Design Improvement of Permanent Magnet Motor Using Single- and Multi-Objective Approaches

G. Cvetkovski, L. Petkovska
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Abstract

Optimisation, or optimal design, has become a fundamental aspect of engineering across various domains, including power devices, power systems, and industrial systems. Engineers and academics have been actively involved in optimising these systems to achieve better performance, efficiency, and cost-effectiveness. Optimising electrical machines, including permanent magnet motors, is a complex task. It often involves solving intricate problems with various parameters and constraints. Engineers use different optimisation methods to tackle these challenges. Depending on the specific requirements and goals of a design project, engineers may employ either single-objective or multi-objective optimisation approaches. Single-objective optimisation focuses on optimising a single objective, while multi-objective optimisation considers multiple conflicting objectives. In optimisation, objective functions are mathematical representations of what needs to be optimised. In this case, optimising the efficiency of the motor, reducing cogging torque, and minimising the total weight of active materials are defined as possible objective functions. Genetic algorithms are nature based algorithms that are commonly used in engineering to find optimal solutions to complex problems, including those with multiple objectives. In this paper, after conducting optimisations using different objective functions and methods, a comparative analysis of the results is performed. This helps in understanding the trade-offs and benefits of different design choices. Finite element analysis (FEA) is a computational method used to analyse the physical properties and behaviours of complex structures and systems. In this case, FEA is used to validate and analyse selected optimisation solutions to ensure they meet the desired characteristics and parameters. Overall, this work demonstrates the interdisciplinary nature of engineering, where mathematics, computer science (for optimisation algorithms), and physics (for FEA) converge to improve the performance and efficiency of electrical machines. It also underscores the importance of considering multiple objectives in design processes to find optimal solutions that strike a balance between competing goals.
使用单目标和多目标方法改进永磁电机的设计
优化或最佳设计已成为包括功率器件、电力系统和工业系统在内的各个领域工程学的一个基本方面。工程师和学者们一直积极参与优化这些系统,以实现更好的性能、效率和成本效益。优化电机(包括永磁电机)是一项复杂的任务。它通常涉及解决具有各种参数和约束条件的复杂问题。工程师使用不同的优化方法来应对这些挑战。根据设计项目的具体要求和目标,工程师可能会采用单目标或多目标优化方法。单目标优化侧重于优化单一目标,而多目标优化则考虑多个相互冲突的目标。在优化过程中,目标函数是需要优化的内容的数学表示。在本例中,优化电机效率、降低齿槽转矩和最小化活性材料总重量被定义为可能的目标函数。遗传算法是一种基于自然的算法,通常用于工程领域,为复杂问题(包括具有多个目标的问题)寻找最佳解决方案。本文在使用不同的目标函数和方法进行优化后,对结果进行了比较分析。这有助于理解不同设计选择的利弊权衡。有限元分析(FEA)是一种用于分析复杂结构和系统的物理特性和行为的计算方法。在本案例中,有限元分析用于验证和分析所选的优化方案,以确保它们符合所需的特性和参数。总之,这项工作展示了工程学的跨学科性质,数学、计算机科学(用于优化算法)和物理学(用于有限元分析)在此汇聚,以提高电机的性能和效率。它还强调了在设计过程中考虑多重目标的重要性,以找到在相互竞争的目标之间取得平衡的最佳解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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