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1、 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Large Motion its Quick Implementation Using the Maxwell 3D Transient Solver Maxwell Transient is able to consider interactions between transient electromagnetic fields and mechanical motion of objects. Maxwell Transient (with motio
2、n) includes dB /dt arising from mechanically moving magnetic fields in space, i.e. moving objects. Thus, effects coming from so-called motion induced currents can be considered. In Maxwell rotational motion can occur around one single motion axis. This paper represents a quick start to using rotatio
3、nal motion. It will exercise rotational motion in Maxwell 3D using a rotational actuator (experimental motor) example. Subsequent papers will demonstrate rotational motion in more depth, non- cylindrical rotational motion using a relays example, as well as translational motion which a solenoid appli
4、cation will serve as an example for. The goal of these papers is solely to show and practice working with large motion in Maxwell. It is neither the goal to simulate real-world applications, nor to match accurately measured results, nor will these papers show in detail how to setup and work with oth
5、er Maxwell functionality. Please refer to the corresponding topics. Quickstart Rotational Motion Using a Rotational Actuator Example Maxwell Transient with large motion is a set of advanced topics. Users should have thorough knowledge on Maxwell fundamentals as well as Maxwell Transient (without mot
6、ion) prior to approaching large motion. If necessary, please consult the proper training papers, help files, manuals, and application notes. We will exercise the following in this document: Create a new or read in an existing rotational actuator model to serve as an experimental testbench for large
7、motion Prepare and adapt this existing actuator model to our needs Apply large motion to the rotational actuator Create the band object Setup rotational motion Mesh 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Perform basi
8、c large motion tests “Large Rotational Standstill” test “Large Rotational Constant Speed” test “Large Rotational Transient Motion” test Compute magnetic rigidity and mechanical natural frequency Estimate timestep for transient solver Make a field animation with large motion Open Input File To Open t
9、he file Select the menu item File Open Browse to the file Ex_9_13_Large_Motion_Rotational.mxwl and open it File should look as shown below 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Setup and Verify the Electromagnetic P
10、art Prior to employing large motion, the electromagnetic part of the model should work correctly. Users are well advised not to setup a complex model completely at once and then try to simulate. Rather, they should work in steps. Especially in cases where the model includes eddy current effects, ext
11、ernal circuits, and large motion, extra steps should be taken to verify the correctness of the setup for each individual property. After that, all properties can be considered together. We use stranded windings with constant current (to generate a fixed stator flux vector around which Rotor1 will os
12、cillate later). Also, eddy effects will be excluded. Perform a test simulation on the electromagnetic part alone. If desired, play with various excitations, switch eddy effects in Stator1 and Rotor1 on and off, vary material properties, etc. For each test check the electromagnetic fields for correct
13、ness. Refer to the corresponding topics on materials, boundaries, excitations, meshing, transient simulations without motion, and post processing. If the electromagnetic part without motion effects yielded correct results, make sure to re-apply the same model setup as elaborated at the previous page
14、 Rotational Large Motion The Maxwell Approach Maxwell separates moving from non-moving objects. All moving objects must be enclosed by one so-called band object. For rotational motion, the band object must be cylindrical with segmented outer surface, i.e. a regular polyhedron. Maxwell considers all
15、moving objects (inside the band) to form one single moving object group. Constant Speed mode: If the model is setup to operate in constant speed mode (see below), Maxwell will not compute mechanical transients. However, changing magnetic fields owing to speed wm, i. e. dB/dt effects are included in
16、the field solution. Mechanical Transient mode: In case inertia was specified, Maxwell will compute the motion equation in each time step. See Appendix A for a variable explanation. 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide J d2j (t) / dt2 + k (t) dj (t) / dt = T (t) + T (t) mmDmym 9.13
17、Maxwell v15Basic Exercises Transient Large Motion - Rotational Setup Model First, lets examine the moving parts to comply with Maxwells conventions: All moving objects can be separated from the stationary objects and can be combined to one single rotating group. All moving objects be considered to p
18、erform the same cylindrical motion. However, the band object has a hole that we have to fill first. Because there is only one moving object, there is no immediate need to enclose it. But filling the hole can also be achieved by fully enclosing Rotor1 by an extra object. We will first do this. Create
19、 Enclosure for Rotor Outer radius of Rotor is around 51.05 mm and height is 25.4 mm Select the menu item Draw Cylinder 1. Using the coordinate entry fields, enter the center of the base X: 0, Y: 0, Z: 0, Press the Enter key 2. Using the coordinate entry fields, enter the radius dX: 51.05, dY: 0, dZ:
20、 0, Press the Enter key 3. Using the coordinate entry fields, enter the height dX: 0 dY: 0, dZ: 25.4, Press the Enter key Change the name of the resulting object to Region_Inner and material to Vacuum Note: Instead of using coordinate entry field, users can directly pick vertices of Rotor to specify
21、 radius and height directly. 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Create Band Object We want a regular polyhedron that fully encloses Region_Inner. Outer surface segmentation should be between 1 and 5, i. e. we wil
22、l have between 360 and 72 outer surface segments. The band object should preferably cut through the middle of the airgap, leaving about the same space to Rotor1 and Stator1. However, this is not a must. Inner radius of the Stator is around 53.75 mm while outer radius of Rotor is around 51.05 mm Thus
23、 middle position comes out to be 52.4 mm. So we will use 52.5 mm as radius of Band object Select the menu item Draw Regular Polyhedron 1. Using the coordinate entry fields, enter the center of the base X: 0, Y: 0, Z: -12.5, Press the Enter key 2. Using the coordinate entry fields, enter the radius d
24、X: 52.5, dY: 0, dZ: 0, Press the Enter key 3. Using the coordinate entry fields, enter the height dX: 0, dY: 0, dZ:50, Press the Enter key 4. Number of Segments: 72 Change the name of the object to Band and material to Vacuum 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Bas
25、ic Exercises Transient Large Motion - Rotational Setup1: Large Rotational Standstill Assign Motion To Specify Motion Select the object Band from the history tree Select the menu item Maxwell 3D Model Motion Setup Assign Band In Motion Setup window, Type tab 1. Motion Type: Rotation 2. Rotation Axis:
26、 Global:Z 3. Positive: Checked Data tab 1. Initial Position: 0 deg Thus, motion will start at t = 0 with the rotor position being as drawn. A jm0 0 would start with Rotor1 rotated by jm0 from the drawn position. 2. Rotate Limit: Unchecked Mechanical tab 1. Consider Mechanical Transient: Unchecked 2.
27、 Angular Velocity: 0 rpm Press OK Now, we have setup “Large Rotation Standstill“ Positive magnetic torque is generated around the positive z-axis (global coordinate system) A mesh Operation is automatically created after motion setup which will ensure refinement of mesh in the gap region between Ban
28、d and Stator/Rotor Analysis Setup To Create Analysis Setup Select the menu item Maxwell 3D Analysis Setup Add Solution Setup In Solve Setup window, 1. Stop Time: 20 ms 2. Time Step: 5 ms 3. Press OK 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Larg
29、e Motion - Rotational Mesh Operations Meshing is a very critical issue with respect to simulation speed and accuracy. For here, we will apply a rather coarse mesh only, by which the solver will just yield satisfactory results. To Assign Mesh Operations on Band For torque computation, the most critic
30、al areas are the airgap and its immediate proximity. Thus, the band mesh is crucial for accurate results. Our Band1 is 50 mm high, one segment is about 4.5 mm wide. We will apply a length based mesh on the surface and inside of Band1. Tetrahedral edge length will be set to 20 mm. We will then see a
31、mesh length of about 10 mm on the outer surface. This will do for these tests. Select the object Band from the history tree Select the menu item Maxwell 3D Mesh Operations Assign Inside Selection Length Based In Element Length Based Refinement window, 1. Name: Band_Length 2. Restrict Length of Eleme
32、nts: Checked 3. Maximum Length of Elements: 20 mm 4. Restrict the Number of Elements: Unchecked 5. Press OK To Assign Mesh Operations on other Objects Press Ctrl and select the objects CoilA and CoilB Select the menu item Maxwell 3D Mesh Operations Assign Inside Selection Length Based In Element Len
33、gth Based Refinement window, 1. Name: Coils_Length 2. Restrict Length of Elements: Checked 3. Restrict the Number of Elements: Unchecked 4. Maximum Number of Elements: 1000 5. Press OK Note: Simultaneously selecting CoilA and CoilB will try to assign 1000 tetrahedrals to both objects, i. e. about 50
34、0 to each 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational In Similar way specify Mesh operations of other objects as specified below Region_Inner 1. Name: Region_Inner_Length 2. Maximum Number of Elements: 2000 Rotor 1. Name:
35、 Rotor_Length 2. Maximum Number of Elements: 2000 Stator 1. Name: Stator_Length 2. Maximum Number of Elements: 2000 Region 1. Name: Region_Length 2. Maximum Number of Elements: 2500 To Create Mesh Select the menu item Maxwell 3D Analysis Setup Apply Mesh Operations Select all the objects except Regi
36、on and select the menu item Maxwell 3D Fields Plot Mesh 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Run Solution To Run the Solution Select the menu item Maxwell 3D Analyze All Results Create Plot for Torque Select the me
37、nu item Maxwell 3D Results Create Transient Report Rectangular Plot In Reports window, 1. Solution: Setup1: Transient 2. Parameter: Moving1 3. X: Default 4. Category: Torque 5. Quantity: Torque 6. Press New Report Report should show a constant torque value of 0.4Nm 9.13-#ANSYS Maxwell 3D Field Simul
38、ator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Setup2 : Large Rotational Constant Speed We will now operate the rotational actuator at a very slow constant speed. Remember, there is only one magnetic excitation present in the model namely constant coil curre
39、nt with stranded windings. Alternatively, Rotor1 could have been assigned permanent magnet properties. Eddy effects have been switched off for all objects. We can now use Transient with Large Motion to monitor cogging torque effects. Copy Design To Craete a Copy of Design Select the tab Large_Motion
40、_Standstill from the Project manager window, right click and select Copy Right click on the Project Name in Project Manager window and select Paste Change the name of the design to Large_Motion_ConstantSpeed Modify Rotation Specifications To Modify Rotation Expand the tree for Model from Project Man
41、ager window Double click on MotionSetup1 to open Motion Setup window In Motion Setup window, Data tab 1. Change Initial Position to -61 deg Mechanical tab 1. Change Angular Velocity to 1 deg_per_sec Press OK Rotor as drawn has a -29 offset. This is taken to be the zero position for the transient sol
42、ver. By giving an extra -61, positive rotation of 1 /s starts at -90. ANSYS Maxwell 3D Field S imulator v15 Users Guide 9.13-# 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Modify Solution Setup To Modify Solver Setup Expand the tree for Analysis from Project manager window Dou
43、ble click on Setup1 to open Solve Setup window In Solve Setup window, 1. Change Stop Time to 180 s 2. Chnage Time Step to 5 s 3. Press OK By rotating at a speed of 1 /s 180 s long, Rotor will move 180, i. e. from - 90 to +90, at 5/step. Run Solution To Run the Solution Select the menu item Maxwell 3
44、D Analyze All Results To View Plot Expand the tree for Results from Project Manager window Double click on Torque plot that was created previously 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Setup3 : Large Rotational Tran
45、sient Motion We will now operate the actuator as a one-body oscillator. Inertia will be specified as well as some damping. We can expect Rotor to oscillate around the stator flux axis (y-axis) at some natural frequency f0, which can be approximated as: cyJ12pf = 0J in kgm2 is the total moment of ine
46、rtia acting on Rotor. cy in Nm/rad is the magnetic rigidity. As an analogy it can be understood as a mechanical spring spanned between Rotor and Stator, whose force coming from the magnetic field. We can roughly calculate rigidity c from the cogging torque function (stable limb): DTy400 mNm= Dj= 2.3
47、 Nm/radcy rad(10)mAssuming inertia J = 0.0024 kgm2, an approximated f0 = 5 Hz results. This is sufficient for estimating the necessary timestep as far as mechanical oscillations are regarded. Copy Design To Craete a Copy of Design Select the tab Large_Motion_ConstantSpeed from the Project manager wi
48、ndow, right click and select Copy Right click on the Project Name in Project Manager window and select Paste Change the name of the design to Large_Motion_MechTransient 9.13-#ANSYS Maxwell 3D Field Simulator v15 Users Guide 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Modify R
49、otation Specifications To Modify Rotation Expand the tree for Model from Project Manager window Double click on MotionSetup1 to open Motion Setup window In Motion Setup window, Data tab 1. Change Initial Position to 0 deg Mechanical tab 1. Consider Mechanical Transient: Checked 2. Initial Angular Ve
50、locity: 0 deg_per_sec 3. Moment of Inertia: 0.0024 Kgm2 4. Damping: 0.015 N-m-sec/rad 5. Load Torque: 0 NewtonMeter Press OK This causes 15 mNm resistive torque at 1 rad/s speed We thus expect oscillation between -29 and +29 (w. r. t. stator flux axis) at f0 200 ms cycle. At 10 ms timestep we will sample one cycle 20 times. ANSYS Maxwell 3D Field S imulator v15 Users Guide 9.13-# 9.13 Maxwell v15Basic Exercises Transient Large Motion - Rotational Run Solution To Run the Solution Select the menu item Maxwell 3D Analyze All Results To View Torque Plot Expand the tree for Results from Projec
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