A new method for inverse electromagnetic casting problems based on the topological derivative

نویسندگان

  • Alfredo Canelas
  • Antonio A. Novotny
  • Jean R. Roche
چکیده

The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an alternating current passing through them, makes a given mass of liquid metal acquire a predefined shape. In this paper we propose a method for the topology design of such inductors. The inverse electromagnetic casting problem is formulated as an optimization problem, and topological derivatives are considered in order to locate new wires in the right position. Several numerical examples are presented showing that the proposed technique is effective to design suitable inductors.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Level Set Solution of an Inverse Electromagnetic Casting Problem Using Topological Analysis

In this communications we present an algorithm to solve an inverse electromagnetic casting problem. We look for a suitable set of electric wires such that the electromagnetic field induced by an alternating current passing through them makes a given mass of liquid metal acquire a predefined shape. The inverse electromagnetic casting problem is formulated as an optimization problem using a shape...

متن کامل

New operational matrix for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative

In this paper, we apply spectral method based on the Bernstein polynomials for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative. In the first step, we introduce the dual basis and operational matrix of product based on the Bernstein basis. Then, we get the Bernstein operational matrix for the Jumarie’s modified Riemann-Liouville fractio...

متن کامل

A Chebyshev functions method for solving linear and nonlinear fractional differential equations based on Hilfer fractional derivative

The theory of derivatives and integrals of fractional in fractional calculus have found enormousapplications in mathematics, physics and engineering so for that reason we need an efficient and accurate computational method for the solution of fractional differential equations. This paper presents a numerical method for solving a class of linear and nonlinear multi-order fractional differential ...

متن کامل

A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

متن کامل

FORMATION OF GLOBULAR STRUCTURES IN ALUMINUM A356 ALLOY BY NARROWMELT STREAM (NMS) TECHNIQUE

Abstract: structures in alloys. This method is based on pouring the melt through a small sized nozzle into a mould located at acertain height under the crucible. This simple method generates globular structures without using equipments such asimpellers, electromagnetic stirrers, ultrasonic probes and cooling slopes. Therefore it is cost effective. In the presentstudy, the effect of casting size...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • J. Comput. Physics

دوره 230  شماره 

صفحات  -

تاریخ انتشار 2011