The magnetic circuit of power transformers is built with magnetic oriented
grain sheet. These modern sheets present a more and more narrow static hyst
eresis cycle, as well as an important remanent flux density, generally larg
er than 1 tesla. Although such a magnetic circuit necessarily includes join
t air gaps, the experiment shows that these don't lead to an appreciable we
akening of remanent fluxes. In order to explain the "paradox" of the existe
nce of an important remanent fluxes in the magnetic circuits including air
gaps, we propose a new model of joint called "pseudo-variable air gap" allo
wing to account for the nature of the type of joint: butt or overlap. It is
shown that the new model fully explains the existence of an important rema
nent when the overlap joint has been used (which corresponds to the power t
ransformer case), as well as the nearly total disappearance of the remanent
fluxes in case of butt type joint. In addition, this model could be easily
implemented in a global transformer model; which contributes to the improv
ement of the transformer models deriving from the circuit theory.