A method for suppressing the down phase of the xenon oscillations of the vertical power distribution with the aid of the working and controlling groups of full-length regulation units was studied in [1]. The initially controlling group is located outside the core and the working group is located within the regulation zone, constituting a range of 70-90% of H (H is the core height). Control consists of countermotion of the groups mutually compensating the reactivity introduced, so that the reactor remains in a critical state at constant power. The controlling group influences the reactivity less effectively than does the working group, to the extent that extraction of the working group allows for insertion of the controlling group into the bottom half of the core. While the controlling group passes the upper half of the core, its effect on the axial offset (AO) of the power distribution is compensated by extraction of the working group. When the controlling group is inserted into the bottom half of the core, the action of both groups on the offset adds, giving the required distribution of the power distribution.The proposed method is characterized by a controlling effect --increment of the offset (dAO) and width of the "range of controllability" --by a set of initial positions of the working group for which a sufficiently high and nearly constant value of dAO is achieved. We shall determine the "limiting characteristic" --the dependence of the maximum dAO, achieved by the maximum admissible displacement of the groups from the initial position of the working group.The calculations show that for effective suppression of xenon oscillations the controlling perturbation of the offset must not be less than 3 % of AO. In the best case, the controllability range should completely cover the regulation range. It is obvious that possibilities for control are limited in the case when the displacements of the working group are limited to the regulation range. In this connection, two limiting positions of the working group are examined below: at the upper limit of the regulation range and at the top boundary of the core.We analyze below the different variants of control. The analysis is based on calculations performed with the BIPR-7 program [2]. The computational results are presented in Fig. 1 in the form of plots of the limiting characteristics. Each limiting characteristic corresponds to two curves according to the above-mentioned two limiting positions of the working group: at the upper limit of the regulation range (--) and at the top boundary of the core (---).For the reactor in the fifth power-generating unit of the Novovoronezh nuclear power plant, the working group consists of 12 regulation units, each of which contains 12 rods --absorbing elements.A controlling group, consisting of three regulation units which are located at the periphery of the core, was studied in [I]. The corresponding limiting characteristics are presented in Fig. 1 (curves 1). It is obvious that the drawback here is the narrow controllability ra...