Proper initial solution to start periodic steady-state-based methods

Giovanni De Luca (Corresponding author), Pascal Bolcato, Wil H.A. Schilders

Uittreksel

We present a numerical technique that automatically identifies a suitable initial solution to start periodic steady-state methods for simulating non-autonomous circuits at transistor-level. The method avoids the guessing of the initial solution, which may result in divergence of the steady-state method used. For high-Q oscillating circuits, acceleration methods are used to compute the periodic solution. For strongly nonlinear circuits, such as delay-locked loops and switching-mode power supplies, time-domain methods are preferred, e.g., Shooting-Newton. Usually, a number of pre-integration periods is guessed to provide an initial solution for the acceleration method. However, the method may diverge, then the guessing has to be repeated with no clue on the next one. Instead, the technique described here identifies a proper initial solution that makes the method converges, works in the time-domain and makes use of information stored during the integration process, thus is non-invasive for commercial circuit simulators and can be implemented with little effort. Besides, it works in parallel with the integration process, thus computations are cheap to perform. We show experimental results from applying our technique and then start shooting-Newton on five circuits, among which three are industrial and two are strongly nonlinear, that confirm the validity of our mathematical analyses.

Taal Engels 1104-1115 IEEE Transactions on Circuits and Systems I: Regular Papers 66 3 10.1109/TCSI.2018.2874570 Gepubliceerd - 1 mrt 2019

Vingerafdruk

Networks (circuits)
Transistors
Simulators

Citeer dit

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title = "Proper initial solution to start periodic steady-state-based methods",
abstract = "We present a numerical technique that automatically identifies a suitable initial solution to start periodic steady-state methods for simulating non-autonomous circuits at transistor-level. The method avoids the guessing of the initial solution, which may result in divergence of the steady-state method used. For high-Q oscillating circuits, acceleration methods are used to compute the periodic solution. For strongly nonlinear circuits, such as delay-locked loops and switching-mode power supplies, time-domain methods are preferred, e.g., Shooting-Newton. Usually, a number of pre-integration periods is guessed to provide an initial solution for the acceleration method. However, the method may diverge, then the guessing has to be repeated with no clue on the next one. Instead, the technique described here identifies a proper initial solution that makes the method converges, works in the time-domain and makes use of information stored during the integration process, thus is non-invasive for commercial circuit simulators and can be implemented with little effort. Besides, it works in parallel with the integration process, thus computations are cheap to perform. We show experimental results from applying our technique and then start shooting-Newton on five circuits, among which three are industrial and two are strongly nonlinear, that confirm the validity of our mathematical analyses.",
keywords = "Computational modeling, Convergence, Extrapolation, mathematical analysis, Mathematical model, non-autonomous nonlinear circuits., Nonlinear circuits, Periodic steady-state methods, Steady-state, Time-domain analysis, time-domain simulation, transistor-level simulation",
author = "{De Luca}, Giovanni and Pascal Bolcato and Schilders, {Wil H.A.}",
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journal = "IEEE Transactions on Circuits and Systems I: Regular Papers",
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Proper initial solution to start periodic steady-state-based methods. / De Luca, Giovanni (Corresponding author); Bolcato, Pascal; Schilders, Wil H.A.

In: IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 66, Nr. 3, 01.03.2019, blz. 1104-1115.

TY - JOUR

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AU - De Luca,Giovanni

AU - Bolcato,Pascal

AU - Schilders,Wil H.A.

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AB - We present a numerical technique that automatically identifies a suitable initial solution to start periodic steady-state methods for simulating non-autonomous circuits at transistor-level. The method avoids the guessing of the initial solution, which may result in divergence of the steady-state method used. For high-Q oscillating circuits, acceleration methods are used to compute the periodic solution. For strongly nonlinear circuits, such as delay-locked loops and switching-mode power supplies, time-domain methods are preferred, e.g., Shooting-Newton. Usually, a number of pre-integration periods is guessed to provide an initial solution for the acceleration method. However, the method may diverge, then the guessing has to be repeated with no clue on the next one. Instead, the technique described here identifies a proper initial solution that makes the method converges, works in the time-domain and makes use of information stored during the integration process, thus is non-invasive for commercial circuit simulators and can be implemented with little effort. Besides, it works in parallel with the integration process, thus computations are cheap to perform. We show experimental results from applying our technique and then start shooting-Newton on five circuits, among which three are industrial and two are strongly nonlinear, that confirm the validity of our mathematical analyses.

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KW - Extrapolation

KW - mathematical analysis

KW - Mathematical model

KW - non-autonomous nonlinear circuits.

KW - Nonlinear circuits

KW - Time-domain analysis

KW - time-domain simulation

KW - transistor-level simulation

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