Frédéric Messine
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View article: Numerical schemes for the solution of the telegrapher equation
Numerical schemes for the solution of the telegrapher equation Open
The present work deals with the numerical resolution of the telegrapher equation. We present various numerical explicit and implicit schemes for problems defined in one-dimensional domains. In this case, we consider, on one hand, Dirichlet…
View article: Numerical schemes for the solution of the damped wave equation
Numerical schemes for the solution of the damped wave equation Open
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View article: Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method
Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method Open
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View article: Hybridizing two linear relaxation techniques in interval-based solvers
Hybridizing two linear relaxation techniques in interval-based solvers Open
In deterministic global optimization, techniques for linear relaxation of a non-convex program are used in the lower bound calculation phase. To achieve this phase, most deterministic global optimization codes use reformulation-linearizati…
View article: Topology optimization for magnetic circuits with continuous adjoint method in 3D
Topology optimization for magnetic circuits with continuous adjoint method in 3D Open
Purpose The purpose of this paper is to present a new approach to optimizing the design of 3D magnetic circuits. This approach is based on topology optimization, where derivative calculations are performed using the continuous adjoint meth…
View article: Topological optimization in 3D-magnetostatics: development of adjoint methods using the equations of magnetic moments
Topological optimization in 3D-magnetostatics: development of adjoint methods using the equations of magnetic moments Open
Purpose The purpose of this paper is mainly to develop the adjoint method within the method of magnetic moment (MMM) and thus, to provide an efficient new way to solve topology optimization problems in magnetostatic to design 3D-magnetic c…
View article: Solid Isotropic Material with Penalization-Based Topology Optimization of Three-Dimensional Magnetic Circuits with Mechanical Constraints
Solid Isotropic Material with Penalization-Based Topology Optimization of Three-Dimensional Magnetic Circuits with Mechanical Constraints Open
Topology optimization is currently enjoying renewed interest thanks to the recent development of 3D printing techniques, which offer the possibility of producing these new complex designs. One of the difficulties encountered in manufacturi…
View article: Assessment of the Electromagnetic Behaviour of Servovalve Torque Motor Using Reluctance Network Models
Assessment of the Electromagnetic Behaviour of Servovalve Torque Motor Using Reluctance Network Models Open
The torque motor is the most common technology used in electrohydraulic two-stage servovalves to drive the hydraulic pilot stage. As it is a key component in these valves, its performance considerably affects the overall performance of ser…
View article: Three-Dimensional Analytical Model of Servovalve Torque Motor Using Reluctance Network
Three-Dimensional Analytical Model of Servovalve Torque Motor Using Reluctance Network Open
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View article: Topology Optimization of the Harmonic Content for Torque Ripple Minimization
Topology Optimization of the Harmonic Content for Torque Ripple Minimization Open
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View article: 3D Analytical Model of Servovalve Torque Motor Using Reluctance Network
3D Analytical Model of Servovalve Torque Motor Using Reluctance Network Open
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View article: A numerical proof by reliable Global Optimization for a problem of covering a rectangle with circles
A numerical proof by reliable Global Optimization for a problem of covering a rectangle with circles Open
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View article: A Deterministic Global Optimization Code with a 3D FEM Black-Box Constraint
A Deterministic Global Optimization Code with a 3D FEM Black-Box Constraint Open
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View article: On Monotonicity Detection in Simplicial Branch and Bound over a Simplex
On Monotonicity Detection in Simplicial Branch and Bound over a Simplex Open
The concept of exploiting proven monotonicity for dimension reduction and elimination of partition sets is well known in the field of Interval Arithmetic Branch and Bound (B &B). Part of the concepts can be applied in simplicial B &B over …
View article: Optimization, 3D-Numerical Validations and Preliminary Experimental Tests of a Wound Rotor Synchronous Machine
Optimization, 3D-Numerical Validations and Preliminary Experimental Tests of a Wound Rotor Synchronous Machine Open
In this paper, a complete methodology to design a modular brushless wound rotor synchronous machine is proposed. From a schedule of conditions and a chosen structure (with 7 phases, 7 slots and 6 poles), a non-linear and non-convex optimiz…
View article: On derivative based bounding for simplicial branch and bound
On derivative based bounding for simplicial branch and bound Open
Simplicial based Global Optimization branch and bound methods require tight bounds on the objective function value. Recently, a renewed interest appears on bound calculation based on Interval Arithmetic by Karhbet and Kearfott [ Reliable C…
View article: Extentions of Affine Arithmetic: Application to Unconstrained Global Optimization
Extentions of Affine Arithmetic: Application to Unconstrained Global Optimization Open
Global optimization methods in connection with interval arithmetic permit to determine an accurate enclosure of the global optimum, and of all the corresponding optimizers. One of the main features of these algorithms consists in the const…
View article: Design of slotless permanent magnet machines by a semi-infinite global optimization method
Design of slotless permanent magnet machines by a semi-infinite global optimization method Open
An efficient way to design slotless permanent magnet machines is to associate analytical models with deterministic global optimization algorithms. In this paper, we propose to extend these design approaches in order to take into account the…
View article: Finite element analysis of a modular brushless wound rotor synchronous machine
Finite element analysis of a modular brushless wound rotor synchronous machine Open
This study presents a comparative study of different modular brushless wound rotor synchronous machines (MB‐WRSM) using non‐overlapping fractional slot double‐layer concentrated windings. The goal of the study is to highlight the structure…
View article: Reliable bounds for convex relaxation in interval global optimization codes
Reliable bounds for convex relaxation in interval global optimization codes Open
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View article: Covering a square with six circles by deterministic global optimization
Covering a square with six circles by deterministic global optimization Open
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View article: Application Optimal Control for a Problem Aircraft Flight
Application Optimal Control for a Problem Aircraft Flight Open
Our aim is to solve a problem of optimal control with free final time using the Pontryagin's maximum principle. As an illustration, we consider a navigation problem which is solved analytically and numerically by the shooting method in the…
View article: Hybrid Modeling Method of Magnetic Field of Axial Flux Permanent Magnet Machine
Hybrid Modeling Method of Magnetic Field of Axial Flux Permanent Magnet Machine Open
A hybrid analytical-numerical method to predict the no-load magnetic flux density in an axial flux permanent magnet (AFPM) machine is presented in this paper. It involves the method of separation of variables. This leads to express the mag…