Power balance (Transient Magnetic application)

Introduction

In Transient Magnetic application, the resolution is carried out for each time step. The power balance is carried out for a time interval defined by the user.

Sub-systems definition: reminder

A system comprises one or more sub-systems as the one presented in the figure below.

Computation / results

For each of the sub-systems, as well as for the time interval defined by the user (Δt = t2 - t1), the following quantities are computed:

  • the stored energies (instantaneous values, for t = t1 and for t = t2)
  • the dissipated powers (mean values over the time interval Δt)
Attention: In the presence of symmetries and/or periodicities, the results correspond to the whole device, contrary to what is usually carried out in Flux.
Remember: The results usually correspond to the part of the device represented in the finite elements domain, with the exception of the magnetic flux in the coils, the forces/torques applied on mobile mechanical sets.

Stored energies

For the stored energies, a summary of the computed quantities is presented in the table below.

Sub-system

Stored energy (at a moment t) (in J)
Internal

Magnetic energy stored in the computation domain: , with

Internal mechanical energy:
Electrical

Energy stored in the coils:

Energy stored in the capacitors:
Mechanical

External mechanical energy
Attention: In reference to the energy stored in the coils, the initial current is not taken into consideration in Flux at the present moment.

Dissipated powers

For the dissipated powers, a summary of the calculated quantities is presented in the table below.

Sub-system

Losses (instantaneous values) (in W)

Losses (mean values) (in W)
Internal

Losses by Joule effect in solid conductors

Losses by Joule effect in stranded conductors

Internal mechanical losses:

(translating motion)

(rotating motion)
Electrical Losses by Joule effect (resistive components):
Mechanical

External mechanical losses:

(translating motion)

(rotating motion)