i) An equation for the fault current when a single-line-to-ground faultoccursii) derive an equation for voltage under a single-line-to- ground fault condition. a)The phase currents of a three phase power supply are defined as follows:Red phase, IR, yellow phase, ly, blue phase, IB. The associated symmetricalcomponents with respect to the red phase are the positive phase sequencecomponent, IR+, negative phase sequence component, IR., zero phase sequencecomponent, Iro. With the aid of appropriate circuit diagrams and the matrix1 1 1IroIR+ = 1/3|IR-IR1 а а?1 а? аIyIBdeduce the following:

Single line to ground fault is a unsymmetrical fault .

Answered: i) An equation for the fault current…

i) An equation for the fault current when a single-line-to-ground fault occurs ii) derive an equation for voltage under a single-line-to- ground fault condition.

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

Chapter8: Symmetrical Components

Section: Chapter Questions

Problem 8.6P

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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

i) An equation for the fault current when a single-line-to-ground fault

occurs

ii) derive an equation for voltage under a single-line-to- ground fault condition.

a)
The phase currents of a three phase power supply are defined as follows:
Red phase, IR, yellow phase, ly, blue phase, IB. The associated symmetrical
components with respect to the red phase are the positive phase sequence
component, IR+, negative phase sequence component, IR., zero phase sequence
component, Iro. With the aid of appropriate circuit diagrams and the matrix
1 1 1
Iro
IR+ = 1/3
|IR-
IR
1 а а?
1 а? а
Iy
IB
deduce the following:

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