Aims
Knowledge and Understanding
Having successfully completed the module, you will be able to demonstrate knowledge and understanding of:
A1. Basic concepts of electromagnetic theory
A2. Vector algebra in the electromagnetic field context
A3. Properties of static and time-varying electromagnetic fields
A4. Physical meaning of Maxwell's equations
A5. Mathematical description of fundamental laws of electromagnetism
A6. Electric and magnetic properties of matter
A7. Principles of electromagnetic radiation
A8. Fundamentals of modelling and simulation techniques applied to electromagnetics
A9. Dual energy bounds techniques
A10. Principles of finite difference and finite element formulations
A11. Advantages and limitations of various field modelling techniques
A12. Techniques of sparse matrices and compact storage schemes
Intellectual Skills
Having successfully completed the module, you will be able to:
B1. Appreciate the role of computational electromagnetics in engineering
B2. Identify different types of equations governing electromagnetic processes
B3. Derive equations describing electromagnetic phenomena
B4. Formulate fundamental laws of electromagnetism
B5. Solve differential equations using separation of variables
B6. Analyse simple electromagnetic systems
B7. Appreciate the complexity of CAD systems for electromagnetic design
B8. Distinguish between various stages associated with CAD
B9. Design models suitable to analyse performance of electromagnetic devices
B10. Relate field displays to fundamental concepts of electromagnetics
Subject SpecificSkills
Having successfully completed the module, you will be able to:
C1. Demonstrate electromagnetic theory applied to simple practical situations
C2. Explain the meaning and consequences of field theory
C3. Apply Maxwell's equations to problems involving simple configurations
C4. Interpret electromagnetic solutions
C5. Explain the operation of simple electromagnetic devices
C6. Applymathematical methods and vector algebra to practical problems
C7. Be familiar with running commercial finite element software
C8. Set up, solve and interrogate solutions to problems using FE software
Employability/Transferable/KeySkills
Having successfully completed the module, you will be able to:
D1. Write programs using C language
D2. Use electromagnetic CAD packages
D3. Write technical reports
D4. Work in a small team to conduct an experiment
Approximate methods of field solution (2 lectures)
o Geometrical properties of fields; method of ‘tubes and slices’.
• Flow of steady current (2 lectures)
o Potential gradient; current density; divergence; nabla operator; Laplace's equation.
• Electrostatics (3 lectures)
o The electric field vector; scalar electric potential; Gauss's theorem and divergence; conservative fields; Laplace and Poisson equations; electric dipole, line charge, surface charge; solution of Laplace's equation by separation of variables; polarisation; dielectrics, electric boundary conditions.
• Magnetostatics (4 lectures)
o Non-conservative fields, Ampere's law and curl; magnetic vector potential; magnetization and magnetic boundary conditions; magnetic screening with examples.
• Electromagneticinduction (2 lectures)
o Faraday's law; induced and conservative components of the electric field, emf and potential difference.
• Maxwell's equations (2 lectures)
o Displacement current; Maxwell's and constituent equations; the Lorentz guage; wave equation.
• Time-varying fields in conductors (3 lectures)
o Diffusion and Helmholtz equations; skin depth; eddy currents in slabs, plates and cylindrical conductors; deepbar effect.
• Computational aspects of approximate methods of field solution (1 lecture)
o The method of tubes and slices.
• Review of field equations (1 lecture)
o Classification of fields: Laplace's,Poisson's, Helmholtz, diffusion, wave equations; Vector and scalar formulations.
• Finite difference method (5 lectures)
o Five-point scheme,SOR; example; Diffusion and wave equations, explicit formulation,Crank-Nicholson implicit scheme, a weighted average approximation, alternating-direction implicit method;Convergence and stability; handling of boundary conditions; Alternative formulation of the finite-difference method.
• Finite element method (5 lectures)
o Variational formulation, first-order triangular elements, discretisation and matrix assembly; the art of sparse matrices; alternative approximate formulations (including Galerkin).
• Electromagnetic radiation (6 lectures)
o Current element; radiation resistance; plane waves; linear antenna;antenna arrays;
waveguides.
Note: the first 30 hours of lectures are common with ELEC2211 and ELEC2219, the last 6 hours are different.
Assessment methods
Method | Hours | Percentage contribution |
Coursework | - | 35% |
Laboratories | - | 15% |
Exam | 2 hours | 50% |
Referral Method: By examination