Abstract:
In this work, the principal algebraic, arithmetic and geometric properties of the Ck Spline functions are presented. In this way Ck spline functions can be defined as the...Show MoreMetadata
Abstract:
In this work, the principal algebraic, arithmetic and geometric properties of the Ck Spline functions are presented. In this way Ck spline functions can be defined as the interpolating functions of the set of the all Taylor-Maclaurin expansion up to degree k defined at each point of discretization of the considered studying function. The case study in this article concerns a loading characteristics of three phase Axial Flux Permanent Magnet Synchronous Machine (AFPMSM) with broad air-gap. It shows that this characteristic leads to algebraic differential equations (ADE), which we know recently, the properties and integrated numerical means. These equations are governed by a multidistributed value problem (MDVP) which makes this problem a difficult numerical one, non accessible by traditional solvers. This article shows thanks to the properties of Ck spline functions that we can integrated such problems by judicious choices of the initial vectors and simulated annealing methods. The first results of simulations will be given. Then traditional differential and integral calculus lead in the Ckspline functional spaces to new functional and invariant calculus.
Published in: 2009 European Control Conference (ECC)
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3