Abstract
The size of microwave components has become an important design criterion for contemporary wireless communication engineering. Unfortunately, reduction of geometrical dimensions usually remain in conflict with electrical performance of the circuit, which makes it necessary to look for designs being a compromise between these two types of objectives. In this chapter, we discuss strategies for computationally-efficient multi-objective design optimization of miniaturized microwave structures. More specifically, we consider an optimization methodology based on point-by-point identification of a Pareto-optimal set of designs representing the best possible trade-offs between conflicting objectives, which include electrical performance parameters as well as the size of the structure of interest. Design speedup is achieved by performing most of the operations at the level of suitably corrected equivalent circuit model of the structure under design. Model correction is implemented using a space mapping technique involving, among others, frequency scaling. Operation and performance of our approach is demonstrated using a compact rat-race coupler designed with respect to the following objectives: bandwidth and the layout area. A representation of the Pareto set consisting of ten designs is obtained at the cost corresponding to less than thirty high-fidelity electromagnetic simulations of the structure.
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References
Yeung, S.H., Man, K.F.: Multiobjective optimization. IEEE Microwave Mag. 12, 120–133 (2011)
Koziel, S., Bekasiewicz, A., Zieniutycz, W.: Expedite EM-Driven multi-objective antenna design in highly-dimensional parameter spaces. IEEE Antennas Wirel. Propag. Lett. 13, 631–634 (2014)
Kurgan, P., Bekasiewicz, A.: A robust design of a numerically demanding compact rat-race coupler. Microw. Opt. Technol. Lett. 56, 1259–1263 (2014)
Koziel, S., Bekasiewicz, A.: Fast multi-objective optimization of narrow-band antennas using RSA Models and design space reduction. IEEE Antennas Wirel. Propag. 14, 450–453 (2014)
Tseng, C.-H., Chen, H.-J.: Compact rat-race coupler using shunt-stub-based artificial transmission lines. IEEE Microw. Wireless Comp. Lett. 18, 734–736 (2008)
Ghali, H., Moselhy, T.A.: Miniaturized fractal rat-race, branch-line, and coupled-line hybrids. IEEE Trans. Microw. Theory Tech. 52, 2513–2520 (2004)
Kurgan, P., Kitlinski, Z.: Doubly miniaturized rat-race hybrid coupler. Microw. Opt. Technol. Lett. 53, 1242–1244 (2011)
Liao, S.-S., Sun, P.-T., Chin, N.-C., Peng, J.-T.: A novel compact-size branch-line coupler. IEEE Microw. Wireless Comp. Lett. 15, 588–590 (2005)
Bekasiewicz, A., Kurgan, P., Kitlinski, Z.: A new approach to a fast and accurate design of microwave circuits with complex topologies. IET Microw. Antennas Propag. 6, 1616–1622 (2012)
Koziel, S., Bekasiewicz, A., Kurgan, P.: Rapid EM-driven design of compact RF circuits by means of nested space mapping. IEEE Microw. Wireless Comp. Lett. 24, 364–366 (2014)
Nocedal, J., Wright, S.: Numerical Optimization, 2nd edn. Springer, New York (2006)
Rios, L.M., Sahinidis, N.V.: Derivative-free optimization: a review of algorithms and comparison of software implementations. J. Global Opt. 56, 1247–1293 (2013)
Kurgan, P., Bekasiewicz, A.: Atomistic surrogate-based optimization for simulation-driven design of computationally expensive microwave circuits with compact footprints. In: Koziel, S., Leifsson, L., Yang, X.S. (eds.) Solving Computationally Expensive Engineering Problems: Methods and Applications, pp. 195–218 (2014)
Kuwahara, Y.: Multiobjective optimization design of Yagi-Uda antenna. IEEE Trans. Antennas Propag. 53, 1984–1992 (2005)
Bekasiewicz, A., Kurgan, P.: A compact microstrip rat-race coupler constituted by nonuniform transmission lines. Microw. Opt. Technol. Lett. 56, 970–974 (2014)
Wincza, K., Gruszczynski, S.: Theoretical limits on miniaturization of directional couplers designed as a connection of tightly coupled and uncoupled lines. Microw. Opt. Technol. Lett. 55, 223–230 (2013)
Kurgan, P., Filipcewicz, J., Kitlinski, Z.: Development of a compact microstrip resonant cell aimed at efficient microwave component size reduction. IET Microw. Antennas Propag. 6, 1291–1298 (2012)
Kurgan, P., Filipcewicz, J., Kitlinski, Z.: Design considerations for compact microstrip resonant cells dedicated to efficient branch-line miniaturization. Microw. Opt. Technol. Lett. 54, 1949–1954 (2012)
Koziel, S., Bandler, J.W., Madsen, K.: A space mapping framework for engineering optimization: theory and implementation. IEEE Trans. Microw. Theory Tech. 54, 3721–3730 (2006)
Koziel, S., Bandler, J. W,. Madsen, K.: Towards a rigorous formulation of the space mapping technique for engineering design. Proc. Int. Symp. Circuits Syst. 1, 5605–5608 (2005)
Koziel, S., Yang X.S. (eds.): Computational optimization, methods and algorithms. Series: Studies in Computational Intelligence, p. 356 (2011)
Cheng, Q.S., Rautio, J.C., Bandler, J.W., Koziel, S.: Progress in simulator-based tuning—the art of tuning space mapping. IEEE Microw. Mag. 11, 96–110 (2010)
Bandler, J.W., Cheng, Q.S., Hailu, D.M., Nikolova, N.K.: A space-mapping design framework. IEEE Trans. Microw. Theory Tech. 52, 2601–2610 (2004)
Bandler, J.W., Georgieva, N., Ismail, M.A., Rayas-Sanchez, J.E., Zhang, Q.-J.: A generalized space-mapping tableau approach to device modeling. IEEE Trans. Microw. Theory Tech. 49, 67–79 (2001)
Koziel, S., Bandler, J.W.: Space mapping with multiple coarse models for optimization of microwave components. IEEE Microw. Wireless Comp. Lett. 18, 1–3 (2008)
Koziel, S., Bandler, J.W., Madsen, K.: Quality assessment of coarse models and surrogates for space mapping optimization. Opt. Eng. 9, 375–391 (2008)
Bandler, J.W., Cheng, Q.S., Dakroury, S.A., Mohamed, A.S., Bakr, M.H., Madsen, K., Søndergaard, J.: Space mapping: the state of the art. IEEE Trans. Microw. Theory Tech. 52, 337–361 (2004)
Smierzchalski, M., Kurgan, P., Kitlinski, Z.: Improved selectivity compact band-stop filter with Gosper fractal-shaped defected ground structures. Microw. Opt. Technol. Lett. 52, 227–232 (2010)
Kurgan, P., Bekasiewicz, A., Pietras, M., Kitlinski, M.: Novel topology of compact coplanar waveguide resonant cell low-pass filter. Microw. Opt. Technol. Lett. 54, 732–735 (2012)
Kurgan, P., Kitlinski, Z.: Novel doubly perforated broadband microstrip branch-line couplers. Microw. Opt. Technol. Lett. 51, 2149–2152 (2009)
Tsai, L.-T.: A compact dual-passband filter using stepped-impedance resonators. Microw. Opt. Technol. Lett. 55, 2514–2517 (2013)
Koziel, S., Bekasiewicz, A., Couckuyt, I., Dhaene, T.: Efficient multi-objective simulation-driven antenna design using Co-Kriging. IEEE Trans. Ant. Prop. 62, 5900–5905 (2014)
Bekasiewicz, A., Koziel, S., Zieniutycz, W.: Design space reduction for expedited multi-objective design optimization of antennas in highly-dimensional spaces. In: Koziel, S., Leifsson, L., Yang, X.S. (eds.) Solving Computationally Expensive Engineering Problems: Methods and Applications, pp. 113–147, Springer, Switzerland (2014)
Koziel, S., Ogurtsov, S.: Multi-Objective Design of Antennas Using Variable-Fidelity Simulations and Surrogate Models. IEEE Trans. Antennas Propag. 61, 5931–5939 (2013)
Jin, N., Rahmat-Samii, Y.: Hybrid Real-Binary Particle Swarm Optimization (HPSO) in engineering electromagnetics. IEEE Trans. Antennas Propag. 58, 3786–3794 (2010)
Opozda, S., Kurgan, P., Kitlinski, M.: A compact seven-section rat-race hybrid coupler incorporating PBG cells. Microw. Opt. Technol. Lett. 51, 2910–2913 (2009)
Bekasiewicz, A., Koziel, S., Pankiewicz, B.: Accelerated simulation-driven design optimization of compact couplers by means of two-level space mapping. IET Microw. Antennas Propag. 9, 618–626 (2014)
Koziel, S., Kurgan, P., Pankiewicz, B.: Cost‐efficient design methodology for compact rat‐race couplers. Int. J. RF Microwave Comput. Aided Eng. 25(3):236–242 (2015)
Pozar, D.M.: Microwave Engineering, 4th edn. Wiley, Hoboken (2012)
Agilent A.D.S.: Agilent Technologies, 1400 Fountaingrove Parkway, Santa Rosa, CA 95403-1799, USA (2011)
CST Microwave Studio: Computer Simulation Technology AG, Bad Nauheimer Str. 19, D-64289 Darmstadt, Germany (2013)
Kurgan, P., Kitlinski, Z.: Slow-wave fractal-shaped compact microstrip resonant cell. Microw. Opt. Technol. Lett. 52, 2613–2615 (2010)
Kurgan, P., Bekasiewicz, A., Kitlinski, M.: On the low-cost design of abbreviated multi-section planar matching transformer. Microw. Opt. Technol. Lett. 57(3):521–525 (2015)
Bekasiewicz, A., Koziel, S.: Efficient multi-fidelity design optimization of microwave filters using adjoint sensitivity. Int. J. RF Microw. Comput. Aided Eng. 25(2):178–183 (2015)
Deb., K.: Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, New York (2001)
Koziel, S., Cheng, Q.S., Bandler, J.W.: Space mapping. IEEE Microw. Mag. 9, 105–122 (2008)
Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidynathan, R., Tucker, P.K.: Surrogate-based analysis and optimization. Prog. Aerosp. Sci. 41, 1–28 (2005)
El Zooghby, A.H., Christodoulou, C.G., Georgiopoulos, M.: A neural network-based smart antenna for multiple source tracking. IEEE Trans. Antennas Propag. 48, 768–776 (2000)
Koziel, S., Bekasiewicz, A., Kurgan, P.: Nested space mapping technique for design and optimization of complex microwave structures with enhanced functionality. In: Koziel, S., Leifsson, L., Yang, X.S. (eds.) Solving Computationally Expensive Engineering Problems: Methods and Applications, pp. 53–86. Springer, Switzerland (2014)
Bandler, J.W., Cheng, Q.S., Nikolova, N.K., Ismail, M.A.: Implicit space mapping optimization exploiting preassigned parameters. IEEE Trans. Microw. Theory Tech. 52, 378–385 (2004)
Chamaani, S., Mirtaheri, S.A., Abrishamian, M.S.: Improvement of time and frequency domain performance of antipodal vivaldi antenna using multi-objective particle swarm optimization. IEEE Trans. Antennas Propag. 59, 1738–1742 (2011)
Acknowledgments
The authors thank Computer Simulation Technology AG, Darmstadt, Germany, for making CST Microwave Studio available. This work was supported in part by the Icelandic Centre for Research (RANNIS) Grant 13045051.
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Koziel, S., Bekasiewicz, A., Kurgan, P., Leifsson, L. (2015). Computationally-Efficient EM-Simulation-Driven Multi-objective Design of Compact Microwave Structures. In: Obaidat, M., Ören, T., Kacprzyk, J., Filipe, J. (eds) Simulation and Modeling Methodologies, Technologies and Applications . Advances in Intelligent Systems and Computing, vol 402. Springer, Cham. https://doi.org/10.1007/978-3-319-26470-7_12
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