Experimental design method applied to a multiphysical model: “Trellis” designs for a multidimensional screening study

Abstract

Purpose

The aim of this paper is to use an analytical multi‐physical model – electromagnetic, mechanic and acoustic – in order to predict the electromagnetic noise of a permanent magnet synchronous machine.

Design/methodology/approach

The aim of this work is to develop and use an analytical multi‐physical model – electromagnetic, mechanic and acoustic – of a synchronous machine with permanent magnets. The complete model is coded in order to predict acoustic noise. A study of sensitivity is presented in order to deduce the influential – or significant – factors on the noise. For that, the technique of the experimental designs is used. More particularly, the modeling of the noise will be achieved due to the new “trellis” designs.

Findings

Three models are presented: electromagnetic, mechanical of vibration and acoustic. For each of them, comparisons with finite element method and experiments have been made. Several response surfaces are given; they represent the noise according to influential factors, with respect to different speeds of the machine. These surfaces are useful to deduce the parts of the design space to avoid.

Originality/value

Different multi‐physical aspects are considered: electromagnetic, mechanic and acoustic phenomena are taken into account due to a single analytical model. The experimental design method is the privileged tool used to make the complex relationships between the main variables appear.

Citation

Vivier, S., Hecquet, M., Ait‐Hammouda, A. and Brochet, P. (2005), "Experimental design method applied to a multiphysical model: “Trellis” designs for a multidimensional screening study", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 3, pp. 726-739. https://doi.org/10.1108/03321640510598094