In this study, a three-dimensional continuum percolation model was developed based on a Monte Carlo simulation approach to investigate the percolation behavior of an electrically insulating matrix reinforced with conductive nano-platelet fillers. The conductivity behavior of composites rendered conductive by randomly dispersed conductive platelets was modeled by developing a three-dimensional f...

Resistor Network Approaches to the Numerical Solution of Electrical Impedance Tomography with Partial Boundary Measurements

We study the multifractal spectrum of the current in the two-dimensional random resistor network at the percolation threshold. We consider two ways of applying the voltage difference: (i) two parallel bars, and (ii) two points. Our numerical results suggest that in the infinite system limit, the probability distribution behaves for small i as P(i) approximately 1/i, where i is the current. As a...

We consider the critical properties of the two-point resistance and its fluctuations due to microscopic noise in a randomly diluted resistor network near the percolation threshold pc. We introduce a n×m replicated Hamiltonian in order to treat separately the configuration average over the randomly occupied bonds denoted [ ]av and the average over probability distribution function of the fluctua...

In this paper, a real-time demodulation of real power oscillations in a three phase electric power system is proposed. It is shown how demodulated real power oscillations can be used to formulate a low order state space model that models power oscillations. The procedure is illustrated on the measurements obtained from three phase Resistor-Inductor-Capacitor (RLC) network where the power oscill...