1,721,079 research outputs found
A new algorithm detecting all branches of driving point characteristics in PWL resistive circuits
No full textCapturing all Branches of Any One-Port Characteristic in Piecewise-Linear Resistive Circuits
No full textAn algorithm to capture all the unicursal branches of any one-port
characteristic in piecewise-linear (PWL) resistive circuits is described. The
heart of this algorithm is based on the so-called polyhedral augmented circuits:
they are constructed by replacing each PWL element by a suitable polyhedral
element and by connecting a norator to the one-port. The structure of the algorithm
is based on a genealogical tree, whose nodes represent specific polyhedral augmented
circuits. All branches of the PWL one-port characteristic can be captured by checking
the solution domains of these circuits. from the numerical point of view,
the investigation of the nodes requires the execution of related Linear Programming
(LP) problems, one for each node. However, the similar structure of their tableaux
allows the reduction of the overall CPU time
A Fast and Simple Method to Find All Equilibrium Points of Dynamic 1D Arrays
No full textA very fast and simple algorithm for finding all equilibrium points of
dynamic 1-dimensional (1D) arrays, constituted by resistively-coupled dynamic
piecewise-linear cells (for example, oscillators) is presented. This algorithm
is based on the recursive construction of a uni-path - characteristic
derived from the associated resistive array, obtained by opening the capacitors
and shortening the inductors within dynamic cells. Some examples show the
efficiency of the algorithm. About 30,000 equilibrium points of a
100-cell array are determined within a few seconds with a common PC
Two-port ideal power transferitors: a unified introduction to ideal transformer and gyrator
No full textA unified approach to ideal transformer and gyrator is proposed. They are presented as the only two ports belonging to the class of ideal power transferitors, i.e., the only two ports that absorb instantaneous power from one port and supply the same amount of instantaneous power from the other port. By exploiting the transmission matrix, this approach evidences similarities and differences between the two well-known two ports pointing out that other two-port ideal power transferitors cannot exist
Polyhedral Elements: a New Approach for Capturing All the Equilibrium Points of Piecewise-Linear Circuits
No full textAn entirely new algorithm to find all the equilibrium points of
piecewise-linear (PWL) circuits is presented. To this aim, the new class
of the so-called polyhedral circuits, associated to the PWL ones, are defined
by replacing the PWL elements with the polyhedral elements. The algorithm is
structured as a genealogical tree, whose nodes represent specific polyhedral
circuits. All the equilibrium points of the original PWL circuit can be
captured by the analysis of these nodes. This analysis requires the solution
of the Phase I of Linear Programming (LP) problems, one problem for each node.
An example shows the capabilities of this algorithm
Capturing All Admissible Linear Regions for Fastening Simulation of Piecewise-Linear Dynamic Circuits
No full text
Capturing all the DC solutions of the PWL resistive circuits by means of the polyhedral components
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