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Power System Operation and Control (PSOC) –Assignment 1 2022/2023

发布时间：2022-11-15

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Power System Operation and Control (PSOC) –Assignment 1

2022/2023

Power System Operation and Control: 1st Assignment

Newton-Raphson and Decoupled Newton-Raphson Power Flow Solution using MATLAB

Introduction: This assignment tests the student’s ability to carry out power flow calculations using Newton-Raphson and decoupled Newton-Raphson methods.

Consider a two-bus power system with the single-line diagram shown in Fig. 1. In the two-bus system, Bus 1 is the slack bus where the voltage is given as (1.08 + j0 .0) pu. The slack bus generator G1 has been connected at Bus 1 . The lagging power factor load demand at Bus 1 is given as 0. 12 + j0.032 pu. Bus 2 is a PQ Bus where the load demand is given as 2.02 + j0 .87. The generator G2, which is a reactive power limited generator, has been connected at Bus 2. The impedance of the transmission line between Bus 1 and Bus 2 is j0 .024 p .u. Write a computer program for both Newton-Raphson method and Decoupled Newton-Raphson method to calculate power flow solution considering a convergence tolerance of e = 10-6 and present a formal report.

V1 = 1.08 + j0.0 p.u .

Bus 2 Pg 2 = 0.35 p.u.

Pd 1 + Qd 1 = 0.12 + j0.032 p .u. Pd 2 + jQd 2 = 2.02 + j0.87 p .u.

Fig. 1 Two-bus power system

Report Structure: The report should be of around 15 pages including the following sections:

1. Cover page (use the cover page template available on Canvas and complete all sections on it)

2. Table of contents

3. Introduction

4. Theory on Newton-Raphson method and Decoupled Newton-Raphson method (Show equations and relevant diagrams); Calculations (MATLAB Computer Code: include necessary comments on your computer code to explain the process of your calculations); Comparison of the results with results of solving the problem using Gauss-Seidel method (considering a convergence tolerance of max Vi(k)+ 1 - Vi(k) # 10-6 ); Show the convergence characteristics of the Newton-Raphson method and Decoupled Newton-Raphson by drawing a relationship – Max(|ΔP2|, |ΔQ2|) vs. iteration count k

5. Conclusions

6. References (IEEE format should be used)

Report Layout: Page numbers should be inserted at the bottom centre of each page except on the cover page. Report should be type written on A4 size paper, spaced 1.5 with margins as follows: Top-2.54cm, bottom-2 .54cm, left-2.54cm, right-2.54cm. Font size of 11 or 12 can be used.

Report Writing: The style of writing should be formal and precise with no more words than needed to make the meaning clearer. Every statement must be justified, and nothing that is written should be vague. Tables and diagrams should be numbered appropriately. A specific point that must be made is that the report should be written in the third person voice (passive voice).

Marking Criteria: The following is the marking criteria for this assignment:

(1) Introduction - a general description of the problem to be solved (10%).

(2) Methodology – how the problems are solved (20%).

(3) Results and discussion (40%).

(4) Conclusions (10%).

(5) Use of references (5%)

(6) Overall report quality and structure (15%)

The report as well as the MATLAB code will need to be submitted via the Canvas. Please do not submit .zip files. Submit .pdf file for the report, and .m file or .mdl file/.slx file for MATLAB codes/SIMULINK models.

Plagiarism: Plagiarism will not be tolerated. It is the act of a Student claiming as their own, intentionally or by omission, work which was not done by that Student. Plagiarism also includes a Student deliberately

claiming to have done work submitted by the Student for assessment which was never undertaken by that Student, including self-plagiarism and the other breaches. Sanctions of a plagiarism include the student failing the Program of study.