Discrepancies of the expanded park equations and parameter identification with evolution strategy

• Autorzy: Schmuelling Ch. , Kreischer Ch. , Gołȩbiowski M.
• Języki publikacji: EN

Abstrakty

EN

The Park equations are a well known analytic model for describing synchronous machines. Over the years they were consistently extended, like the additional Canay leakage inductance in the rotor circuit. Although, there are newer and more accurate analytic models, the Park equations are still applied by all manufacturers and grid operators. The expanded Park theory [1] derives these equations from the phase-domain model. In this paper at hand, it is shown that this derivation is based on false assumptions for calculating the inductances. Therefore the transformation of the phase-domain parameter does not lead to a decoupled system as it should in the expanded Park theory. It is shown that the new system is more complex and the parameter of this system could not be derived from the phase-domain model. Two different synchronous machines, one with a salient pole rotor and one with a round rotor, are modeled by a finite-element-method (FEM) software and all stator self and mutual inductances are calculated. The model of the round rotor machine is verified by measurements. Due to common application of the Park equations a new method to determine the parameter is also presented. The results of a three-phase sudden short circuit are used in combination with the evolutionary algorithm to derive the Park parameters. All optimized parameters are totally detached from the physics. The found parameters are verified by measurements of other transients, like the twophase short circuit.

Słowa kluczowe

EN

electrical machines; Park; parameter identification; evolution strategy

• Wydawca: Sieć Badawcza Łukasiewicz - Górnośląski Instytut Technologiczny
• Czasopismo: Maszyny Elektryczne : zeszyty problemowe
• Rocznik: 2015
• Tom: Nr 3 (107)
• Strony: 81--87
• Opis fizyczny: Bibliogr. 11, rys., tab.

Twórcy

autor

Schmuelling Ch.

• Chair of Energy Conversion, TU Dortmund University

autor

Kreischer Ch.

• Chair of Energy Conversion, TU Dortmund University

autor

Gołȩbiowski M.

• Faculty of Electrical and Computer Engineering, Rzeszow University of Technology

Bibliografia

• [1] A. Puchała, „Dynamika maszyn i układów elektromechanicznych”, Wydawn. Naukowe, 1977.
• [2] R. Park, „Two-reaction theory of synchronous machines generalized method of analysis-part i,” American Institute of Electrical Engineers, Transactions of the, vol. 48, no. 3, pp. 716–727, July 1929.
• [3] P. C. Krause, „Analysis of Electric Machinery”, McGraw-Hill Book Company, 1987.
• [4] D. White and H. Woodson, „Electromechanical Energy Conversion, [The M.I.T. core curriculum program in electrical engineering]”, John Wiley &Sons, 1959.
• [5] A. Conradi, C. Schmuelling, and S. Schmuelling, „Investigation on the effects of magnetic saturation in induction machines during transients”, GSTF Journal of Engineering Technology (JET), vol. 2, no. 3, 2014.
• [6] “IEEE Guide: Test Procedures for Synchronous Machines Part I – Acceptance and Performance Testing Part II-Test Procedures and Parameter Determination for Dynamic Analysis,” IEEE Std 115, pp. 1–0, May 2010.
• [7] D. Quagliarella, „Genetic algorithms and evolution strategy in engineering and computer science: recent advances and industrial applications”, John Wiley & Sons, 1998.
• [8] H. Beyer, „The Theory of Evolution Strategies”, Natural Computing Series. Springer, 2001.
• [9] I. Rechenberg, „Evolutionsstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution”, Frommann-Holzboog, 1973
• [10] H. Pohlheim, „Evolutionäre Algorithmen: Verfahren, Operatoren und Hinweise für die Praxis”, ser. VDI-Buch. Springer Berlin Heidelberg, 1999.
• [11] M. Canay, „Ersatzschemata der Synchronmaschine sowie Vorausberechnung der Kenngrössen mit Beispielen”, Publication: Chaire de machines électriques, Institut d’électrotechnique, Ecole polytechnique de l’Université de Lausanne. Juris-Verlag, 1968.