- •Advanced chapters of theoretical electro-engineering.
- •Lecture 8
- •Classification of the numerical methods
- •Classification of the problems
- •Classification of the methods
- •Method of moments
- •Method of moments
- •Method of moments
- •Integral equation of magnetostatics
- •Discretization of the problem domain
- •Algebraic equation system
- •Finite element method
- •Main steps
- •Discretization.
- •Discretization. Examples of the mesh.
- •Linear approximation
- •Finite functions
- •Simplex coordinates
- •Approximation of functions inside triangles
- •Approximation of the equation
- •Weighted residual method (метод взвешенных невязок)
- •Galerkin method (метод Бубнова-Галеркина)
- •Galerkin method
- •Week formulation
- •Week formulation
- •Week formulation
- •Week formulation
- •1-st type boundary conditions
- •The potential and field intensity
- •2-nd type boundary conditions
- •2-nd type boundary conditions
Advanced chapters of theoretical electro-engineering.
SPbTU, IE, Prof. A.G. Kalimov 2022
1
Lecture 8
Numerical Methods of the
Electromagnetic Field
Modeling
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Classification of the numerical methods
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Classification of the problems
Electromagnetic fields
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Quasi-static problems |
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Magnetic |
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Electric |
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Conducting |
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conducting |
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4
Classification of the methods
Methods of the Electromagnetic
field computation
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Differential |
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Hybrid |
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Finite |
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differences |
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elements |
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Finite volumes |
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Method of |
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differential |
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moments |
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Boundary equations
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Method of moments
6
Method of moments
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H Hc Hm |
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H Hm Hc |
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H B |
B 0 H 0 M |
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H 0 H 0 M |
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m |
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Method of moments
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Um (r ) |
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m |
- Domain occupied by magnetized material. |
8
Integral equation of magnetostatics
J |
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Bio-Savart Law |
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Hc (r ) |
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d c |
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m - Magnetized domain.
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M (r ) |
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M (r ) (r |
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d m Hc (r ) |
Main variable– magnetization vector.
9
Discretization of the problem domain
Usual basic elements:
Tetrahedrons;
Prisms;
Parallelepipeds.
Shape:
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