The main subject of the paper is to show how the shape and thickness o
f an alpha-layer and the amplitude of the alpha-effect influence the s
olution of model Z, especially the magnetic field energy (MFE). Soluti
on of model Z with different input parameters allows us to conclude th
at the larger the thickness of the alpha-layer, the greater the ratio
of the MFE of the meridional to the MFE of the azimuthal field and, th
erefore, the greater the efficiency of the alpha-effect, although the
appropriate value of the amplitude of the alpha-effect is more difficu
lt to find. The MFE tends to oscillate for a sufficiently thick alpha-
layer if the amplitude of the alpha-effect is changed, but the oscilla
tions are suppressed and MFE is again stabilized. If the thickness of
the alpha-layer does not vary, the MFE of the azimuthal field relative
to the MFE of the meridional field decreases with increasing amplitud
e of the alpha-effect in certain narrow limits. The geostrophic shear
does not change its character, and its maximum follows the maximum of
alpha-effect in the layer.