Robust design optimization of permanent magnet synchronous machine utilizing genetic and Taguchi's algorithm

Chowdhury, Mazharul; Islam, Mohammad; Gebregergis, Abraham; Sebastian, Tomy

doi:10.1109/ecce.2013.6647376

Cited by 16 publications

(9 citation statements)

References 7 publications

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“…The Taguchi robust design method has been widely used for improving robustness of the target response by considering uncontrollable noise factors such as manufacturing tolerances, temperature variation, etc. [13,14,16]. Taguchi robust design determines the robustness by using the signal-to-noise ratio (SNR) which is the robustness index expressed by the mean and standard deviation of the response.…”

Section: Robust Optimal Design Of the Ocaf Using Hybrid Response Surfmentioning

confidence: 99%

“…Fourth, the regression equations of the statistic values of the OCAF are derived from the analysis of the response surface method as below: µ Φ g = 0.06781 + 0.002929 × MT + 0.002367 × MPA + 0.000102 × MT × MPA (12) σ Φ g = 0.001442 − 0.000021 × MT + 0.000048 MPA − 0.000001 × MT × MPA (13) Z Φ g = −48.35 + 1.703 × MT + 0.8133 × MPA + 0.02842 × MT × MPA (14) SNR Φ g = 0.3697 + 0.2633 × MT + 0.1282 × MPA − 0.000006 × MT × MPA (15) In the above equations, there are no quadratic terms because we used two levels of the MT and MPA as can be seen in Table 5; we should use three levels of a factor to include the quadratic terms of the factor. However, we think that the quadratic terms of MT and MPA have ignorable effect on the OCAF as can be seen in Figure 6.…”

Section: Control Factor Noise Factor Statistics Responsementioning

confidence: 99%

“…A few groups have carried out statistical analysis of the effects of magnet tolerance such as magnet misplacement, remanence variation, etc., on the cogging torque or torque ripple by using the FEM or analytical expressions in [9][10][11][12]. In [13][14][15][16][17][18][19], the authors carried out the robust optimal design, using the Taguchi robust method or design of experiment and etc., to improve the variation of motor performance, e.g., cogging torque and torque ripple, caused by the manufacturing tolerances.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Tolerance Sensitivity Analysis and Robust Optimal Design Method of a Surface-Mounted Permanent Magnet Motor by Using a Hybrid Response Surface Method Considering Manufacturing Tolerances

Jun

Kwon

2018

Energies

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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.

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Section: Robust Optimal Design Of the Ocaf Using Hybrid Response Surfmentioning

confidence: 99%

Section: Control Factor Noise Factor Statistics Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Tolerance Sensitivity Analysis and Robust Optimal Design Method of a Surface-Mounted Permanent Magnet Motor by Using a Hybrid Response Surface Method Considering Manufacturing Tolerances

Jun

Kwon

2018

Energies

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“…Since the coil temperature is an objective function, the smaller-the-better (STB) response is chosen among the loss functions. The loss function is presented as (1) because the coil temperatures should be small [10][11][12][13][14]:…”

Section: Quality Loss Function and Sn Ratiomentioning

confidence: 99%

Taguchi's robust design optimisation of water‐cooled ISG motors considering manufacturing tolerances

Kim

Lee

2020

IET Electric Power Applications

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Electrical machines are widely used as a driving source for various applications because of their wide speed range, high efficiency, and torque density. Similar to any other machine, manufacturing tolerances occur when mass producing the motors. In particular, the tolerances of the shape of the motor or the residual flux density in the permanent magnet significantly affect the back-electromotive force (EMF), inductance etc. When the magnitude of the back-EMF is changed, the armature current must be changed to obtain the same torque. This consequently affects the loss of the motor, and hence leads to changes in efficiency. In particular, the loss changes cause thermal problems such as irreversible demagnetisation of the magnets and dielectric breakdown due to the increase in the temperature of the coils. Therefore, to reduce the inevitable manufacturing tolerance, a robust methodology should be assured. Here, the Taguchi's robust design is applied to an integrated starter-generator motor by using the signal-to-noise ratio to consider the coil temperature.

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“…The study of robust design deal with various responses [12][13][14][15][16][17], and the residual induction according to manufacturing tolerance is studied in [18][19][20]. However, the robust design is not conducted considering the magnetic unbalance caused by asymmetry of each pole.…”

Section: Research Articlementioning

confidence: 99%

Taguchi robust optimum design for reducing the cogging torque of EPS motors considering magnetic unbalance caused by manufacturing tolerances of PM

Kim

Jung

Kim

et al. 2016

IET Electric Power Applications

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Electric machines are widely used across a variety of applications. In particular, the cogging torque of a permanent magnet (PM) synchronous motor is a significantly important characteristic in the application of electric power steering (EPS) systems. Accordingly, various optimal design methods are adopted to reduce the cogging torque for an EPS motor. However, in most cases, the measured cogging torque of the EPS motor is much greater than finite element method result, because the additional cogging torque harmonic components are generated by manufacturing tolerances. Especially, the specific harmonic components are produced due to magnetic unbalance by the asymmetry of motor shape which is caused by the tolerances in motor cores or PMs. These components are not eliminated by applying a skew. Thus, in order to reduce the effect of the tolerances, a robust design is needed. In this study, the effect of PM tolerances is studied, and Taguchi robust design is performed to enhance the motor quality regardless of the tolerances.

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Robust design optimization of permanent magnet synchronous machine utilizing genetic and Taguchi's algorithm

Cited by 16 publications

References 7 publications

Tolerance Sensitivity Analysis and Robust Optimal Design Method of a Surface-Mounted Permanent Magnet Motor by Using a Hybrid Response Surface Method Considering Manufacturing Tolerances

Tolerance Sensitivity Analysis and Robust Optimal Design Method of a Surface-Mounted Permanent Magnet Motor by Using a Hybrid Response Surface Method Considering Manufacturing Tolerances

Taguchi's robust design optimisation of water‐cooled ISG motors considering manufacturing tolerances

Taguchi robust optimum design for reducing the cogging torque of EPS motors considering magnetic unbalance caused by manufacturing tolerances of PM

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