Delta/Wye 3-Phase Using Mesh Analysis

Click For Summary
SUMMARY

This discussion focuses on solving a 3-phase circuit using mesh analysis, specifically a balanced Delta source with Phase A at 480V (0 degrees), Phase B at -120 degrees, and Phase C at 120 degrees, connected to a balanced Wye load with an impedance of 0.99 + j 0.66. The mesh equations provided are Vab = I1 * (Z1 + Z2) - I2 * Z2 and Vbc = -I2 * Z2 + I2 * (Z2 + Z3). The user reported a line current of 234.3A at -33.7 degrees from a previous method, while their calculation for I1 yielded 233.3A at -131 degrees, raising concerns about the accuracy of their mesh equations.

PREREQUISITES
  • Understanding of 3-phase circuit theory
  • Proficiency in mesh analysis techniques
  • Familiarity with complex impedance calculations
  • Knowledge of phasor representation of voltages and currents
NEXT STEPS
  • Review mesh analysis for 3-phase circuits
  • Study complex impedance in balanced Delta and Wye configurations
  • Learn how to derive mesh equations for 3-phase systems
  • Practice solving 3-phase circuit problems using simulation software like LTspice
USEFUL FOR

Electrical engineering students, circuit designers, and professionals working with 3-phase systems who need to enhance their understanding of mesh analysis and circuit calculations.

jmast1161
Messages
1
Reaction score
0
Hi, I have to solve a 3-phase circuit using mesh analysis. The source is a balanced Delta Phase A = 480V at 0 deg, Phase B is at -120 deg, and Phase C is at 120 deg. The load is a balanced Wye load at 0.99 + j 0.66. My mesh equations are as follows:

Vab = I1 * ( Z1 + Z2) - I2 * Z2
Vbc = -I2 * Z2 + I2 * (Z2 + Z3)

My professor said not to worry about the loop inside of the Delta Source since they will all cancel.

We did this problem in class a different way and got a line current of 234.3A at -33.7 degrees.

When I solved for I1 I got 233.3A at -131 degrees. I am not sure if it is just coincidence that my magnitude is close to the same value or if I messed the angle somehow. Whenever I plug I1 into solve I2, I get a value that is way off. I really want to know if my equations are correct for the Mesh Analysis.
 
Engineering news on Phys.org
You need to show your work before we can answer.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
14
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
9
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K