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Short‐circuit admittance matrix synthesis with rc common‐ground networks and a minimum number of grounded finite‐gain phase‐inverting voltage‐controlled voltage sources
Author(s) -
Stamenković Borivoje B.
Publication year - 1975
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490030104
Subject(s) - admittance parameters , realization (probability) , voltage , matrix (chemical analysis) , admittance , voltage source , equivalent circuit , topology (electrical circuits) , computer science , mathematics , engineering , control theory (sociology) , electrical engineering , electrical impedance , control (management) , materials science , composite material , statistics , artificial intelligence
A new procedure for the synthesis of active RC networks when grounded finite‐gain phase‐inverting voltage‐controlled voltage sources serve as active elements is developed. It is proved that an arbitrary n × n matrix of real rational functions of the complex frequency variable can be realized as the short‐circuit admittance matrix of a grounded transformerless active RC n ‐port network containing ( n +1) grounded finite‐gain phase‐inverting voltage‐controlled voltage sources (VCVSs). In general all the ( n +1) grounded VCVSs are necessary. The structure proposed to prove a general theorem is later simplified for the realization of a restricted but important class of real rational matrices to obtain considerable savings in the computation volume and in the number of passive components used for the realization of the network. Examples are given to illustrate presented synthesis procedures.