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

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SUMMARY

The discussion focuses on calculating the line voltage and power factor in a three-phase system, specifically using the given parameters: V1 = 400 V, ŻL = 0.1 + j0.2 Ω, P2 = 10 kW with a power factor of cos φ2 = 0.6, and Ż1 = 5∠60° Ω. The calculated line voltage is 462.76 V, and the power factor is determined to be 0.506. Participants are encouraged to review the provided circuit diagram for clarity and to identify any potential errors in the calculations.

PREREQUISITES
  • Understanding of three-phase electrical systems
  • Familiarity with complex impedance (Z) and phasor notation
  • Knowledge of power factor calculations in AC circuits
  • Ability to interpret circuit diagrams and schematics
NEXT STEPS
  • Study the principles of three-phase power calculations
  • Learn about complex impedance and its application in AC circuits
  • Explore power factor correction techniques in electrical systems
  • Review circuit analysis methods for three-phase systems
USEFUL FOR

Electrical engineers, students studying power systems, and professionals involved in three-phase circuit analysis and optimization.

DaNud
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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
 
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.
 

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