By Resve Saleh, Shyh-Jye Jou, A. Richard Newton (auth.)
Mixed-Mode Simulation and Analog Multilevel Simulation addresses the issues of simulating whole combined analog/digital platforms within the time-domain. a whole hierarchy of modeling and simulation tools for analog and electronic circuits is defined.
Mixed-Mode Simulation and Analog Multilevel Simulation additionally presents a chronology of the examine within the box of mixed-mode simulation and analog multilevel simulation over the past ten to 15 years. moreover, it offers sufficient details to the reader in order that a prototype mixed-mode simulator will be built utilizing the algorithms during this publication.
Mixed-Mode Simulation and Analog Multilevel Simulation can be used as documentation for the SPLICE relatives of mixed-mode courses as they're in accordance with the algorithms and strategies defined during this publication.
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Extra info for Mixed-Mode Simulation and Analog Multilevel Simulation
43) may occasionally recommend rather abrupt changes in the step size. A number of experiments have shown that rapid changes in step size may introduce stability problems [BRA72]. Intuitively, the step sizes should follow the smoothness of the solution. To ensure that the changes in the step size are indeed gradual, it is convenient to set upper and lower bounds on the changes in step size. 0 ~ fLTE < a, maintain the same step size • if fLTE ;::: a, increase the step size MIN( SU , ~ fLTE ) The time step may be reduced at most by the factor most by the factor Suo SI ) and increased at The a factor permits the same step size to be used a number of times.
To handle this type of behavior, it is natural to use small time steps in the transient portion to accurately follow the solution and then to increase the step size for the remainder of the solution. However, this strategy may lead to instability of the integration method, especially for explicit integration methods. For example, if the test problem in Eq. , and A E IR, the time-step constraint given in Eq. 31) would be imposed in the entire interval even though the solution decays to zero in approximately 5't.
2: CPU-Time vs. Circuit Size in SPICE2 42 MIXED-MODE SIMULATION The circuit simulation problem, in its most general form, involves the solution of a system of nonlinear algebraic-differential equations. 15) where u is the set of primary inputs, x is a vector of unknown circuit variables and f is some nonlinear function. The vector of values specified as X are the initial conditions, and the simulation interval is [O,T]. 1. 16) where Xn is the computed solution at time tn, and hn is the time-step at time tn.
Mixed-Mode Simulation and Analog Multilevel Simulation by Resve Saleh, Shyh-Jye Jou, A. Richard Newton (auth.)