A class of graphs with circulant blocks, i.e. graphs which can be decomposed into circulant subgraphs, is considered. A closed form formula for eigenvalues of the decomposed graph in terms of eigenvalues of partition ...
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A class of graphs with circulant blocks, i.e. graphs which can be decomposed into circulant subgraphs, is considered. A closed form formula for eigenvalues of the decomposed graph in terms of eigenvalues of partition subgraphs is given. Decomposition into two layer graph is distinguished as the most computationally effective case. A formula for counting spanning trees in graphs with circulant blocks, based on eigenvalues, is introduced. Illustrative examples test the method.< >
The method for consistent adjoint simulation of various electrical systems (e.g., lumped or distributed circuits, power systems) is introduced in the paper. Sensitivities of any function of system variables are obtain...
This paper presents a topologically based theoretical background for designing tests for identification of faulty parameter values in linear subnetworks. Nodal voltages are assumed t o be obtainable either by measurem...
This paper presents a topologically based theoretical background for designing tests for identification of faulty parameter values in linear subnetworks. Nodal voltages are assumed t o be obtainable either by measurements or, indirectly, as a result of a nodal fault analysis. A formulation of nodal fault analysis for subnetworks is presented. It is shown how this approach can be used to evaluate faulty elements within inaccessible faulty subnetworks. The objective of this work is the reduction of the number of required current excitations and, thereby, the number of voltage measurements. The Coates flow-graph representation of a network is used.
Using a second-order circuit model the complex dynamical behavior of a typical Josephson-junction circuit is rigorously analyzed using integral manifolds. The key idea is to prove that under certain small-parameter as...
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Using a second-order circuit model the complex dynamical behavior of a typical Josephson-junction circuit is rigorously analyzed using integral manifolds. The key idea is to prove that under certain small-parameter assumptions, the nonautonomous circuit has a stable integral manifold. Moreover, this manifold is doubly periodic so that steadystate behavior of the Josephson-junction circuit reduces to the analysis of its dynamics on a torus. Well-known experimental phenomena, such as the existence of hysteresis in the dc Josephson circuit and voltage steps in the ac Josephson circuit, are rigorously derived and explained.
A thin-film capacitance humidity sensor, fabricated using typical planar MOS technology, is described. The device responds to reversible changes in the surface conductance of a thin dielectric film deposited over plan...
A thin-film capacitance humidity sensor, fabricated using typical planar MOS technology, is described. The device responds to reversible changes in the surface conductance of a thin dielectric film deposited over planar interdigitated electrodes. Interelectrode capacitance measurements in the frequency range 1 – 100 kHz showed an accuracy of 7% of relative humidity over the range 17% – 65% relative humidity, and better accuracy at higher humidities, the accuracy being limited primarily by hysteresis. A theoretical model of device operation based on distributed RC transmission lines, in which the moisture-dependent surface conductance serves as the only conductive path, is presented. It is found from experiment, and confirmed with the model, that the interelectrode region is less useful for moisture meaurement than the region of the dielectric surface directly over the electrodes. This observation is then used as the basis of modified sensor designs, both for improved incremental sensitivity and for increased range of useful operation.
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