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Multi-objective free-form shape optimization of a synchronous reluctance machine

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING (2022)

Shape Optimization of Rotating Electric Machines Using Isogeometric Analysis

Melina Merkel et al.

Summary: This work focuses on shape optimization of electric machines using isogeometric analysis, allowing for easy modification of geometry without remeshing. By applying shape sensitivity analysis and freeform shape optimization, a 75% reduction in total harmonic distortion of electromotive force was achieved in an isogeometric model of an IPMSM.

IEEE TRANSACTIONS ON ENERGY CONVERSION (2021)

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Article Automation & Control Systems

TRACING LOCALLY PARETO-OPTIMAL POINTS BY NUMERICAL INTEGRATION

Matthias Bolten et al.

Summary: A novel approach is suggested for approximating the Pareto front of biobjective optimization problems by scalarizing the problem and tracing the front through numerical integration using an ODE. Error analysis based on Lipschitz properties and an explicit Runge-Kutta method are provided for numerical solution. The method is validated on convex quadratic programming and tested on a known biobjective function ZDT3 involving complex shape optimization problems.

SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2021)

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Article Computer Science, Interdisciplinary Applications

Fully and semi-automated shape differentiation in NGSolve

Peter Gangl et al.

Summary: This paper presents a framework for automated shape differentiation in the finite element software NGSolve, combining the Lagrangian approach and automated differentiation capabilities. Users can customize the level of automation needed, with automatic generation of first- and second-order shape derivatives discussed for both constrained and unconstrained model problems. Numerical experiments validate the accuracy of computed derivatives, and first- and second-order shape optimization algorithms are demonstrated for various numerical optimization examples.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2021)

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Article Automation & Control Systems