Homework Assignment

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Revision as of 08:08, 14 March 2019 by Marcsa (talk | contribs) (Calculating the force on the solenoid valve by finite element method)

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Analysis of Magnetic Valve

Instructor

  • Dániel Marcsa (lecturer)
  • Lectures: Monday, 14:50 - 16:25 (D201), 16:30 - 17:15 (D105)
  • Office hours: by request

Teaching Assistants:

  • -
  • Office hours: -.

Aim of Assignment

Students will learn the basics of electromagnetic field calculations, their main steps, and gain practice in evaluating results and writing a Technical Report that meets international expectations.

Knowledge needed to solve the problem

  • The main steps of the finite element method;
  • Theoretical knowledge of the static magnetic field (for defining materials, for excitation);
  • Knowledge of CAD system to create geometry;
  • Download and install ANSYS AIM Student.

The Semester Assignment

The task consists of two parts, a basic task, with a faultless solution of up to 70%, and an extra task, with an additional maximum of 30%.

Deadline May 25, 2019, 12:00
Output Form: PDF format. Color drawings should be made so that their contents are clear to the reader in black and white.
Language English
Place of submission: marcsa@maxwell.sze.hu email address
Late submission: After every day started, a 5% deduction from the achieved result (i.e. after 5 days delay 100% can only be obtained up to 100% - 5x5% = 75%).
Evaluation: 0 - 50% - Insufficient (1)
51 - 60% - Satisfactory (2)
61 - 70% Medium (3)
71 - 85% Good (4)
86 - 100% - Excellent (5)
For the formal requirements, the requirements of CFD and mechanics are also valid here.

Part I of the Assignment

Calculating the force on the solenoid valve by finite element method

The geometry and dimensions of the task.

The task is cylindrical to the vertical ([math]z[/math]) axis, and the three-dimensional geometry must be prepared according to the specified dimensions (see figure).

Tasks

  • Define the problem type based on the given parameters;
  • Creating and specifying the task geometry in ANSYS Discovery AIM;
  • Run the FEM simulation;
  • Validation of results for a 2mm air gap. The value of the force acting on the plunger: [math]F(z=2\text{mm})=1.4611~\text{N}[/math] (inductance[math]L(z=2\text{mm}=21,27~\text{mH}[/math]);
  • Test of Solution Performance (Solution performance tuning, Curved surface meshing) as a function of force;
  • Number of finite elements (Tetrahedra), Energy (Total Energy), Energy Error and Delta Energy in the function of adaptive steps in two different cases;
  • Postprocessing [at least two of the below]:
1) determination of force and inductance;
2) displaying equipotential lines;
3) display the minimum and maximum of the magnetic flux density;
4) display the magnetic field strength;
5) displaying magnetic flux density vectors.
  • Preparation of a Technical Report based on the use of the above results.

Note: The “Part I of the Assignment” elements will be reviewed in detail during the exercise to prepare and run a simulation model for an electromagnetic task. On this basis, students can easily complete Part I of the Assignment by attending the exercises.

Parameters for this Assignment:
Relative permeability of air and coil [math]\mu_r = 1[/math];
The excitation of the coil (To validate the results): [math]I=0.76~\text{A}[/math], [math]N=789~{turns}[/math] (DC);
Magnetic curve of the core and plunge:
-

BHCurve Steel1008.PNG

'Figure 1.' - Steel 1008 steel magnetization curve.

Part II. of the Assignment

Determining the force acting on the moving part of the problem (plunger) and the inductance of the coil as a function of displacement.

Note: This task corresponds to the solenoid valve in internal combustion engines that controls the injection.

Specific tasks
  • Considering the plunger movement to the initial state (2mm air gap) from [math]-1.8\text{mm} \text{to} 10\text{mm}[/math] (at least in 7 positions). Detailed instructions on the solution will not be available.
  • This part is intended to measure the degree of autonomy, initiative and diligence of the student, i.e.:
  • # is the student able to do independent work;
  • # to design, assemble and run the simulation alone.