This paper considers the harmonic balance method (HB) in conjunction with the probe insertion technique. In general, the nonlinear equations modeling the circuit in the frequency domain are solved with the Newton iterative method. It is known that, in many cases, probe insertion in the original circuit shows better convergence properties of the Newton method and therefore of the harmonic balance when simulating autonomous circuits. The probe technique is considered here in detail, and numerical aspects are discussed mainly for what concerns the condition number of the Jacobian matrix related to the Newton method. The probe technique is then improved by exploiting properties of the power exchanged between the probe and the circuit in which it is inserted; moreover, an automatic probe insertion mechanism is detailed.

Robust harmonic-probe method for the simulation of oscillators

BRAMBILLA, ANGELO MAURIZIO;GRUOSSO, GIAMBATTISTA;STORTI GAJANI, GIANCARLO
2010-01-01

Abstract

This paper considers the harmonic balance method (HB) in conjunction with the probe insertion technique. In general, the nonlinear equations modeling the circuit in the frequency domain are solved with the Newton iterative method. It is known that, in many cases, probe insertion in the original circuit shows better convergence properties of the Newton method and therefore of the harmonic balance when simulating autonomous circuits. The probe technique is considered here in detail, and numerical aspects are discussed mainly for what concerns the condition number of the Jacobian matrix related to the Newton method. The probe technique is then improved by exploiting properties of the power exchanged between the probe and the circuit in which it is inserted; moreover, an automatic probe insertion mechanism is detailed.
2010
sezele
File in questo prodotto:
File Dimensione Formato  
Robust harmonic.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 634.51 kB
Formato Adobe PDF
634.51 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/577100
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 12
social impact