Coupled Fields Simulations

Course Description

Electromagnetic fields and the design via simulation. Electromechanical simulation. Lumped parameter coupling and field coupling. Coupling with structural and thermal calculation. Optimization methods.

Learning Outcomes

  1. Describe the principles of engineering design using computer simulations
  2. Describe the methods of structural optimization
  3. Explain the governing equations of electromagnetic, structural and thermal calculation
  4. Find the possible application for magnetic and electrical transducers
  5. Apply the coupled calculation using lumped parameters
  6. Apply the coupled field calculation
  7. Optimize the system topology and apply the parametric analysis

Forms of Teaching


Involvement in lectures.

Independent assignments

Homework assignments.


Laboratory work.

Work with mentor

Lecturers consultations.

Week by Week Schedule

  1. Single fields versus coupled fields simulation. Electromagnetic, mechanical and thermal simulation. Challenges of coupled fileds simulation.
  2. Electromagnetic field: equations and electromechanical calculations, forces and torques. Eddy currents. Optimization methods.
  3. Joule heating and thermal stress. Electrothermal simulation, dielectric heating. Induction heating.
  4. Conjugate heat transfer: conduction, convection and radiation. Boundary conditions.
  5. Energy in electromagnetic field and principle of virtual work. Capacitances, inductances and mutual inductances. Magnetic circuits.
  6. Analogies of electromagnetic, mechanical and thermal systems. Equivalent electric circuits.
  7. Lumped parameters coupling.
  8. Midterm exam
  9. Mechanical impedance. Baffled circular piston. Vibrations of a circular membrane.
  10. Electric transducers.
  11. Magnetic transducers. Topology optimization.
  12. Field coupling.
  13. Electromagnetic levitation.
  14. Parametric size analysis and structural optimization.
  15. Final exam

Study Programmes

University graduate
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Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam I, Školska knjiga
Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam II, Školska knjiga
S. Berberović (1998.), Teorijska elektrotehnika - odabrani primjeri, Graphis
Jack Philip Holman (2002.), Heat Transfer, McGraw-Hill College
Stanley V. Marshall, Gabriel G. Skitek (1996.), Electromagnetic Concepts and Applications, Prentice-Hall
Lawrence J. Kamm (1995.), Understanding Electro-Mechanical Engineering, John Wiley & Sons
Sergey Edward Lyshevski (2000.), Nano- and Micro-Electromechanical Systems, CRC Press

For students


ID 222778
  Winter semester
L3 English Level
L2 e-Learning
60 Lectures
13 Laboratory exercises

Grading System

Very Good