Vladimir Stanovov, Sergey Khodenkov, Lev Kazakovtsev, Aleksey Popov

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Computer-aided design of new microwave frequency-selective devices, in-
cluding diplexers, as well as improvement of existing designs, is an important and
urgent task in the field of radio engineering. The dependence of the output parameters of diplexers on their geometric parameters is complex, nonlinear, and multi-extremal.
In addition, the determination of such output parameters as average frequencies and bandwidths for given geometric parameters of the microwave device design is carried out using electrodynamic modeling methods, which are very computationally expensive, which imposes restrictions on the global search algorithms used. This paper discusses algorithms for the automated synthesis of microstrip diplexer designs with adjacent passbands, implemented using dielectric monolithic substrates with both high and low dielectric constant in calculations. This paper discusses algorithms for the automated synthesis of microstrip diplexer designs with adjacent passbands, imple-mented using dielectric monolithic substrates with both high and low dielectric constant in calculations.Microstrip diplexers based on multimode resonators are promising microwave devices, characterized by ease of manufacture and miniature size, in which a significant improvement in the frequency-selective properties is achieved by increasing the number of resonators in them, and expanding their adjacent passbands by using resonators connected between itself electromagnetically and conductively. The possibilities of automated synthesis of these devices using special evolutionary algorithms are considered,
the effectiveness of which has been shown by a computational experiment. In this paper, we consider two types of devices characterized by high computational complexity of their complexity due to required electromagnetic modeling.The modified success rate-based adaptive differential evolution is shown to be capable of finding solutions of sufficient quality with a limited resource and a specially designed target function. The proposed approach can be applied for automatic topology tuning of other microwave devices.


Differential Evolution; Parameter Adaptation; Electrodynamic Modeling, Microstrip Diplexer, Multimode Resonator.

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S. Das and P.N. Suganthan: Differential evolution: a survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation. 15 (1) (2011), 4-31. https://doi.org/10.1109/TEVC.2010.2059031.

A. P. Piotrowski and J. J. Napiorkowski: Step-by-step improvement of JADE and SHADE-based algorithms: Success or failure?. Swarm and Evolutionary Computation. 43 (2018), 88-108, https://doi.org/10.1016/j.swevo.2018.03.007.

S. Das and S.S. Mullick and P.N. Suganthan: Recent advances in differential evolution – an updated survey. Swarm and Evolutionary Computation. 27 (2016), 1-30, https://doi.org/10.1016/j.swevo.2016.01.004.

J.-S. Hong: Microstrip filters for RF/microwave applications. Hoboken: John Wiley & Sons, Inc. (2011).

M.-H. Ho and W.-C. Lin: Design of stepped-impedance hairpins band-pass filter with wide stopband performance. Microwave and Optical Technology Letters. 52(6) (2010), 1405-1408.

K.-W. Hsu and W.-H. Tu: Design of compact microstrip band-pass filter with ultra-wide stopband. Microwave and Optical Technology. 52(7) (2010), 1603-1606.

Z. Hao and J. Hong: UWB Bandpass Filter Using Cascaded Miniature High-Pass and Low-Pass Filters with Multilayer Liquid Crystal Polymer Technology. IEEE Transactions on Microwave Theory and Techniques. 58(4) (2010), 941-948.

B.A. Belyaev, S.A. Khodenkov, R.G. Galeev and V.F. Shabanov: A Low-pass Filter Based on a 2D Microstrip Electromagnetic Crystal. Doklady Physics. 63 (2019), 85–89.

K. Song, F. Zhang, Ch. Zhuge and Y. Fan: Compact Dual-band Bandpass Filter Using Spiral Resonators and Short-circuited Stub-loaded Resonator. Microwave and Optical Technology Letters. 55(06) (2013), 1393-1398.

H.-S. Peng and Y.-C. Chiang: Microstrip Diplexer Constructed with New Types of DualMode Ring Filters. IEEE Microwave and Wireless Components Letters. 25(1) (2015), 7-9.

V. V. Stanovov, S. A. Khodenkov, A. M. Popov and L. A. Kazakovtsev: The Automatic Design of Multimode Resonator Topology with Evolutionary Algorithms. Sensors. 22 (2022), https://api.semanticscholar.org/CorpusID:247242349

J. K. Xiao, M. Zhu, Y. Li, L. Tian and J. G. Ma: High Selective Microstrip Bandpass Filter and Diplexer with Mixed Electromagnetic Coupling. IEEE Microwave and Wireless Components Letters. 25(12 (2015), 781-783.

Y. S. Mezaal, S. A. Hashim, A. H. Alfatlawi and H. A. Hussein: New

Microstrip Diplexer for Recent Wireless Applications. International Journal of Engineering and Technology. 7 (2018), 96-99.

B. A. Belyaev, A. M. Serzhantov and V. V. Tyurnev: A Dual-Mode

Split Microstrip Resonator and Its Application in Frequency Selective Devices. Microwave and Optical Technology Letters. 55 (2013), 2186–2190.

R. Tanabe and A.S. Fukunaga: Improving the search performance of SHADE using linear population size reduction. Proceedings of the IEEE Congress on Evolutionary Computation (CEC), Beijing, China (2014), 1658–1665, https://doi.org/10.1109/CEC.2014.6900380.

V. Stanovov and E. Semenkin: Surrogate-Assisted Automatic Parameter Adaptation Design for Differential Evolution. Mathematics (2023), https://api.semanticscholar.org/CorpusID:259620840.

G. Aristarkhov and N. Zvezdinov: High-Selectivity Single- and Dual-Resonator Microstrip Filters. J. Commun. Technol. Electron. 62 (2017), 916-920.

R. Storn and K. Price: Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4) (1997), 341-359, https://doi.org/10.1023/A:1008202821328.

R. Tanabe and A.S. Fukunaga: Success-history based parameter adaptation for differential evolution. Proceedings of the IEEE Congress on Evolutionary Computation (2013), 71-78, https://doi.org/10.1109/CEC.2013.6557555.

J. Zhang and A. C. Sanderson: JADE: Self-adaptive differential evolution with fast and reliable convergence performance. 2007 IEEE Congress on Evolutionary Computation, (2007), 2251-2258.

V. Stanovov, S. Akhmedova and E. Semenkin: Selective Pressure Strategy in differential evolution: Exploitation improvement in solving global optimization problems. Swarm Evol. Comput., 50 (2019).

V. Stanovov, S. Akhmedova and E. Semenkin: LSHADE Algorithm with Rank-Based Selective Pressure Strategy for Solving CEC 2017 Benchmark Problems. 2018 IEEE Congress on Evolutionary Computation (CEC), (2018), 1-8.

V. Stanovov and E. Semenkin: Surrogate-Assisted Automatic Parameter Adaptation Design for Differential Evolution. Mathematics. 11(13) (2023), 2937, https://www.mdpi.com/2227-7390/11/13/2937. https://doi,.org/10.3390/math11132937.


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