1. MATLAB Environment ELEC 206 Computer Applications for Electrical Engineers Dr. Ron Hayne

2. 206_M22 Course Outline  MATLAB IntroCh 1 MATLAB EnvironmentCh 2 Predefined FunctionsCh 3 PlottingCh 4 ProgrammingCh 5 Control StructuresCh 5 Matrix ComputationsCh 6 Test #3 Test #4

3. 206_M23 Computer Software  Operating System Interface between user and hardware  Application Software Word Processors, Spreadsheets, Databases,... Computer-aided Design (CAD) Mathematical Computation Tools (MATLAB)  Computer Languages Machine Language Assembly Language High-level Languages (C++)

4. 206_M24 Problem-Solving  An Engineering Problem-Solving Methodology Problem Statement Input/Output Description Hand Example Algorithm Development Testing

5. 206_M25 Example  Temperature Analysis Problem Statement Compute the average of a set of temperatures, then plot the time and temperature values. Input/Output Description Time Values Temperature Values Average Temperature Plot of Time and Temperature Values

6. 206_M26 Example Hand Example Average = (105 +126 +119)/3 = 116.67 Degrees F Algorithm Development (outline) Input times and temperatures Compute average Plot times and temperatures Time (Minutes)Temperature (Degrees F) 0.0105 0.5126 1.0119

7. 206_M27 Example MATLAB Solution % Compute average temperature and % plot the temperature data. % time = [0.0, 0.5, 1.0]; temps = [105, 126, 119]; average = mean(temps) plot(time, temps), title('Temperature Measurements'), xlabel('Time, minutes'), ylabel('Temperature, degrees F'), grid

8. 206_M28 Example Testing

9. 206_M29 Example

10. 206_M210 Example Testing time = [0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0,... 3,5, 4.0, 4.5, 5.0]; temps = [105, 126, 119, 129, 132, 128, 131,... 135, 136, 132, 137];

11. 206_M211 Example

12. 206_M212 MATLAB Windows

13. 206_M213 MATLAB Windows  Current Directory Window  Command Window  Command History  Workspace Window  Document Window Array Editor  Graphics Window  Editor Window  Start Button

14. 206_M214 Scalar Operations Exponentiation ^ Multiplication * Division / Addition + Subtraction - Precedence 2 3 4

15. 206_M215 Expressions num = x^3 - 2*x^2 + x - 6.3; den = x^2 + 0.05*x - 3.14; f = num/den;

16. 206_M216 Arrays, Vectors and Matrices  Row Vector X = [1 2 3 4]; (1x4)  Column Vector Y = [1; 2; 3; 4]; (4x1) Y = [1 2 3 4]'; transpose operator  Matrix A = [1 2; 3 4; 5 6]; (3x2)  Evenly Spaced Matrices B = [1:5]; C = [1:2:5]; D = linspace(1,10,3);

17. 206_M217 Array Operations  Arrays with Scalars Same  Arrays with Arrays Same for Addition and Subtraction  Element-by-Element Operations Exponentiation.^ Multiplication.* Division./

18. 206_M218 Number Display  Scientific Notation LightSpeed = 2.99792e08;  Display Format format long format long e format short format short e format bank format +

19. 206_M219 Saving Your Work  Saving Variables Save the contents of the Workspace Window to a file Default format binary.mat save load ASCII (text).dat save -ascii load  Script M-Files ASCII (text).m MATLAB Editor Window % This is a comment

20. 206_M220 Problem Solving Applied  UDF Engine Performance Problem Statement Calculate the velocity and acceleration using a script M-file Input/Output Description Velocity Start Time = 0 sec Acceleration Final Time = 120 sec Time Increment = 10 sec

21. 206_M221 Problem Solving Applied Hand Example velocity = 0.00001 time 3 - 0.00488 time 2 + 0.75795 time + 181.3566 acceleration = 3 - 0.000062 velocity 2 For time = 100 sec  velocity = 218.35 m/sec  acceleration = 0.04404 m/sec 2 Algorithm Development (outline) Define time matrix Calculate velocity and acceleration Output results in table

22. 206_M222 MATLAB Solution clear, clc %Example 2.4 %These commands generate velocity and acceleration %values for a UDF aircraft test %Define the time matrix time = 0:10:120; %Calculate the velocity matrix velocity = 0.00001*time.^3 - 0.00488*time.^2... + 0.75795*time + 181.3566; %Use calculated velocities to find the acceleration acceleration = 3 - 6.2e-5*velocity.^2; %Present the results in a table [time', velocity', acceleration']

23. 206_M223 Testing

24. 206_M224 Summary  MATLAB Environment  Scalar Operations  Array Operations  Saving Your Work  End of Chapter Summary MATLAB Summary Characters, Commands and Functions Key Terms