Exam 2 Coverage
1.
2.
Resource planning models: Be aware of the differences in modeling between
the various GEP problems (GEP1-GEP11). I may test your understanding of
the significance of these differences, e.g., reserve constraint, capacity credit,
accounting for different demands, capacity factor, multi-area representation,
representing transmission (with and without limits), inclusion of adequacy
constraints, multi-period formulation and end effects, fixed & variable O&M.
Decomposition methods:
a.
Relationship of constraint matrix structure to decomposability;
b.
Motivation for decomposition methods and relation of solution speed to
the number of constraints
c.
Benders decomposition:
•
•
•
•
•
3.
4.
Separating a problem into master and primal subproblem
Duality in linear programming; relation of strong duality property to use of dual in the
Benders formulation; relation of various types of primal solutions to various types of
dual solutions.
Benders algorithm and Benders optimal rule
Be able to work the Benders example given in the notes, pp18-35
Benders simplifications (no optimality test, no feasibility test)
Benders as it is applied to EGEAS
Benders applied to stochastic programming
Exam 2 Coverage
5.
a.
b.
6.
a.
b.
7.
8.
a.
b.
c.
d.
9.
a.
b.
c.
10.
Basic input data for production cost models
Load duration curves
Generation probability models
Reliability calculations
Reliability Indices
Effective load and convolution
Production costing approach using observed load and convolution; relation
of EENS to difference between total energy supplied via production cost
procedure and total energy demanded via original load duration curve
AC transmission line impedance parameters
Correction factors and relation to line length
Inductance and capacitance reactance relations; use of tables
Surge impedance and surge impedance loading
Influences on conductor ampacity
St. Clair curves
How they are computed
How to use them
Main influences on SIL
Underground vs. overhead for AC transmission
Exam 2 Coverage
11.
a.
b.
c.
d.
e.
f.
12.
a.
b.
c.
d.
e.
f.
13.
a.
b.
c.
d.
Other AC transmission technologies: what are the characterizing features and
under what conditions do they make sense to use
High temperature, low sag conductors
High surge impedance loading conductors
Compact line design (increased surge impedance lines)
High phase order transmission
Gas insulated transmission
Superconducting transmission
HVDC
Applications of HVDC
Configurations, e.g., monopole, bipole, tripole
Rule of 3
Relation between HVDC line design, line cost, and line reliability
Influences on breakover distance
Comparison between HVDC and EHVAC from Fleeman/Gutman paper
Transmission expansion planning
“Real” transmission expansion planning vs. TEP optimizatin
TEP formulation
Why standard TEP formulation is MINP
Disjunctive formulation to make TEP MILP
Exam 1 Coverage
You may work these two problems entirely at home and bring them to the exam.
You should NOT collaborate with anyone in working these problems. But you can
use any resource you like, e.g., notes or books.
1.
This question is to be worked before Exam 2 but turned in with Exam 2.
Consider the following circuit from the Dunlop and Gutman paper on
loadability.
Consider the following problem:
Referring to the circuit diagram,
Given: R, X, B, X1, X2, θ1, |E2|, |ES|
Find: |E1|, θs, |ER|, θR
Assume NS=NR=N=0.
Provide a solution strategy for solving
this problem. You must provide
appropriate equations to be solved
and you must describe a solution
method. You do not need to
implement the method.
What to study
• Do problem 1
• Notes, particularly any examples
Nature of exam
• Some calculations
• Some short answer
• Some true-false