**Title:** POWER SYSTEM ANALYSIS

**Credits:** 4

**Coordinator:** Daniel S. Kirschen, Close Professor of Electrical
Engineering

**Goals:** To learn the modeling and computational techniques used in
power system planning and operation.

**Learning Objectives: **At the end of the course, the students should be
able to

*Analyze*the steady-state performance of a power system*Perform*power flow computations and*interpret*the results of these computations*Identify*what actions should be taken to improve the voltage profile or the line flows in a power system*Perform*economic dispatch calculations

**Textbook:** A.R. Bergen and Vijay Vittal,* Power Systems Analysis*, Second
Edition, Prentice Hall, 2000. Supplemental notes for the course.

**Prerequisites by Topic:**

- Three phase circuits
- Transformers
- Synchronous machines
- Real and reactive power concepts

**Topics:**

- Models of power system components (generators, load,
transmission lines)
- Techniques for modeling large power systems
- Formulation of the power flow problem
- Solution of the power flow problem using the Newton-Raphson Method
- Control of power system frequency
- Control of power system voltage

**Course Structure:**
The class meets for 4 hours of lectures/discussion per week. Weekly
homework is assigned. Students must also develop and test a computer
program that perform a power flow calculation.

**Computer Resources:** Computer Program for Power Flow Analysis, MATLAB

**Laboratory Resources:** Computers for instruction in EE labs

**Grading:** Homework 25%, Computer projects 25%, Midterm 25%, Final exam
25%.

**Outcome Coverage:**

A (M) *An ability to apply knowledge
of mathematics, science, and engineering.* This course has an
extensive component of power system modeling and analysis. Mathematical models
of power system components are integrated into a system. Students use circuit
analysis techniques to calculate the voltages, currents, and power flows in a
power system. Students use numerical algorithms to solve the power flow
problems. Basic optimization techniques are needed to determine the economic
dispatch of a power system.

C. (M)* An ability to design a system, component, or process to meet
desired needs within realistic constraints such as economic, environmental,
social, political, ethical, health and safety, manufacturability, and
sustainability.* In the computer projects, students are asked to formulate
the operating constraints, calculate the operating values of the system,
determine if the system meets the operating limits and identify the remedial
actions. Students use a power flow program in the design process. Students also
design a MATLAB program to calculate the transmission line parameters for
various line configurations.

E. (H)* An ability to identify, formulate and solve engineering problems.*
The class includes various examples of power system operational problems such
as line overloads and under-voltage conditions. Students are asked to identify unacceptable
system operating conditions and to identify ways to meet the operating constraints.
Homework problems require the students to identify the proper models and
calculation techniques for power system problems.

G. (H) *An ability to communicate effectively.* Students submit extensive written reports on their computer projects.

H (M)* The broad education necessary to understand the impact of
engineering solutions in a global and societal context.* The lectures
consider the broad economic, social and political context in which power
systems are built and operated. Students
are encouraged to take these non-technical constraints into consideration when
studying power system operation and development.

K. (H)* An ability to use the techniques, skills, and modern engineering
tools necessary for engineering practice.* A state-of-the-art power flow
software package is used for the power flow problems. MATLAB tools are used for
calculations of the transmission line parameters and for the development of a
power flow program. Students also use modern numerical techniques for power
flow analysis and economic dispatch.

**Originally Prepared By**: Rich. Christie

**Revised by: **Daniel Kirschen

**Last revised:** 5/7/2012