Drawing a Balanced 3-Phase Resisitve-Capacitive Load Phasor Diagram

[cupcake]

Homework Statement

From this diagram (see the attachment) I have to draw the phasor diagram showing the various voltages and current of balanced 3-phase resistive-capacitive load.

Homework Equations

I know from the capacitive current lead voltage by 90 degree

The Attempt at a Solution

I have drawn my own phasor diagram, but not really sure whether it is correct or not..
see another attachment, pardon my bad hand writing..
from the horizontal line,clockwise, Ir, Vrn, Vrb, Vbn, Vyb, Iy, Vyn, Ib, Vbn

kind anyone please help me?

 

[KataKoniK]

Hello fellow scientist,

I'm happy to help you with your phasor diagram for a balanced 3-phase resistive-capacitive load. First of all, it's important to note that in a balanced 3-phase system, the line voltages and currents are equal in magnitude and have a phase difference of 120 degrees. In addition, for a resistive-capacitive load, the current and voltage will have a phase difference of 90 degrees.

To start, draw a horizontal line to represent the reference axis. This will be your starting point for all the phasors. Then, draw the three phase currents (I) at 120 degrees apart from each other, starting from the reference axis. These will be your Ir, Iy, and Ib phasors.

Next, for the line voltages (V), draw them at the same angle and magnitude as the currents, but shifted by 90 degrees. This means that Vr will be 90 degrees ahead of Ir, Vy will be 90 degrees ahead of Iy, and Vb will be 90 degrees ahead of Ib. Make sure to label them accordingly.

Now, for the capacitor current (Ic), draw it at 90 degrees behind the voltage phasors. This means that Ic will be 180 degrees behind Vr, Vy, and Vb. Again, label it appropriately.

Finally, to complete the phasor diagram, draw the total current (It) by adding the resistive and capacitive currents vectorially. This means that It will be the hypotenuse of a right triangle, with Ir as the horizontal side and Ic as the vertical side. Label it appropriately as well.

Your final phasor diagram should show Ir, Iy, Ib, Vr, Vy, Vb, Ic, and It, all at the correct angles and magnitudes. I hope this helps and let me know if you have any further questions. Happy drawing!