A Modified Mayr-Pentegov Model of the Electric Arc with Dynamically Variable Parameters
Main Article Content
Abstract
The need to develop the theory of electric arc modelling with dynamically variable parameters is demonstrated. The Mayr-Pentegov model modification allowed mapping the effect of changes in static and dynamic parameters of the plasma column on the voltage-current characteristics of the arc. As examples, two variants of static voltage-current characteristics with an unspecified and determined ignition voltage value are considered. In simulations of electrical processes in an AC circuit with the modified electric arc model, slow and fast changes in the column length were used. The effect of these changes on the static characteristics parameters was approximated by power functions. The calculations resulted in obtaining dynamic voltage-current characteristics with correct shapes over a wide range of current changes.
Article Details
References
Mayr O., Uber die theorie der lichtbogen und seiner loschung [Theory of the Arc and its Quenching], Elektrotechnische Zeitschrift, Vol. 64, 1943, pp. 645–652.
Пентегов И.В., Математическая модель столба динамической электрической дуги, Автоматическая сварка 1976, No. 6 (279), pp. 8–12 [Pentegov I.V, A Mathematical Model of a Column of a Dynamic Electric Arc., Automatic welding, No. 6 (279), 1976, pp. 8–12].
Sawicki A., The Universal Mayr-Pentegov Model of the Electric Arc, Przegląd Elektrotechniczny [Electrical Review], Vol. 94, No. 12, 2019, pp. 208–211 (DOI:10.15199/48.2019.12.47).
Sawicki A., Model Mayra-Pentegowa łuku elektrycznego z wybranymi charakterystykami napięciowo-prądowymi statycznymi [MayrPentegov Model of the Electric Arc with Selected Static VoltageCurrent Characteristics], Biuletyn Instytutu Spawalnictwa, No. 3, 2020, pp. 44–50.
Sawicki A., Modelowanie wpływu zaburzeń zewnętrznych charakterystyk statycznych o nieokreślonym i określonym napięciu zapłonu na charakterystyki dynamiczne łuku w obwodzie ze źródłem prądu [Modelling the Effect of External Disturbances in Static Characteristics of Unspecified and Determined Ignition Voltages on Dynamic Characteristics of Arc in a Circuit with the Current Source]. Cz. 1. Podstawowe zależności analityczne [Part 1. Primary Analytical Correlations], Biuletyn Instytutu Spawalnictwa, No. 2, 2019, pp. 46–51 (DOI: 10.17729/ebis.2019.2/6)].
Sawicki A., Modelowanie wpływu zaburzeń zewnętrznych charakterystyk statycznych o nieokreślonym i określonym napięciu zapłonu na charakterystyki dynamiczne łuku w obwodzie ze źródłem prądu [Modelling the Effect of External Disturbances in Static Characteristics of Unspecified and Determined Ignition Voltages on Dynamic Characteristics of Arc in a Circuit with the Current Source]. Cz. 2. Wyniki badań symulacyjnych [Simulation Test Results], Biuletyn Instytutu Spawalnictwa, No. 3, 2019, pp. 38–40, 2 (DOI: 10.17729/ebis.2019.3/8)].
Воронин А.А., Повышение эффективности контактнодугогасительных систем сильноточных коммутационных аппаратов с удлиняющейся дугой, Автореф. дис. к.т.н., Самара 2009 [Voronin A.A., Improving the efficiency of contact-extinguishing systems of high-current switching devices with an extending arc, Abstract of thesis, Samara 2009].
Sawicki A., Improvements of Hybrid Models of the Electric Arc of Variable Geometrical Parameters, 2018 Conference on Electrotechnology: Processes, Models, Control and Computer Science (EPMCCS), IEEE Xplore Digital Library (DOI: 10.1109/EPMCCS.2018.8596459).
Sawicki A., Modele matematyczne różniczkowe i całkowe w makromodelowaniu łuku elektrycznego z wykorzystaniem źródeł sterowanych napięciowych i prądowych [Mathematical Differential and Integral Models in Macromodelling of the Electric Arc Using Controlled Voltage and Current Sources. Cz. 2. Wybrane modele matematyczne łuku z jawnie zdefiniowanymi charakterystykami napięciowo-prądowymi statycznymi [Part 2. Selected Mathematical Models of the Arc with Explicitly Defined Static Voltage-Current Characteristics] Biuletyn Instytutu Spawalnictwa, No. 1, 2020, pp. 21–25.
Пентегов И.В., Сидорец В.Н., Сравнительный анализ моделей динамической сварочной дуги, Автомат. Сварка, 1989, No. 2 (431), pp. 33–36 [Pentegov I.V. and Sydorets V.N.: Comparative Analysis of Models of the Dynamic Welding Arc, The Paton Welding Journal, No. 12, 2015, pp. 45–48 (in Russian)].
Janowski T., Jaroszyński L., Stryczewska H.D., Modification of the Mayr’s electric arc model for gliding arc analysis, XXVI International Conference on Phenomena in Ionized Gases, Nagoya, Japan 2001/7/17, pp. 341–342.
Jaroszyński L., Stryczewska H.D., Computer simulation of the electric discharge in glidarc plasma reactor, Conference: 3rd International Conference: Electromagnetic devices and processes in environment protection, ELMECO-3, June 2000.
Marciniak L., Implementacje modeli łuku ziemnozwarciowego w programach PSCAD i Matlab/Simulink [Implementation of the Earth Fault Arc Models in PSCAD and Matlab / Simulink], Przegląd Elektrotechniczny], No. 9a, 2012, pp. 126–129.
Marciniak L., Model of the Arc Earth-Fault for Medium Voltage Networks, Central European Journal of Engineering, No. 2, 2011, pp. 168–173.
Marciniak L., Modele dynamiczne łuku zwarciowego dla sieci z małym prądem zwarcia doziemnego [Dynamic Models of the ShortCircuit Arc for Grids with a Small Earth Fault Current], Archives of Energetics, XXXVII, 2007, pp. 357–367.
Sawicki A., Haltof. M., Modelowanie wpływu zaburzeń zewnętrznych na charakterystyki dynamiczne łuku elektrycznego [Modelling the Effect of External Disturbances on Dynamic Characteristics of the Electric Arc], Przegląd Elektrotechniczny, Vol. 92, No. 12, 2016, pp. 161–164 (DOI:10.15199/48.2016.12.41).
Верещаго Е.Н., Костюченко В.И., Имитационная модель электрической дуги, Электротехника 2014, No. 6, pp. 36–42 [Vereshchago E.N., Kostyuchenko V.I.: Simulation Model of the Electric Arc, Russian Electrical Engineering, Vol. 85, No. 6, 2014, pp. 376–381 (in Russian)] (DOI: 10.3103/S106837121406011X).
Пентегов И.В., Сидорец В.Н., Вопросы моделирования динамики сварочной дуги как элемента электрической цепи, Автомат. Сварка, No. 10 (379), 1984, pp. 18–22 [Pentegov I.V. and Sydorets V.N., Questions of modelling the dynamics of the welding arc as an element of the electrical circuit, The Paton Welding Journal, No. 12, 2015, pp. 18–22 (in Russian)].