Multi-Fidelity Optimization of Microwave Structures Using Response Surface Approximation and Space Mapping
Keywords:
Multi-Fidelity Optimization of Microwave Structures Using Response Surface Approximation and Space MappingAbstract
A computationally efficient method for design optimization of CPU-intensive microwave structures is discussed. The presented technique exploits a response surface approximation surrogate model set up using data from the coarse-mesh EMbased model being a relaxed-accuracy representation of the microwave structure in question. The surrogate model is further subjected to the classical space mapping optimization. It is demonstrated that the new technique is able to provide a satisfactory design with a few electromagnetic simulations of the original structure. Because of using functional approximation, no circuit equivalent coarse model is necessary, which makes the presented approach particularly suitable for structures for which the development of the reliable coarse model is problematic (e.g., antennas).
Downloads
References
M.-I. Lai and S.-K. Jeng, “Compact microstrip
dual-band bandpass filters design using genetic-
algorithm techniques,” IEEE Trans. Microwave
Theory Tech., vol. 54, no. 1, pp. 160-168, Jan.
N. Jin, and Y. Rahmat-Samii, “Analysis and
particle swarm optimization of correlator antenna
arrays for radio astronomy applications,” IEEE
Trans. Antennas and Prop., vol. 56, no. 5, pp.
-1279, May 2008.
R. V. Snyder, “Practical aspects of microwave
filter development,” IEEE Microwave Magazine,
vol. 8, no.2, pp. 42-54, Apr. 2007.
S. Shin and S. Kanamaluru, “Diplexer design
using EM and circuit simulation techniques,”
IEEE Microwave Magazine, vol.8, no.2, pp.77-82,
Apr. 2007.
V. Rizzoli, A. Costanzo, D. Masotti and P.
Spadoni, “Circuit-level nonlinear/electromagnetic
co-simulation of an entire microwave link,” IEEE
MTT-S Int. Microwave Symp. Dig., Long Beach,
CA, pp. 813-816, June 2005.
J. Sercu and F. Demuynck, “Electromagnetic/
Circuit co-optimization of lumped component and
physical layout parameters using generalized
layout components,” IEEE MTT-S Int. Microwave
Symp. Dig., Seattle, WA, pp. 2073-2076, June
A. Bhargava, “Designing circuits using an
EM/circuit co-simulation technique,” RF Design,
p. 76, Jan. 2005.
J. W. Bandler, Q. S. Cheng, S. A. Dakroury, A. S.
Mohamed, M. H. Bakr, K. Madsen, and J.
Søndergaard, “Space mapping: the state of the
art,” IEEE Trans. Microwave Theory Tech.,
vol. 52, no. 1, pp. 337-361, Jan. 2004.
S. J. Leary, A. Bhaskar, and A. J. Keane, “A
constraint mapping approach to the structural
optimization of an expensive model using
surrogates,” Optimization Eng., vol. 2, no. 4,
pp. 385-398, Dec. 2001.
H.-S. Choi, D. H. Kim, I. H. Park, and S. Y. Hahn,
“A new design technique of magnetic systems
using space mapping algorithm,” IEEE Trans.
Magn., vol. 37, no. 5, pp. 3627-3630, Sept. 2001.
M. A. Ismail, D. Smith, A. Panariello, Y. Wang,
and M. Yu, “EM-based design of large-scale
dielectric-resonator filters and multiplexers by
space mapping,” IEEE Trans. Microwave Theory
Tech., vol. 52, no. 1, pp. 386-392, Jan. 2004.
D. Echeverria and P. W. Hemker, “Space mapping
and defect correction,” CMAM The International
Mathematical Journal Computational Methods in
Applied Mathematics, vol. 5, no. 2, pp. 107-136,
S. Koziel, J. W. Bandler, and K. Madsen, “A
space mapping framework for engineering
optimization: theory and implementation,” IEEE
KOZIEL: MULTI-FIDELITY OPTIMIZATION OF MICROWAVE STRUCTURES
Trans. Microwave Theory Tech., vol. 54, no. 10,
pp. 3721-3730, Oct. 2006.
R. H. Myers and D.C. Montgomery, “Response
surface methodology,” John Wiley & Sons, Inc.
N. V. Queipo, R. T. Haftka, W. Shyy, T. Goel, R.
Vaidynathan, and P.K. Tucker, “Surrogate-based
analysis and optimization,” Progress in Aerospace
Sciences, vol. 41, no. 1, pp. 1-28, Jan. 2005.
T. W. Simpson, J. D. Peplinski, P. N. Koch, and J.
K. Allen, “Metamodels for computer-based
engineering design: survey and
recommendations,” Engineering with Computers,
vol. 17, no. 2, pp. 129-150, 2001.
B. Beachkofski, R. Grandhi, “Improved
distributed hypercube sampling,” American
Institute of Aeronautics and Astronautics, paper
AIAA 2002-1274, 2002.
S. Koziel, “Multi-fidelity optimization of
microwave structures with FEKO using response
surface approximation and space mapping,”
International Review of Progress in Applied
Computational Electromagnetics, ACES 2009 ,
March 8-12, Monterey, CA, pp. 347-352, 2009.
A. Manchec, C. Quendo, J.-F. Favennec, E. Rius,
and C. Person, “Synthesis of Capacitive-Coupled
Dual-Behavior Resonator (CCDBR) Filters,” IEEE
Trans. Microwave Theory Tech., vol. 54, no. 6,
pp. 2346-2355, June 2006.
FEKO, Suite 5.4, EM Software & Systems-S.A.
(Pty) Ltd, 32 Techno Lane, Technopark,
Stellenbosch, 7600, South Africa, 2008.
J. Zhu, J. W. Bandler, N. K. Nikolova and S.
Koziel, “Antenna optimization through space
mapping,” IEEE Transactions on Antennas and
Propagation, vol. 55, no. 3, pp. 651-658, March
S. Koziel and J. W. Bandler, “Space mapping
optimization of microwave structures with
FEKO,” International Review of Progress in
Applied Computational Electromagnetics, ACES
, March 30-April 4, Niagara Falls, Canada,
pp. 320-325, 2008.
