RF inductor power losses of ferrite-free electrode-less low pressure mercury inductively-coupled discharges excited in closed-loop dielectric tube were studied. The modelling was made within the framework of low pressure inductive discharge transformer model for discharge lamps with tubes of 16, 25 and 38 mm inner diam. filled with  the mixture of mercury vapour (7.5×10–3 mm Hg) and argon (0.1, 0.3 and 1.0 mm Hg) at RF frequencies of 1, 7; 3.4 and 5.1 MHz and plasma power of (25–500) W. Discharges were excited with the help of the induction coil of 3, 4 and 6 turns placed along the inner perimeter of the closed-loop tube. It was found that the dependence of coil power losses, Pcoil, on the discharge plasma power, Ppl, had the minimum while Pcoil decreased with RF frequency,  tube diameter and coil number of turns. The modelling results were found in good qualitative agreement with the experimental data; quantitative discrepancies are believed to be due skin-effect and RF  electric field radial inhomogeneity that were not included in discharge modelling. 1. Pavel V. Starshinov, Oleg A. Popov, Igor V. Irkhin, Vladimir A. Levchenko, and Vasina Victoria N. Electrodeless UV Lamp on the Basis of Low-Pressure Mercury Discharge in a Closed Non-Ferrite Tube// Light & Engineering, 2019, Vol. 27, # 6, pp. 133–136.
2. Starshinov, P.V., Popov O.A., Irkhin, I.V., Vasina, V.N., Levchenko, V.A. Electric and Radiation Characteristics of Ferrite-free Electrodeless Inductively-coupled UV Lamps in Closed-loop Tubes [Elektricheskie i izluchatelnyiye kharakteristiki induktivnykh besferritnykh rtutnykh UF lamp v zamknutykh trubkakh] // Bulletin of MEI, 2019, #. 3, pp. 87–97.
3. Vladimir A. Levchenko, Oleg A. Popov, Sergei A. Svitnev, and Starshinov Pavel V. Electric and Radiation Characteristics of a Transformer Type Lamp with a Discharge Tube of 16.6 mm Diameter// Light & Engineering, 2016, Vol. 24, #2, pp. 77–81.
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6. Popov, O.A., Chandler, R.T. Ferrite-free High Power Electrodeless Fluorescent Lamp Operated at a Frequency of 160–1000 kHz // Plasma Sources Science and Technology, 2002, # 11, pp. 218–227.
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8. Popov, O.A., Starshinov, P.V., Vasina, V.N. Study of Characteristics of Electrodeless Ferrite-free Low Pressure Mercury Discharge in a Closed-loop Tube [Issledovanie kharakteristik induktsionnogo besferritnogo rtutnogo razryada nizkogo davleniya v zamknutoi trubket] // Bulletin of MEI, 2018, Vol. 4, pp. 89–96.
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10. Svitnev, S.A., Popov, O.A., Levchenko, V.A., Starshinov, P.V. Characteristics of Low-Pressure Ferrite-free Induction Discharge. Part 1. Electrical Parameters of Induction Coil [Kharakteristiki besferritnogo induktsionnogo razryada nizkogo davleniya. Chast 1. Elektricheskiye parametry katushki] // Uspekhi prikladnoi fiziki, 2016,  Vol. 2, pp. 139–149.
11. Nikiforova, V.A., Popov, O.A. Effect of RF Field  Frequency and Discharge Current on Radial Distribution  of Parameters of Plasma of Ferrite-free Inductively-coupled Discharge in Closed-loop Tube [Vliyanie chastoty VCh polya i razryadnogo toka na radialnoye raspredeleniye parameterov plazmy induktsionnogo besferritnogo razryada v zamknutoi trubke] // Bulletin of MEI, 2012, Vol. 1, pp. 108–114.

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• inductively-coupled discharge
• closed-loop tube
• low pressure mercury plasma
• induction coil power losses