Robust and Multi-Objective Pareto Design of a Solenoid

Abstract

The optimization of the design of a practical electromagnetic device involves many challenging tasks for new algorithms, especially those involving numerical modeling codes in which objective function calls must be minimized for practical design processes. The Compumag Society provides openly accessible, challenging benchmark problems (TEAM problems) for testing novel numerical solvers. This paper deals with a novel solution for the multi-objective TEAM benchmark problem. This solenoid design test problem aims to search for the optimal shape of a coil, which ensures a uniform field distribution in the control region, while the sensitivity and the mass/DC loss of the coil are also considered in the context of robust design. The main differences from the previously published solutions are that the proposed methodology optimizes all three objectives together, not only as two independent two-dimensional sub-problems. We considered the asymmetrical cases in the solution and found that the symmetrical solutions always produced better uniformity and sensitivity measures. However, the difference between the symmetrical and asymmetrical solutions is insignificant for these objectives. Despite the fact that the cheapest solutions are symmetrical setups, they perform worse than the cheapest asymmetric ones in these uniformity and sensitivity criteria. Therefore, some asymmetric solutions that were previously neglected from the solution space can be competitive and interesting for practical design.

Automatic Tolerance Analysis of Permanent Magnet Machines with Encapsuled FEM Models Using Digital-Twin-Distiller

“…The tolerance analysis was carried out by the digital-twin-distiller (digital-twindistiller is available for download from: http://www.github.com/montana-knowledgemanagement/digital-twin-distiller, accessed: 17 October 2021). a novel robust design optimization platform, which has many features supporting high-performance tolerance analysis with different FEM-solvers [26]. Due to the Platform class, it is possible to switch between the integrated FEM-solvers: Agros2D and FEMM [25,[32][33][34].…”

“…A good example is an existing team benchmark problem, where a robust solenoid design should be calculated. The solution of the robust goal function needs multiple FEM simulations for every individual during the evolutionary algorithm-based optimization [23][24][25][26]. Considering the tolerances and other uncertainties in an early design stage, they can increase further the number of calculations.…”

Comparison of Mechanical and Low-Frequency Dielectric Properties of Thermally and Thermo-Mechanically Aged Low Voltage CSPE/XLPE Nuclear Power Plant Cables

“…According to the robust design principle, the product performance can be improved by minimizing performance variations caused by uncontrollable parameters (noise factors) or design variables (control factors) [16]. The robust approach is widely used in the design of NPP control systems, electrical equipment, and machines [17][18][19][20][21][22][23]. Hence, considering NPP cable as a product, if the mechanical stress is not prescribed as an aging parameter in qualification, this can be regarded as a noise factor and can cause uncertainty in the cable performance.…”

Robust Design Optimization of Electrical Machines and Devices

“…The Compumag Society provides openly accessible, challenging benchmark problems (TEAM problems) for testing novel numerical solvers. In [1], the authors deal with a solution of a robust design of a solenoid, and the test problem aims to search for the optimal shape of a coil, which ensures a uniform field distribution in the control region, while the sensitivity and the mass/DC loss of the coil are also considered in the context of robust design. The paper points out that if we are looking for designs with acceptable tolerances, not only symmetrical designs can be favoured.…”