Title :
Identification of unstable DC operating points
Author_Institution :
Dept. of Electr. Eng., VA Brno, Brno, Czech Republic
Abstract :
The Green´s “Γ-test” for identifying some unstable DC operating points of nonlinear resistive networks is analyzed. We show that some unstable operating points cannot be identified using this procedure. The described method is equivalent to the sign testing of a certain determinant of the DC circuit linearized around its operating point. Finally, we indicate a more general method based on the necessary condition of the DC operating point (in)stability
Keywords :
cascade networks; circuit analysis computing; circuit feedback; circuit stability; determinants; eigenvalues and eigenfunctions; matrix algebra; nonlinear network analysis; signal flow graphs; Green´s Γ-test; Mason´s graph; cascade circuits; circuit graphs; circuit matrices; determinant; gain product; identification; linearized circuit; multiple feedback circuits; nonlinear resistive networks; self-loops; sign testing; signal flow graph; unstable DC operating points; virtual eigenvalues; virtual voltages; Circuit stability; Circuit testing; Concrete; Differential equations; Flow graphs; Nonlinear circuits; Vectors; Voltage control;
Conference_Titel :
Electronics, Circuits and Systems, 1998 IEEE International Conference on
Conference_Location :
Lisboa
Print_ISBN :
0-7803-5008-1
DOI :
10.1109/ICECS.1998.814927
