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	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	Internal mechanical losses: (translating motion) (rotating motion)
Electrical	Losses by Joule effect (resistive components):
Mechanical	External mechanical losses: (translating motion) (rotating motion)