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Accuracy of Discrete Markov Approximation in the Problems of Estimation of Random Processes Characteristics

Ulan BRİMKULOV | Çinara CUMABAYEVA | Kasım BARIKTABASOV

Many computational algorithms related to Markov processes contain the covariance matrix of measurements. Approximation of covariance matrix of measurements of observed random process by the covariance matrix of Markov process is of great interest. Because it gives an opportunity to develop computationally efficient algorithms for analysis of Markov processes (parametric identification, filtering, interpolation and others). This paper presents the algorithm of approximation of the covariance matrix of the observed process by the covariance matrix of a multiply connected (m-connected) Markov p ...More

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Interference filter with amorphous silicon layer and direct laser recording on it

Zamirgül KAZAKBAYEVA

The interference spectral filters with amorphous silicon layer deposited by magnetron sputtering on the reflective metal layer on a glass substrate are developed. Interference filter select from white light source components corresponding to quasimonochromatic wavelength with a narrow bandwidth. The thickness of the amorphous silicon layer determines the center wavelength of the pass band of the filter. It proposed to use interference filter with amorphous silicon layer for direct laser recoding on it. Results on direct laser recording on amorphous silicon layer of the interference filter by s ...More

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A power system transient state estimation method based on Kalman filtering = Güç Sistemleri için Kalman Süzgecine Dayalı Bir Geçici Durum Kestirim Yöntemi

Mehmet KARADENİZ

On a power network, events are desired to be monitored to discover their reasons and to take preventive actions. Today, phase measurement units are used to obtain transient data of network, however these devices are expensive and it is not considered as a practical option to place one on each node of the network. Therefore, methods of estimating voltages and currents at non-measured points of the network are required. In this study, a special first-order Kalman Filter is introduced and transients on a power network connected by short lines are estimated using only line parameters. Simulation r ...More

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Matrices Whose Inverses are Tridiagonal, Band or Block-Tridiagonal and Their Relationship with the Covariance Matrices of a Random Markov Process

Ulan BRİMKULOV

The article discusses the matrices of the form A(n)(1), A(n)(m), A(N)(m), whose inverses are: tridiagonal matrix A(n)(-1) (n - dimension of the A(N)(-m) matrix), banded matrix A(n)(-m) (m is the half-width band of the matrix) or block-tridiagonal matrix A(N)(-m) (N = n x m - full dimension of the block matrix; m - the dimension of the blocks) and their relationships with the covariance matrices of measurements with ordinary (simple) Markov Random Processes (MRP), multiconnected MRP and vector MRP, respectively. Such covariance matrices frequently occur in the problems of optimal filtering, ext ...More

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A Kalman Filter Based Transient State Estimation Method Applicable to Whole or Specific Region of Power Systems Having Known and Unknown Loads

Mehmet KARADENİZ

On a power network, events are desired to be monitored to find its reasons and to take preventive action. Today, power quality measurement devices are used to obtain synchronous measurement data of network, however these devices are expensive and it is not considered a practical option to place one on each node of the network. Therefore, methods estimating voltages and currents at non-measured points of the network are required. In this study, a new power system transient state estimation method is designed to estimate transientsin a power network in which some of the loads are unknown. By thi ...More

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