Abstract
An evolutionary method for the synthesis of impedance matching networks is proposed. The algorithm uses a coding scheme based on the graph adjacency matrix to represent the topology and component values of the circuit. In order to generate realistic solutions the sensitivities of the network parameters are accounted for during the synthesis process. To this end a closed form expression for the Transducer Power Gain sensitivity with respect to the component values of LC lossless matching networks is derived, in such a way that the effects of the components tolerance on the matching network performance can easily be quantified. The evolutionary algorithm efficiency is tested in the synthesis of an impedance matching network and the results are compared with other methods found in the literature.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Balabanian, N., Bickart, T.A., Seshu, S.: Electrical Network Theory. John Wiley & Sons, Chichester (1969)
Fano, F.M.: Theoretical limitations on the broadband matching of arbitrary impedances. J. Franklin Inst. 249, 57–83 (1950)
Youla, D.C.: A new theory of broadband matching. IEEE Trans. Circuit Theory CT-11, 30–50 (1954)
Carlin, H.J.: A New Approach to Gain-Bandwidth Problems. IEEE Trans. on Circ. and Syst. 24(4) (April 1977)
Carlin, H.J., Yarman, B.S.: The Double Matching Problem: Analytic and Real Frequency Solutions. IEEE Trans. on Circ. and Syst. 30(1) (April 1983)
Koza, J., Bennett, F.H., Andre, D., Keane, M.A.: Genetic Programming III. Darwinian Invention and Problem Solving. Morgan Kaufmann, San Mateo (1999)
Lohn, J.D., Colombano, S.P.: A Circuit Representation Technique for Automated Circuit Design. IEEE Trans. Evol. Comp. 3(3), 205–219 (1999)
Grimbleby, J.B.: Automatic analogue circuit synthesis using genetic algorithms. IEE Proc. Circuits Devices Syst. 147(6), 319–323 (2000)
Damavandi, N., Safavi-Naenini, S.: A Hybrid Evolutionary Programming Method for Circuit Optimization. IEEE Trans. Circ. and Syst. I 52(5) (May 2005)
Mesquita, A., Salazar, F.A., Canazio, P.P.: Chromosome representation through adjacency matrix in evolutionary circuits synthesis. In: Proc. of the NASA/DoD Conference on Evolvable Hardware, pp. 102–109 (2002)
Nelder, J., Mead, R.: A Simplex Method for Function Minimization. Computer Journal 7, 308–311 (1965)
Daryanani, G.: Principles of Active Network Synthesis and Design. John Wiley & Sons, Chichester (1980)
Vlach, J., Singhal, K.: Computer Methods for Circuit Analysis and Design, 2nd edn. Van Nostrand Reinhold (1994)
Swamy, M.N.S., Thulasiraman, K.: Graphs, Networks and Algorithms. John Wiley & Sons, Chichester (1981)
Chang, S., Hou, H., Su, Y.: Automated Passive Filter Synthesis Using a Novel Tree Representation and Genetic Programming. IEEE Trans. Evol. Comp. 10(1), 93–100 (2006)
Greenwood, G.W., Tyrrell, A.M.: Introduction to Evolvable Hardware – A Practical Guide for Designing Self-Adaptive Systems. Wiley Interscience, Hoboken (2007)
Zebulum, R.S., Pacheco, M.A.C., Vellasco, M.M.B.R.: Evolutionary Electronics - Automatic Design of Electronic Circuits and Systems by Genetic Algorithms. CRC Press, Boca Raton (2001)
Smith, A.E., Coit, D.W.: Handbook of Evolutionary Computation. In: De Jong, K., Fogel, L., Schwefel, H. (eds.) C.5.2 (1997)
Vieira, P.F., Sa, L.B., Botelho, J.P.B., Mesquita, A.: Evolutionary synthesis of analog circuits using only MOS transistors. In: Proc. of the 2004 NASA/DoD Conference on Evolvable Hardware, pp. 38–45. IEEE Computer Press, USA (2004)
Rodríguez, J.L., García-Tuñon, I., Tabeada, J.M., Basteiro, F.O.: Broadband HF Antenna Matching Network Design Using Real-Coded Genetic Algorithm. IEEE Trans. Antennas Propag. 55(3) (March 2007)
Carlin, H.J., Amstutz, P.: On optimum broadband matching. IEEE Trans. Circuits and Syst. CAS-28, 401–405 (1981)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Sá, L.B., da Fonseca Vieira, P., Mesquita, A. (2010). Automatic Synthesis of Lossless Matching Networks. In: Tempesti, G., Tyrrell, A.M., Miller, J.F. (eds) Evolvable Systems: From Biology to Hardware. ICES 2010. Lecture Notes in Computer Science, vol 6274. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15323-5_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-15323-5_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15322-8
Online ISBN: 978-3-642-15323-5
eBook Packages: Computer ScienceComputer Science (R0)