this paper presents as a brief introduction , the basic principles of matrix algebra for an alysing the power system problems with digital computers. the material contained in the text are as follows: primitive network, topology of electrical network, transformation of coordinates, bus admittance and bus impedance matrix.

the well-known electro-mechanical analogy that equates current, voltage, resistance, inductance and capacitance to force, velocity, damping, spring constant and mass has a shortcoming in that mass can only be used to simulate a capacitor which has one terminal connected to ground. a new model that was previously proposed by the authors that combines a mass with a pulley (mp) is shown to simulat...

The impedance matrices of independent point fingers of a multifingered gripper map to the impedance matrix of a grasped workpart. We find that in a planar geometry, three fingers are enough to allow an unrestricted range of workpart impedances, if finger impedances are selectable. In a spatial geometry however, five fingers are necessary for the broadest range of workpart impedances, and even s...

Title of Dissertation: STATISTICS OF IMPEDANCE AND SCATTERING MATRICES IN CHAOTIC MICROWAVE CAVITIES: THE RANDOM COUPLING MODEL Xing Zheng, Doctor of Philosophy, 2005 Dissertation directed by: Professor Edward Ott Professor Thomas M. Antonsen, Jr. Department of Physics A model is proposed for the study of the statistical properties of the impedance (Z) and scattering (S) matrices of open electr...

The nodal admittance matrix (NAM) expansion is used to generate the voltage generalized impedance converter (VGIC) and the current generalized impedance converter (CGIC) with both A and D of the transmission matrix (T ) being negative. Simulation results are included.

A new boundary condition is introduced to calculate the effective impedance matrix of semi-infinite periodic structures such as photonic crystals and metamaterials, which leads to a reduction of the solution space. The obtained effective impedance matrix allows one to relate a matrix to a PC, which includes all of its properties in terms of reflection from its interface. For one-dimensional pho...

Statistical fluctuations in the eigenvalues of the scattering, impedance, and admittance matrices of two-port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These fluctuations are universal in that their properties are dependent only upon the degree of loss in the cavity. We remove the direct processes introduced by the nonideally coupled driving ports through...

This paper provides a comparative analysis of impedance models for power electronic converters and systems for the purpose of stability investigations. Such models can be divided into either decoupled models or matrix models. A decoupled impedance model is highly appealing since the Single-InputSingle-Output (SISO) structure makes the analysis and result interpretation very simple. On the other...

A new frequency response based model reduction technique is presented for use in the mid-frequency range. The reduction was designed to avoid the use of modal based correlation metrics, which are known to fail in systems with high modal density. A transformation matrix based on a set of complex shapes extracted from the frequency response is used to reduce the impedance matrix to the sensor loc...