# NUMERICAL ANALYSIS OF THE TWO-FREQUENCY TECHNIQUE FOR MEASURING THE TORCH DISCHARGE RESISTANCE WITH OR WITHOUT TAKING INTO ACCOUNT ITS EQUIVALENT INDUCTANCE

Puzanov, АО |

Organization: O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine |

https://doi.org/10.15407/rej2018.01.071 |

Language: Russian |

Abstract: he torch discharge (TD) is applied in a number of areas of science and technology. However, the lag in theoretical research from ever-growing urgent needs makes the solution of many practical-oriented problems related to the TD relevant. In the present paper, the study of the proposed by the author original method for measuring the resistance of the TD ( L is continued. The presented numerical calculations are supplemented by the previously performed estimations of the theory application area. The sought resistance R is considered as frequency independent within the theory. Performed estimations and calculations confirm the applicability of the approach presented both with and without taking into account the TD inductance in the frequency range from 1·10_{d}^{ ‑3} to 3.0 GHz. It is shown that a necessity to account the inductance of the torch discharge of the power below 1 kW and the choice of appropriate frequency pairs f_{0,1} have to be studied in each case separately. A possibility to excite the torch discharge at two sufficiently different frequencies is mandatory. Numerical calculations of R without taking the inductance into account show that calculations accuracy depend weakly on the height of the torch discharge location relative to the ground. The accuracy increases if the discharge diameter decreases; the discharge length increases; the value of _{d}R is small and less than 1 kОhm; _{d}f_{0,1 }frequencies converge. It results in a necessity to add an equivalent inductance into the Neiman’s scheme making appropriate modifications of the calculation formulae. It is shown that the resonant frequency f is approximately proportional to _{r}f_{max}, which is the upper limit of the frequency range where the circuit theory remains applicable for the discharge modeling. Thus, the knowledge of f and _{r}f_{max} allows one to refine the values of the function a, which is the ratio of voltages at which the electrical and geometrical characteristics of the torch discharge remain unchanged. The approach proposed results in more effective using of industrial resources. |

Keywords: Neiman’s model, torch discharge, torch discharge inductance, torch discharge resistance |

Manuscript submitted 27.12.2017

PACS 52.75.Hn, 52.80.Pi, 51.50.+v

**Radiofiz. elektron. 2018, 23(1): 71-81**

Full text (PDF)

- Efimov, B. P., Kuleshov, A. N., Khorunzhii, M. O. and Mos’pan, L. P., 2008. The Properties of Microwave Discharge in the Goubau Line.
*High Temp.*,**46**(6), pp. 874–880. - Yefimov, B. P., Kuleshov, A. N., Khorunzhiy, M. O. and Puzanov, A. O., 2009. Excitation of mw torch discharge at the edge of single-conductor line. In: V. M. Yakovenko, ed. 2009.
*Radiofizika i elekronika*. Kharkov: IRE NAS of Ukraine Publ.**14**(3), pp. 267–274 (in Russian). - Puzanov, A. O., Khorunzhiy, M. O., Kuleshov, A. N. and Yefimov, B. P., 2011. Research Results and Applications of Torch Discharge in the Goubau Line.
*IEEE Trans. Plasma Sci.*,**39**(11), part 1., pp. 2878–2879. DOI: https://doi.org/10.1109/TPS.2011.2166407 - Yefimov, B. P., Kuleshov, A. N., Puzanov, A. O. and Khorunzhiy, M. O., 2013. Torch microwave disharge in a single-conductor line: experimental setup and research results. In: N. I. Slipchenko, ed. 2013.
*Radiotechnika*. Kharkov: National Univ. Radioelectronics Publ. 172, pp. 125–133 (in Russian). - Puzanov, A. O., Yefimov, B. P., and Kuleshov, A. N., 2014. Resistance of tourch discharge and frequency dependence of hf generator minimal voltages required to sustaining tourch discharge combustion.
*Radiofizika i elekronika*,**5(19)**(3), pp. 61–70 (in Russian). - Puzanov, А. О., 2018. Two-frequency approach for determination of a resistance of a torch discharge within the frames of M. S. Neiman equivalent scheme with added equivalent inductance of the discharge.
*Radiofiz. Elektron.*,**23**(1), pp. 61–70 (in Russian). - Nеiman, М. S., 1935. On the torch discharge.
*Izvestiya elektropromyshlennosti slabogo toka*, 7, pp. 38–48 (in Russian). - Kaptsov, N. А., 1956.
*Electronics.*Мoscow: Gos. izd-vo tekhniko-tеоretich. lit-ry Publ. (in Russian). - Lutsenko, Yu. Yu., 2011.
*Physics of high-frequensy capasitive discharges.*Тоmsk: Тоmskiy Politekh. Univer. Publ. (in Russian). - Smirenin, B. А. ed., 1950.
*Reference book on radio engineering.*Мoscow-Leningrad: Energetich. State Publ. P. 87 (in Russian). - Terman, F. E., 1943.
*Radio engineers’ Handbook.*New York: McGraw-Hill Company, Inc. Publ. - Vlasov, V. А., Lutsenko, Yu. Yu., Tikhomirov I. А., 2008. Definition of an electrical properties of the HF torch discarge.
*Те**plofizika i aeromekhanika*,**15**(1), pp. 131–137 (in Russian). - Мazda, F. F., 1990.
*Electronic Instruments and Measure-**ment Techniques*. Translated from English by V. D. Novikov. Moscow: Mir Publ. (in Russian).