Abstract
As the material property error of antenna impact the electromagnetic (EM) performance of the antenna system, a novel analytic approach for the research of the effect on antenna response with the material property error based on surrogate model and model-order reduction is proposed. The material property error of antenna is modeled as interval parameters. A Method based on the proper orthogonal decomposition (POD) is addressed to accurately and rapidly predict the EM performance of antenna. In this method, a reduced basis is constructed from a set of full-order snapshots by the POD, and the Kriging model is used to approximate the projection coefficients. Moreover, a multi-point parallel adaptive sampling algorithm is used to improve the accuracy of proposed model. Then the derived model can be used as efficient surrogate for statistical analysis of antennas EM performance. Some numerical results are presented to illustrate the accuracy and efficiency of the proposed method. The proposed approach has good prospect to be applied in uncertainty analysis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Song, L.W., Ma, H.B., Wang, C.S.: Pattern tolerance analysis of distorted linear array using interval methods. In: 5th Asia International Symposium on Mechatronics, pp. 1–6. IET, Stevenage, UK (2015)
Anselmi, N., Manica, L., Rocca, P., Massa, A.: Tolerance analysis of antenna arrays through interval arithmetic. IEEE Trans. Antennas Propag. 61(11), 5496–5507 (2013)
Li, P., Xu, W.Y., Li-Wei, S.: Power pattern tolerance analysis of radome with the material property error based on interval arithmetic. IEEE Antennas Wirel. Propag. Papers 16, 1321–1324 (2017)
Chauviere, C., Hesthaven, J.S., Wilcox, L.C.: Efficient computation of RCS from scatterers of uncertain shapes. IEEE Trans. Antennas Propag. 55(5), 1437–1448 (2007)
Zubac, Z., De Zutter, D., Vande Ginste, D.: Scattering from two-dimensional objects of varying shape combining the method of moments with the stochastic Galerkin method. IEEE Trans. Antennas Propag. 62(9), 4852–4856 (2014)
Austin, A.C.M., Sarris, C.D.: Efficient analysis of geometrical uncertainty in the FDTD method using polynomial chaos with application to microwave circuits. IEEE Trans. Microwave Theory Tech. 61(12), 4293–4301 (2013)
Sato, Y., Campelo, F., Igarashi, H.: Fast shape optimization of antennas using model order reduction. IEEE Trans. Magn. 51(3), 1–4 (2015)
Li, K., Huang, T.Z., Li, L.: A Reduced-order discontinuous Galerkin method based on POD for electromagnetic simulation. IEEE Trans. Antennas Propag. 66(1), 242–254 (2018)
Rewienski, M., Lamecki, A., Mrozowski, M.: A goal-oriented error estimator for reduced basis method modeling of microwave devices. IEEE Microw. Wireless Compon. Papers 25(4), 208–210 (2015)
Mutonkole, N., Samuel, E.R., de Villiers, D.I.L.: Parametric modeling of radiation patterns and scattering parameters of antennas. IEEE Trans. Antennas Propag. 64(3), 1023–1031 (2016)
Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13(4), 455–492 (1998)
Mutonkole, N., de Villiers, D.I.L.: Multivariate adaptive sampling of parameterized antenna responses. IEEE Trans. Antennas Propag. 65(3), 1073–1080 (2017)
Acknowledgments
This work was supported by National Natural Science Foundation of China (No. 51775405, No. 51490664, No. 51575419), Defense Basic Research Program (No. JCKY2016210B002, No. 61404130405), National Natural Science Foundation of Shaanxi Province under Grant no. 2019JM-010, and “111 Project” under Grant no. B14042.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Science Press
About this paper
Cite this paper
Wu, X., Wang, M., Zhou, J., Kang, L. (2020). Uncertainty Analysis of Antenna Response Using Adaptive Surrogate Model. In: Duan, B., Umeda, K., Hwang, W. (eds) Proceedings of the Seventh Asia International Symposium on Mechatronics. Lecture Notes in Electrical Engineering, vol 588. Springer, Singapore. https://doi.org/10.1007/978-981-32-9437-0_6
Download citation
DOI: https://doi.org/10.1007/978-981-32-9437-0_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9436-3
Online ISBN: 978-981-32-9437-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)