## 3 Results and Discussion  
The values of current and voltage at the electrolytic cell were measured, and graphs of \(U(t)\), \(I(t)\), and \(P(t)\) were subsequently plotted based on these measurements (Figures 4-6, respectively). Figure 4: Dynamics of voltage on the electrolytic cell during 10 s of processing at different voltages on the power source. Next, the amount of heat released as a result of the current flow was calculated using Formula (1). The calculation results are presented in Table 1.  
The electrolyte's temperature was measured using an LT-300 thermometer (Termex, Tomsk, Russia) to evaluate its heating after processing. Initially, the electrolyte temperature was 20 \({}^{\circ}\)C. Following a 10 s hardening process at U = 150 V, the electrolyte temperature reached 20.02 \({}^{\circ}\)C. With voltages of 200 V and 250 V, the electrolyte temperature increased to 20.05 \({}^{\circ}\)C and 20.12 \({}^{\circ}\)C, respectively, after the same duration. The mass of the entire electrolyte solution in the tank was about 15 kg. The obtained values made it possible to calculate the amount of heat \(Q_{h}\) that went into heating the electrolyte using Formula (4) for each of the three hardening modes. The calculation results are shown in Table 1.  
Figure 5: Dynamics of current strength in the system during 10 s of processing at different voltages on the power source. Figure 6: Dynamics of electrical power in the system during 10 s of processing at different voltages on the power source. When analyzing the dynamics of the current \(I(t)\) in the system, it was found that each single discharge corresponds to a local peak on the experimental curve (Figure 7). Therefore, the average number of pulses in the process can be approximately estimated by the number of pronounced local current maxima within the time interval of processing. Between two adjacent peaks, there are characteristic sections that reflect the vapor-gas shell accumulation stage. This stage is visualized as an interval from a local minimum to the subsequent maximum and can be interpreted as a gradual increase in resistance due to the formation and growth of the shell (red area on the graph). The discharge itself occurs when this shell is broken through and manifests itself as a local current maximum. This is followed by the recovery phase--an area on the graph from a local maximum to a subsequent minimum, reflecting the redistribution of the electric field, stabilization of the system and repeated growth of the shell. Accordingly, for each processing mode, it is possible to estimate the number N of such shell recoveries, which is subsequently used to estimate the amount of heat \(Q_{\sigma}\) that went to electrolyte evaporation. The calculation results are reflected in Table 1.  
In Table 1, the calculated values of vaporization heat \(Q_{\sigma}\) for both the 150 V and 250 V regimes appear identical. This was due to the use of the same number of vapor-gas envelope pulsations (N = 17), as observed from current oscillograms, along with identical assumptions for vaporization volume, electrolyte density, and latent heat of vaporization, which were considered approximately constant between the two regimes. Although the input power was different, the frequency and number of pulsation cycles remained similar during the 10 s treatment interval, resulting in comparable cumulative energy expenditure for vapor generation in both cases. As a first approximation, the holder was considered more massive than the part, and it was assumed that heat dissipation to the holder was more significant than to the surrounding air. It was also assumed that the pressure in the contact zone was moderate, with small oxides and roughness. Under these conditions, the contact conductivity typically ranges from 500 to 2000 W/m\(\cdot\)K in the literature [28]. To provide a more physically grounded estimation, we employed the solid-spot contact model proposed by [PERSON] [29]. This model considers \"rough-rough\" metal contact, where both surfaces undergo plastic deformation.