Title :
DC solution of nonlinear state-space equations in circuit analysis
fDate :
3/1/1971 12:00:00 AM
Abstract :
A reliable algorithm is described for calculation of the initial condition state vector as formulated in network transient analysis programs. The algorithm is based on a combination of Davidenko´s parameter-stepping method and Broyden´s method. It has been found to give fast reliable solutions even in cases for which most Newton-Raphson methods fail to converge, as well as for circuits that produce singular systems of equations at the starting point.
Keywords :
Computer-aided circuit analysis; Nonlinear network analysis & design; Nonlinear networks; State-space methods; Capacitors; Circuit analysis; Current measurement; Inductors; Jacobian matrices; Newton method; Nonlinear equations; Transient analysis; Turning; Voltage;
Journal_Title :
Circuit Theory, IEEE Transactions on
DOI :
10.1109/TCT.1971.1083271