Engineering Electromagnetics 1 0909.301.01 Fall 2004

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Engineering Electromagnetics 10909.301.01 Fall
2004
INTODUCTION TO MATLAB PDE TOOLBOXSeptember 22,
2004

• Shreekanth Mandayam
• ECE Department
• Rowan University
• http//engineering.rowan.edu/shreek/fall04/eemag1
  /lectures/pdetoolbox.ppt

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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.

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An Example from Electrostatics

• The following slides show an example application
  using the Matlab PDE toolbox.
• Problem statement

No Surface Charge
V0
V10
Laplaces Equation
No Surface Charge
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Step 1

• Start the toolbox by typing in
  gtgt
  pdetool
  
  at the Matlab prompt

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Step 2 Select Electrostatics Application
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Step 3 The Draw Menu
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Step 4 Create Rectangle
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Step 5 The Boundary Menu
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Step 6 Display Options
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Step 7 Select Boundary 4
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Step 8 Specify Boundary Condition
Steps 9 - 10 Select Boundary 1 and specify
condition
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Steps 11 - 14 Specify remaining boundary
conditions
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Step 15 The PDE Mode
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Step 16 PDE Menu
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Step 17 Specify PDE parameters
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PDE Solution Voltage Calculated
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Step 18 The Plot Menu
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Step 19 Specify plotting parameters
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Solution Electric Field Lines and Potential
Contours