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Arc models for simulating processes in circuits with a SF6 circuit breaker

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Języki publikacji
EN
Abstrakty
EN
This paper demonstrates that if a linear dependence of arc dissipated power on power supplied is introduced at an initial stage of analysis, then, with some simplifying assumptions, the classical Mayr model is obtained. Similarly, if this dependence is taken into account in a model with residual conductance, the modified Mayr model is obtained. The study takes into consideration the local phenomenon of sudden voltage drop accompanying linear current decrease occurring in the circuit breaker. To account for this phenomenon, the Dirac delta function and its approximation by a Gaussian function, representing power or enthalpy disturbances, are introduced to the power balance equation. It is demonstrated that both variants yield the same effect, leading to identical differential equations. Macromodels of the circuit-breaker arc are created and connected with the power source circuit with lin- early decreasing current. The results obtained were found to be consistent with experimental data available in the literature. The models presented are based on a fairly uncomplicated 1st order differential equation and offer a straightforward physical interpretation of the phenomena in question.
Rocznik
Strony
147--159
Opis fizyczny
Bibliogr. 17 poz., rys., wz.
Twórcy
  • Czestochowa University of Technology, Faculty of Electrical Engineering Al. Armii Krajowej 17, 42-200 Czestochowa, Poland
Bibliografia
  • [1] Khakpour A., Franke S., Uhrlandt D., Gorchakov S., Methling R-P., Electrical Arc Model Based on Physical Parameters and Power Calculation, IEEE Transactions On Plasma Science, vol. 43, no. 8, pp. 2721–2729 August (2015).
  • [2] Sawicki A., Haltof M., Nonlinear mathematical models of the electric arc (in Polish), Electrical Review, vol. 92, no. 11, pp. 257–261 (2016), DOI: 10.15199/48.2016.11.62.
  • [3] Sawicki A., Modified Habedank and TWV hybrid models of the arc with variable length for simulating processes in electrical devices, Biuletyn Instytutu Spawalnictwa w Gliwicach, vol. 56, no 1, pp. 15–22 (2012).
  • [4] Tseng K.-J., Wang Y., Vilathgamuwa D.M., An experimentally verified hybrid Cassie–Mayr electric arc model for power electronics simulations, IEEE Trans. Power Electron., vol. 12, no. 3, pp. 429–436 May (1997).
  • [5] Schavemaker P.H., van der Sluis L., An improved Mayr-type arc model based on current-zero measurements, IEEE Trans. Power Del., vol. 15, no. 2, pp. 580–584 April (2000).
  • [6] Maximov S., Venegas V., Guardado J.L., Melgoza E., A Method for Obtaining the Electric Arc Model Parameters for SF6 Power Circuit Breakers, Proceedings of the 9th WSEAS/IASME International Conference on Electric Power Systems, High Voltages, Electric Machines, pp. 133􀀀139 (2009).
  • [7] Maximov S., Venegas V., Guardado J.L., Melgoza E., Torres D., Asymptotic methods for calculating electric arc model parameters, Electrical Engineering, vol. 94, no. 2, pp. 89–96 (2012).
  • [8] Tuma D.T., A Comparison of the Behavior of SF6 and N2 Blast Arcs Around Current Zero, IEEE Transactions on Power Apparatus and Systems, vol. PAS-99, no. 6, pp. 2129–2137 (1980).
  • [9] Serbetci I., Nagamatsu H.T., Investigation of Ramped Air Arcs Near Current Zero In Dual-Flow Nozzle System, IEEE Transactions on Power Delivery, vol. 5, no. 1, pp. 170–176 (1990).
  • [10] Browne T.E., Practical Modeling of the Circuit Breaker Arc as a Short Line Fault Interrupter, IEEE Transactions on Power Apparatus and Systems, vol. PAS-97, no. 3, pp. 838–847 (1978).
  • [11] Bizjak G., Zunko P., Povh D., Circuit Breaker Model For Digital Simulation Based On Mayr’s And Cassie’s Differential Arc Equations, IEEE Transactions on Power Delivery, vol. 10, no. 3, pp. 1310–1315 (1995).
  • [12] van der Sluis L., Rutgers W.R., The Comparison of Test Circuits with Arc Models, IEEE Transactions on Power Delivery, vol. 10, no. 1, pp. 280–285 (1995).
  • [13] Bergmann V., Grams B., RotherW., The Mathematical Modelling of the Switching Arc, Contributions to Plasma Physics, vol. 25, no. 5, pp. 513–521 (1985).
  • [14] Krouchinin A.M., Sawicki A., A Theory of Electrical Arc Heating, Publishing Office of TUCz (2003).
  • [15] Sawicki A., Modified integral method for determining parameters of Mayr model and generalized Mayr model of electrical arc powered by electrical energy source generating sinusoidal stimulation, Electrical Review (in Polish), vol. 93, no. 9, pp. 58–63 (2017), DOI: 10.15199/48.2017.09.11.
  • [16] W˛asowicz S., Modified Mayr Model with Step Change in Electric Arc Voltage, unpublished work (in Polish), Cz˛estochowa (2017).
  • [17] Sawicki A., Modified arc models in a SF6 power circuit breaker, Electrical Review, vol. 94, no. 04, pp. 91–94 (2018), DOI: 10.15199/48.2018.04.23.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-5f86b5db-7d17-4a25-9846-d6823b4d086d
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