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The Cut-insertion theorem, also known as Pellegrini's theorem,〔Bruno Pellegrini has been the first Electronic Engineering graduate at the University of Pisa where is currently Professor Emeritus. He is also author of the Electrokinematics theorem, that connects the velocity and the charge of carriers moving inside an arbitrary volume to the currents, voltages and power on its surface through an arbitrary irrotational vector.〕 is a linear network theorem that allows transformation of a generic network N into another network N' that makes analysis simpler and for which the main properties are more apparent. ==Statement== Let ''e'', ''h'', ''u'', ''w'', ''q=q, and '' t=t' '' be six arbitrary nodes of the network N and '''' be an independent voltage or current source connected between ''e'' and ''h'', while '''' is the output quantity, either a voltage or current, relative to the branch with immittance , connected between ''u'' and ''w''. Let us now cut the '' qq' '' connection and insert a three-terminal circuit ("TTC") between the two nodes ''q'' and ''q' '' and the node '' t=t' '', as in figure b ( and are homogeneous quantities, voltages or currents, relative to the ports ''qt'' and '' q'q't' '' of the TTC). In order for the two networks N and N' to be equivalent for any , the two constraints and , where the overline indicates the dual quantity, are to be satisfied. The above mentioned three-terminal circuit can be implemented, for example, connecting an ideal independent voltage or current source between ''q' '' and '' t' '', and an immittance between ''q'' and ''t''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cut-insertion theorem」の詳細全文を読む スポンサード リンク
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