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Losses

In previous models, a transformer can dissipate poweronly by the resistances of its windings (copper losses). Hovewer, two phenomenons exist which induce losses too. The first one and the more well know is currents inducted in the cores by the windings (Foucaut currents). A cvore is indeed a conductor (we do not treat the case of HF ferrite cores), the varying induction flux thru it wxill then induce current cirulation, which can be easely seen to be belong to normal sections of the core. A classical (and efficient!) solution is to construct the core by stacking several iron foils : this procedure increases dynamic resistance of core in the normal sections. The second phenomenon yielding to losses ion core is linked to the shape of hysteresis cycle. Magnetic energy in the core is :
displaymath618
where V is the volume of the core. It is clear that when a whole cycle has been done, magnetic energy given to the core in the ascending part of the induction curve is higher than that recovered in the descending part : the difference is hysteresis loss. When an alternating current is applied at the primary, a cycle is done at each period, showing that hysteresis losses will increase linearly with frequency (if other core characteristics are constant).



Stephane Puechmorel
Tue Jul 8 14:22:42 WET DST 1997