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Employing the standard solar interior model as input we construct adynamically-consistent nonlinear dynamo model that takes into account thedetailed description of the \Lambda- effect, turbulent pumping, magnetichelicity balance, and magnetic feedback on the differential rotation andmeridional circulation. The background mean-field hydrodynamic model of thesolar convection zone accounts the solar-like angular velocity profile and thedouble-cell meridional circulation. We investigate an impact of the nonlinearmagnetic field generation effects on the long-term variability and propertiesof the magnetic cycle. The nonlinear dynamo solutions are studied in the wideinterval of the \alpha effect parameter from a slightly subcritical tosupercritical values. It is found that the magnetic cycle period decreases withthe increasing cycle's magnitude. The periodic long-term variations of themagnetic cycle are excited in case of the overcritical \alpha effect. Thesevariations result from the hemispheric magnetic helicity exchange. It dependson the magnetic diffusivity parameter and the magnetic helicity productionrate. The large-scale magnetic activity modifies the distribution of thedifferential rotation and meridional circulation inside convection zone. It isfound that the magnetic feedback on the global flow affects the properties ofthe long-term magnetic cycles. We confront our findings with solar and stellarmagnetic activity observations.

Nonkinematic solar dynamo models with double-cell meridional circulation