Need help. balanced three phase

In summary, the problem involves a balanced three phase 866v, 60Hz Y connected source feeding a balanced delta connected load via a 100km long three wire transmission line. The impedance of each wire is 1+j2 ohm and the three phase impedance of the load is 177-j246 ohm. The goal is to determine the line and phase currents, power absorbed by the load, and power dissipated by the transmission line. The 100km length is not relevant, but the impedance of each wire is important. By redrawing the delta load as a wye load and focusing on one phase, the problem can be solved using the given data.
  • #1
s_arm
2
0

Homework Statement


A balanced three phase 866v, 60Hz Y connected source feeds a balanced delta connected load via 100km long three wire transmission line. The impedance of each wire of the transmission line is 1+j2 ohm. The three phase impedance of the load is 177-j246 ohm. If the phase sequence is positive determine:
the line and phase currents
the power absorbed by the load
the power dissipated by the transmission line


Homework Equations


is the 100km important in this question?


The Attempt at a Solution


I have tried to figure out the resistance of each conductor, but not sure if it's relevant
 
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  • #2
s_arm said:
1.

Homework Equations


is the 100km important in this question?


100 km isn't, but 1 + j2 is.
 
  • #3
In what way should it be used?
 
  • #4
s_arm said:
In what way should it be used?

In no way. All you need to know is the impedance of each line, plus the other data you're given.
 
  • #5
Hint: a delta load can be redrawn as a wye load; then, since you have a balanced network, you can focus on one phase only ...
 

FAQ: Need help. balanced three phase

1. What is a balanced three phase system?

A balanced three phase system is a type of electrical power distribution in which three alternating currents are delivered to a load, with each current being equal in magnitude but offset by one-third of a cycle. This results in a more efficient and stable power supply compared to single phase systems.

2. How is a balanced three phase system different from a single phase system?

In a single phase system, only one alternating current is delivered to a load. This can result in fluctuations and inefficiencies in power supply, especially for larger loads. In a balanced three phase system, three alternating currents are delivered evenly, providing a more stable and efficient power supply.

3. Why is a balanced three phase system important?

A balanced three phase system is important because it allows for more efficient distribution of electrical power, particularly for larger loads. It also helps to reduce power loss and improve the overall stability of the system.

4. How is a balanced three phase system achieved?

A balanced three phase system is achieved by properly connecting three alternating current sources in a specific configuration known as a "delta" or "wye" connection. This ensures that the three currents are equal in magnitude and offset by one-third of a cycle.

5. What are the advantages of a balanced three phase system?

There are several advantages of a balanced three phase system, including more efficient power distribution, reduced power loss, improved stability, and the ability to power larger loads. It also allows for the use of smaller and more economical wiring and equipment compared to single phase systems.

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