scholarly journals n-level output space mapping for electromagnetic design optimization

2014 ◽  
Vol 33 (3) ◽  
pp. 868-878
Author(s):  
Ramzi Ben Ayed ◽  
Stéphane Brisset
Keyword(s):  
Optimization Problem ◽  
Magnetic Energy ◽  
Computing Time ◽  
Computation Time ◽  
Space Mapping ◽  
Time Model ◽  
Electromagnetic Design ◽  
Content Type ◽  
Magnetic Energy Storage ◽  
Output Space

Purpose – The aim of this paper is to reduce the evaluations number of the fine model within the output space mapping (OSM) technique in order to reduce their computing time. Design/methodology/approach – In this paper, n-level OSM is proposed and expected to be even faster than the conventional OSM. The proposed algorithm takes advantages of the availability of n models of the device to optimize, each of them representing an optimal trade-off between the model error and its computation time. Models with intermediate characteristics between the coarse and fine models are inserted within the proposed algorithm to reduce the number of evaluations of the consuming time model and then the computing time. The advantages of the algorithm are highlighted on the optimization problem of superconducting magnetic energy storage (SMES). Findings – A major computing time gain equals to three is achieved using the n-level OSM algorithm instead of the conventional OSM technique on the optimization problem of SMES. Originality/value – The originality of this paper is to investigate several models with different granularities within OSM algorithm in order to reduce its computing time without decreasing the performance of the conventional strategy.

Radial output space mapping for electromechanical systems design

2014 ◽  
Vol 33 (3) ◽  
pp. 965-975 ◽  
Author(s):  
Maya Hage Hassan ◽  
Ghislain Remy ◽  
Guillaume Krebs ◽  
Claude Marchand
Keyword(s):  
Traditional Approach ◽  
Systems Design ◽  
Residue Function ◽  
Space Mapping ◽  
Physical Models ◽  
Electrical Machine ◽  
Content Type ◽  
Coarse Model ◽  
Optimum Solution ◽  
Output Space

Purpose – The purpose of this paper is to set a relation through adaptive multi-level optimization between two physical models with different accuracies; a fast coarse model and a fine time consuming model. The use case is the optimization of a permanent magnet axial flux electrical machine. Design/methodology/approach – The paper opted to set the relation between the two models through radial basis function (RBF). The optimization is held on the coarse model. The deduced solutions are used to evaluate the fine model. Thus, through an iterative process a residue RBF between models responses is built to endorse an adaptive correction. Findings – The paper shows how the use of a residue function permits, to diminish optimization time, to reduce the misalignment between the two models in a structured strategy and to find optimum solution of the fine model based on the optimization of the coarse one. The paper also provides comparison between the proposed methodology and the traditional approach (output space mapping (OSM)) and shows that in case of large misalignment between models the OSM fails. Originality/value – This paper proposes an original methodology in electromechanical design based on building a surrogate model by means of RBF on the bulk of existing physical model.

scholarly journals Multi-layered optimal navigation system for quadrotor UAV

2019 ◽  
Vol 92 (2) ◽  
pp. 145-155
Author(s):  
Kheireddine Choutri ◽  
Mohand Lagha ◽  
Laurent Dala
Keyword(s):  
Navigation System ◽  
Trajectory Generation ◽  
Computation Time ◽  
Control Architecture ◽  
Layered System ◽  
Computationally Efficient ◽  
Content Type ◽  
Quadrotor Uav ◽  
Multi Objective Genetic Algorithm ◽  
Output Space

Purpose This paper aims to propose a new multi-layered optimal navigation system that jointly optimizes the energy consumption, improves the robustness and raises the performance of a quadrotor unmanned aerial vehicle (UAV). Design/methodology/approach The proposed system is designed as a multi-layered system. First, the control architecture layer links the input and the output spaces via quaternion-based differential flatness equations. Then, the trajectory generation layer determines the optimal reference path and avoids obstacles to secure the UAV from collisions. Finally, the control layer allows the quadrotor to track the generated path and guarantees the stability using a double loop non-linear optimal backstepping controller (OBS). Findings All the obtained results are confirmed using several scenarios in different situations to prove the accuracy, energy optimization and the robustness of the designed system. Practical implications The proposed controllers are easily implementable on-board and are computationally efficient. Originality/value The originality of this research is the design of a multi-layered optimal navigation system for quadrotor UAV. The proposed control architecture presents a direct relation between the states and their derivatives, which then simplifies the trajectory generation problem. Furthermore, the derived differentially flat equations allow optimization to occur within the output space as opposed to the control space. This is beneficial because constraints such as obstacle avoidance occur in the output space; hence, the computation time for constraint handling is reduced. For the OBS, the novelty is that all controller parameters are derived using the multi-objective genetic algorithm (MO-GA) that optimizes all the quadrotor state’s cost functions jointly.

Fast Optimization of a Linear Induction Motor by 3-Level Space Mapping Technique

2013 ◽  
Vol 416-417 ◽  
pp. 195-202
Author(s):  
Jin Lin Gong ◽  
Frédéric Gillon ◽  
Pascal Brochet
Keyword(s):  
Computation Time ◽  
Kriging Model ◽  
Space Mapping ◽  
Mapping Technique ◽  
3D Fem ◽  
Linear Induction Motor ◽  
Electric And Magnetic Fields ◽  
Minimum Number ◽  
Mapping Techniques ◽  
Output Space

For the design and analysis of a linear electrical motor, an analytical solution of electric and magnetic fields is barely achieved with the required accuracy, due to the end and edge effects, and the nonlinear characteristic of the materials. Optimal design with the finite element models (FEM) is often expensive, in terms of the computation time. The space-mapping techniques allow having an affordable computation cost with a minimum number of computationally expensive FEM evaluations. In this paper, based on a kriging model, a 2D FEM and a 3D FEM, a 3-level adapted output space-mapping technique is employed. The results show that the proposed algorithm allows saving a substantial amount of computation time compared to conventional 2-level output space-mapping technique.

Three-Level Output Space Mapping Strategy for Electromagnetic Design Optimization

2012 ◽  
Vol 48 (2) ◽  
pp. 671-674 ◽  
Author(s):  
R. Ben Ayed ◽  
J. Gong ◽  
S. Brisset ◽  
F. Gillon ◽  
P. Brochet
Keyword(s):  
Design Optimization ◽  
Space Mapping ◽  
Electromagnetic Design ◽  
Mapping Strategy ◽  
Output Space

scholarly journals Comparative study of methods for optimization of electromagnetic devices with uncertainty

2018 ◽  
Vol 37 (2) ◽  
pp. 704-717 ◽  
Author(s):  
Siyang Deng ◽  
Stéphane Brisset ◽  
Stephane Clénet
Keyword(s):  
Optimization Problem ◽  
Performance Measure ◽  
Multidisciplinary Optimization ◽  
Sequential Optimization ◽  
Design Problems ◽  
Electromagnetic Design ◽  
Content Type ◽  
Reliability Based Design ◽  
Electromagnetic Devices ◽  
Moment Approach

PurposeThis paper compares six reliability-based design optimization (RBDO) approaches dealing with uncertainties for a simple mathematical model and a multidisciplinary optimization problem of a safety transformer to highlight the most effective. Design/methodology/approachThe RBDO and various approaches to calculate the probability of failure are is presented. They are compared in terms of precision and number of evaluations on mathematical and electromagnetic design problems. FindingsThe mathematical example shows that the six RBDO approaches have almost the same results except the approximate moment approach that is less accurate. The optimization of the safety transformer highlights that not all the methods can converge to the global solution. Performance measure approach, single-loop approach and sequential optimization and reliability assessment (SORA) method appear to be more stable. Considering both numerical examples, SORA is the most effective method among all RBDO approaches. Originality/valueThe comparison of six RBDO methods on the optimization problem of a safety transformer is achieved for the first time. The comparison in terms of precision and number of evaluations highlights the most effective ones.

Waveform relaxation–Newton method to determine steady state of an electromagnetic structure

2017 ◽  
Vol 36 (3) ◽  
pp. 729-740 ◽  
Author(s):  
Guillaume Caron ◽  
Thomas Henneron ◽  
Francis Piriou ◽  
Jean-Claude Mipo
Keyword(s):  
Steady State ◽  
Newton Method ◽  
Computing Time ◽  
Computation Time ◽  
Transient State ◽  
Electric Circuit ◽  
Waveform Relaxation ◽  
Content Type ◽  
Electromagnetic Structure ◽  
Time Stepping

Purpose The purpose of this study is to determine the steady state of an electromagnetic structure using the finite element method (FEM) without calculation of the transient state. The proposed method permits to reduce the computation time if the transient state is important. Design/methodology/approach In the case of coupling magnetic and electric circuit equations to obtain the steady state with periodic conditions, an approach can be to discretise the time with periodic conditions and to solve the equation system. Unfortunately, the computation time can be prohibitive. In this paper, the authors proposed to use the waveform relaxation method associated with the Newton method to accelerate the convergence. Findings The obtained results show that the proposed approach is efficient if the transient state is important. On the contrary, if the transient state is very low, it is preferable to use the classical approach, namely, the time-stepping FEM. Research limitations/implications The main limitation of the proposed approach is the necessity to evaluate or to know the time constant and consequently the duration of the transient state. Moreover the method requires some important memory resources. Practical/implications In the context of the use of the time-stepping FEM, one of the problems is the computation time which can be important to obtain the steady state. The proposed method permits avoidance of this difficulty and directly gives the steady state. Social/implications The proposed approach will permit to model and study the electromagnetic systems in the steady state, and particularly the transformers. Because of the gain in computing time, the use of optimisation techniques will be facilitated. Originality/value The novelty of this study is the proposal of the waveform relaxation–Newton method to directly obtain the steady state when applied to the three-phase transformer.

FEASIBILITY STUDY OF A 10-GWh TOROIDAL SUPERCONDUCTIVE MAGNETIC ENERGY STORAGE SYSTEM1. SYSTEM DESIGN

1984 ◽  
Vol 45 (C1) ◽  
pp. C1-581-C1-585 ◽  
Author(s):  
M. Shimizu ◽  
Y. Tanabe ◽  
T. Yoshioka ◽  
K. Takeda ◽  
T. Hamajima ◽  
...  
Keyword(s):  
Energy Storage ◽  
System Design ◽  
Feasibility Study ◽  
Magnetic Energy ◽  
Magnetic Energy Storage
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