The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star connected, electrical network are as follows:2.4I1 + 3.6I2 + 4.8I3 = 1.2−3.9I1 + 1.3I2 − 6.5I3 = 2.61.7I1 + 11.9I2 + 8.5I3 = 0 Using Gaussian elimination, solve the equations for the currents.

Given equations:- 2.4I1+3.6I2+4.8I3=1.2-3.9I1+1.3I2-6.5I3=2.61.7I1+11.9I2+8.5I3=0

Answered: 2.4I1 + 3.6I2 + 4.8I3 = 1.2 −3.9I1 +…

2.4I1 + 3.6I2 + 4.8I3 = 1.2 −3.9I1 + 1.3I2 − 6.5I3 = 2.6 1.7I1 + 11.9I2 + 8.5I3 = 0 Using Gaussian elimination, solve the equations for the currents.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.35P

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Concept explainers

KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.

Question

The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star connected, electrical network are as follows:

2.4I₁ + 3.6I₂ + 4.8I₃ = 1.2

−3.9I₁ + 1.3I₂ − 6.5I₃ = 2.6

1.7I₁ + 11.9I₂ + 8.5I₃ = 0

Using Gaussian elimination, solve the equations for the currents.

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