ECE 5500
SPRING 2015
POWER SYSTEM ANALYSIS
Homework Assignment # 2
Due Date: April 16, 2015
submit by midnight EST
1) A three identical 9-MVA, 7.2/4.16 kV, single-phase transformers are connencted in Y on the high
voltage side and on the low voltage side.
Solutions Manual
Hadi Saadat
Professor of Electrical Engineering
Milwaukee School of Engineering
Milwaukee, Wisconsin
McGraw-Hill, Inc.
CONTENTS
1
THE POWER SYSTEM: AN OVERVIEW
1
2
BASIC PRINCIPLES
5
3
GENERATOR AND TRANSFORMER MODELS;
THE PER-UNIT SYSTEM
Introduction to Power System
Engineering
Lecture #3
Slobodan Paji
c
Worcester Polytechnic Institute
1
Introduction to AC Machines
Traditional AC machines
- synchronous machines
- induction machines
Synchronous machines (SM): Rotor winding currents are s
Introduction to Power System
Engineering
Lecture #4
Slobodan Paji
c
Worcester Polytechnic Institute
1
Transmission Line Parameters
We need to dene transmission-line parameters in order to develop a
useful transmission-line model for use in general power
Introduction to Power System
Engineering
Lecture #6
Slobodan Paji
c
Worcester Polytechnic Institute
1
Network Matrices
1.1
Introduction
This lecture deals with the steady-state analysis of an interconnected
system.
The system is assumed to be operating
Introduction to Power System
Engineering
Lecture #2
Slobodan Paji
c
Worcester Polytechnic Institute
1
The Per Unit System
In power system calculations a normalization of variables called per
unit system is almost always used.
Why do we need the per unit
Introduction to Power System
Engineering
Lecture #5
Slobodan Paji
c
Worcester Polytechnic Institute
Last time:
developed transmission line models
Today:
examine power transfer capabilities of transmission line as inuenced
by voltage, reactive power ther
Introduction to Power System
Engineering
Lecture #8
Slobodan Paji
c
Worcester Polytechnic Institute
1
Stability - Introduction
Idea of stability of the physical system:
If on the occurrence of a disturbance, the system eventually returns to the equilibr
Introduction to Power System
Engineering
Lecture #7
Slobodan Paji
c
Worcester Polytechnic Institute
1
Introduction
Under abnormal (fault) conditions power system may become unbalanced
Figure 1: Some nonsymmetric transmission-line faults [1]
Line faults
SYLLABUS
ECE 5500
SPRING 2015
POWER SYSTEM ANALYSIS
FORMAT :
10 classes on Thursdays, 4:00 PM-8:00 PM (EST)
Starting April 2, 2015 and ending June 4, 2015
INSTRUCTOR:
Dr. Slobodan Paji
c
Atwater Kent Room 225
email: slobodan@wpi.edu
OFFICE HOURS:
on Tuesd
CHAPT
=R
Synchronous Machines
s we have seen in Section 4.2.1, a synchronous machine is an ac machine
whose speed under steady-state conditions is proportional to the frequency
of the current in its armature. The rotor, along with the magnetic field creat
Slobodan Pajic (WPI)
MATLAB notes
1
What is MATLAB?
MATLAB (MATrix LABoratory) is an interactive program for scientific and engineering numeric calculation
and programming language
Getting help from within MATLAB
> help <functionname>
> doc <functionname>
Introduction to Power System
Engineering
Lecture #1
Slobodan Paji
c
Worcester Polytechnic Institute
1
Complex numbers - review
A complex number Z is written in the rectangular form
Z = a + jb
where
a
real part ecfw_Z;
b
imaginary part mcfw_Z;
j = 1 imag
ECE 5500
SPRING 2015
POWER SYSTEM ANALYSIS
Homework Assignment # 6
Due Date: May 21, 2015
submit by midnight EST
1) For the system in Fig. 1, the line impedances are given in Ohms, and line charging is neglected.
(a) Find the Ybus matrix of the system
(b)
Name:
PS1
SPRING 2006
INTRODUCTION TO POWER SYSTEMS ENGINEERING
Exam #2
Date: June 3, 2006
Open textbook, open notes. Show all work; no credit will be given for correct answers without
supporting calculations. Work neatly; if the work is illegible, it wil
ECE 5500
SPRING 2016
POWER SYSTEM ANALYSIS
Homework Assignment # 1
Due Date: April 14, 2016
1) Complex numbers z1 and z2 are given by following:
z1 = 3 j2
z2 = 4 + j2
(a) express z1 and z2 in polar form
(b) nd |z1 |
(c) determine the product z1 z2 in pola
Introduction to Power System
Engineering
Lecture #8
Slobodan Pajic
Worcester Polytechnic Institute
1
Stability - Introduction
Idea of stability of the physical system:
If on the occurrence of a disturbance, the system eventually returns to the equilibri
Introduction to Power System
Engineering
Lecture #1
Slobodan Pajic
Worcester Polytechnic Institute
1
Complex numbers - review
A complex number Z is written in the rectangular form
Z = a + jb
where
a
real part <ecfw_Z;
b
imaginary part =mcfw_Z;
j = 1 ima
Introduction to Power System
Engineering
Lecture #7
Slobodan Pajic
Worcester Polytechnic Institute
1
Introduction
Under abnormal (fault) conditions power system may become unbalanced
Figure 1: Some nonsymmetric transmission-line faults [1]
Line faults a
Introduction to Power System
Engineering
Lecture #4
Slobodan Pajic
Worcester Polytechnic Institute
1
Transmission Line Parameters
We need to define transmission-line parameters in order to develop a
useful transmission-line model for use in general power
Introduction to Power System
Engineering
Lecture #2
Slobodan Pajic
Worcester Polytechnic Institute
1
The Per Unit System
In power system calculations a normalization of variables called per
unit system is almost always used.
Why do we need the per unit
Introduction to Power System
Engineering
Lecture #5
Slobodan Pajic
Worcester Polytechnic Institute
Last time:
developed transmission line models
Today:
examine power transfer capabilities of transmission line as influenced
by voltage, reactive power the
Introduction to Power System
Engineering
Lecture #6
Slobodan Pajic
Worcester Polytechnic Institute
1
Network Matrices
1.1
Introduction
This lecture deals with the steady-state analysis of an interconnected
system.
The system is assumed to be operating u
Introduction to Power System
Engineering
Lecture #3
Slobodan Pajic
Worcester Polytechnic Institute
1
Introduction to AC Machines
Traditional AC machines
- synchronous machines
- induction machines
Synchronous machines (SM): Rotor winding currents are su
ECE 5500
SPRING 2015
POWER SYSTEM ANALYSIS
Homework Assignment # 3
Due Date: April 23, 2015
submit by midnight EST
1) A synchronous generator may be represented by a voltage source of magnitude 1.7 pu in series
with an impedance of 2 pu. The ratio X/R of
ECE 5500
SPRING 2015
POWER SYSTEM ANALYSIS
Homework Assignment # 4
Due Date: May 7, 2015
submit by midnight EST
1) A transmission cable, of length 4.5 km, consists of 20 strands of identical copper conductors,
each 1.8 mm in diameter. Because of the twist
ECE 5500
SPRING 2016
POWER SYSTEM ANALYSIS
Homework Assignment # 2
Due Date: April 21, 2016
1) A single-phase 100-kVA, 2400/240 V, 60-Hz distribution transformer is used as a step-down
transformer. The load, which is connected to the 240 V secondary windi