V.S. Panko – Ph.D. (Eng.), Associate Professor, Siberian Federal University (Krasnoyarsk)

E-mail: vpanko@sfu-kras.ru

K.V. Lemberg – Ph.D. (Phys.-Math.), Associate Professor, Siberian Federal University (Krasnoyarsk) E-mail: klemberg@sfu-kras.ru

Y.P. Salomatov – Ph.D. (Eng.), Professor, Head of Department, Siberian Federal University (Krasnoyarsk) E-mail: ysalomatov@sfu-kras.ru

A way for determining the complex impedance of an arbitrary load is described. A load is supposed to be connected to a transmission line. It is shown by means of Smith chart that two measurements of the reflection coefficient modulus are sufficient for a  determination of impedance. Then the known active resistance is to be connected in series to the load and the measurement is  repeated. Formulas are given that allow us to calculate the complex impedance from the data obtained by measurements.

1. Dutta Roy S.C. Characteristics of Single- and Multiple-Frequency Impedance Matching Networks // IEEE Trans. Circuits and Systems - II: Express Briefs. March 2015. V. 62. № 3. P. 222–225.
2. Shin J., Morris A., Steel V. Unveiling the potential of antenna tuners // 9th European Conference on Antennas and Propagation (EuCAP). 2015.
3. Meyjzda F. Ehlektronnihe izmeriteljnihe priborih i metodih izmereniyj: Per. s angl. M.: Mir. 1990. 
4. Pat. 2 214 609 C2 RF. Sposob izmereniya sostavlyayuthikh kompleksnogo soprotivleniya dvukhpolyusnika i napryazheniya na nem. Andryushaev A.M., Baranov V.A. i dr. Opubl. 20.10.2003. Byul. № 29. 
5. Pat. 2 260 809 RF. Sposob opredeleniya parametrov dvukhpolyusnika. Dolgov B.K., Balakin S.V. Opubl. 20.09.2005. Byul. № 26. 
6. Callegaro L., D’Elia V., Ortolano M., Pourdanesh F. A Three-Arm Current Comparator Bridge for Impedance Comparisons Over the Complex Plane // IEEE Trans. Instrum. Meas. June 2015. V. 64. № 6. P. 1466–1471.
7. Ali S.M., Buckley M., Deforge J., Warden J., Danak A. Dynamic Measurement of Complex Impedance in Real-Time for Smart Handset Applications // IEEE Tran. Microw. Theory Tech. September 2013. V. 61. № 9. P. 3453–3460.
8. Lai L., Feng J., Shi L. Quasi-Balance Four-Terminal Resistance Bridge // IEEE Trans. Instrum. Meas. June 2015. V. 64. № 6. P. 1636–1641.
9. Smit F. Krugovihe diagrammih v radioehlektronike. (Linii peredachi i ustroyjstva SVCh): Per. s angl. M.: Svyazj. 1976. 
10. Panjko V.S., Salomatov Yu.P. Dvukhchastotnoe soglasovanie kompleksnihkh nagruzok s pomothjyu dvoyjnogo G-zvena // Vestnik Sibirskogo gosudarstvennogo aehrokosmicheskogo universiteta. 2007. № 3(16). S. 106–109.