therefore, the phase displacement between Vab and Ia for the ABC phase sequence would be +30 degrees, and for the ACB phase sequence it would be -30 degrees.

I hope this helps clarify the concept of phase displacement for you. Please let me know if you have any further questions.