Robust design optimisation of electromagnetic devices exploiting gradient indices and Kriging

Robust design optimisation of electromagnetic devices exploiting gradient indices and Kriging

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Science, Measurement & Technology — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Since uncertainties in variables are unavoidable, an optimal solution must consider the robustness of the design. The gradient index approach provides a convenient way to evaluate the robustness but is inconclusive when several possible solutions exist. To overcome this limitation, a novel methodology based on the use of first- and second-order gradient indices is proposed introducing the notion of gradient sensitivity. The sensitivity affords a measure of the change in the objective function with respect to the uncertainty of the variables. A Kriging method assisted by algorithms exploiting the concept of rewards is employed to facilitate function predictions for the robust optimisation process. The performance of the proposed algorithm is assessed through a series of numerical experiments. A modification to the correlation model through the introduction of a Kriging predictor and mean square error criterion allows efficient solution of large scale and multi-parameter problems. The three-parameter version of TEAM Workshop Problem 22 has been used for illustration.


    1. 1)
      • 1. Weng, W.C., Yang, F., Demir, V., Elsherbeni, A.: ‘Optimization using Taguchi method for electromagnetic applications’. Proc. European Conf. Antennas and Propagation ‘EuCAP 2006’, (ESA SP-626), Nice, France, 6–10 November 2006.
    2. 2)
      • 2. Kim, K.S., Lee, S.J., Cho, S.G., et al: ‘Multi-response Taguchi robust design of back electromotive force and cogging torque considering the manufacturing tolerance for electric machine’. 13thInt. Conf. Optimization of Electrical and Electronic Equipment (OPTIM), Brasov, Romania, 24–26 May 2012.
    3. 3)
    4. 4)
    5. 5)
      • 5. Ren, Z.Y., Zhang, D.H., Koh, C.S.: ‘Reliability evaluation of the electromagnetic device based on the second order sensitivity analysis’. Sixth Int. Conf. Electromagnetic Field Problems and Applications (ICEF), Dalian, China, 2012.
    6. 6)
    7. 7)
      • 7. Sykulski, J.K.: ‘New trends in optimisation in electromagnetics’. IET Seventh Int. Conf. Computation in Electromagnetics (CEM 2008), 2008, pp. 4449.
    8. 8)
    9. 9)
    10. 10)
    11. 11)
      • 11. Sykulski, A., Adams, N., Jennings, N.: ‘On-line adaptation of exploration in the one-armed bandit with covariate problem’. Proc. Ninth Int. Conf. Machine Learning and Applications, 2010.
    12. 12)
    13. 13)
    14. 14)
      • 14. Alotto, P.G., Baumgartner, U., Freschi, F., et al: ‘TEAM workshop problem 22’,
    15. 15)
      • 15. Santner, T.J., Williams, B.J., Notz, W.I.: ‘The design and analysis of computer experiments’ (Springer, 2003).
    16. 16)
    17. 17)
      • 17. Holland, J.H.: ‘Adaption in natural and artificial system’ (MIT Press, Cambridge, 1975).
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
      • 22. Yang, S.Y., Bai, Y.N., Zhang, G.H., Vecchi, L.Wu.: ‘An improved population-based incremental learning method for inverse problems’. Automation Congress, 2008, pp. 14.
    23. 23)
      • 23. Xiao, S., Rotaru, M., Sykulski, J.K.: ‘Correlation matrices in Kriging assisted optimisation of electromagnetic devices’, IET Sci. Meas. Technol., 2014, doi: 10.1049/iet-smt.2014.0194..

Related content

This is a required field
Please enter a valid email address