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This paper presents three implementation algorithms of compound elements pseudo-transient analysis to find DC solutions for nonlinear LSI circuits. In former researches, CEPTA was implemented in SPICE-like simulator with the merits that the size of Jacobian matrix is not expanded during the calculation. While the inserted pseudo parts are converted to some certain equivalent circuits, the conventional...
In circuit simulation, it is of great importance to compute DC operating points of nonlinear circuits. However, the Newton-Raphson method employed in some SPICE-like simulators often fails to obtain a solution. To solve the non-convergence problem, homotopy methods receive abundant attention and have been studied from various standpoints. As to homotopy methods, the convergence property is fundamentally...
The damped pseudo-transient analysis (DPTA) method, of step 1 up to 3 are described as they are applied to a nonlinear circuit. The DPTA method with an effective implementation based on SPICE3 is compared to the pure pseudo-transient analysis and compound element pseudo-transient analysis (CEPTA) methods, and is shown to be more efficient. The first order multi-step linear integration algorithms,...
The pseudo transient-analysis method is regarded as one of the most effective method to find DC operating points for nonlinear circuits. In this paper, we combine the ramping method and the damped pseudo-transient analysis algorithm together in order to improve the simulation efficiency. By combing the two algorithms together, the oscillation problem and time-consuming problems can be greatly eliminated...
In this paper, new numerical integration algorithms with artificial damping effect are proposed which can be applied to the constant, pure PTA method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. This method can effectively avoid the oscillation and the “time step too small” problems compared with conventional PTA algorithms. The mathematical description for...
Recently, the compound element pseudo transient analysis method, CEPTA, is regarded as an efficient practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. In this paper, an effective SPICE3 implementation algorithm for the CEPTA method is proposed. It can significantly improve simulation efficiency with smaller limitations during simulation. Besides,...
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