Engineering Electromagnetics 1 0909.301.01 Fall 2004 - PowerPoint PPT Presentation

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  1. Engineering Electromagnetics 10909.301.01Fall 2004 INTODUCTION TO MATLAB PDE TOOLBOXSeptember 22, 2004 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall04/eemag1/lectures/pdetoolbox.ppt

  2. The PDE Toolbox • The Matlab PDE toolbox provides a user-friendly graphical interface for solving 2-D partial differential equations of functions of space and time • Such equations arise in electromagnetics (electrostatics, magnetostatics, quasi-statics), thermal diffusion, structural analysis, etc. • The GUI allows the user to draw 2-D cross-sections of objects, specify sources and boundary conditions and compute the variables (electromagnetic fields, temperatures, stresses, etc.). • A numerical technique called the Finite Element Method (will not be discussed here) is used to solve the pdes.

  3. An Example from Electrostatics • The following slides show an example application using the Matlab PDE toolbox. • Problem statement: No Surface Charge V=0 V=10 Laplace’s Equation No Surface Charge

  4. Step 1 • Start the toolbox by typing in >> pdetool at the Matlab prompt

  5. Step 2 Select Electrostatics Application


  6. Step 3 The Draw Menu

  7. Step 4 Create Rectangle

  8. Step 5 The Boundary Menu

  9. Step 6 Display Options

  10. Step 7 Select Boundary 4

  11. Step 8 Specify Boundary Condition Steps 9 - 10 Select Boundary 1 and specify condition

  12. Steps 11 - 14 Specify remaining boundary conditions

  13. Step 15 The PDE Mode

  14. Step 16 PDE Menu

  15. Step 17 Specify PDE parameters

  16. PDE Solution: Voltage Calculated

  17. Step 18 The Plot Menu

  18. Step 19 Specify plotting parameters

  19. Solution: Electric Field Lines and Potential Contours