Calculating Line Voltage and Power Factor in a 3-Phase System: A Case Study

In summary, a 3-phase system input voltage is an electrical power distribution system that uses three alternating currents. The voltage is measured using a voltmeter and has several advantages including a more efficient use of power and a more balanced distribution. The standard voltage varies by region, but in the US it is typically 208, 240, or 480 volts. It is possible to convert a 3-phase system to a single-phase system, but this may result in a loss of power and efficiency.
  • #1
DaNud
6
0
members are reminded that working should be presented in Latex and not in images of handwriting; only figures should be in image form
In the three phase system of Fig. 8.4, calculate the magnitude of the line
voltage V and the input power factor.
Data
V 1 = 400 V, Z ̇ L = 0.1 + j0.2 Ω, P 2 = 10 kW cos φ 2 = 0.6, Z ̇ 1 = 5∠60 ◦ Ω
delta connected, f = 50 Hz.

The results are:
V=462.76
Cosphi=0.506

In the image attached there is my solution. Could you please tell me where is wrong?
image.jpg
 
  • #3
If you could upload a more clear picture I'd be happy to try help you. Just finding it difficult to see the circuit etc.
 

FAQ: Calculating Line Voltage and Power Factor in a 3-Phase System: A Case Study

1. What is a 3-phase system input voltage?

A 3-phase system input voltage is a type of electrical power distribution system that uses three alternating currents that are offset by 120 degrees from each other. It is commonly used in industrial and commercial settings to power large motors and equipment.

2. How is the voltage in a 3-phase system measured?

The voltage in a 3-phase system is measured using a voltmeter, which is connected to each of the three phases. The voltage between any two phases is known as the line voltage, while the voltage between any phase and the neutral wire is known as the phase voltage.

3. What are the advantages of a 3-phase system input voltage?

There are several advantages to using a 3-phase system input voltage. These include a more efficient use of power, a higher power output, and a more balanced distribution of power. Additionally, the use of three phases allows for smaller and more economical wiring and equipment compared to single-phase systems.

4. What is the standard voltage for a 3-phase system input?

The standard voltage for a 3-phase system input varies depending on the country or region. In the United States, the standard voltage for a 3-phase system is typically 208, 240, or 480 volts. In Europe and other parts of the world, the standard voltage is usually 380 or 400 volts.

5. Can a 3-phase system input voltage be converted to a single-phase system?

Yes, it is possible to convert a 3-phase system input voltage to a single-phase system. This is often done for residential or smaller commercial applications. However, this conversion may result in a loss of power and efficiency, so it is not recommended for larger industrial applications.

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