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.
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
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 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
WINTER 2017
POWER SYSTEM ANALYSIS
Homework Assignment # 2
Due Date: February 2, 2017
1) A single-phase 50 kVA, 2400/240 V, 60 Hz distribution transformer is used as a step-down
transformer at the load end of a 2400 V feeder whose series impedance
SYLLABUS
ECE 5500
WINTER 2017
POWER SYSTEM ANALYSIS
FORMAT :
10 classes on Thursdays, 4:00 PM-8:00 PM (EST)
Starting January 19, 2017 and ending March 23, 2017
INSTRUCTOR:
Dr. Slobodan Pajic
email: [email protected]
OFFICE HOURS:
on Tuesdays 7-8pm (EST) ov
ECE 5500
WINTER 2017
POWER SYSTEM ANALYSIS
Homework Assignment # 3
Due Date: February 9, 2017
1) A 60 MVA, 69.3 kV, three phase synchronous generator has a synchronous reactance of 15
/phase and negligible armature resistance
(a) The generator is deliveri
ECE 5500
WINTER 2017
POWER SYSTEM ANALYSIS
Homework Assignment # 6
Due Date: March 9, 2017
submit by midnight EST
1) Fig. 1 shows the one-line diagram of a six-bus system. Line reactances of the system are in
Table 1.
(a) Determine branch-to-node incidenc
ECE 5500
WINTER 2017
POWER SYSTEM ANALYSIS
Homework Assignment # 1
Due Date: January 26, 2017
1) Evaluate each of the following complex numbers and express the result in rectangular form
(a) z1 = 3ej/4
(b) z2 = 3ej3/4
(c) z3 = 2ej/2
(d) z4 = j 3
(e) z5 =
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 system studies
Transmission lines in a power system exhibit the properties of resistance, inducta
1
Introduction to AC Machines
Traditional AC machines
- synchronous machines
- induction machines
Synchronous machines (SM): Rotor winding currents are supplied directly from a stationary frame through rotating contract
Induction machines (IM): Rotor c
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 system?
Power system voltages are typically at the kilovolt levels (kV) for transmission and distr
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 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)
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
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>
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
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: [email protected]
OFFICE HOURS:
on Tuesd
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
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 #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 #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 #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 #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
1
Complex numbers
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 imaginary constant.
Exponential or Polar form
Z = |Z|ej = |Z|
The two forms are illustrated graphically in Fi
Name:
PS1
SPRING 2006
INTRODUCTION TO POWER SYSTEMS ENGINEERING
Exam #1
Date: March 18, 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 w
ECE 5500
FALL 2016
POWER SYSTEM ANALYSIS
Homework Assignment # 3
Due Date: September 22, 2016
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 the impedance is 10.
ECE 5511
SPRING 2014
TRANSIENTS IN POWER SYSTEMS
Exam 2
Date: June 9, 2014
Open textbook, open notes. Use of Matlab is permitted. Show all work; no
credit will be given for correct answers without supporting calculations. Work
neatly; if the work is illeg
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
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