This paper describes the evaluation of parameters of a three-phase induction motor with broken rotor bars. Using standard d-q model of induction motor the electric and magnetic asymmetry can be expressed through differently modified rotor parameters in both axes. A non-standard, one-phase measuring method was employed. To assess the measurement results of the method and to predict various situa...

We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2=p and 2=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.

This paper presents an analytical solution for the Maximum-Torque-per-Ampere (MTPA) operation of synchronous machines (SM) with anisotropy and magnetic cross-coupling for the application in wind turbine systems and airborne wind energy systems. For a given reference torque, the analytical MTPA solution provides the optimal stator current references which produce the desired torque while minimiz...

Let $E$ be an elliptic curve over $Bbb{Q}$ with the given Weierstrass equation $ y^2=x^3+ax+b$. If $D$ is a squarefree integer, then let $E^{(D)}$ denote the $D$-quadratic twist of $E$ that is given by $E^{(D)}: y^2=x^3+aD^2x+bD^3$. Let $E^{(D)}(Bbb{Q})$ be the group of $Bbb{Q}$-rational points of $E^{(D)}$. It is conjectured by J. Silverman that there are infinitely many primes $p$ for which $...

We provide formal matched asymptotic expansions for ancient convex solutions to MCF. The formal analysis leading to the solutions is analogous to that for the generic MCF neck pinch in [1]. For any p, q with p + q = n, p ≥ 1, q ≥ 2 we find a formal ancient solution which is a small perturbation of an ellipsoid. For t→ −∞ the solution becomes increasingly astigmatic: q of its major axes have len...

let $e$ be an elliptic curve over $bbb{q}$ with the given weierstrass equation $ y^2=x^3+ax+b$. if $d$ is a squarefree integer, then let $e^{(d)}$ denote the $d$-quadratic twist of $e$ that is given by $e^{(d)}: y^2=x^3+ad^2x+bd^3$. let $e^{(d)}(bbb{q})$ be the group of $bbb{q}$-rational points of $e^{(d)}$. it is conjectured by j. silverman that there are infinitely many primes $p$ for which $...

It is shown that, by optimizing the placement of a solute in a solvent droplet or in a periodic simulation cell, the number of solvent molecules can be reduced without affecting the quality of the simulation. Q 1997 by John Wiley & Sons, Inc. J Comput Chem 18: 812]815, 1997