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This paper presents a method for automatic design of magnetic devices-The Process can be used to determine both the topology and shape of the required device, as well as the materials to be used. Sensitivity information derived directly from Maxwell's equations is used to direct the optimization process.of the interface surfaces between homogeneous regions, and, second, the type of material in each region. The aim of optimization in this context is to determine the shape of specific regions in the device,The OMD approach has a view of devices that is conceptually different from the conventional approach.

Library of Congress Cataloging in Publication Data Lowther, D. A. Computer-aided design in magnetics. Bibliography: p. Includes index. 1. Magnetic devices-Design and construction-Data processing. 2. Computer-aided design. I. Silvester,

This paper presents an effective methodology for robust optimization of electromagnetic devices. To achieve the goal, the method improves the robustness of the minimum of the objective function chosen as a design solution by minimizing the second-order sensitivity information, called a gradient index (GI) and defined by a function of gradients of performance functions with respect to uncertain variables. The constraint feasibility is also enhanced by adding a GI corresponding to the constraint value. The distinctive feature of the method is that it requires neither statistical information on design variables nor calculation of the performance reliability during the robust optimization process. The validity of the proposed method is tested with the TEAM Workshop Problem 22.

This paper proposes a new benchmark for multi-objective optimization. A solution is furnished which has enabled an extensive search and reliable estimation of the shape of the Pareto front. Field uniformity and sensitivity are considered in the context of robust design. It is argued that the benchmark will provide a challenging target for new algorithms, especially those involving numerical modeling using finite-element codes where the number of objective function calls needs to be minimized for practical design processes.