### Algorithms and programs for analysis and synthesis devices based on distributed and lumped circuits

#### Abstract

An algorithm and programs for analysis and synthesis of devices based on distributed and lumped circuits are described. The analysis algorithms are based on the decomposition of device designs represented by circuits with distributed parameters and circuits with lumped parameters. Mathematical models of distributed circuits represent the result of solving telegraphic equations, depending on the system of per unit length parameters and structural dimensions of the object of research. Coupled strip lines are taken as an example of such an object. Mathematical models of lumped circuits are built on the basis of Kirchhoff's equations. Decomposition of the devices under consideration allows us to construct an algorithm for analyzing the frequency characteristics of distributed and lumped circuit’s blocks independently of each other. At the same time, the inverse problem of determining the equivalent impedance of lumped circuits was posed and solved to obtain the specified device parameters, provided that the parameters of the distributed circuits are known. As a result, an algorithm for synthesizing a device with a specified frequency dependence of its parameters was constructed. An algorithm for recomposing a device from separately considered parts in the form of distributed and lumped circuits has been proposed and implemented. The developed analysis and synthesis algorithms served as the basis for the development of a set of programs for the analysis and synthesis of devices with specified frequency characteristics.

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Sychev A.N., Bondar V.A., Dagba K.B.-B., Stepanyuga A.I., Rudyi N.Y. “Theory of Doubly-Shielded Coupled Lines for Directional Couplers of Various Directivity Types with Impedance Transformation”. IEEE Transactions on Microwave Theory and Techniques. Volume 71, Issue 5, May 2023, pp. 2104-2117. DOI:10.1109/TMTT.2022.3227310.

Surovtsev R.S., Kenzhegulova Z.M. Analytical models of the time response of stripline devices with modal phenomena. Tomsk: Publishing house Tomsk State University of systems control and radio electronics, 2023. – 172 p.

Zhechev Y.S., Zabolotsky A.M., Gazizov T.R.. Quasi-static analysis of a two-conductor modal filter with a thin passive conductor, Journal of Physics: Conference Series. 2021. Vol. 1862, no. 1. – P. 012016.

Automated design of microwave devices: scientific publication /

V.V. Nikolsky [et al.]; ed. V. V. Nikolsky. M.: Radio and communication, 1982. 271 p.

Nikolsky V.V., Nikolskaya T.I. Decomposition approach to problems of electrodynamics. M.: Nauka, 1983. 304 p.

Konishi Y., Awai I., Fukuoka Y. and Nakajima M., “A directional coupler of a vertically installed planar circuit structure,” IEEE Transactions on Microwave Theory and Techniques, 1988, vol 36, No. 6, pp. 1057–1063.

Sychev A.N., Struchkov S.M., Rudyi N.Y. and Salnikov A.S., “Modeling of the vertically installed planar coupled lines by the numerical conformal transformation technique,” IEEE MTT-S Int. Conf. on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2017, pp. 124–126.

Sychev A.N., Struchkov S.M., Putilov V.N. and Rudyi N.Yu., “A novel trans-directional coupler based on vertically installed planar circuit,” in Proc. of the 45th Eur. Microw. Conf., 2015, pp. 283–286.

Malyutin N.D., Sychev A.N., Semenov E.V. and Loschilov A.G., Regular and irregular multiconnected strip and wire structures and devices based on them: analysis, synthesis, design, extraction of primary parameters. Tomsk: Tomsk State University of Control Systems and Radioelectronics, 2012. 168 p.

Malyutin N.D., Sychev A.N., Semenov E.V. and Loschilov A.G., Regular and irregular multiconnected strip and wire structures and devices based on them: calculation of primary parameters, pulse measurements of characteristics. Tomsk: Tomsk State University of Control Systems and Radioelectronics, 2012. 218 p.

Fusco V. Microwave circuits. Analysis and computer-aided design. Radio and communication, 1990, 288 p.

Malyutin G.A., “Optimization of the algorithm for calculating strip structures using the grid method,” Electronic means and control systems. Materials of reports of the International Scientific and Practical Conference, 2021, No. 1-1, p. 100–103.

Feldshtein A.L., Yavich L.R. Synthesis of four-terminal and eight-terminal networks at microwave frequencies. M.: Svyaz, 1971. 352 p.

Sychev A.N., Rudy N.Yu., “Parameters of asymmetrical coupled lines with an inhomogeneous dielectric,” Reports of the Tomsk State University of Control Systems and Radioelectronics, 2018, Vol. 21, No. 4-1, p. 7–15, doi: 10.21293/1818-0442-2018-21-4-1-7-15.

Ilyin A.A., Malyutin N.D., Misyunas A.O. and A.G. Loschilov, “Synthesis of the topology of pulse-forming devices with given spectral characteristics based on irregular relief coupled microstrip lines,” Reports of the Tomsk State University of Control Systems and Radioelectronics, 2010, No. 2-1(22), p. 7–19.

Malyutin N.D., Loschilov A.G., Ilyin A.A., Malyutin A.N. and Bolshanin I.V., “Algorithms for the synthesis of devices based on irregular coupled strip lines according to given frequency characteristics,” Reports of the Tomsk State University of Control Systems and Radio Electronics, 2011, No. 1(23), p. 188–195.

Chepko T.A., Chin T.T. and Malyutin G.A., “Solution to the problem of synthesizing the frequency response of an RLC circuit of a non-reflective type filter based on coupled strip lines,” Collection of selected articles of the TUSUR scientific session, 2023, No. 1-1, p. 207–210.

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