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The paper is focused on the exact analysis of the frequency splitting and bifurcation phenomena in the wireless power transfer (WPT) systems with series-parallel, parallel-series and parallel-parallel resonators. Starting from the analysis in sinusoidal behavior of a WPT system we build, using the algebraic equation theory, the exact splitting mathematical model for any connection of the WPT systems...
The paper treats the wireless power transfer systems with series-series resonators from the point of view of the frequency splitting and bifurcation phenomena. We develop an exact mathematical model of the splitting phenomena (splitting equation) based on the algebraic equation theory, which allows finding exact values of the splitting frequencies. This is extremely useful to setup the magnetic coupling...
Voltage controlled microwave oscillators are used in digital communication systems. Pairs of coupled and synchronized voltage controlled oscillators are used to control the phase in microwave antenna arrays as an alternative to other methods. A particular phase shift can be obtained by choosing the free-running frequencies of the oscillators in the array. The aim of this paper is to analyze such a...
An improving efficient algorithm for generation of the state equations in full symbolic, partly symbolic or numeric normal-form is presented. This algorithm has been implemented in a program — called SYSEG — SYmbolic State Equation Generation. The program allows the formulation of symbolic state equations without any inverse of a symbolic matrix, and, by cancellation and simplification of the expressions...
The paper is focused on a useful application related to our optimization technique of the arrays of coupled oscillators at millimeter-wave frequencies, a pair of voltage-controlled oscillators coupled through a two-port passive network being treated. A distinct section of the paper is focused on a method to estimate unknown circuit parameters starting from measurements performed on the real system,...
The paper presents the performance optimization in wireless power transfer. The power transfer efficiency is selected as objective function and an appropriate frequency space representation is used by means of the desired performance quantity generated in full symbolic form. This is combined with some computations performed on the real system and an optimization algorithm for some scalar and/or vector...
Beam steering using the synchronization has been highly studied in systems of oscillators. Thus the techniques used to analyze and understand the behavior of coupled microwave oscillators advanced. A new approach to analyze such systems based on the state-space representation is introduced in the paper. A very efficient method implemented on computer to automatically formulate the state equations...
This paper presents a new software which can generate in full-symbolic or numeric-symbolic form the Y, Z, H, and fundamental parameters of a two-port structure. Our procedure can also determine all the resonant frequencies of any two-port configuration as functions of the two-port circuit parameters. The procedure is based on the modified nodal equations in full-symbolic form. A new software called...
New tearing techniques for the systematic formulation of the state equations in symbolic normal-form for linear and nonlinear time-invariant large-scale analog circuits are developed. Some examples are given to illustrate the decomposition procedure and the assignment of the connection sources. The partial symbolic state equations of the opamp μA 741 are obtained using the tearing approach, while...
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