Title :
Assembling a matrix switched circuit derived from the method of two graphs
Author_Institution :
Dept. of Electr. Eng., Univ. of Pardubice, Pardubice, Czech Republic
Abstract :
Matrix methods are very useful tool for the analysis of switched circuits. Their derivation from two-graph method is described. The two-graph method is one of many methods for solving switched circuits. If this method is used it is necessary to draw a circuit diagram for each switching phase separately. Nodes it is necessary to describe differently in each phase of switching and moreover it is necessary to distinguish between the nodes of voltage and the charge. However, it is possible on the basis of this method to derive a method of reducing of decomposition relationship. In this case, the circuit is described only by a mathematical relationship. This relationship is decomposed in next step into relations for the partial phases. Based on the decomposed relationship, the matrices are assembled, from which is assembled the resulting matrix of SC circuit. A clearly arranged decomposed relationship derived from the method of two-graphs can be used for analyzing capacitor switched networks and of course for understanding them, too. It is described one of method finding reducing algorithm.
Keywords :
circuit diagrams; graph theory; matrix algebra; switched capacitor networks; SC circuit; capacitor switched network; circuit diagram; decomposition relationship; mathematical relationship; matrix switched circuit; switching phase; two graph method; Capacitance; Colon; Matrix decomposition; Operational amplifiers; Switched circuits; Switches; Switching circuits; Q-graph; V-graph; two graphs method; two phase switching;
Conference_Titel :
Radioelektronika (RADIOELEKTRONIKA), 2015 25th International Conference
Conference_Location :
Pardubice
Print_ISBN :
978-1-4799-8117-5
DOI :
10.1109/RADIOELEK.2015.7128976