ELEC3111-Assignment-01 PDF

Preview

Summary

Assignment 1 ELEC3111 ...

Description

School of Electrical Engineering and Telecommunications

Term 3, 2019 Assignment 01

ELEC3111 Distributed Energy Generation Lecturer: Dr. Ke Meng, Email: [email protected] Tutor: Dr. Bin Liu, Email: [email protected] This assignment one is due on Friday midnight of week 6 . The assignment must be submitted via Moodle as a pdf file. The assignment must be submitted individually and must be your own work. The UNSW policy on student plagiarism can be found on the www.unsw.edu.au website. Note that UNSW uses automated plagiarism software. Note that late submission without good reason will see you lose significant marks. You are advised to contact me prior to the submission date if you expect to be late in order to discuss possible extensions - you will need a good reason.

Q1: Try to find the real solutions of 𝑥 for the following equation based on the Newton-Raphson algorithm. 𝑓(𝑥) = 2𝑥 3 + 10𝑥 2 + 7 = 0 Please select your own programming tool and try at least two different initial points for the algorithm. Detailed information for each iteration should be provided.

Q2: The single-line diagram of a 3-phase power system is shown below. Bus 2 Bus 3

L23 55 ohms/phase

G2 110kV (Voltage Magnitude) 20 MW

G3

L12 15 ohms/phase

120+j0 kV L13 23 ohms/phase

D1 60MVA, PF=0.7 (lagging) Bus 1

Page 1

The ratings of all components are listed in the following table.

𝐺3

Wye

Terminal Line Voltage (kV) 110 kV (voltage magnitude) 120∠0∘ kV

Demand (constant power)

𝐷1

Wye

—

1

60

—

Line

𝐿23 𝐿13 𝐿12

— — —

— — —

— — —

— — —

55 23 15

Name Generator

Connection 𝐺2

Wye

Bus Loca- Apparent Power Impedance (only consider retion (MVA) actance, ohms per phase)

Remark

2

—

—

3

—

—

Active power: 20 MW — Power factor: cos 𝜃 = 0.7 lagging — —

Q2-1: Taking the base power of the system as 50 MVA and the base voltage as 110kV, present the diagram of the system under per unit system. Q2-2: Try to construct the admittance matrix. Q2-3: Select different initial points and solve the power flow problem (find the voltages of all buses) based on the attached power flow programs (Assignment_01.m). For the calculations, please select at least 10 initial points and list all the calculated bus voltages. Are the final solutions the same for various initial points? Please provide your comments.

Page 2...