# Simulation of Parameters of Plasma Dynamics of a Magneto Plasma Compressor
## 5 Comparison of the Results of Calculations of MPC Discharges in Gases with Experimental Data  
The parameters of the device were the following: C = 30-900 \(\mu\)F, U = 2-200 kV, an argon and air environment, \(p\) = 0.01-0.25 MPa. First of all, we note a satisfactory (5-10%) coincidence with the experiment of electrical parameters (amplitudes, degree of attenuation, and duration of half-periods) of the pulses of discharge current and voltage on the electrodes for all of the energy-power modes studied in the experiment. In order to illustrate what has been said, Figure 5 shows the graphical dependences of the experimental [15; 16] and calculated basic electrical parameters of the MPC discharge (C = 750 \(\mu\)F, U = 5 kV) on the density of gas (Ar). Here, the energy is supplied to the plasma in first half-cycle of MPC discharge. The dynamics of changes in the position of the external boundaries of the discharge over time in all MPC power modes, both in calculations and in experiments, satisfactorily coincide. The dynamics of the changes in the velocity of the head of the shock wave in the gas in the direction of the discharge axis are quantitatively close (as well as in the experiment, there is a movement with acceleration at the phase of growth of the discharge current of the first half-period), and there is a dependence of the average (one half-period) velocity of the shock wave in the gas on the average electrical power, the geometry of the electrodes, the density of the surrounding gas, etc. Thus, in Figure 6, the experimental and calculated graphical dependences of the average velocity of the SW boundary of the MPC discharge on the Ar density are presented. It can be seen that the experiment and calculated results over the entire studied range of characteristics coincide with an accuracy no lower than 20%. Figure 4: The Alfvén velocity lines (**a**), and the velocity modulus (**b**) at time \(t=6.5\) microseconds for the magneto plasma compressor (internal radius R\({}_{1}\) = 0.8 \(\times\) 10\({}^{-2}\) m, and external radius R\({}_{2}\) = 5 \(\times\) 10\({}^{-2}\) m) with characteristics C = 750 \(\mu\)F, U\({}_{0}\) = 10 kV for Ar. The integral radiative characteristics of MPC discharges are both quantitatively and qualitatively consistent with experimental data [15; 16]. Thus, we note that, as in the experiment, the calculations revealed the optimal radiation mode when the integral light output \(\eta_{\Sigma m}(\mathrm{A_{m}})\) is at a maximum. At the same time, the level of the calculated maximum values of light output \(\eta_{\Sigma m}\) coincides with the experimental values. Also consistent with the experiment is the fact established by calculation that the type of gas has a rather weak effect on the integral radiative efficiency. The results of calculations of spectral-brightness characteristics of MPC in general satisfactorily coincide with experiments. The calculated spectral energy distributions of MPC discharge radiation in gases, depending on the gas density \(\rho_{0}\), average electrical power \(\mathrm{P_{ell}}\), and the type of gas (see Table 2), also correspond to experimental data [15; 16]. Figure 5: Electrical parameters of MPC discharge (C = 750 uF, U\({}_{0}\) = 5 kV) depending on gas density (argon): 1—E\({}_{\mathrm{p11}}\); 2—J\({}_{m}\); 3—R\({}_{\mathrm{p1}}\), the dotted line corresponds to the experiments [15; 16]; the solid line corresponds to the calculation. Figure 6: Velocity of the SW boundary of discharge along the MPC-discharge axis (C = 750 uF, U = 5 kV), depending on the density of the surrounding gas (argon): 1—experimental data [15; 16]; 2—calculation. At the same time, in the visible range, the \"half\" duration of the radiation pulse is of the same order as the time of the discharge period and more. The maximum brightness temperature MPC, which occur at times close to the maximum power of the power supply, in calculations and experiments approximately coincide with each other for all of the studied power modes.