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Characteristics of analogue circuits such as intermodulation distortion and transfer characteristics can often be received from the steady state behavior. This paper presents a unified approach for the simulation of non-autonomous circuits with multi-tone excitation. The steady state is here regarded as the solution of a partial differential-algebraic equation. A suitable numerical method for its solution is a variational method with trigonometric basis functions. The Harmonic Balance technique based either on the multi-dimensional Fourier transformation or the Artificial Frequency Map technique can be interpreted as a special variant of this method.
Übersicht
Die Eigenschaften analoger Schaltungen, die etwa Intermodulationsverzerrungen und Übertragungscharakteristiken beschreiben, lassen sich häufig im eingeschwungenen Zustands ermitteln. Dieser Beitrag stellt ein vereinheitlichtes Verfahren zur Simulation von nicht-autonomen Schaltungen bei einer Mehrton-Erregung vor. Der eingeschwungene Zustand wird als spezielle Lösung einer partiellen Algebro-Differentialgleichung formuliert. Zur numerischen Berechnung eignen sich Variationsverfahren mit trigonometrischen Ansatzfunktionen. Interessant ist, daß das Verfahren der Harmonischen Balance, sowohl basierend auf einer mehrdimensionalen Fouriertransformation als auch basierend auf einer Transformation auf ein künstliches Hilfsspektrum, als spezielle Variante dieses Ansatzes angesehen werden kann.
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This paper is dedicated to Professor Dr. rer. nat. Walter L. Engl, RWTH Aachen, on the occasion of his 70th birthday.
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Brachtendorf, H.G., Welsch, G., Laur, R. et al. Numerical steady state analysis of electronic circuits driven by multi-tone signals. Electrical Engineering 79, 103–112 (1996). https://doi.org/10.1007/BF01232919
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DOI: https://doi.org/10.1007/BF01232919