the D-type and B-type dynamo models. Recently, @2014arXiv1412.0997B re-considered this effect for the two different kinds of the dynamical quenching in the B-type models. Here we confirm their results for the axisymmetric spherical dynamo models. Results in the Table 1 (see the B1) shows that the magnetic buoyancy quenches the magnetic flux produced by the dynamo by factor 2 (for the rotation period 25 days) to factor 4 (for the rotation period of 15 days). The magnetic buoyancy is less essential for the D-type models .

Quenching of the dynamo by the magnetic helicity conservation make a little change to the structure of the butterfly diagram of the B-type model. The changes in the D-type models are considerable. They are illustrated in the Figure 3. We find that the polar branch of the toroidal magnetic field becomes more and more pronounced when the period of the rotation is decreased. Also the character of the polar reversals is eventually changed from the smooth and monotonic kind as in the case of the 25-days period to the serge like pattern when the period of rotation is 14.5 days.

![image](Fig4){width="95.00000%"}

Magnetic feedback on the differential rotation
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![Top panel shows the mean surface 