## 3 Calculation Results
### Confinement Times  
Using the ion equations for calculations and the resulting more accurate determination of \"partial confinement times\" for particles in the plasma led to the increase of partial confinement times of beam particles and pellets by up to 2.5 times (in the corresponding working points). However, for the source of particles in the form of neutrals entering the plasma through the separatrix, the particle confinement times decreased up to 3 times. Due to this, the deposition of particles from different sources to the density of the core plasma changed compared to the previous estimates [8]. The increase of \"partial particle confinement times\" (Figure 5) led to the decrease of required particle flows (the strength of particle sources). Thus, Figure 2 shows the flows into the plasma from pellets, which are 2.7 times lower than those determined earlier (in the corresponding working points). The diffusion particle losses from the plasma are also lower than those calculated earlier, which leads to a proportional increase of gas puffing (see Equations (2) and (3) in [8]). Figure 5b-e shows the differences of corresponding times for different ions. The confinement times of ions from pellets shown in Figure 5b,c are longer than the injection times \(1/f_{pol}<0.1\) s (see Section 3.3). This indicates that the estimates are reasonable, since pellet injection will occur more quickly than the characteristic density decay times.  
The nonlinearity of the inverse problem that is being solved, as well as the effect of density on sources and sinks of particles and heat, leads to the change in particle flows not being obvious during the transition from one regime to another. The nonlinearity also makes the operation of feedback links more difficult, due to which the regime (defined by \(<\)\(n_{e}\)> and \(\tau_{p}/\tau_{E}\)) can differ within 10% from the required one. As a result, in addition to the difference of \"partial times\" when using the ion equations in the calculations, the global energy and ion confinement times are also different (compared to the previous estimates). At the same time, for the average values of plasma density, the values of \(\tau_{P}\) and \(\tau_{E}\) almost do not differ from those obtained in [8], and for higher and lower densities the confinement times decrease and increase by 15%, respectively.  
Such implicit effects can be traced by analyzing the variation of the global parameters over the calculation mesh. It is seen in Figure 6 that the energy confinement time depends monotonously on the plasma density, while the ion confinement time is almost independent of \(<\)\(n_{e}\)>, yet it changes with the confinement parameter \(\tau_{p}/\tau_{E}\). The time \(\tau_{tot}\) that characterizes the ion confinement time without taking into account recycling depends uniformly on both \(<\)\(n_{e}\)> and \(\tau_{p}/\tau_{E}\) in the working window. The increase of the confinement time with increasing density is connected to the decrease of the diffusion coefficient.  
Figure 4: Variation of (**a**) deuterium \(S_{sep}^{D}\) and (**b**) tritium \(S_{sep}^{T}\) flows through the separatrix in the working window of densities \(<\)\(n_{e}\)> and confinement parameters \(\tau_{p}/\tau_{E}\).  
Figure 5: Variation of partial confinement times in the working window of densities <\(t_{e}\)> and confinement parameters \(\tau_{p}/\tau_{E}\).