Syllabus For The Subject Power System Analysis



Chapter 1 Introduction

Case study: how the free market rocked the grid

History of electric power systems

Present and future trends

Electric utility industry structure

Computers in power system engineering

Power world simulator


Chapter-2 Fundamentals

Case study: key connections


Instantaneous power in single-phase AC circuits

Complex power

Network equations

Balanced three-phase circuits

Power in balanced three-phase circuits

Advantages of balanced three-phase versus

Single-phase systems


Chapter-3 Power transformers

Case study: power transformers-life management

And extension

Equivalent circuits for practical transformers

The per-unit system

Three-phase transformer connections

And phase shift

Per-unit equivalent circuits of balanced three-phase

Two-winding transformers

Three-winding transformers


Auto formers

Transformers with off-nominal turns



Chapter-4 Transmission line parameters

Case study: Grid congestion-Unclogging the arteries

Of North America’s power grid

Transmission line design considerations



Inductance: solid cylindrical conductor

Inductance: single-phase two-wire line

And three-phase three-wire with equal phase


Inductance composite conductors, unequal phase

Spacing bundled conductors

Series impedances: three-phase line with neutral

Conductors and earth return

Electric field and voltage

Solid cylindrical conductor

Capacitance: stranded conductors, unequal phase

Spacing, bundled conductors

Shunt admittances: lines with neutral conductors

And earth return

Electric field strength at conductor surfaces and

At ground level

Parallel circuit three-phase lines


Chapter-5 Transmission lines: steady-state operation

Case study: The ABCs OF HVDC transmission

Medium and short line approximations

Transmission-line differential equations

Equivalent circuit

Lossless lines

Maximum power flow

Line loadability

Reactive compensation techniques


Chapter-6 Power flows

Case study: finding flexibility-cycling the conventional


Direct solutions to linear algebraic equations :

Gauss elimination

Iterative  solutions to linear algebraic equations

Jacobi and gauss-seidel

Interative solutions to nonlinear

Algebraic equations: newton-raphson

The power flow problem

Power flow solution by gauss-seidel

Power flow solution by newton-raphson

The power flow problem

Power flow solution by gauss-seidel

Power flow solution by newton-raphson

Control of power flow

Sparsity techniques

Fast decoupled power flow

The DC’’ power flow

Power flow modeling of wind generation

Economic dispatch

Optimal power flow

Design projects


Chapter-7 Symmetrical faults

Case study: short-circuit modeling of a wind power


Series R-L circuit transients

Three-phase short circuit unloaded synchronous


Power system three-phase short circuits

Bus impedance matrix

Circuit breaker and fuse selection

Design project


Chapter-8 Symmetrical components

Case study: technological progress in high-voltage

Gas-insulated substations

Definition of symmetrical components

Sequence networks of impedance loads

Sequence networks of series impedances

Sequence networks of three-phase lines

Sequence networks of rotating machines

Per-unit sequence models of three-phase

Two-winding transformers     

Per-unit sequence models of three-phase

Three-winding transformers

Power in sequence networks


Chapter-9 Unsymmetrical faults

Innovative medium voltage switchgear

For today’s applications

System representation

Single line-to-ground fault

Line-to-line fault

Double line-to-ground fault

Sequence bus impedance matrices


Chapter-10 System protection

Upgrading relay protection be prepared for the

Next replacement or upgrade project

System protection components

Instrument transformers

Over current relays

Radial system protection

Reclosers and fuses

Directional relays

Directional relays

Protection of a two-source system with directional


Zones of protection with impedance distance


Differential relays

Bus protection with differential relays

Transformer protection with differential


Pilot relaying

Numeric relaying   


Chapter-11Transient stability

Case study: Down but not out

The swing equation

Simplified synchronous machine model and system


The equal-area criterion

Numerical integration of the swing equation

Multimachine stability

A two-axis synchronous machine model

Wind turbine machine models

Design methods for improving transient



Chapter-12 Power system controls

Case study: No light in august: power system restoration

Following the 2003 north American blackout

Generator-voltage control

Turbine-governor control

Load-frequency control



Chapter-13 Transmission lines: transient operation

Surge arresters

Emergency response

Traveling waves on single-phase lossless lines

Boundary conditions for single-phase lossless


Bewley lattice diagram

Discrete-time models of single-phase lossless lines

And lumped RLC elements

Lossy lines

Multiconductor lines

Power system overvoltage’s

Insulation coordination


Chapter-14 Power distribution

Its’s all in the plans

Introduction to distribution

Primary distribution

Secondary distribution

Transformers in distribution systems

Shunt capacitors in distribution systems

Distribution software

Distribution reliability

Distribution automation

Smart grids
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