  The 2D Parker's mean-field dynamo equations with a various distributions of
the $\alpha$- and $\omega$-effects are considered. We show that smooth profiles
of $\alpha$ and $\omega$ can produce dipole configuration of the magnetic field
with the realistic magnetic energy spectrum. We emphasize that fluctuating
$\alpha$-effect leads to increase of the magnetic energy at the small scales,
breaking the dipole configuration of the field. The considered geostrophic
profiles of $\alpha$ and $\omega$ correspond to the small-scale
polarwards/equatorwards travelling waves with the small dipole field
contribution. The same result is observed for the dynamic form of the
$\alpha$-quenching, where two branches of the weak and strong solution coexist.
