ISSN 2224087X (Print) ISSN 22240888 (Online)
Collected scientific papers "Electronics and information technologies"
(In 19662010 published under the title "Electrical engineering")
(Certificate of State Registration ÊÂ ¹176186468ÏÐ from February 11, 2011)
Issue 57 Issue 57, Pages: 311 
A polyphase representation of the signals and the filter srtructures in the multirate informational channels 
V. Geranin, F. Kolokoltsev, L. Pysarenko, G. Rozorinov 
The essence of the discrete signals and basic blocks of multirate informational channels (decimating and interpolating filters) polyphase representation was expanded. Polyphase structure of the filter banks took out the òó÷å part of article. 

Issue 57, Pages: 1218 
Regularization of mathematical macromodels with the help of the second method of Lyapunov 
Ja. Matvijchuk 
Theoretical substantiation of a method for providing the convergence of a solution of mathematical model of an independent system to a given solution with the help of the second method of Lyapunov is considered. The method is illustrated by model of the selfoscillator, for which the conditions of "soft" excitation of oscillations are provided. 

Issue 57, Pages: 1923 
Use of macromodels of multipoles in environment CAD 
B. Mel’nyk, M. Zhovtanets’ky, S. Trokhanyak 
The problem of the use of mathematical macromodels of multipoles in research of electric circuits by means of CAD. The general type of macromodel of dynamic multipole is determined. The requirements are formulated to CAD program building. Approaches of adaptation of macromodel in differents CAD environments. 

Issue 57, Pages: 2430 
Lyapunov diagonal stability of tridiagonal matrices 
V. Odintsova, L. Sinitsky 
Sufficient conditions for Lyapunov diagonal stability of tridiagonal matrices are obtained. Sufficient and necessary conditions are obtaited for 4x4 matrices in the case when the upper and low offdiagonal elements have opposite signs. 

Issue 57, Pages: 3137 
Correct identification of the dynamic prognostic ìacromodels 
Ja. Matvijchuk, V. Pauchok 
The methods of a regularization are applied for parametric identification independent macromodel as a system of the ordinary differential equations on the basis of reduction of approximating base and Tihonov method, and also on a regularization of numerical derivation. The steady models, suitable for the longlived prognoses are obtained. 

Issue 57, Pages: 3849 
Influence of interaction between subcircuits to stability of transient simulation by multirate method 
S. Rendzinyak 
Subcircuit relationships architecture of a multirate method of transient simulation with the help of ideal power sources, and real power sources and sources with additional wattless components on an example of RC ladder is shown. The maximum values of a subcircuit integration step in each case are determined. It is shown, that usage of additional wattless components helps essentially to solve a restriction problem of subcircuit integration step by explicitimplicit difference computing scheme. The obtained results are confirmed by examples of the circuits calculation by some integration methods. 

Issue 57, Pages: 5060 
Synthesis of digital correcting devices of system is "speedspeed" of optical electronic complexes 
I. Zadorogniy, G. Zadorogniy, V. Zadorogniy 
A method of synthesis of digital correcting devices of the management system is offered "speedspeed" optical electronic complex for providing maximal exactness and maximal period of discrete. 

Issue 57, Pages: 6169 
The analysis of a lag of induction motor’s one phase connecting influence on the electromagnetic torque oscillation under starting 
Z. Ludvikovsky, S. Cieslik, O. Plakhtyna 
The influence of a lag of the squirrelcage induction motor’s supply voltage one phase connecting on the limitation of electromagnetic torque oscillation under starting of electric drive have been analyzed in the paper. 

Issue 57, Pages: 7077 
Mathematical model of electromechanical phenomena in a synchronous nonsalient pole generator with respect to eccentricity. Part 1 
M. Kotsyuba, R. Filc 
A mathematical model for calculating transient phenomena in a 3phase synchronous nonsalient pole generator having three rotor contours with respect to eccentricity and an alternating saturation of the magnetic circuit has been introduced. Nonlinearity of electromagnetic relations has been considered. A unique system of integraldifferential equations describing electrical, magnetic, and mechanical conditions has been formed. The distribution of magnetic field has been computed by means of gridpoint method applied to magnetostatic equations in onedimensional application. A solution has been obtained using an implicit procedure of integration. 

Issue 57, Pages: 7885 
Approximation of magnetization curves of electrotechnical steels 
V. Malyar, A. Malyar, D. Gretchyn 
Problems of approach choice for approximation of magnitization curves of electrotechnical steels are considered. A rational methods of splineapproxamation construction are proposed. 

Issue 57, Pages: 8693 
Motion of electron beam in a selfconsistent field of a spherical Pierce gun 
B. Ostudin, A. Romanenko 
The motion of a spacecharged limited beam is numerically simulated. Developed algorithm to solve selfconsistent problems of electronic optics [6], which was built via the integral equation method, has been used to form a heavycurrent electron beam in a spherical Pierce gun [1]. The perveance and beamcrossover region have been calculated. The phase beam characteristics have been built. Based on a rootmeansquare emittance the quantitative estimation of the flow degree orderliness and formation beam quality have been determined. The order dependence of the distribution spacecharged density from the potential has been specified. Obtained results agree well with the gun characteristics. 

Issue 57, Pages: 9498 
Electromagnetic energy of movable media 
V. Tchaban 
There is got the expression of full energy transformation in movable medium in case of free low of velocity changing in time. The formula generalizes known results of movable media electrodynamics. It is received from electromagnetic field vectors equations which are written down for immovable medium, if its space coordinates are depended from time. 

Issue 57, Pages: 99106 
Taking effect electromagnetic force on the shaft of induction motor from the defects in the few bars at the squirrelcage of rotor winding 
M. Yatsun, A. Yatsun, V. Ignatyuk, M. Jevsyuk 
Instantaneous value of electromagnetic force, which is taking effect on the shaft of induction motor from the defects in the few bars at the squirrelcage of rotor winding, has been determined. 

Issue 57, Pages: 107113 
Filament model of discreteinhomogeneous medium for electric field 3D distribution analysis 
Y. Zakharia 
Abstract:A filament model of lossy discrete inhomogeneous medium is considered. For approximation of electrical field distribution along of each filament the discrete wavelet functions are used. Analysis is fulfiled by applying of the discretized integral equation of second kind. Simple examples of analysis are added. 

Issue 57, Pages: 114119 
Approximation of effectiveness factors of functioning for dynamic models of V. M. Glushkov 
O. Gladkivska 
The tasks of identification of one class of dynamic models of V.M. Glushkov are considered. The search of values, which physical contents  metrics of efficiency of operation of simulated systems is carried on. The error functionals are formulated, which minimization gives solution of the task. The estimations of used error functionals are resulted. 

Issue 57, Pages: 120125 
Research of vibrations at presence of dry friction 
L. Sinitsky, T. Javorska 
Parameters of oscillation system are determined in the case for instant trasition through the "dead zone". 

Issue 57, Pages: 126130 
Conditions of recognition of the correlated images of a Hopfield network 
V.M. Mandzij, Z.M. Lubun 
In the robot relation of capacitance of a network to a degree of correlation written to a network of associative memory of the images analytically is deduced. Influencing a degree of correlation on process of recognition is rotined. The formula for maximum quantity of the images, written to a network is deduced The reduced conclusions are checked with the help of of modulating program. The outcomes of simulation have confirmed obtained conditions of recognition of the correlated images. 

Issue 57, Pages: 131137 
Localization of the faults in nonlinear DC circuits 
V. Rabyk 
The multistep method of localization of faults is offered in nonlinear DC circuits. Topology conditions are considered for determination of elements the faults of wich can be localized. The example of multistep method of localization of faults is presented for the circuits of 2²ÍÅ element. 

Issue 57, Pages: 138144 
Continuous model of digital PLL in the case of existence of sliding motion 
I. Romaniv, L. Sinitsky 
The timecontinuous model of the secondorder PLL without averaging is investigated. There has been carried out the analysis of such a system for different changes of input phase. Conditions of existence of sliding motion are deduced. Phase trajectories of sliding motion are obtained. A condition of existence of this motion is indicated. 

Issue 57, Pages: 145152 
Calculation of the weak skineffect in a round section ferromagnetic conductor 
I. Romanyshyn, L. Synytsky 
Iterative procedure for construction sequential approximation to steady state solution of parabolic partial differential equation with a small parameter at derivative on time is considered. This procedure is applied to the analysis of skineffect in a round ferromagnetic conductor. On each iteration as the stationary solution of the parabolic equation is accepted a solution of the ordinary differential equation. Good agreament with exact solution in the case when μ = const permits to assert the effectiveness of the method for calculation for ferromagnetic conductor in the case of weak skineffect. In the case of the nonlinear problem exactness of the method was confirmed by comparing with numerical solution. 

Issue 57, Pages: 153158 
Methods of synthesis of generators with many periodic modes, with different frequencies and change of the form of oscillations 
L. Sinitsky, Y. Shmygelsky 
The methods of synthesis of mathematical models of oscillators are considered, in which there can be some periodic modes. On examples of systems of the second order is shown, as it is possible to receive generators with many harmonic modes, which differ by frequencies and amplitudes of oscillations and also generators with many nonsinusoidal waves modes. 

Issue 57, Pages: 159172 
The system analysis, modelling and optimisation of securing processes of quality radioelectronic devices 
L. Nedostup, M. Kyselychnyk, Y. Bobalo, O. Lazko 
The paper discusses conceptual questions of modeling and optimizing of quality providing processes. It is accepted in attention technical and economic aspects of the process of modeling. Technological process is presented as complex system which is characterized by ensemble a stream defects. Formalizations of the technological process are cited an instance. It is considered principles of the shaping additive and multiplicative defective forming. 

Issue 57, Pages: 173179 
Influence of constant time of anodic loading of the photoelectronic multiplier on registration of pulse optical signals 
V. Getman 
The method of definition of the form of a target signal of the photoelectronic multiplier is developed at a known entrance optical signal. The existence of optimum constant time of loading of the photoelectronic multiplier is established at registration of pulse optical signals. 

© Ivan Franko National University of Lviv, 2011
Developed and supported  Laboratory of high performance computing systems
