### 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 |
---|---|

Pagina's | 1104-1115 |

Tijdschrift | IEEE Transactions on Circuits and Systems I: Regular Papers |

Volume | 66 |

Nummer van het tijdschrift | 3 |

DOI's | |

Status | Gepubliceerd - 1 mrt 2019 |

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*IEEE Transactions on Circuits and Systems I: Regular Papers*,

*66*(3), 1104-1115. DOI: 10.1109/TCSI.2018.2874570

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*IEEE Transactions on Circuits and Systems I: Regular Papers*, vol. 66, nr. 3, blz. 1104-1115. DOI: 10.1109/TCSI.2018.2874570

**Proper initial solution to start periodic steady-state-based methods.** / De Luca, Giovanni (Corresponding author); Bolcato, Pascal; Schilders, Wil H.A.

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

TY - JOUR

T1 - Proper initial solution to start periodic steady-state-based methods

AU - De Luca,Giovanni

AU - Bolcato,Pascal

AU - Schilders,Wil H.A.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

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.

KW - Computational modeling

KW - Convergence

KW - Extrapolation

KW - mathematical analysis

KW - Mathematical model

KW - non-autonomous nonlinear circuits.

KW - Nonlinear circuits

KW - Periodic steady-state methods

KW - Steady-state

KW - Time-domain analysis

KW - time-domain simulation

KW - transistor-level simulation

UR - http://www.scopus.com/inward/record.url?scp=85055877275&partnerID=8YFLogxK

U2 - 10.1109/TCSI.2018.2874570

DO - 10.1109/TCSI.2018.2874570

M3 - Article

VL - 66

SP - 1104

EP - 1115

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

T2 - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

SN - 1549-8328

IS - 3

ER -