ECE 582 HW 4 Sample Solution
1. Show the detailed derivation of Equation 4.7.
[Solution]:
Consider the following balanced, three-phase, sinusoidal function:
f t f cos t
a
0
2
f b t f cos t 0
3
4
f c t f cos t 0
3
The corresponding space phasor is d
Problem 1 (20 points)
In your own words, please describe:
(1) What is a microgrid?
(2) What are the differences between microgrids and conventional power systems?
(3) What is the relationship between Smart Grid and Microgrid in your opinion?
[Solution]:
(
ECE582HW7Solution
1. Problem1
Fig.1illustratesasimpliedsinglephasecircuitdiagram.AssumingthatVSisthecontrolvariable
(input)andVOisoutput,whileI1,I2andVCarestatevariables.Providethestatespaceequations
ofthissystemindqframe.
L1
L2
VC
I1
I2
C
VS
R
VO
Fig.1Si
ECE582 HW6
Problem 1
Problem Description:
Fig. 1 illustrates a simple microgrid with an interfaced inverter system, which could represent an invertercoupled distributed energy resource (DER) in a microgrid. Note that the same analysis can be applied to AC
Homework 7
1) Fig. 1 illustrates a simplied single-phase circuit diagram. Assuming that VS is the control
variable (input) and VO is output, while I1, I2 and VC are state variables. Provide the statespace equations of this system in dq frame.
Fig. 1 Singl
ECE582 HW5
Problem 1
Fig. 1 illustrates a simplied single-phase circuit diagram of an L-C system, which represents a currentsource converter. Assuming that v is the control variable (input), while i and vC are state variables (x
values). It is assumed tha
ECE582HW5
Problem1
Fig.1illustratesasimpliedsinglephasecircuitdiagramofanLCsystem,whichrepresentsacurrent
source converter. Assuming that v is the control variable (input), while i and vC are state variables (x
values).Itisassumedthatthefundamentalcompon
ECE 582 HW 4
1. Show the detailed derivation of Equation 4.7.
2. Repeat Example 4.6 for a series RLC circuit and find P and Q consumed by each element in the
circuit.
3. Determine the state space model for equation 4-60 and then simplify the results if th
Subarno Saha|ECE582|HW6 |1
ECE 582 HW6
Problem 1:
Equations used:
P=
Q=
Vs
2
R +X2
Vs
2
R +X
2
[ R ( V sV L cos ) + X V L sin ]
[ X ( V sV L cos )R V L sin ]
Case 1:
0.018
0.025
0.041
0.049
0.064
Scenario 1
P (Scenario
Q (Scenario
1)
1)
0.035
0.020
0.050
Subarno Saha |1
ECE 582 HW 4
1. Show the detailed derivation of Equation 4.7.
Subarno Saha |2
2. Repeat Example 4.6 for a series RLC circuit and find P and Q consumed by each element in the
circuit.
Subarno Saha |3
3. Determine the state space model for e
Subarno Saha|HW2|ECE 582 0
Access to Electricity
Technological Options for Community-based Solutions
ECE 582 Homework 3 Report Summary
By Subarno Saha
15, 2015
ILLINOIS INSTITUTE OF TECHNOLOGY
Although there exists a great need for the implementation of s
Subarno Saha|HW2|ECE 582 0
Islands in the Sun
The solar power deployment initiative at the University of the Virgin Islands.
ECE 582 Homework 2 Report Summary
By Subarno Saha
8, 2015
ILLINOIS INSTITUTE OF TECHNOLOGY
The paper discusses the needs, benefits
Subarno Saha|HW1|ECE 582 0
Ripple Effects of the Shale Gas Boom in the U.S.: Shift in
the Balance of Energy Resources, Technology
Deployment, Climate Policies, Energy Markets,
Geopolitics and Policy Development
ECE 582 Homework 1 Report Summary
By Subarno
4
4.1
Space Phasors and
Two-Dimensional Frames
INTRODUCTION
Chapter 3 investigated control of the half-bridge converter. The half-bridge converter
is the main building block of the three-phase voltage-sourced converter (VSC), and the
three-phase VSC contr
Chapter2
MicrogridConceptandApplications
PARTAOFCHAPTER2:THENEEDFORDISTRIBUTEDCONTROLANDMICROGRID
A.1MIGRATIONTOWARDDISTRIBUTEDCONTROL
Electricpowersystemisthecornerstoneofeveryindustrializednationintheworld.Astheutilitygrid
ages and the demand for electr