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1、 9.2 Maxwell v15Basic Exercises DC Conduction Solver Introduction on the DC Conduction Solver This note introduces the DC conduction solver. Only conductors are considered in the process. Example 1: Parallel Plates with Non-uniform media In this example, we want to determine the DC resistance betwee
2、n two plates with a non-uniform media made of graphite and sea water. We do not need to draw the plates; we just need to draw the two media regions. Create Design To Create Design Select the menu item Project Insert Maxwell 3D Design, or click on the icon Change the name of the design to Plates Set
3、Solution Type To set the Solution Type: Select the menu item Maxwell 3D Solution Type Solution Type Window: 1. Choose DC Conduction Include Insulator Field : Unchecked 2. Click the OK button 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver Cre
4、ate Geometry Create Solid Select the menu item Draw Box 1. Using the coordinate entry fields, enter the box position X: 0, Y: 0, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the opposite corner dX: 4, dY: 4, dZ: 0.5, Press the Enter key Change the name of the Object to Solid
5、 and material to graphite Create Liquid Select the menu item Draw Box 1. Using the coordinate entry fields, enter the box position X: 0, Y: 0, Z: 0.5, Press the Enter key 2. Using the coordinate entry fields, enter the opposite corner dX: 4, dY: 4, dZ: 1, Press the Enter key Change the name of the O
6、bject to Liquid and material to water_sea Assign Excitations We apply the voltage to the plates. We did not draw the plates, because we can apply a voltage to the top and bottom part of the regions. Change Selection to Faces Select the menu item Edit Select Faces or press F from the keyboard Assign
7、Excitation for Top Select the top face of the Object Liquid Select the menu item Maxwell 3D Excitations Assign Voltage In Voltage Excitation window, 1. Set Value to 10 V 2. Press OK Assign Excitation for Top Select the bottom face of the Object Solid Select the menu item Maxwell 3D Excitations Assig
8、n Voltage In Voltage Excitation window, 1. Set Value to -10 V 2. Press OK 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver Analysis Setup To create an analysis setup: Select the menu item Maxwell 3D Analysis Setup Add Solution Setup Solution S
9、etup Window: 1. Click the OK to accept default settings Analyze To start the solution process: Select the menu item Maxwell 3D Analyze All Compute the DC Resistance The DC resistance is not directly computed by Maxwell3D. However, we already know the applied voltage. We need the DC current that flow
10、s through the media. The current is obtained by taking the integral of Z component of J on a cross section of the region. To define any cross section, we define a local coordinate system, and use the planes defined by this local CS. Create Local Coordinate System Select the menu item Modeler Coordin
11、ate System Create Relative CS Offset 1. Using the coordinate entry fields, enter the origin position X: 0, Y: 0, Z: 1, Press the Enter key Calculate Resistance Select the menu item Maxwell 3D Fields Calculator The field calculator is a tool that can compute any quantities using geometric entities an
12、d fields. The total current going through the media is the integral of the current J on the plane XY of the local CS. 1. Select Input Quantity J 2. Select Vector Scal? ScalarZ 3. Select Input Geometry Select Surface Select RelativeCS1:XY from the list Press OK 4. Select Scalar (Integrate) 5. Press E
13、val 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver The total current appears, close to -1.28A. The value is very low; it makes sense because the conductivity of medium is very low. The negative sign is just a matter of sign convention due to
14、 the CS orientation. The DC resistance is given by R = Voltage / Current. The difference of potential between the two plate is 20 V. We obtain R = 15.625 Ohm Analytical value of Resistance The analytical value of the resistance is given by the following formula R = 2h1 + 1h2 / ( 12A) where 1, 2 are
15、the conductivity of the two medium, h1,h2 the thickness of the two medium and A the surface of the plates. If we take below values, 1 = 70000 Siemens/m, h1= 0.5e-3 m (ferrite); 2 = 4 Siemens/m, h2 = 1e-3 m (sea water) ; A = 16e-6 m2. The value of resistance comes out to be: R = 15.625 Ohm The values
16、 are similar to what we obtained using Maxwell 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver Example 2: DC current flow in conductors In this example, we illustrate the capability of the DC current solver to reconstruct the current paths fl
17、owing in different conductors Create Design To Create Design Select the menu item Project Insert Maxwell 3D Design Rename design as Conductors Set Solution Type To set the Solution Type: Select the menu item Maxwell 3D Solution Type Solution Type Window: 1. Choose DC Conduction 2. Click the OK butto
18、n Set Default Material To set the default material: Using the 3D Modeler Materials toolbar, choose Select In Select Definition window, 1. Type copper in the Search by Name field 2. Click the OK button Create Geometry Create Conductor Select the menu item Draw Box 1. Using the coordinate entry fields
19、, enter the box position X: 1, Y: -0.6, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the opposite corner dX: 1, dY: 0.2, dZ: 0.2, Press the Enter key Change the name of the Object to Conductor 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercis
20、es DC Conduction Solver Duplicate Conductor Select the object Conductor from the history tree Select the menu item Edit Duplicate Along Line 1. Using coordinate entry fields, enter the first point of duplicate vector X: 0, Y: 0, Z: 0, Press the Enter key 2. Using coordinate entry fields, enter the s
21、econd point dX: 0, dY: 0.4, dZ: 0, Press the Enter key 3. Total Number: 4 4. Press OK Create Conductor_4 Select the menu item Draw Box 1. Using the coordinate entry fields, enter the box position X: 0.8, Y: -1, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the opposite corner
22、 dX: 0.2, dY: 2.2, dZ: 0.2, Press the Enter key Change the name of the Object to Conductor_4 Create Conductor_5 Select the menu item Draw Box 1. Using the coordinate entry fields, enter the box position X: 0.8, Y: -0.4, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the opposi
23、te corner dX: -1.2, dY: 0.2, dZ: 0.2, Press the Enter key Change the name of the Object to Conductor_5 Duplicate Conductor_5 Select the object Conductor _5 from the history tree Select the menu item Edit Duplicate Along Line 1. Using coordinate entry fields, enter the first point of duplicate vector
24、 X: 0, Y: 0, Z: 0, Press the Enter key 2. Using coordinate entry fields, enter the second point dX: 0, dY: 0.8, dZ: 0, Press the Enter key 3. Total Number: 2 4. Press OK 9.2-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver Create Conductor_Sink Se
25、lect the menu item Draw Box 1. Using the coordinate entry fields, enter the box position X: -0.4, Y: 0.6, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the opposite corner dX: -0.4, dY: -1, dZ: 0.2, Press the Enter key Change the name of the Object to Conductor_Sink Assign Ex
26、citations Change Selection to Faces Select the menu item Edit Select Faces or press F from the keyboard Assign Excitation Current Select the top faces of the Objects Conductor, Conductor_1, Conductor_2, Conductor_3 and Conductor_4 as shown below Select the menu item Maxwell 3D Excitations Assign Cur
27、rent In Current Excitation window, 1. Set Value to 1 A 2. Press OK Maxwell creates 6 current excitations of 1A, each for every faces selected. The default current orientation is the current going inside the objects, so we do not need to swap any current direction 9.2-#ANSYS Maxwell 3D Field Simulato
28、r v15 Users Guide 9.2 Maxwell v15Basic Exercises DC Conduction Solver Assign Excitation for Top Select the faces of Conductor_Sink as shown in the image Select the menu item Maxwell 3D Excitations Assign Sink Press OK Assign Mesh Operation Change Selection to Objects Select the menu item Edit Select
29、 Objects or press O from the keyboard To Assign Mesh Operation Select the menu item Edit Select All Select the menu item Maxwell 3D Mesh Operations Assign Inside Selection Length Based In Element Length Based Refinement window, 1. Restrict Length of Elements: Unchecked 2. Restrict the Number of Elements: Checked 3. Maximum Number of Elements: 1
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