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Nonlinear circuit analysis through periodic spline approximation

Nonlinear circuit analysis through periodic spline approximation

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A spline representation is proposed for the current or voltage periodic waveforms at the connections between the linear and nonlinear subnetworks into which the circuit is partitioned. The periodic steady-state analysis is thus reduced to the solution of a nonlinear system whose unknowns are the knot ordinates of these splines.

Inspec keywords: nonlinear network analysis; splines (mathematics)

Other keywords: periodic cubic spline functions; subnetworks; nonlinear circuit analysis; knot ordinates; waveform distortion; circuit partitioning; periodic steady state response

Subjects: Interpolation and function approximation (numerical analysis); Nonlinear network analysis and design

References

    1. 1)
      • Filicori, F., Monaco, V.A., Naldi, C.: `Simulation and design of microwave class-C amplifiers through harmonic analysis', Proceedings IEEE/MTT-s, 1979, Orlando, USA.
    2. 2)
      • C. de Boor . (1978) , A practical guide to splines.
    3. 3)
      • F.R. Colon , T.N. Trick . Fast periodic steady-state analysis for large-signal electronic circuits. IEEE J. Solid-State Circuits
    4. 4)
      • M.S. Nakhla , J. Vlach . A piecewise harmonic balance technique for determination of periodic response of non-linear systems. IEEE Trans.
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