Dr Iwona Mróz wins the “Excellent Science 2” competition

We are very pleased to announce that a grant to publish a scientific monograph “Electronic analogs of supercapacitance (FDNC) and superinductance (FDNR)” was awarded to Lech Tomawski and Iwona Mróz.

The first author of the book, professor Lech Tomawski, is an electronics engineer and a retired professor of the University of Silesia. Dr Iwona Mróz represents the Faculty of Physics and Astronomy UWr.

The grant was awarded as part of the “Excellent Science 2 – Support for scientific monographs” competition announced by the Ministry of Science and Higher Education.

The authors of the book say:

In the book we presented the results of computer simulations of all the first- and second-order electronic binaries that can be derived from Generalised Impedance Converters (GIC) associated with the name Andreas Antoniou. We tested 72 electronic capacity analogs, 48 inductance analogs, 72 supercapacitance analogs, and 24 superinductance analogs. In total 216 systems, of which 25% were operating steadily. By design, we assumed testing all the 216 systems, i.e. we also tested those systems that did not qualify as “working well”. Thus, we isolated a group of systems showing some characteristics of chaotic systems (in the supercapacitor group).

The Polish name supercapacitance, acronym FDNC (Frequency Dependent Negative Conductance), denotes the negative conductance depending on the square of the pulsation. Two FDNC analogs were first used by L.T. Bruton in the construction of low-pass induction-free filter. By analysing this filter we have developed a simpler method of designing low-pass filters.

The name superinductance, acronym FDNR (Frequency Dependent Negative Resistance), denotes the negative resistance depending on the square of the pulsation. The negative resistance of a FDNR system can neutralize the positive loss resistance of the test sample in physical measurements and increase the measurement capabilities of the apparatus (e.g., a resonant bridge to measure the inductance of a medium with a high loss factor). A detailed study of the parasitic inductance of five stable FDNR systems made it possible to design 10 unknown generators (5 excited according to von Wangenheim and 5 excited according to Senani).

The negative conductance of a FDNC analog combined with the classic zero-order conductance forms a resonant circuit. Similarly, the negative resistance of a FDNR analog forms a resonant circuit with the usual zero-order resistance. These are different resonant circuits than the commonly known LC circuit because the admittances/impedances of zero-order bifurcations (conductances and resistances), as well as second-order bifurcations (FDNC and FDNR), are described by real numbers, not imaginary numbers. In the manuscript of the book we paid a lot of attention to resonant circuits in the broad sense.

We developed a method, taken from previous publications, for transforming RLC circuits into so-called “resonant equivalent diagrams”. They only consist of bifurcations, although in a transformed system there may be more bifurcations than in the original system, and they may be both RLC bifurcations as well as higher level bifurcations. The advantage of resonant equivalent diagrams is that all the resonant frequencies of the output RLC circuit can be determined. Using LabVIEW software, we developed a way to represent resonant equivalent diagrams on a complex plane.