Development of a topology-based current-flux characteristic approximation in a Hamiltonian model of a reluctance machine

• Autorzy: Burlikowski W. , Kowalik Z.

Identyfikatory

DOI

10.1515/aee-2015-0023

• Języki publikacji: EN

Abstrakty

EN

The paper presents an algorithm for the construction of an approximation of a highly nonlinear current-flux characteristic of a synchronous reluctance machine. Such an approximation is required in a Hamiltonian model of an electric machine and the constructed approximation is suited to be used in such a model. It employs a simplicial approximation based on irregular points sets in the spaces of currents and fluxes. The sets are constructed by the iterative insertion of new points. Initially the sets contain an arbitrarily small number of elements. The insertion is based on an approximation error calculation. Based on the sets containing possibly small number of elements, the proposed procedure leads to smooth and precise approximation. Due to the nonlinearity of the approximated characteristics, ambiguities can occur. A method for the triangulation refinement of the sets of currents and fluxes that eliminates them is also presented. In the paper, a reluctance machine model using the constructed approximation is described and compared with a model using the approximation based on regular sets.

Słowa kluczowe

EN

Hamiltonian model; simplicial approximation; reluctance machine; triangulation refinement

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2015
• Tom: Vol. 64, nr 2
• Strony: 277--289
• Opis fizyczny: Bibliogr. 8 poz., wykr., wz.

Twórcy

autor

Burlikowski W.

• Silesian University of Technology Faculty of Electrical Engineering Department of Mechatronics ul. Akademicka 10a, 44-100, Gliwice, Poland

autor

Kowalik Z.

• Silesian University of Technology Faculty of Electrical Engineering Department of Mechatronics ul. Akademicka 10a, 44-100, Gliwice, Poland

Bibliografia

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• [5] Groff R.E., Piecewise Linear Homeomorphism for Approximation of Invertible Maps. PhD Thesis, The University of Michigan (2003).
• [6] Marčič T., Stumberger G., Stumberger B., Analyzing the Magnetic Flux Linkage Characteristics of Alternating Current Rotating Machines by Experimental Method. IEEE Transactions on Magnetics 47(9): 2283-2291 (2011).
• [7] Scheuermann G., Hagen H, A Data Dependent Triangulation for Vector Fields. Computer Graphics International, pp. 96-102 (1998).
• [8] Stumberger G., Stumberger B., Dolinar D., Tezak O., Hameyer K., Nonlinear model of linear synchronous reluctance motor for real time applications. COMPEL 23(1): 316-327 (2002).