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A linearized mathematical model of a three-phase arc furnace circuit

Linearisiertes mathematisches Modell des Drehstrom-Lichtbogenofenkreises

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This paper deals with a general design of a linearized mathematical model of an arc furnace electric circuit. The linearized model of the asymmetrical circuit with linear loads is derived in matrix-vector notation. The model consists of sensivity function matrices of the circuit-phase currents versus arc voltages, supply voltages and equivalent phase inductances. An example of application of this model to the determination of the inductances of the circuit is given. Other possibilities of implementation of this model are discussed.

Übersicht

In dieser Arbeit wird die allgemeine Form eines linearisierten mathematischen Modells des elektrischen Kreises des Lichtbogenofens vorgestellt. Das linearisierte Modell des unsymmetrischen Kreises mit linearer Belastung wird durch Anwendung der Vektor-Matrixschreibweise erhalten. Das Modell umfaßt die Matrizen der Funktionen der Empfindlichkeiten der Ströme in jeden einzelnen Phasen betreffs der Lichtbogenspannungen, der Speisespannungen und der Phasenäquivalentsinduktivitäten. Es wird ein Beispiel der Anwendung dieses Modells für die Phaseninduktivitätenbestimmung angegeben. Es werden auch andere Anwendungsmöglichkeiten des erhaltenen Modells dargestellt.

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  1. Department of Automatic Control and Electrotechnics, Technical University of Kielce, Al. 1000-lecia PP 7, 25-314, Kielce, Poland

    M. Wciślik

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  1. M. Wciślik
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Wciślik, M. A linearized mathematical model of a three-phase arc furnace circuit. Archiv f. Elektrotechnik 68, 273–278 (1985). https://doi.org/10.1007/BF01845939

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  • DOI: https://doi.org/10.1007/BF01845939

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