A 4-bus three-phase power system consists of the following equipment:• Generator 1 connected to bus 1 with a rated power of 20MVA, rated voltage of 20 kV,and a series reactance of 0.4 p.u.• Generator 2 connected to bus 5, with a rated power of 12MVA, rated voltage of 10 kV,and a series reactance of 0.3 p.u.Transformer 1 connected between buses 1 and 2, is wye-wye connected with a ratedpower of 20 MVA, rated voltages 20/100 kV, and a series reactance of 0.1 p.u.• Transformer 2 connected between buses 4 and 5, is wye-wye connected with a ratedpower of 12 MVA, rated voltages 12/110 kV, and a series reactance of 0.15 p.u.• Transmission Line 2-3 connects buses 2 and 3 and had a series impedance of 50 + j75ohms.• Transmission Line 3-4 connects buses 3 and 4 and had a series impedance of 40 + j80ohms.• Load A connected to bus 3 and abosorbes20 MW and 10 MVAR. The voltage at bus 3 is105 kV.1) Draw the one-line diagram for the system.2) Draw the per-unit, per phase representation of the system. Use base values of 20 MVAand 105 kV for the region containing the load.

For PU system- PU system is representation of any quantity which is the ratio of actual values to…

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Engineering

Electrical Engineering

power system

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

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.44P: A 130-MVA,13.2-kV three-phase generator, which has a positive-sequence reactance of 1.5 per unit on...

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Concept explainers

Fault Analysis

In an electrical engineering system, a fault is an abnormal electric current flowing through the system, and fault analysis is the study of these faults. For instance, a short-circuit is a fault where the live wire touches the ground or neutral wire. If a circuit is interrupted by a failure of a current-carrying wire then an open circuit fault occurs. The open-circuit faults are also called series faults. One or more phases or ground may be involved in a three-phase fault or may occur only between two phases. Current flows into the earth in case of a ground fault or earth fault. For most situations, the prospective short circuit current of a fault that is predictable can be calculated. To limit the loss of service because of a failure, the protective devices can detect fault conditions and operate circuit breakers and also other devices. All phases equally can be affected in a poly-phase system which is known as symmetric electrical fault. The asymmetric fault becomes more complicated to analyze if only some phases are affected. By using methods such as symmetrical components, the power system analysis of these types of faults is often simplified. The main objective of power system protection is to design, detect, and interrupt power system faults.

Question

A 4-bus three-phase power system consists of the following equipment:
• Generator 1 connected to bus 1 with a rated power of 20MVA, rated voltage of 20 kV,
and a series reactance of 0.4 p.u.
• Generator 2 connected to bus 5, with a rated power of 12MVA, rated voltage of 10 kV,
and a series reactance of 0.3 p.u.
Transformer 1 connected between buses 1 and 2, is wye-wye connected with a rated
power of 20 MVA, rated voltages 20/100 kV, and a series reactance of 0.1 p.u.
• Transformer 2 connected between buses 4 and 5, is wye-wye connected with a rated
power of 12 MVA, rated voltages 12/110 kV, and a series reactance of 0.15 p.u.
• Transmission Line 2-3 connects buses 2 and 3 and had a series impedance of 50 + j75
ohms.
• Transmission Line 3-4 connects buses 3 and 4 and had a series impedance of 40 + j80
ohms.
• Load A connected to bus 3 and abosorbes20 MW and 10 MVAR. The voltage at bus 3 is
105 kV.
1) Draw the one-line diagram for the system.
2) Draw the per-unit, per phase representation of the system. Use base values of 20 MVA
and 105 kV for the region containing the load.

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