Applying fixed point homotopy to nonlinear DAEs deriving from switching circuits

Authors:
E. Chiarantoni;G. Fornarelli;S. Vergura;T. Politi
Affiliations:
Dipartimento di Elettronica ed Elettrotecnica, Politecnico di Bari, Via Orabona 4, I-70125 Bari, Italy;Dipartimento di Elettronica ed Elettrotecnica, Politecnico di Bari, Via Orabona 4, I-70125 Bari, Italy;Dipartimento di Elettronica ed Elettrotecnica, Politecnico di Bari, Via Orabona 4, I-70125 Bari, Italy;Dipartimento Interuniversitario di Matematica, Politecnico di Bari, Via Orabona 4, I-70125 Bari, Italy
Venue:
Future Generation Computer Systems - Special issue: Geometric numerical algorithms
Year:
2003

Citing 3
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Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms

ACM Transactions on Mathematical Software (TOMS)
Circuit Simulation Methods and Algorithms

Circuit Simulation Methods and Algorithms
Inside Spice

Inside Spice

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Abstract

The time-domain analysis of switching circuits is a time consuming process as the change of switch state produces sharp discontinuities in switch variables. In this paper, a method for fast time-domain analysis of switching circuits is described. The proposed method is based on piecewise temporal transient analysis windows joined by DC analysis at the switching instants. The DC analysis is carried out by means of fixed point homotopy to join operating points between consecutive time windows. The proposed method guarantees accurate results reducing the number of iterations needed to simulate the circuit.