EE 581: Directed Study (Power System Analysis)
Instructor: Kevin Wedeward, office: Workman 221, phone: 835-5708,
e-mail: wedeward@ee.nmt.edu, web-page: www.ee.nmt.edu/~wedeward/
Class Time/Place: TR 09:00am-10:15am in Workman 117
Office Hours: TWR 10:30am-12:00pm
Textbook: Either edition below will work for the course.
-
Power Systems Analysis and Design, 4th Edition, by J. Duncan
Glover, Mulukutla S. Sarma and Thomas J. Overbye, Thomson/Cengage
Learning, ISBN-10: 0534548849, ISBN-13: 9780534548841
-
Power Systems Analysis and Design, 5th Edition, by J. Duncan
Glover, Mulukutla S. Sarma and Thomas J. Overbye, Cengage Learning,
ISBN-10: 1111425779, ISBN-13: 9781111425777
Prerequisites: Senior or graduate student
status, and consent of instructor.
Description: EE 581 (Power System Analysis) is intended for
advanced engineering students interested in learning the principles of
power system behavior, and methods for computer-based modeling,
simulation and analysis.
Topics:
- Review of phasors, power and three-phase circuits - Chapter 2
- Transmission line parameters - Chapter 4
- Steady-state operation of transmission lines - Chapter 5
- Transformers and per-unit system - Chapter 3
- Power flow - Chapter 6
- Power distribution - Chapter 14
- Power system controls - Chapter 11
- Transient stability - Chapter 13
- Symmetrical components and unbalanced behavior - Chapter 8 and 9
Grading:
- Homework: 20%
- Lectures: 30%
- Projects: 50%
Reading Assignments:
- Chapters 1 and 2 (01/19)
- Chapter 4 (01/26)
- Chapter 3 (02/14)
- Chapter 5 (02/28)
- Chapter 6 (03/27)
- Chapter 14 (04/12)
Homeworks:
- Problems 2.3, 2.10, 2.30, 2.43, 2.52
- Problems 4.3, 4.5, 4.8, 4.14
- Problems 4.28 (0.25 Ohm/mi/phase), 4.32 (1.33x10^-11 F/m,
j5x10^-6 S/km), 4.18 (1.34x10^-6 H/m, 0.506 Ohm/km), 4.39
(8.57x10^-12 F/m, j3.23x10^-6 S/km, 4.29x10^-12 kA/ Phase), 4.25
(Cardinal, 0.03 Ohm/mi, 0.52 Ohm/mi, 4040A), 4.44 (125x10^3 Ohm
mi)
- Problems 3.4 (2300 V, 0.53+j0.4 Ohm, 53+j40 Ohm, 64 kW, 48
kVAR), 3.9 (243.8/_-4.67deg V, 2.54%)
- Problems 3.23 (G: j0.2, T1: j0.2, T2: j0.15, T3: j0.16, T4:
j0.2, M: j0.25, L1: j0.1, L2: j0.54, Load: 0.95+j1.27), 3.28
(G1: j2, G2: j1, T1: j0.25, T2: j0.136, Line: 0.054+j0.217, M:
can't say much other than 0.25puVA, 0.833puV)
- Problems 5.1 a) A=D=1 p.u., C=0 S, B=9.74/_60.8deg Ohms or
11.69/_60.8deg Ohms, b) VSLL=35.45 kV or 35.96 kV, c) VSLL=33.3
kV or 33.4kV;
5.9 a) A=D=0.99/_0.1deg p.u., B=51.1/_82.11deg Ohms,
C=3.22e-4/_90.0deg S, VSLL=262 kV, %VR=21.2%, b) VSLL=236.6kV,
%VR=9.43%, c) VSLL= 205.9kV, %VR=-5.6%;
5.16 (z=0.02+j0.335 Ohm/km, y=j4.807 uS/km) a) Zc=264.4/_-1.7deg
Ohm, b) gamma*l=0.0113+j0.381 p.u., c) A=D=0.929/_0.258deg p.u.,
B=98.3/_86.7deg Ohm, C=1.405/_90.1deg mS;
5.24 Z'=5.673+j98.09 Ohm, Y'/2=6.37e-7+j7.294e-4 S, Z=6+j100.5
Ohm, Y/2=j7.211e-4 S, how much difference is there between
these?
- Problems 5.31 a) beta=0.00126 rad/km, Zc=290.4 Ohm, v=2.994e5
km/s, lambda=4990 km, b) VsLN=356.5/_16.1deg kV, |VsLL|=617.5 kV,
Is=902.3/_−17.9deg A, Ss3ph=800 + j539.7 MVA, %VR=32.9%;
5.32 a) 400kV, b) 1167 MW;
5.40 a) 2397.5 MW, b) Qr=-2358 MVAR delivered, pf = 0.713
lead
- Lectures 1
and 2 with homework from
chapter 6.
- PDF file with details of
problems 14.8 a) IOA=1.673 kA per phase, IFA=2.092 kA per phase,
IFOA=2.719 kA per phase b) Ztran=0.2 pu c) Isc=20.91 kA/phase;
14.12 (answers in handout).
Programming Projects:
- Equivalent pi-model of transmission lines
- Line parameter calculator - Write a program to compute the
resistance R (Ohm/km, Ohm/mi), inductance L (H/km, H/mi),
capacitance C (F/km, F/mi), series impedance z = R + jwL
(Ohm/km, Ohm/mi) and shunt admittance y = G + jwC (S/km, S/mi)
all in per unit length of a three-phase, completely transposed
transmission line. Inputs will be details of the geometry of the
phases and bundles as well as characteristics of the conductors
found in the ACSR table. Test your calculator on the lines in
problems 4.18, 4.24, 4.25 and example 4.5.
- Equivalent pi circuit calculator - Write a program to
compute the equivalent pi circuit (Z', Y'/2) for a transmission
line. Inputs will be series impedance z, shunt admittance y, and
length of the line.
- Per unit equivalent pi circuit calculator - Write a program
to compute the per unit equivalent circuit (Z', Y'/2 in per
unit) of a transmission line. Inputs will the the pi circuit
series impedance Z' and shunt admittance Y'/2, three-phase base
power Sbase3phi, and base line-to-line voltage VbaseLL.
- Line loadability calculator - Write a program to compute the
practical line loadability PRprac and theoretical maximum power
PRmax that can delivered by a transmission line to the receiving
end, as well as the thermal limit PRtherm of the transmission
line. Inputs will be line-to-line voltages at sending and
receiving ends, series impedance Z', propagation constant gamma,
angle across the line, approximate current-carrying capacity,
power factor of the load, and number of conductors per bundle.
- Complete line calculator - Write a wrapper program to
integrate the programs/functions above such that all the
characteristics can be computed for a given transmission line
with minimal inputs. Outputs should be z, y, Z', Y'/2, Z'pu,
Y'/2pu, PRprac, PRmax, PRtherm.
- Admittance matrix builder and
power-flow solver for power systems - due 05/09/2012
- Final design/analysis project -
due 05/09/2012
Lectures/Topics and Presenters:
- Chapter 2 - Kevin (~2 lectures)
- Chapter 4 - Lucas (~5 lectures)
- Chapter 3 - Edward (~4 lectures)
- Chapter 5 - David
- Chapter 6 - Brian and Ian
- Chapter 14 - Charles
Resources: