Finding all DC solutions of nonlinear resistive circuits by exploring both polyhedral and rectangular circuits

IEE Proceedings: Circuits, Devices and Systems

Volumn 144, Issue 1, 1997, Pages 17-21

  Pastore, S ^a   Premoli, A ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Circuit analysis; PWL resistive circuits

Indexed keywords

ALGORITHMS; ELECTRIC NETWORK TOPOLOGY; GEOMETRY; LINEAR NETWORKS; NETWORK COMPONENTS;

NATURAL EXPONENTIAL GROWTH; NONLINEAR RESISTIVE CIRCUITS; PIECEWISE LINEAR RESISTIVE CIRCUITS; POLYHEDRAL CIRCUITS; RECTANGULAR CIRCUITS; TERMINAL NODES;

NONLINEAR NETWORK ANALYSIS;

EID: 0031072529     PISSN: 13502409     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cds:19970900     Document Type: Article

References (13)

1. PASTORE, S., and PREMOLI, A.: 'Polyhedral elements: A new algorithm for capturing all the equilibrium points of piecewise-linear circuits', IEEE Trans. Circuits Syst., 1993, 40, (2), pp. 124-
2. PASTURE, S., and PREMOLI, A.: 'A new fast mixed algorithm for finding all DC solutions of nonlinear resistive circuits'. Proceedings of 1995 international symposium on Nonlinear theory and its applications (NOLTA '95), Las Vegas, USA, 10-14 December 1995, Vol. 1, pp. 441-444
3. CHUA, L.O., and LIN, P.M.: 'Computer aided analysis of electronic circuits: algorithms and computational techniques' (Prentice-Hall, EnglewoodClifTs, 1975)
4. KATZENELSON, J.: 'An algorithm for solving nonlinear resistor networks', Bell Syst. Tech. J., 1965, 44, pp. 1605-1620
5. YAMAMURA, K., and OCHIAI, M.: 'An efficient algorithm for finding all solutions of piecewise-linear resistive circuits', IEEE Trans. Circuits Syst., 1991, CAS-39, (3), pp. 213-221
6. YAMAMURA, K., and MISHINA, M.: 'An algorithm for finding all solutions of piecewise-linear resistive circuits'. Proceedings of 1995 European conference on Circuit theory and design (ECCTD '95), Istanbul, Turkey, 27-31 August 1995, Vol. 1, pp. 123-126
7. YAMAMURA, K., and OHSHIMA, T.: 'Finding all solutions of piecewise-linear resistive circuits using linear programming'. Proceedings of 1995 international symposium on Nonlinear theory and its applications (NOLTA '95), Las Vegas, USA, 10-14 December 1995, Vol. 2, pp. 775-780
8. STEVENS, S.N., and LIN, P.M.: 'Analysis of piecewise-linear resistive networks using complementary pivot theory', IEEE Trans. Circuits Syst., 1981, CAS-28, (5), pp. 429-41
9. VAN EYNDHOVEN, J.T.J.: 'Solving the linear complementarity problem in circuit simulation', SI AM J. Control Optim., 1986, 24, (5), pp. 1050-1062
10. CHUA, L.O., and YING, R.L.P.: 'Finding all solutions of piecewise-linear circuits', Int. J. Circuit Theory Appl., 1982, 10, pp. 201-229
11. HUANG, Q., and LIU, R.W.: 'A simple algorithm for finding all solutions of piecewise-linear networks', IEEE Trans. Circuits Syst., 1989, 36, (4), pp. 600-609
12. VANDENBERGHE, L., DE MOOR, B.L., and VANDEWALLE, J.: 'The generalized linear complementarity problem applied to the complete analysis of resistive piecewise-linear circuits', IEEE Trans. Circuits Syst., 1989, 36, (11), pp. 1382-1391
13. TADEUSIEWICZ, M., and GLOWIENKA, K.: 'A contraction algorithm for finding all the DC solutions of piecewise-linear circuits', J. Circuits Syst. Comput., 1994, 4, (3), pp. 319-336