Power Circle Diagram: Sending/Recieving End Voltages & Power Angle

[jegues]

Homework Statement

How does the angle and magnitude difference between the two ends of the transmission line effect the real and reactive power flow?

Homework Equations

The Attempt at a Solution

See two tables of data points and plots attached.

It seems as though for the sending end as we increase the power angle (from 0 to 40 degrees) we increase the amount of positive reactive and active power sent.

For larger sending end voltages, we see larger reactive and active powers.

The opposite seems true for the receiving end voltages.

Am I understanding this correctly?

 

[KataKoniK]

Hello,

I can confirm that your understanding is correct. The angle and magnitude difference between the two ends of a transmission line can greatly affect the real and reactive power flow. This is due to the fact that the angle and magnitude of the voltage at each end of the transmission line determine the direction and amount of power that is transmitted.

When the sending end voltage is increased, the amount of power sent also increases. This is because a higher voltage results in a larger potential difference, which allows for more power to be transferred. Similarly, when the receiving end voltage is increased, the amount of power received increases.

The angle difference between the two ends also plays a significant role. As you mentioned, increasing the power angle at the sending end (the phase difference between the voltage and current) leads to an increase in positive reactive and active power sent. This is because a larger power angle means that more power is being transferred from the sending end to the receiving end. On the other hand, a larger power angle at the receiving end results in a decrease in positive reactive and active power received.

It's important to note that the power flow is also affected by the impedance of the transmission line. A higher impedance will result in a lower power flow, while a lower impedance will allow for a higher power flow.

I hope this helps clarify the relationship between angle and magnitude difference and real and reactive power flow in a transmission line. Let me know if you have any further questions.