Symbolic Steady-State Analysis for Strongly Nonlinear Circuits and Systems

  • Authors:

  • Chen Wen;Henrik Floberg;Qiu Shui-Sheng

  • Affiliations:

  • Ericsson Mobile Communications AB, Nya Vattentornet, SE-221 83 Lund, Sweden;Ericsson Mobile Communications AB, Nya Vattentornet, SE-221 83 Lund, Sweden;Department of Electronics and Communications, South China University of Technology, 510641, Guangzhou, China

  • Venue:
  • Analog Integrated Circuits and Signal Processing
  • Year:
  • 2002

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Abstract

A symbolic method for steady-state analysis of nonlinear circuits and systems is presented. This method is based on the principle of the Equivalent Small Parameter method (the ESP method), which is an improved perturbation technique combined with the harmonic balance method. Using this method, a set of high-order nonlinear differential equations can be solved and the symbolic expressions of the steady-state periodic solutions for the required variables can be obtained. Two examples are given and show that the method is general and can be used for both weakly and strongly nonlinear circuits, and time-variant nonlinear circuits such as switching mode circuits.