ELEC 5194 Fall 2021 Power Systems Operation & Control Department of Electrical Engineering University of Colorado Denver Homework Assignment 3 Due Thursday, October 28, 2021 Consider the power system...

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Include matlab code please and answer all the question.


ELEC 5194 Fall 2021 Power Systems Operation & Control Department of Electrical Engineering University of Colorado Denver Homework Assignment 3 Due Thursday, October 28, 2021 Consider the power system described in pages 269/270 in the textbook, in particular the tables entitled “generator data” and “generation cost function data”. These tables provide, respectively, generation limits and generators cost function coefficients (power entered in MWs giving cost in $/h). The cost coefficient represent quadratic cost functions of the form C(P ) = aP 2 + bP + c. In order to make the generation costs more realistic, multiply all cost coefficients (a, b and c) × 3. Also, consider the demmand levels of Homework Assignment 1. Change the various lines ratings to the following values Rate = [60 90 50 40 70 50 50 50 80 30 30]T. The lines rating may be interpreted as the “MVAs” for the full ac OPF solution, and the “MWs” for the linear solution. Also assume voltage magnitude can vary within 10% of the nominal value, and angles are within −20◦ and 20◦. 1) Optimal Power Flow using NLP (full ac OPF): Solve the OPF problem using Matlab’s fmincon command. Report the total generation cost, the dispatch for each power plant, their marginal costs, and the shadow price for the various constraints. Repeat changing the rate of Line 4 to 20 (MVA). 2) Optimal Power Flow using LP (linear OPF): Transform the quadratic cost functions to piecewise linear functions considering two segments, splitting the power range in half. Solve the linear OPF using Matlab’s linprog. Report the total generation cost, the dispatch for each power plant, and the shadow price for the various constraints. Repeat changing the rate of Line 4 to 20 (MW). Discuss the differences between the full ac OPF and linear OPF. Is the linear OPF able to capture the essence of the full ac problem? a) A pdf file with your report b) A file called quetion1.m that generates results for question 1 c) A file called quetion2.m that generates results for question 2 Hint : The OPF dispatch for 1) costs 10,762 $/h. 1 Document5
Answered 6 days AfterOct 21, 2021

Answer To: ELEC 5194 Fall 2021 Power Systems Operation & Control Department of Electrical Engineering...

Ankur answered on Oct 27 2021
108 Votes
clc;
clear all;
global busdata linedata gencost Pdt LF
basemva=100;
% Bus Bus Voltage Angle ---Load---- -----Generator-----Static Mvar
% No code Mag. Degree MW Mvar
MW Mvar Qmin Qmax Qc/-Ql
busdata=[1 1 1.025 0.0 51 41 0 0 0 0 4
2 2 1.020 0.0 22 15 79 0 40 250 0
3 2 1.025 0.0 64 50 20 0 40 150 0
4 2 1.050 0.0 25 10 100 0 25 80 2
5 2 1.045 0.0 50 30 300 0 40 160 5
6 0 1.00 0.0 76 29 0 0 0 0 2
7 0 1.00 0.0 0 0 0 0 0 0 0
8 0 1.00 0.0 0 0 0 0 0 0 0
9 0 1.00 0.0 89 50 0 0 0 0 3
10 0 1.00 0.0 0 0 0 0 0 0 0
11 0 1.00 0.0 25 15 0 0 0 0 1.5
12 0 1.00 0.0 89 48 00 00 0 0 2
13 0 1.00 0.0 31 15 0 0 0 0 0
14 0 1.00 0.0 24 12 0 0 0 0 0
15 0 1.00 0.0 70 31 0 0 0 0 0.5
16 0 1.00 0.0 55 27 0 0 0 0 0
17 0 1.00 0.0 78 38 0 0 0 0 0
18 0 1.00 0.0 153 67 0 0 0 0 0
19 0 1.00 0.0 75 15 0 0 0 0 5
20 0 1.00 0.0 48 27 0 0 0 0 0
21 0 1.00 0.0 46 23 0 0 0 0 0
22 0 1.00 0.0 45 22 0 0 0 0 0
23 0 1.00 0.0 25 12 0 0 0 0 0
24 0 1.00 0.0 54 27 0 0 0 0 0
25 0 1.00 0.0 28 13...
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