We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2π/p and 2π/q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p, q ≥ 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space. Subject Classification: ...

The paper presents a surface mounted permanent magnet synchronous machine (SMPMSM) with distributed windings. The main focus of the paper is to provide a new calculation method of electric machine losses, including copper losses and iron losses at load. This method based on the separation of injected current in d-q axes and the developed iron loss models expressing the dependence between the fl...

where a(k) = 2(kc1), due to Yao [4]. A fast randomized algorithm for finding diameters in R3 appears in [2]. It may be of interest to find fast approximations to the diameter of P in arbitrary dimension. The notion of approximation in computational geometry is not new, e.g., see [l] for approximation of the convex hull of points. If R is the tightest rectangle with respect to the coordinate axe...

The operational characteristics during transients are significantly influenced by magnetic saturation in electrical equipment. For the computation of steady-state rated operation multiphase induction machines, assumption linear behavior iron core classical machine models may be sufficient. mathematical considered differ terms existence or absence dynamic cross-saturation effects. approach that ...

We investigate the implementation of field-weakening control for interior permanent magnet synchronous motor (IPMSM), and analyze the algorithm of field-weakening control in d-q axes. To deal with the problem that the dc-link voltage is not fully utilized when the voltage regulation is employed, we propose a new field-weakening scheme based on the space-vector modulation technique. The duty-tim...

The paper is concerned with designing an effective controller for a linear tubular homopolar (LT-H) motor type. construction and operation of the LT-H are first described in detail. Then, model represented direct-quadrature (d-q) axes order to facilitate design control loops. designed system consists two main loops: current loop velocity adaptation loop. determination regulator’s gains accompli...

Let G be a simple connected graph. The transmission of any vertex v of a graph G is defined as the sum of distances of a vertex v from all other vertices in a graph G. Then the distance signless Laplacian matrix of G is defined as D^{Q}(G)=D(G)+Tr(G), where D(G) denotes the distance matrix of graphs and Tr(G) is the diagonal matrix of vertex transmissions of G. For a given minimum dominating se...

The chords of a twisted cubic in PG(3, q) are mapped via their Plucker coordinates to the points of a Veronese surface lying on the Klein quadric in PG(5, q). This correspondence over a finite field gives a cap in PG(5, q), that is, a set of points no three of which are collinear. The dual structure, namely the axes of the osculating developable, is also mapped to a Veronese surface. The two su...