The use of orthogonal components (OC) underlies the construction measuring elements modern protection and automation devices. In most microprocessor-based protections, component input signal is extracted using a discrete Fourier transform (DFT). DFT disadvantages are its low speed, which more than one period fundamental frequency, as well sensitivity to free aperiodic component, creates signifi...

Electrical circuits are systems that can be described in different ways using differential equations of first, second and upper order. A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. The theory of dynamical systems puts emphasis on qualitative analysis of ...

In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroidis equivalent to a mapping which satisfies the basis ...

This paper aims to develop and analyze an effective parallel algorithm for multiplying polynomials and power series with integer coefficients. Such operations are of fundamental importance when generating parameters for public key cryptosystems, whereas their effective implementation translates directly into the speed of such algorithms in practical applications. The algorithm has been designed...

A broadband Circuit Analogue (CA) absorber using double-circular-loop array is investigated in this paper. A simple equivalent circuit model is presented to accurately analyze this CA absorber. The circuit simulation of the proposed model agrees well with full-wave simulations. Optimization based the equivalent circuit model, is applied to design a single-layer circuit analogue absorber using d...

A graph is crossing-critical if the removal of any of its edges decreases its crossing number. This work is motivated by the following question: to what extent is crossingcriticality a property that is inherent to the structure of a graph, and to what extent can it be induced on a noncritical graph by multiplying (all or some of) its edges? It is shown that if a nonplanar graph G is obtained by...