Abstract
This paper presents a robust optimal design method using a hybrid response surface method (H-RSM) which directly finds an optimal point satisfying a target Z-value or a probability of failure. Through three steps, this paper achieves the goal that is to increase the open-circuit airgap flux (OCAF) in a surface-mounted permanent magnet motor and decrease its variation caused by variations of the airgap lengths including an additional one between permanent magnets and rotor back yoke. First, the OCAF equation is derived from the magnetic equivalent circuit (MEC) considering the additional airgap. Then, the equation is validated by comparing its results with those of the finite element method (FEM) modeled by the slotless stator. Next, the tolerance sensitivity analysis, using the partial derivative of the OCAF equation with respect to the airgap length, is performed to investigate the effects of design variables on the OCAF. It is shown that increasing the magnet thickness is effective for both increasing mean of the OCAF and reducing its variation. Finally, robust optimal design is performed using the H-RSM, in which all data are obtained from the FEM modeled by the slotted stator. The results of the robust optimal design are verified using the FEM.
Highlights
Achieving high efficiency in electrical machines is important to meet increased energy standards while preserving the environment
In order to compensate for the demerits of signal-to-noise ratio (SNR), this paper presents the hybrid response surface method (H-RSM) which is the hybrid of response surface method (RSM) and Taguchi robust design and directly finds the optimal point in terms of Z-value instead of SNR by using the regression equation because the target probability of failure (POF) can be directly estimated by its corresponding Z-value [1]
The open-circuit airgap flux (OCAF) and its variation caused by the variations in the airgap length were investigated as a function of the main design variables such as airgap length, magnet thickness (MT), and magnet pole angle (MPA)
Summary
Achieving high efficiency in electrical machines is important to meet increased energy standards while preserving the environment. In [27], the authors focused on the application of the variance-based global sensitivity analysis for a topological derivative method in order to solve a stochastic nonlinear time-dependent magneto-quasi-static interface problem, in which the objective is to provide a robust design of the rotor poles and of the tooth base in a stator for the reduction of the torque ripple and electromagnetic losses, while taking material uncertainties into account. These methods seem to be time-consuming and it is difficult to theoretically investigate the effects of the design variables on the OCAF. Tolerance Sensitivity Analysis of the OCAF Using MEC Considering the Manufacturing Tolerances
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