Steady State AC Magnetic : solved equations (vector potential 3D)

Introduction

The magnetic vector potential is a proposed model for 3D applications.

Equation solved with magnetic vector potential model (3D)

The equation solved by the finite elements method in a Steady State AC

Magnetic application is written:

Where :

[ν_r] is the tensor of the reluctivity of the medium (in m/H)

ν₀ is the magnetic reluctivity of the vacuum ; ν₀ = 1/μ₀ = 1/(4 π 10^-7) (en m/H)

is the magnetic vector potential (in Wb/m)

σ is the electrical conductivity of the medium (in S)

J is the complexe number as J² = -1

ω is the pulsation (in rd/s)

V is the magnetic scalar potential (in A/m²)

is the source electric vector potential source (in A/m)

is the source magnetic vector potential (in Wb/m)

is the induction of the magnets (in Wb/m)

Formulations in Flux