Electrothermics

1.4. Magnetothermal coupling

The thermal source term introduced in the heat diffusion equation is none other than the power density per unit volume p dissipated by Eddy losses. This term defined in section 1.2.6.2 is given by:

[1.56]

Because electromagnetic phenomena evolve very quickly compared to thermal phenomena, the electromagnetic model is considered to be in the steady state during the magnetothermal coupling.

For the thermal problem, the study is conducted based on the steady or harmonic state. In the transient state, the temperature’s evolution is obtained step-by-step in time. However, for the harmonic state, complex representation is used. The temporal derivation operator is replaced by j.

For large variations in temperature, the electrical conductivity also depends on temperature. The (T) term is thus another coupling element between electromagnetic and thermal phenomena. We then speak of strong coupling between the two phenomena. In this book, the iterative algorithm described in Figure 1.7 has been used to solve strong coupling problems. In this algorithm, T represents temperature and A the magnetic vector potential. For other electromagnetic formulations, we must replace ...