  We want to study the connections between the magnetic field generated inside
the Sun and the solar wind impacting Earth, especially the influence of
north-south asymmetry on the magnetic and velocity fields. We study a
solar-like 11-year cycle in a quasi-static way: an asymmetric dynamo field is
generated through a 2.5-dimensional (2.5-D) flux-transport model with the
Babcock-Leighton mechanism, and then is used as bottom boundary condition for
compressible 2.5-D simulations of the solar wind. We recover solar values for
the mass loss rate, the spin-down time scale and the Alfv\'en radius, and are
able to reproduce the observed delay in latitudinal variations of the wind and
the general wind structure observed for the Sun. We show that the phase lag
between the energy of the dipole component and the total surface magnetic
energy has a strong influence on the amplitude of the variations of global
quantities. We show in particular that the magnetic torque variations can be
linked to topological variations during a magnetic cycle, while variations in
the mass loss rate appear to be driven by variations of the magnetic energy.
