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The set of current loop equations associated with the tie sets of the original graph and tree is identical to the set of voltage node-pair equations associated with the cut sets of the dual graph. [40] The following table lists dual concepts in topology related to circuit theory. [41] Figure 2.5. The dual graph of the graph in figure 2.2.
Besides being a model of certain types of electric networks, these graphs are of interest in computational complexity theory, because a number of standard graph problems are solvable in linear time on SP-graphs, [7] including finding of the maximum matching, maximum independent set, minimum dominating set and Hamiltonian completion.
The solution principles outlined here also apply to phasor analysis of AC circuits. Two circuits are said to be equivalent with respect to a pair of terminals if the voltage across the terminals and current through the terminals for one network have the same relationship as the voltage and current at the terminals of the other network.
Circuit topology uses a similar language to categorise both "soft" and "hard" contacts, and provides a full description of a folded linear chain. In this framework, a "circuit" refers to a segment of the chain where each contact site within the segment forms connections with other contact sites within the same segment, and thus is not left ...
Diakoptics was explained in terms of algebraic topology by J. Paul Roth. [3] [4] [5] Roth describes how Kirchhoff's circuit laws in an electrical network with a given impedance matrix or admittance matrix can be solved for currents and voltages by using the circuit topology.
By that reasoning, Miami’s playoff hopes are toast barring an unexpected blowout loss for a team like Penn State or Georgia in their conference title games on Saturday that somehow drops one or ...
Multiple feedback topology circuit. Multiple feedback topology is an electronic filter topology which is used to implement an electronic filter by adding two poles to the transfer function. A diagram of the circuit topology for a second order low pass filter is shown in the figure on the right.
The Detroit Lions have taken away a fan's season tickets after he was involved in a verbal altercation with Green Bay Packers coach Matt LaFleur.