EE303Test #2 (Nov. 13th, 2012)
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Instructions: This is a closed book exam, but you are permitted to use your own single-sheet notes.
You are allowed to use a calculator, but not a
EE303 Energy Systems and Power Electronics
Lecture 18. Per Unit Analysis
Prof. Dionysios Aliprantis
Electrical & Computer Engineering
Oct. 18, 2012
D. Aliprantis (ISU ECpE)
EE303 Fall 12
Oct. 18, 2012
1 / 12
Learning objectives
Todays objectives
OUTLINE a
EE303 Energy Systems and Power Electronics
Lecture 12. Transformers
Prof. Dionysios Aliprantis
Electrical & Computer Engineering
Sep. 27, 2012
D. Aliprantis (ISU ECpE)
EE303 Fall 12
Sep. 27, 2012
1/7
Learning objectives
Todays objectives
SHOW how a second
EE303Homework #10
(Due Tue. Dec. 4th)
In this homework, we will learn how to solve power ow problems using MATPOWER. MATPOWER is a package of MATLAB M-les for solving power ow problems. It can be downloaded from http:/www.pserc.cornell.edu/matpower/. You
EE303 Energy Systems and Power Electronics
Fall 2012
Instructor: Dionysios Aliprantis
HW1 Solutions
1. Problem 1.2
(a) From table 1.2, the carbon footprint for production of 1 kWh for coal-red plant is
2.117 lb . To produce 500 Whe of electricity using co
Module B3
Problem 1
The 3-phase loads are connected in parallel. One is a purely resistive load connected in wye. It consumes 300kW. The second is a purely inductive 300kVAR load connected in wye. The third is a purely capacitive 300kVAR load connected in
Module G1
Solution to problem 1
(a)
Vt
30kV
17.32kV
3
P 50 MW
pf 0.8 cos
36.87
P 3 Vt I a cos
P
50 10 6
I a 1202.8 A
3 Vt cos 3 17.32 10 3 0.8
I a 1202.8 36.87 A
E f Vt I a jX s 17.32 10 3 0 1202.8 36.87 j 0.9
17969.5 j866V
179902.759 V
Qout
3 Vt E
PHAEIOR [MAG 12AM;
VOL-FACES Lag By FLUXES [3y
0
30
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MOD EL C STEAij- STATE)
FROM THE PHASQR DIAGRAM:
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t; + Emmy N EV : 0
:TO N we
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EE303 homework 7
Due in class on Thursday March 27
This homework uses what you already know about complex power and AC circuit
analysis to look at an aspect of a topic of the course that is coming up soon, which
is power flow on transmission lines and loa
Module B4
Problem 1
Consider the power system shown below. Choose a system power base 100MVA and a line-to-line voltage
base for section 1 as 6.9kV. The load in section 3 consumes 10MVA at 0.8pf leading when the line-to-line
voltage at the load is 13.8kV
Module B3
Problem 1
The 3-phase loads are connected in parallel. One is a purely resistive load connected in wye. It consumes
300kW. The second is a purely inductive 300kVAR load connected in wye. The third is a purely capacitive
300kVAR load connected in
EE 303
FORMULA SHEET FOR TEST #1
1. The instantaneous power for single phase
p(t ) VRMS I RMS cos( ) Cos(2t )
2. The instantaneous power for Three phase
p(t) : VrmsI rms 3Cos ( ) Cos (2t ) Cos (2t 2400 ) Cos (2t 4800 )
(Where is the power factor angle)
3.
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Module T1
Solution to problem 1
Two warp to work it.
'
'
'
1. Find Ppq and Ppq then Ploss Ppq Ppq where Ppq = Pqp
2.
2
Find I pq and then Ploss 3 I pq R
We will do #2.
I pq
V p p V q q
R jX
63.516.0 65.060
10 3
4527.26
30 j150
Ploss 3 45 30 0.183MW 0.61
EE303 homework 8; due in class on Thursday April 3
(1) Consider a synchronous machine air gap of width g and average radius r. There is a flux density
wave Bmax cos( t) in the air gap moving at synchronous speed = 377 rad/s. Assume that
the machine is len
EE303 homework 4
Due in class on Thursday Feb 20
(1) Chapter 4 Question 1 in Kirtley text page 54.
(2) A three phase balanced positive sequence
connected voltage source with
Eab = 4800 volt is applied to a balanced load with Z = 3040 . The
line impedance
EE303 homework 10
(1) (a) First find the bus susceptance matrix, and then set up and solve the DC
load flow for the 3 bus system shown in the figure. You should assume that bus 3 is
the slack bus and that the power base is 100 MVA. That is, find the volta
EE303 homework 6
Due in class on Thursday March 13
(1) (z) If the base quantity is XB and the actual value of the quantity is X, write
down the fundamental definition of Xpu .
In a 3 phase balanced AC system, suppose that we have already chosen the 3
3
ph
EE303 homework 9
Due in class on Thursday April 10
(1) Consider 3 buses labelled 1,2,3 joined by lossless transmission lines of reactance
x12 , x23 and x31 respectively. There is a capacitor of capacitance C Farad connected
from each bus to ground. The sy
EE303 homework 1
Due in class on Thursday Jan 23
(0) Read chapters 1 and 2 in Kirtley text.
(1) Consider a capacitor C with voltage v1 (t) on one side of the capacitor, voltage
v2 (t) on one side of the capacitor, and current i(t) through the capacitor. S
EE 303
1.
FORMULA SHEET FOR TEST #2
VLLbase(old)
Zpu(new) Zpu(old)
VLLbase(new)
2
Sbase3 ( new)
Sbase3 (old )
2.
Po u t
Qo u t
E f I f Ns
Ns
120 f
P
Pout 3 Vt I a Cos ( )
Qout 3 Vt I a Sin ( )
3 Vt E f Sin ( )
Xs
3 Vt E f Cos ( )
Xs
3 Vt
2
Xs
ModuleT1
ElectricPowerTransmission
Overhead Conductors
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ACSR
Aluminum Conductor with
inner Steel Reinforced strands
ACAR
Aluminum Conductor with
inner Al allow Reinforced
strands
ACSR/AW
Aluminum Conductor with
inner Alumoweld Steel
Reiforced str
EE303
April 17,2012
Test#3
Name:
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I. a) (23pts) The admittance matrix of a two bus power system is given below. What is
the actual admittance of the line connected between I and 2? What is the value of
shunt admittance at bus I?
What is the
real power ow in inductive line"
V1" I"
"
jX=jL"
V2"
"
complex phasors V1,V2, I; line reactance X"
v1(t) = Recfw_2 |V1| exp(j1) exp(jt)"
= 2 |V1| cos(1+jt)"
R"
v1(t) = component of v1(t) in phase with I "
real power P from node 1 to node 2"
R"
R"
v1(t) i(