A Linear-Centric Modeling Approach to Harmonic Balance Analysis

  • Authors:
  • P. Li;L. Pileggi

  • Affiliations:
  • Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA;Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA

  • Venue:
  • Proceedings of the conference on Design, automation and test in Europe
  • Year:
  • 2002

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Abstract

In this paper we propose a new harmonic balance simulationmethodology based on a linear-centric modeling approach.A linear circuit representation of the nonlineardevices and associated parasitics is used along with correspondingtime and frequency domain inputs to solve for thenonlinear steady-state response via successive chord (SC) iterations.For our circuit examples this approach is shown tobe up to 60x more run-time efficient than traditional Newton-Raphson(N-R) based iterative methods, while providing thesame level of accuracy. This SC-based approach convergesas reliably as the N-R approaches, including for circuitproblems which cause alternative relaxation-based harmonicbalance approaches to fail[1][2]. The efficacy of this lin-earcentric methodology further improves with increasingmodel complexity, the inclusion of interconnect parasiticsand other analyses that are otherwise difficult with traditionalnonlinear models.