Calculate Combined Per Unit Reactance of Distribution System

In summary, the person is trying to find the combined per unit reactance of a distribution system with a local generator. They have calculated the individual per unit reactances and are unsure of how to combine them. Without the local generator, it would be a simple process of adding the individual reactances in parallel and then in series. However, with the local generator, they are unsure if they should add it in parallel or if there is another approach. They ultimately conclude that the correct approach would be to add everything up as shown and then add the local generator in parallel, resulting in a combined reactance of (G1 + G2 + G3 + T1 + T2 + T3 + T4)/(1 + Xlocalgen).
  • #1
nothing909
170
4

Homework Statement


I'm trying to find the combined per unit reactance of this distribution system shown.

Homework Equations

The Attempt at a Solution


I've calculated all the individual per unit reactances but I'm having trouble combining them. It's a very simple problem, but I just want to make sure I don't mess it up.

Without the local generator at the bottom right, it's easy. All I would do is add G1,G2 and G3 in parallel, T1 and T2 in parallel, and T3, T4 in parallel. After doing that I would just add (G1+G2+G3)+(T1+T2)+(T3+T4) in series and that would be the combined reactance, but with the generator at the bottom right, I'm lost.

Do I add everything up just like I have shown above and then add the local generator to it in parallel?
 

Attachments

  • IMG_0710.JPG
    IMG_0710.JPG
    34.4 KB · Views: 388
Physics news on Phys.org
  • #2
Or do I have to do something else?I think the correct approach would be to add everything up as shown above and then add the local generator in parallel. The combined reactance would then be (G1 + G2 + G3 + T1 + T2 + T3 + T4)/(1 + Xlocalgen). Is this correct?
 

1. What is the purpose of calculating the combined per unit reactance of a distribution system?

The combined per unit reactance is used to determine the total impedance of a distribution system, which is important for understanding the voltage drop and power losses in the system. This information is crucial for maintaining the reliability and efficiency of the distribution system.

2. How is the combined per unit reactance calculated?

The combined per unit reactance is calculated by adding the individual per unit reactances of all the components in the distribution system, such as transformers, conductors, and loads. The formula is: Xcombined = X1 + X2 + ... + Xn, where X is the per unit reactance of each component.

3. What factors can affect the combined per unit reactance of a distribution system?

The combined per unit reactance can be affected by the type and length of conductors, the type and configuration of transformers, and the type and size of loads. Environmental factors such as temperature and humidity can also impact the per unit reactance.

4. Why is it important to calculate the combined per unit reactance accurately?

An accurate calculation of the combined per unit reactance is crucial for ensuring the proper functioning of the distribution system. If the reactance is miscalculated, it can lead to incorrect voltage levels, excessive power losses, and potential equipment damage. It is also important for future planning and expansion of the distribution system.

5. Can software be used to calculate the combined per unit reactance?

Yes, there are various software programs available that can accurately calculate the combined per unit reactance of a distribution system. These programs take into account all the components and factors that can affect the reactance and provide a more precise calculation. However, it is important for engineers to have a good understanding of the underlying principles and equations involved in order to use the software effectively.

Similar threads

Engineering How to solve a circuit mystery box?
    • Engineering and Comp Sci Homework Help
Replies
16
Views
3K
2 Synchronous Generators in parallel connection
    • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
Engineering Find the current in the circuit
    • Engineering and Comp Sci Homework Help
Replies
6
Views
2K
Three Phase Per Unit System - Mark up, represent as single phase equiv
    • Introductory Physics Homework Help
Replies
1
Views
553
Power system analysis, per unit system help
    • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
I Higher-Order Time Correlation Functions of White Noise?
    • Set Theory, Logic, Probability, Statistics
Replies
2
Views
2K
The relationship between percent and per unit impedance
    • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
Calculation involving the reactance of a combination
    • Introductory Physics Homework Help
Replies
1
Views
650
Calculating entropy for an adiabatic system
    • Engineering and Comp Sci Homework Help
Replies
11
Views
2K
Why Does My MATLAB Model of Coffee Cooling Produce Complex Numbers?
    • Engineering and Comp Sci Homework Help
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top