Inerpretation of voltage and current phasor in transmission line.

[yungman]

I have been trying to interpretating the voltage and current phasors in transmission line. I want to verify with you guys/gals here what my understanding. I am using only the voltage phasor as an example. I separate phasor V(z) into V(z)+ and V(z)-. I put the load at z=0 and V(z=0) at +r axis( in blue color). I also use l=-z. My observations are:

1) The +ve and -ve voltage phasors are stationary for any given -$$\beta$$z or $$\beta$$l.
2) Different value of $$\beta$$l give different position of the two phasors.
3) The angle of the +ve and -ve phasor are $$\beta$$l and -$$\beta$$l resp.

Please give me your thoughts.
Thanks

 

[Valkarie]

.Your observations are mostly correct. The +ve and -ve voltage phasors are indeed stationary for any given \beta_z or \beta_L. However, the position of the two phasors will depend on the value of \beta_L, and the angles of the +ve and -ve phasors will be \beta_L and -\beta_L respectively.

 

[Mene]

for reaching out about your interpretation of voltage and current phasors in transmission lines. I can confirm that your understanding is correct. The voltage and current phasors in a transmission line represent the amplitude and phase of the voltage and current at a specific point along the line. By separating the phasors into positive and negative components, you are correctly accounting for the direction of the voltage and current flow.

Your observations also align with the principles of phasor analysis in transmission lines. The stationary nature of the phasors is due to the fact that the line is assumed to be lossless, meaning there is no resistance or energy loss along the line. This allows the phasors to remain constant at any given point along the line.

Additionally, the position and angle of the phasors are determined by the propagation constant (\beta) and the distance along the line (z). This is why different values of \beta_l result in different positions and angles for the phasors.

Overall, your interpretation of voltage and current phasors in transmission lines is accurate and demonstrates a good understanding of the concept. Keep up the good work and continue to explore and learn more about this topic.