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Full Graph Methods of Switched Current Circuit Solution



Author(s)

Bohumil Brtník

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DOI:10.17265/1934-7332/2011.06.007

Department of the Electronics and Informatics, College of Polytechnics, Jihlava 58601, Czech Republic

Circuits with switched current are described by an admittance matrix and seeking current transfers then means calculating the ratio of algebraic supplements of this matrix. As there are also graph methods of circuit analysis in addition to algebraic methods, it is clearly possible in theory to carry out an analysis of the whole switched circuit in two-phase switching exclusively by the graph method as well. For this purpose it is possible to plot a Mason graph of a circuit, use transformation graphs to reduce Mason graphs for all the four phases of switching, and then plot a summary graph from the transformed graphs obtained this way. First the author draws nodes and possible branches, obtained by transformation graphs for transfers of EE (even-even) and OO (odd-odd) phases. In the next step, branches obtained by transformation graphs for EO and OE phase are drawn between these nodes, while their resulting transfer is multiplied by. This summary graph is extended by two branches from input node and to output node, the extended graph can then be interpreted by the Mason’s relation to provide transparent current transfers. Therefore it is not necessary to compose a sum admittance matrix and to express this consequently in numbers, and so it is possible to reach the final result in a graphical way.

Switched current circuits, two phases, transformation graph, Mason’s formula, current transfer, summary MC-graph.