- Tytuł:
-
Odwzorowanie rozkładu uzwojeń przetworników elektromechanicznych w przestrzeni elementów skończonych
Description of winding in the 3D finite element analysis of electromechanical converters - Autorzy:
- Demenko, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/159246.pdf
- Data publikacji:
- 2003
- Wydawca:
- Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki
- Tematy:
-
maszyny elektryczne
uzwojenia
pole magnetyczne
metoda elementów skończonych - Opis:
-
W pracy przedstawiono numeryczne formy opisu rozmieszczenia uzwojeń w przetwornikach elektromechanicznych, dostosowane do analizy pola magnetycznego metodą elementów skończonych. Rozpatrzono układy o uzwojeniach wykonanych z cienkich przewodów. Omówiono algorytm wyznaczania macierzy przejścia od wektora prądów w uzwojeniach do wektora źródeł dla ujęć wykorzystujących potencjał skalamy i ujęć wykorzystujących potencjał wektorowy. Pokazano, że macierze te można także wykorzystywać do wyznaczania strumieni skojarzonych z uzwojeniami. Opisano metodę formułowania wymuszeń na podstawie wartości krawędziowych potencjału wektorowego dla pola przepływowego prądu. Po zastosowaniu tej metody pole można opisać za pomocą jednego globalnego potencjału skalarnego.
The FE methods of 3D magnetic field calculation in electromechanical energy converters are discussed. The nodal element method using scalar magnetic potential A and the edge element method using magnetic vector potential A are considered. The equations that describe the edge values of A and nodal values of omega have been written in the matrix forms (1), (4). The systems with stranded conductors are analyzed. Special attention is paid to the calculation of matrices that describe winding distribution in the edge element space - matrix k (f) in (2) - and in the facet element space - matrix k(m) in (5). These matrices transform winding currents into magnetic field sources and are used in the calculations of flux linkages psi with windings. In the presented methods the circuits with windings are represented by loops with loop currents i(ci). Figure 1 shows a system composed of 2 loops. The loops are represented by closed oriented curves L(i) in 3D. Thus, the winding distribution can be defined by the parametric equations of oriented curves, r = r(i)(t). For a real winding these equations have a very complicated form. Therefore, the author of this paper suggests each curve L(i) be replaced by a set of m(i) closed plane curves L(i,j)) (j = 1,2,...m(i)), e.g. by triangles or parallelograms - see Figs 2, 3, 4. In order to find the flux linkage with the loop we also define the oriented surfaces S(i,j) of boundary L(i,j) . As a result the winding has been defined by a set of closed oriented plane curves r = r(i,j)(t) and by plane oriented open surfaces S(i,j) . The points of intersection of the element facets with curves r = r(i,j)(t) are determined in order to find the matrix k(f) that describe the winding in the facet element space (Fig. 3). The matrix k(m) that describes the winding in the edge element space is calculated on the basis of the intersection points of element edges with loop surfaces S(i,j) (Fig. 4). The matrix k(m) is not unique (the set of surfaces S(i,j) with the total boundary L(i) is not unique), e.g. the single tum may be represented by surface as in Fig.5a or by the set of surfaces as in Fig.5b. However, the results of flux density calculation are independent of the choice of S(i,j) . The proposed method of matrix independent of the choice of S(i,j). The proposed method of matrix k(m) calculation can be applied in the analysis of magnetic field using single scalar potential. The method is not so complicated as the methods presented in [6, 7]. The proposed methods have been successfully applied for the calculations of the winding inductances [5]. The methods have also been used in the 3D field-circuit analysis of permanent magnet motor drive [3]. - Źródło:
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Prace Instytutu Elektrotechniki; 2003, 216; 41-52
0032-6216 - Pojawia się w:
- Prace Instytutu Elektrotechniki
- Dostawca treści:
- Biblioteka Nauki
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